What is sensitivity --- Marc Levoy

Take the rainfall analogy: light energy is like rainfall; more intense rain, higher the rainfall but does not matter how large the aperture of the gauge is, all would indicate the same rainfall (within reason) over time.
It really depends what you want to measure. If you're a meteorologist, you'd only care about the height to which the gauge is filled over a standard [24h] period of time.
Indeed, and I had hoped that by now, it would be obvious that I am not saying 5 gallon bucket would collect the same amount of rain water as a gallon bucket.
But if you want to store the rainwater for your fields, the size of the water basin becomes very relevant: a basin of 36m * 24m has a surface of 864m2, one of 17.3m * 13m has a surface of 225m2. That means the bigger basin can receive almost 4 times as much water as the smaller one, given the same depth.

Sounds almost like the E word
The conversation is if "total light energy" as defined in the Manual of Photography to be the "photographic exposure", is a good definition or not good or completely wrong.

I've been trying to explain why I think it is a good definition. However, I realize, it depends what "light energy" means. To me, it simply the intensity or the amplitude of light energy. Bobn2 says, it's intensity, time and area. I beg to differ as "joules" is a scalar quantity, measured only in "amplitude". However, he knows a heck of lot more than I do and can say that way better than I ever can.

Another way to understand "light energy" is the amplitude of the EM field. Does it mean an EM field with higher amplitude more intense light? How does that compare with light with more photons per unit volume?

I think I see where bobn2 is coming from that without clear understanding of Quantum Exposure, it may be difficult to answer/understand and I am not sure if I have enough years left in me to get into that rut ;-)

I'm reading this article:

QUANTUM THEORY OF PHOTOGRAPLIICEXPOSURE
Hey, mbp! How are you making out with Dr. Silberstein? It has been 4 days since you posted the above. Anything to report?
Well, not very far; however, somewhat tangentially I 've thinking what is the difference between heat and temperature ;-)
Have you read the link you offered us yet? If so did you learn what Silberstein uses as Exposure of a sensitive halide film?

The difference between heat and temperature is a very common misconception in the popular literature including in the minds of elementary school teachers. They plant seeds of misunderstanding because they, themselves, do not understand the difference, mainly because they are often memorizing definitions without understanding the physics/thermodynamics behind the definitions. Too bad for their students.

Heat is an extensive property of a system, being the energy that passes spontaneously from a hotter system to a colder body, without work being performed, if there is a heat transfer pathway. It is measured in calories, Joules and other units depending on the application.

Temperature is an intensive property of a system, or body which measure the relative hotness or coldness of a system or body. It is measured using a temperature scale, commonly, C, F, and K. It can be considered from the point of view of the Kinetic Theory of particles in a fluid, or more generally from a Thermodynamics point of view.

Since the link you provided did not include Papers I, II, III which made reading the summary paper a little difficult, I took the liberty of finding his work in the BHL, starting at Page 257. http://www.biodiversitylibrary.org/item/121877#page/269/mode/1up

In the link you provided above , Silberstein develops (page 129) his Equation (1) which is preceded by this:
  • "But the knowledge of the type is required only in order to derive the integral law, concerning the photographic “density" as a whole, from the elementary law of exposure concerning each size-class of grains separately. To begin with the latter, let there be, per unit area of the plate, N grains or targets each of size (area) a, which can be measured, and let n be the number of light-darts, again per unit area, impinging upon the plate. Let e be the fraction* of the area of each target vulnerable to light, i.e., such that on being hit by at least one light-dart of sufficiently small wave-length, it becomes itself and therefore also makes the whole target or grain developable. Then the total number k of grains affected or made developable by this shower of n darts will be, statistically (cf. Paper I),
    (1) k =N(l-e^-ean)." [ the “e” in "ean” represents epsilon in Silberstein’s Equation (1)]
Please note Silberstein's use of "per unit area" in the definition of both N and n. That was back in 1922. Nothing has changed. A mark of a good model is that the fundamental definitions don't change.

I am no expert on sensitometry and I have no particular interest in learning more about it. But it is clear to me that Silberstein, way back in 1922, used the usual scientific definition of Exposure (photography) , namely:
The bolding of amount of light per unit area is mine. ( It is the result of integrating the area power density [with respect to time] to give the area energy density.)
"amount of light per unit area" is measure of unit of "light power"
Wrong. Please re-read the sentence in the brackets.
as opposed to what is "light power".
Amount of light per unit area is the energy density, not the power density.
It kinda makes me ask what "is" is...
I'd advise you to read what is written before traipsing off into your personal wilderness.

As I said earlier, "amount of light per unit area" can be expressed as a distance from a light source.
Nope. "a distance from a light source" is measured in meters etc. "amount of light per unit area" is measured in lux seconds. Re-read the work that Tony Field did for you.
The predilection for lumen/m^2 is to multiply with a sensor area and derive "total amount of light".
Of course!

Do you know what linear density is? Give an example please.

Do you know what surface or area density is? Give an example please.

Do you know what volume density is? Give and example please.

Are the above densities intensive or extensive variables?
However, "more light" over wider area is not same as "more light" over a same area; former does not affect "exposure" and the latter does. Of course, I realize you know this.
No I don't as it is an incomprehensible statement.
imho, "more light (energy)" should mean higher EM amplitude or higher photon density.
What??? I thought you said you were an EE! JC Maxwell would roll over in his grave. (So would Max Planck.)
I always had a difficult time when telling my undergraduate students, "The textbook is wrong." It was a lot easier with grad students as they were a bit more mature.
I then always wondered, "why did you choose this text book..."; I realize probably you did not pick the book. ;-)
I usually did pick the text.
But since most texts have errata, one of my responsibilities as a teacher is to point or errors in textbooks, the literature, manuals etc.
I suggest that you consider the above possibility when you continually quote an incorrect definition from the Manual of Photography.
What is exposure is "total light energy".
Wrong.
I can now say that with 92% confidence level.
Why not say it correctly and go for 100%?

Exposure (photography) is the amount of light per unit area, measured in lux-sec.
What is the exposure for your next gig is:
"Let's see, light power density of 10, 500W bulbs over 50m^2 area is 1018 lux; and EV15 is 4096 lux-second, so use EV11 for "exposure", or use an incident meter :-D
As you know, internet articles and the consumer photography press is filled with incorrect definitions. You could latch onto a wide variety of definitions of Exposure, ISO, Exposure Triangles etc if you wish. It gets quite difficult to learn more advanced topics, though, if you insist on using incorrect vocabulary.
MoP, however, is not every other Tom, **** and Harry web article.
Is this an appeal to authority? So you not have the ability to understand and to rationally criticize a sentence that you say is in the MoP.
So I expended little more time trying to understand what they meant.
Better spend a little more time.
Just for the fun of it, try using Silberstein's "light-darts" instead of "quanta" and see how far it gets you on this forum.

Thanks for the reference to Silberstein. I haven't heard of him since my days as an undergraduate engineer when I had a lab instructor who couldn't understand A.E. and therefore dismissed his theories, including the PE Effect. His lack of understanding, in that case, was caused by a false understanding of "stopping potential" when dealing with Photoelectrons.
BTW, I have not dismissed any theory.
Have you learned which theories are applicable to the Exposure (photography) yet?
The false understanding was based on confusion between of the "Intensity of light" and the "energy of quanta", a confusion that still existed to this day with undergraduates who have been improperly taught, by teachers who weren't "pedantic" enough (when defining such terminology.)
A fighter pilot/professor is rather powerful combination, if I may say so.
Both help me to make the occasional nice photo.
Of course no properly trained Solid State EE would endure that confusion.
Indeed, a properly trained Solid State EE would never endure that confusion; OTOH, like myself, confusion is what keeps me going :-( ;-)
Most of the rest of us try to minimize confusion by correcting false definitions and concepts so that they don't contaminate the minds of folks who want to learn useful stuff, not play around with non-sequiturs .
By the way, have you ever considered an exposure with varying scene Luminance with monochromatic light? That is, where the area density of light is high resulting in a dark portion of the developed emulsion or a bright portion of the digital jpeg? Something to think about.
Indeed, a photo of non-varying scene Luminance would be as interesting as a photo of gray card, which, incidentally, is loved by the DPR forumites, so it seems. ;-)
Think about a scene with varying reflectance illuminated by monochromatic light. Does the Exposure (photographic) vary from region to region on the surface of the sensor at the end of the open shutter interval?

I suggest that you at least try to answer the questions posed above. That will give us some feedback to determine where your misunderstandings are.

Thanks for the link.
The pleasure is all mine and to keep this on topic -

Do you see the difference in "what is sensitivity" vs. "what is the sensitivity of camera"?
Yes. As you read in my answers to both bobn2 and Iliah Borg, I have a background in both electronics where, in the receiver world, sensitivity refers to the minimum detectable signal and in transducers, where sensitivity refers to the derivative of a transfer function. I am aware of the difficulty of relating exposure (photography) to output brightness. While exposure (photography) is very well defined, output brightness is not, leading to a very vague transfer function.
I see the parallel with what is "exposure" and what is the exposure (or heat and temperature, another example). YMMV.
Oh. Try using Exposure (photography) and you'll see the errors that you are propagating.
BTW, it's mostly semantics, as usual...
No it is not. There is a discipline and rigor to scientific and engineering discourse. Yes, the context has a lot to do with the discussion but in this case it is a sloppy use of terminology by a correspondent who has little respect for discipline and rigor in his utterances.
 
If you care, allow me to start from this and we can first agree or disagree. Otherwise, rest of the conversation is not useful. I'll get back to the full length when I can digest it better.

I content that: (2x lux)-second-m^2 is != lux-second-(2x m^2). Different brightness, for example. Agree or not?
 
After this one; I promise :-D

"Total light energy" of a solar panel is exposure * area.
As an engineer you would use the following radiometric terms to state the above:

Radiant Energy collected by a solar panel of effective area, A, is (Radiant Exposure, H(e), in Joules / square meter) x Area (square meters)
Exposure is "EM field Amplitude (magnitude)" integrated over time,
What is the relationship of "Electromagnetic field Amplitude (magnitude)" with Irradiance/Flux density?

Radiant Exposure isIrradiance/Flux density , ( E(e), Watts per square meter) integrated over time.
which is also "Total light energy".
Nope, it is Radiant Exposure, H(e), measured in joules/square meter. To get the total energy collected by a solar collector you would have to multiply by the effective area of the solar panel. **

Same mistake that you make with photometry.
I chose "EM field magnitude" as the general case and to get away from "photon energy" which is a function of "color/frequency".
Good idea not to use photon energy as you do not understand the relationships with photometry, radiometry and quantum optics. But what on earth is EM field magnitude? Which field, electric? magnetic? amplitude?
It turns out "energy" is fungible ;-)
Perhaps that belief is the source of your problems. You mix energy and its rate of transmission (power). You mix density with total amounts. You can't seem to keep integration wrt time separate from integration wrt area when dealing with a flux.

Better go back to your EE texts to refresh yourself on the meaning of the terms in Table I and Table 2.
I am not asking you to agree with me; it would be nice however if you understood what I am trying to say and perhaps why, rather than being dismissive.
Honestly, I am trying to understand what you are saying. When I see an error I try to show you the rigor of how scientists and engineers communicate about these topics. Most of the stuff you are saying indicates that you are stringing words together without understanding what they mean, physically and mathematically. You seem to have a very minimal understanding of the physics of photometry.

I think that I do understand why you insist of using incorrect vocabulary. Most students realize when they make fundamental errors. You don't. You say that you understand. I breathe a sigh of relief. Then I see you making the very same errors in the next paragraph.
BTW, I'm really over "per m^2".
Then why are you making the same mistakes above. Over and over again. See ** above.

Have a look at this: https://en.wikipedia.org/wiki/Irradiance#Solar_energy where:

"The integral of solar irradiance over a time period is called "solar exposure" or "insolation""

You will find popular articles using insolation to mean solar irradiance. Wrong. Not to be used by professionals, who (are supposed to) know the difference between power and energy.
Now back to sensitivity: another way to have "more sensitive camera" is larger number of bits in the ADC so that a smaller variation in the input light level difference shows up as a difference in the digital value.
Yes, in addition to other factors, the above is correct.
However, overall sensitivity (and DR) is limited by the 8 bit JPEG range.
For operators whose output is an OOC Jpeg image. What about operators who chose to output a raw file and do their conversions downstream?
By tone mapping, the sensitivity can be increased at lower DR and vice versa.
I don't understand the above.
It all works out, kinda to prove there is no free lunch.
True.
Pre-ADC amplification does the same thing for the small variation in the input level that would have been missed by the ADC. Again obviously, at the expense of lowered DR.
See Martinec.
This seems to apply both for the Minimum Discernible Signal Sensitivity as well as More output per input level change Sensitivity as well.
See the earlier discussion with Iliah Borg.
Stream of consciousness musing, I'm afraid. ;-)
Seems that way, alright.

Back to Mark Levoy , now?
 
If you care, allow me to start from this and we can first agree or disagree. Otherwise, rest of the conversation is not useful. I'll get back to the full length when I can digest it better.

I content that: (2x lux)-second-m^2 is != lux-second-(2x m^2).
Left hand side: You are doubling the Exposure, then multiplying by the area of the sensor to get the total light on the sensor.

Right hand side: You are holding the Exposure constant and multiplying by twice the area of the sensor you again get the total light on the sensor.

The total light on the sensor is the same in both cases.

So you can get the same total light on a sensor by either doubling the Exposure OR by doubling the area.

This is quite intuitively reasonable in the case of maximizing SNR in the shadows. I don't find it so intuitive when considering DoF.

If you are merely checking on the Associative Law of Multiplication , then you are again correct, although I would not write it that way. What computer programming language did you use in EE school?
Different brightness, for example.
Brightness??? of what? You calculated total light above (in lumen -seconds.)

Brightness usually relates to Exposure (photography) (in lux-seconds.)

Getting mixed up between light density and total light again?
 
If you care, allow me to start from this and we can first agree or disagree. Otherwise, rest of the conversation is not useful. I'll get back to the full length when I can digest it better.

I content that: (2x lux)-second-m^2 is != lux-second-(2x m^2).
Left hand side: You are doubling the Exposure, then multiplying by the area of the sensor to get the total light on the sensor.

Right hand side: You are holding the Exposure constant and multiplying by twice the area of the sensor you again get the total light on the sensor.

The total light on the sensor is the same in both cases.

So you can get the same total light on a sensor by either doubling the Exposure OR by doubling the area.

This is quite intuitively reasonable in the case of maximizing SNR in the shadows. I don't find it so intuitive when considering DoF.

If you are merely checking on the Associative Law of Multiplication , then you are again correct, although I would not write it that way.
It was for illustrative purposes.
What computer programming language did you use in EE school?
FORTRAN, if you must know.
Different brightness, for example.
Brightness??? of what? You calculated total light above (in lumen -seconds.)

Brightness usually relates to Exposure (photography) (in lux-seconds.)

Getting mixed up between light density and total light again?
No, total light of area is a meaningless value for the image sensor output simply because unlike a solar panel, image sensor pixels are not interchangeable after the exposure. The useful information off the image sensor is the difference among the pixels. And of course you know that the exposure difference on each pixels is what forms the image, not the total light.

BTW, "total light energy" is valid for "light energy" integrated over time or area or both time and area and even integrated over a volume.

As you say left side is "exposure" and right side is "solar panel output" as I say.
--
Tom
The best part of growing old is having the opportunity to do so.
https://brtthome.wordpress.com/
 
After this one; I promise :-D

"Total light energy" of a solar panel is exposure * area.
As an engineer you would use the following radiometric terms to state the above:

Radiant Energy collected by a solar panel of effective area, A, is (Radiant Exposure, H(e), in Joules / square meter) x Area (square meters)
Exposure is "EM field Amplitude (magnitude)" integrated over time,
What is the relationship of "Electromagnetic field Amplitude (magnitude)" with Irradiance/Flux density?

Radiant Exposure isIrradiance/Flux density , ( E(e), Watts per square meter) integrated over time.
which is also "Total light energy".
Nope, it is Radiant Exposure, H(e), measured in joules/square meter. To get the total energy collected by a solar collector you would have to multiply by the effective area of the solar panel. **

Same mistake that you make with photometry.
Are you saying collecting over a longer period is not more light enegy?
I chose "EM field magnitude" as the general case and to get away from "photon energy" which is a function of "color/frequency".
Good idea not to use photon energy as you do not understand the relationships with photometry, radiometry and quantum optics. But what on earth is EM field magnitude? Which field, electric? magnetic? amplitude?
In RF communications, as you know, it's known as signal strength and higher signal strength transmits more power or transport more energy per unit time.
It turns out "energy" is fungible ;-)
Perhaps that belief is the source of your problems. You mix energy and its rate of transmission (power). You mix density with total amounts. You can't seem to keep integration wrt time separate from integration wrt area when dealing with a flux.
As a good faith, I will happily admit that "flux" is the squishiest concept for me.

Larger beam of light and smaller beam of light from same watt light source; does both beam have same flux but smaller beam has higher "flux density" or is flux already a "density term"?
Better go back to your EE texts to refresh yourself on the meaning of the terms in Table I and Table 2.
I am not asking you to agree with me; it would be nice however if you understood what I am trying to say and perhaps why, rather than being dismissive.
Honestly, I am trying to understand what you are saying. When I see an error I try to show you the rigor of how scientists and engineers communicate about these topics. Most of the stuff you are saying indicates that you are stringing words together without understanding what they mean, physically and mathematically. You seem to have a very minimal understanding of the physics of photometry.
All I meant to do is express my view of why "total light energy" is a valid understanding of what is "exposure" if it meant not what is a unit of exposure. Your citation is describing more the unit of exposure. At the risk of mixed terminology "signal strength of light integrated over time" is another "total light energy". Light power integrated over time is light energy, is it not? If I have this wrong; I do apologies wasting your time.
I think that I do understand why you insist of using incorrect vocabulary. Most students realize when they make fundamental errors. You don't. You say that you understand. I breathe a sigh of relief. Then I see you making the very same errors in the next paragraph.
BTW, I'm really over "per m^2".
Then why are you making the same mistakes above. Over and over again. See ** above.

Have a look at this: https://en.wikipedia.org/wiki/Irradiance#Solar_energy where:

"The integral of solar irradiance over a time period is called "solar exposure" or "insolation""

You will find popular articles using insolation to mean solar irradiance. Wrong. Not to be used by professionals, who (are supposed to) know the difference between power and energy.
Now back to sensitivity: another way to have "more sensitive camera" is larger number of bits in the ADC so that a smaller variation in the input light level difference shows up as a difference in the digital value.
Yes, in addition to other factors, the above is correct.
However, overall sensitivity (and DR) is limited by the 8 bit JPEG range.
For operators whose output is an OOC Jpeg image. What about operators who chose to output a raw file and do their conversions downstream?
By tone mapping, the sensitivity can be increased at lower DR and vice versa.
I don't understand the above.
It all works out, kinda to prove there is no free lunch.
True.
Pre-ADC amplification does the same thing for the small variation in the input level that would have been missed by the ADC. Again obviously, at the expense of lowered DR.
See Martinec.
This seems to apply both for the Minimum Discernible Signal Sensitivity as well as More output per input level change Sensitivity as well.
See the earlier discussion with Iliah Borg.
Stream of consciousness musing, I'm afraid. ;-)
Seems that way, alright.

Back toMark Levoy , now?

--
Tom
The best part of growing old is having the opportunity to do so.
https://brtthome.wordpress.com/
 
After this one; I promise :-D

"Total light energy" of a solar panel is exposure * area.
As an engineer you would use the following radiometric terms to state the above:

Radiant Energy collected by a solar panel of effective area, A, is (Radiant Exposure, H(e), in Joules / square meter) x Area (square meters)
Exposure is "EM field Amplitude (magnitude)" integrated over time,
What is the relationship of "Electromagnetic field Amplitude (magnitude)" with Irradiance/Flux density?

Radiant Exposure isIrradiance/Flux density , ( E(e), Watts per square meter) integrated over time.
which is also "Total light energy".
Nope, it is Radiant Exposure, H(e), measured in joules/square meter. To get the total energy collected by a solar collector you would have to multiply by the effective area of the solar panel. **

Same mistake that you make with photometry.
Are you saying collecting over a longer period is not more light enegy?
He already factored in the time by specifying Joules rather than Watts.
 
After this one; I promise :-D

"Total light energy" of a solar panel is exposure * area.
As an engineer you would use the following radiometric terms to state the above:

Radiant Energy collected by a solar panel of effective area, A, is (Radiant Exposure, H(e), in Joules / square meter) x Area (square meters)
Exposure is "EM field Amplitude (magnitude)" integrated over time,
What is the relationship of "Electromagnetic field Amplitude (magnitude)" with Irradiance/Flux density?

Radiant Exposure isIrradiance/Flux density , ( E(e), Watts per square meter) integrated over time.
which is also "Total light energy".
Nope, it is Radiant Exposure, H(e), measured in joules/square meter. To get the total energy collected by a solar collector you would have to multiply by the effective area of the solar panel. **

Same mistake that you make with photometry.
Are you saying collecting over a longer period is not more light enegy?
He already factored in the time by specifying Joules rather than Watts.
So collecting energy for longer period is more energy and collecting more power for longer period is more energy; would you kindly make up your mind?

Just I'm kidding...

But seriously, Collecting more Joules over more area is "total energy" and collecting more power from more powerful source over time and/or longer time is also "total energy", yes?

Is this not semantics?
--
Bob.
DARK IN HERE, ISN'T IT?
 
After this one; I promise :-D

"Total light energy" of a solar panel is exposure * area.
As an engineer you would use the following radiometric terms to state the above:

Radiant Energy collected by a solar panel of effective area, A, is (Radiant Exposure, H(e), in Joules / square meter) x Area (square meters)
Exposure is "EM field Amplitude (magnitude)" integrated over time,
What is the relationship of "Electromagnetic field Amplitude (magnitude)" with Irradiance/Flux density?

Radiant Exposure isIrradiance/Flux density , ( E(e), Watts per square meter) integrated over time.
which is also "Total light energy".
Nope, it is Radiant Exposure, H(e), measured in joules/square meter. To get the total energy collected by a solar collector you would have to multiply by the effective area of the solar panel. **

Same mistake that you make with photometry.
Are you saying collecting over a longer period is not more light enegy?
He already factored in the time by specifying Joules rather than Watts.
So collecting energy for longer period is more energy and collecting more power for longer period is more energy; would you kindly make up your mind?

Just I'm kidding...

But seriously, Collecting more Joules over more area is "total energy" and collecting more power from more powerful source over time and/or longer time is also "total energy", yes?

Is this not semantics?
Semantics is the meaning of things. so yes it's semantics.

The basic semantics which makes Physics what it is. It seems that your brain reravels it even as it unravels. Frankly, you're tilting at windmills with this.
 
After this one; I promise :-D

"Total light energy" of a solar panel is exposure * area.
As an engineer you would use the following radiometric terms to state the above:

Radiant Energy collected by a solar panel of effective area, A, is (Radiant Exposure, H(e), in Joules / square meter) x Area (square meters)
Exposure is "EM field Amplitude (magnitude)" integrated over time,
What is the relationship of "Electromagnetic field Amplitude (magnitude)" with Irradiance/Flux density?

Radiant Exposure isIrradiance/Flux density , ( E(e), Watts per square meter) integrated over time.
which is also "Total light energy".
Nope, it is Radiant Exposure, H(e), measured in joules/square meter. To get the total energy collected by a solar collector you would have to multiply by the effective area of the solar panel. **

Same mistake that you make with photometry.
Are you saying collecting over a longer period is not more light enegy?
He already factored in the time by specifying Joules rather than Watts.
So collecting energy for longer period is more energy and collecting more power for longer period is more energy; would you kindly make up your mind?

Just I'm kidding...

But seriously, Collecting more Joules over more area is "total energy" and collecting more power from more powerful source over time and/or longer time is also "total energy", yes?

Is this not semantics?
Semantics is the meaning of things. so yes it's semantics.
You answered the 2nd part but not the first part? Before "...kidding" was not a question but rhetorical...
The basic semantics which makes Physics what it is. It seems that your brain reravels it even as it unravels. Frankly, you're tilting at windmills with this.
If you mean the first part is not worthy to be bothered? I respect that. BTW, I like "brain reraveling as it is unraveling. FWIW, I do enjoy a good put down even if it is on me ;-)

I do think that it's semantically acceptable to say:

Exposure is total light energy; A measure of exposure is light energy density.

And that's how I see it at Lake Woebegone where everyone is above average ;-)
--
Bob.
DARK IN HERE, ISN'T IT?
 
Last edited:
If you care, allow me to start from this and we can first agree or disagree. Otherwise, rest of the conversation is not useful. I'll get back to the full length when I can digest it better.

I content that: (2x lux)-second-m^2 is != lux-second-(2x m^2).
Left hand side: You are doubling the Exposure, then multiplying by the area of the sensor to get the total light on the sensor.

Right hand side: You are holding the Exposure constant and multiplying by twice the area of the sensor you again get the total light on the sensor.

The total light on the sensor is the same in both cases.

So you can get the same total light on a sensor by either doubling the Exposure OR by doubling the area.

This is quite intuitively reasonable in the case of maximizing SNR in the shadows. I don't find it so intuitive when considering DoF.

If you are merely checking on the Associative Law of Multiplication , then you are again correct, although I would not write it that way.
It was for illustrative purposes.
What computer programming language did you use in EE school?
FORTRAN, if you must know.
I was wondering because you had mixed elements of FORTRAN Operator Precedence and algebraic notation above.
Different brightness, for example.
Brightness??? of what? You calculated total light above (in lumen -seconds.)

Brightness usually relates to Exposure (photography) (in lux-seconds.)

Getting mixed up between light density and total light again?
No, total light of area is a meaningless value for the image sensor output simply because unlike a solar panel, image sensor pixels are not interchangeable after the exposure.
What does a solar panel have to do with this?
The useful information off the image sensor is the difference among the pixels. And of course you know that the exposure difference on each pixels is what forms the image, not the total light.
You have forgotten that the overall image quality is also dependent on the total light on the sensor. Yes, the differences are important, but so is the average of the various amounts of light collected by each pixel.
BTW, "total light energy" is valid for "light energy" integrated over time or area or both time and area and even integrated over a volume.
In digital photography, most competent authors refer to E(v) integrated over time as Exposure (photographic), H(v). They refer to H(v) integrated over sensor area as "total light energy". Other definitions do exist but they are usually bogus, leading to false conclusions.
As you say left side is "exposure" and right side is "solar panel output" as I say.
What units do you use to measure "exposure" and what units do you use to measure "solar panel output"?

A photographer who has solar panels, as I do, measures Exposure (photograpic) in his camera in lux-seconds and measures solar exposure of his panels in Joules/square meter. In the latter case that makes it easy to relate to solar insolation charts and to the energy output of a panel of Area, A, at an angle, ø , to the incident sunlight.

In any event, do photographers really care about this? It is yet another red herring ?

Why do you insist on comparing and conflating photometry and radiometry? Apples and oranges. Both fruit but different descriptors apply. Something like folks who compare and conflate film photography with digital photography. Both fruit but different descriptors apply. ASA/ISO/Film Speed is a good example.

Have you made any progress with the questions I asked earlier relating to linear, surface and volume densities?
 
After this one; I promise :-D

"Total light energy" of a solar panel is exposure * area.
As an engineer you would use the following radiometric terms to state the above:

Radiant Energy collected by a solar panel of effective area, A, is (Radiant Exposure, H(e), in Joules / square meter) x Area (square meters)
Exposure is "EM field Amplitude (magnitude)" integrated over time,
What is the relationship of "Electromagnetic field Amplitude (magnitude)" with Irradiance/Flux density?

Radiant Exposure isIrradiance/Flux density , ( E(e), Watts per square meter) integrated over time.
which is also "Total light energy".
Nope, it is Radiant Exposure, H(e), measured in joules/square meter. To get the total energy collected by a solar collector you would have to multiply by the effective area of the solar panel. **

Same mistake that you make with photometry.
Are you saying collecting over a longer period is not more light enegy?
He already factored in the time by specifying Joules rather than Watts.
So collecting energy for longer period is more energy and collecting more power for longer period is more energy; would you kindly make up your mind?

Just I'm kidding...

But seriously, Collecting more Joules over more area is "total energy" and collecting more power from more powerful source over time and/or longer time is also "total energy", yes?

Is this not semantics?
Semantics is the meaning of things. so yes it's semantics.
You answered the 2nd part but not the first part?
You've had the first part answered by so many people so many times. Not necessary.
Before "...kidding" was not a question but rhetorical...
I assumed that you were playing games.
The basic semantics which makes Physics what it is. It seems that your brain reravels it even as it unravels. Frankly, you're tilting at windmills with this.
If you mean the first part is not worthy to be bothered? I respect that. BTW, I like "brain reraveling as it is unraveling. FWIW, I do enjoy a good put down even if it is on me ;-)
Sometimes it seems necessary.
I do think that it's semantically acceptable to say:

Exposure is total light energy;
Exposure isn't total light energy. So it's not 'semantically acceptable' - it's just wrong.
A measure of exposure is light energy density.
It's not 'a measure of exposure', it is exposure. All you're doing is playing semantic games because you want your own definition of 'exposure', one that lets you deny that it is the total light energy incorporated in an image that fundamentally determines its noise properties.
 
After this one; I promise :-D

"Total light energy" of a solar panel is exposure * area.
As an engineer you would use the following radiometric terms to state the above:

Radiant Energy collected by a solar panel of effective area, A, is (Radiant Exposure, H(e), in Joules / square meter) x Area (square meters)
Exposure is "EM field Amplitude (magnitude)" integrated over time,
What is the relationship of "Electromagnetic field Amplitude (magnitude)" with Irradiance/Flux density?

Radiant Exposure isIrradiance/Flux density , ( E(e), Watts per square meter) integrated over time.
which is also "Total light energy".
Nope, it is Radiant Exposure, H(e), measured in joules/square meter. To get the total energy collected by a solar collector you would have to multiply by the effective area of the solar panel. **

Same mistake that you make with photometry.
Are you saying collecting over a longer period is not more light enegy?
He already factored in the time by specifying Joules rather than Watts.
So collecting energy for longer period is more energy and collecting more power for longer period is more energy; would you kindly make up your mind?

Just I'm kidding...

But seriously, Collecting more Joules over more area is "total energy" and collecting more power from more powerful source over time and/or longer time is also "total energy", yes?

Is this not semantics?
Semantics is the meaning of things. so yes it's semantics.
You answered the 2nd part but not the first part? Before "...kidding" was not a question but rhetorical...
The basic semantics which makes Physics what it is. It seems that your brain reravels it even as it unravels. Frankly, you're tilting at windmills with this.
If you mean the first part is not worthy to be bothered? I respect that. BTW, I like "brain reraveling as it is unraveling. FWIW, I do enjoy a good put down even if it is on me ;-)

I do think that it's semantically acceptable to say:

Exposure is total light energy; A measure of exposure is light energy density.

And that's how I see it at Lake Woebegone where everyone is above average ;-)
 
After this one; I promise :-D

"Total light energy" of a solar panel is exposure * area.
As an engineer you would use the following radiometric terms to state the above:

Radiant Energy collected by a solar panel of effective area, A, is (Radiant Exposure, H(e), in Joules / square meter) x Area (square meters)
Exposure is "EM field Amplitude (magnitude)" integrated over time,
What is the relationship of "Electromagnetic field Amplitude (magnitude)" with Irradiance/Flux density?

Radiant Exposure isIrradiance/Flux density , ( E(e), Watts per square meter) integrated over time.
which is also "Total light energy".
Nope, it is Radiant Exposure, H(e), measured in joules/square meter. To get the total energy collected by a solar collector you would have to multiply by the effective area of the solar panel. **

Same mistake that you make with photometry.
Are you saying collecting over a longer period is not more light enegy?
He already factored in the time by specifying Joules rather than Watts.
So collecting energy for longer period is more energy and collecting more power for longer period is more energy; would you kindly make up your mind?

Just I'm kidding...

But seriously, Collecting more Joules over more area is "total energy" and collecting more power from more powerful source over time and/or longer time is also "total energy", yes?

Is this not semantics?
Semantics is the meaning of things. so yes it's semantics.
You answered the 2nd part but not the first part? Before "...kidding" was not a question but rhetorical...
The basic semantics which makes Physics what it is. It seems that your brain reravels it even as it unravels. Frankly, you're tilting at windmills with this.
If you mean the first part is not worthy to be bothered? I respect that. BTW, I like "brain reraveling as it is unraveling. FWIW, I do enjoy a good put down even if it is on me ;-)

I do think that it's semantically acceptable to say:

Exposure is total light energy; A measure of exposure is light energy density.

And that's how I see it at Lake Woebegone where everyone is above average ;-)
 
After this one; I promise :-D

"Total light energy" of a solar panel is exposure * area.
As an engineer you would use the following radiometric terms to state the above:

Radiant Energy collected by a solar panel of effective area, A, is (Radiant Exposure, H(e), in Joules / square meter) x Area (square meters)
Exposure is "EM field Amplitude (magnitude)" integrated over time,
What is the relationship of "Electromagnetic field Amplitude (magnitude)" with Irradiance/Flux density?

Radiant Exposure isIrradiance/Flux density , ( E(e), Watts per square meter) integrated over time.
which is also "Total light energy".
Nope, it is Radiant Exposure, H(e), measured in joules/square meter. To get the total energy collected by a solar collector you would have to multiply by the effective area of the solar panel. **

Same mistake that you make with photometry.
Are you saying collecting over a longer period is not more light enegy?
He already factored in the time by specifying Joules rather than Watts.
So collecting energy for longer period is more energy and collecting more power for longer period is more energy; would you kindly make up your mind?

Just I'm kidding...

But seriously, Collecting more Joules over more area is "total energy" and collecting more power from more powerful source over time and/or longer time is also "total energy", yes?

Is this not semantics?
Semantics is the meaning of things. so yes it's semantics.
You answered the 2nd part but not the first part?
You've had the first part answered by so many people so many times. Not necessary.
Before "...kidding" was not a question but rhetorical...
I assumed that you were playing games.
The basic semantics which makes Physics what it is. It seems that your brain reravels it even as it unravels. Frankly, you're tilting at windmills with this.
If you mean the first part is not worthy to be bothered? I respect that. BTW, I like "brain reraveling as it is unraveling. FWIW, I do enjoy a good put down even if it is on me ;-)
Sometimes it seems necessary.
I do think that it's semantically acceptable to say:

Exposure is total light energy;
Exposure isn't total light energy. So it's not 'semantically acceptable' - it's just wrong.
A measure of exposure is light energy density.
It's not 'a measure of exposure', it is exposure. All you're doing is playing semantic games because you want your own definition of 'exposure', one that lets you deny that it is the total light energy incorporated in an image that fundamentally determines its noise properties.

--
Bob.
DARK IN HERE, ISN'T IT?
FWIW, I wanted to remind you that it was MoP definition, and not mine.
 
nt = no thanks
Yes, it is too bad that mbp doesn't realize that his constant incoherent posting has destroyed many useful conversations. He seems to get it, but then, alas, reverts to his old mantra that exposue = total light on the sensor.

Maybe bobn2 has it right here :
If you mean the first part is not worthy to be bothered? I respect that. BTW, I like "brain reraveling as it is unraveling. FWIW, I do enjoy a good put down even if it is on me
Sometimes it seems necessary.
I do think that it's semantically acceptable to say:

Exposure is total light energy;
Exposure isn't total light energy. So it's not 'semantically acceptable' - it's just wrong.
A measure of exposure is light energy density.
It's not 'a measure of exposure', it is exposure. All you're doing is playing semantic games because you want your own definition of 'exposure', one that lets you deny that it is the total light energy incorporated in an image that fundamentally determines its noise properties.

Bolding is mine.

Let me complete your rainfall analogy by comparing vertically falling raindrops with bits of light, (light-darts as Silberstein would say).

Light: Exposure (photographic) , H(v)= E(v) x t where E(v) is Illuminance, luminous power incident on a surface, measured in lux (lumen/square meter) and t is the time interval that the sensor is exposed.

Rainfall: Exposure (rainfall) H(r) = E(r) x t where E(r) is Rainfall power, the number of raindrops per horizontal square meter falling per second and t is the number of seconds that it rains. The resulting Exposure (rainfall) represents the number of raindrops collected per square meter

The Exposure (rainfall) is independent of the size of the field being watered by the rainfall and may be measured by collecting the number of raindrops in a one meter square basin.

Suppose there are two potato fields exposed to an identically same rainfall for the same time interval.

Gardener "Full Frame" Fred has a potato field measuring 24m by 36m or 864 square meters. The total number of raindrops falling on his garden is the Exposure (rainfall) x 864 square meters.

Gardener "micro 4/3" Mike has a much smaller potato field, measuring about 208 square meters. The total number of raindrops falling on his field is the same Exposure (rainfall) x 208 square meters.

Although E(r), the Exposure(rainfall), is the same for both fields, Fred's potato yield is four time that of Mike's. (Assuming that the yield efficiency (potatoes per raindrop) is the same for each field.)

I leave it to others to determine the # of raindrops to give an Exposure(r) of 100 mm per square meter. To do that the size of raindrops must be known, so assume spherical drops of diameter D. For that level of rainfall what would the Exposure(r) be?

Auxiliary question for students of physics: Do big raindrops fall
  • (a) faster
  • (b) slower
  • (c) the same speed
as little raindrops?

Answer given later.

(mbp, since you are an EE you must've studied some physics, laws of motion, in your youth, so you are permitted to answer the above question.)
 
nt = no thanks
Yes, it is too bad that mbp doesn't realize that his constant incoherent posting has destroyed many useful conversations. He seems to get it, but then, alas, reverts to his old mantra that exposue = total light on the sensor.

Maybe bobn2 has it right here :
If you mean the first part is not worthy to be bothered? I respect that. BTW, I like "brain reraveling as it is unraveling. FWIW, I do enjoy a good put down even if it is on me
Sometimes it seems necessary.
I do think that it's semantically acceptable to say:

Exposure is total light energy;
Exposure isn't total light energy. So it's not 'semantically acceptable' - it's just wrong.
A measure of exposure is light energy density.
It's not 'a measure of exposure', it is exposure. All you're doing is playing semantic games because you want your own definition of 'exposure', one that lets you deny that it is the total light energy incorporated in an image that fundamentally determines its noise properties.

Bolding
is mine.

Let me completeyour rainfall analogy by comparing vertically falling raindrops with bits of light, (light-darts as Silberstein would say).

Light: Exposure (photographic) , H(v)= E(v) x t where E(v) is Illuminance, luminous power incident on a surface, measured in lux (lumen/square meter) and t is the time interval that the sensor is exposed.

Rainfall: Exposure (rainfall) H(r) = E(r) x t where E(r) is Rainfall power, the number of raindrops per horizontal square meter falling per second and t is the number of seconds that it rains. The resulting Exposure (rainfall) represents the number of raindrops collected per square meter

The Exposure (rainfall) is independent of the size of the field being watered by the rainfall and may be measured by collecting the number of raindrops in a one meter square basin.

Suppose there are two potato fields exposed to an identically same rainfall for the same time interval.

Gardener "Full Frame" Fred has a potato field measuring 24m by 36m or 864 square meters. The total number of raindrops falling on his garden is the Exposure (rainfall) x 864 square meters.

Gardener "micro 4/3" Mike has a much smaller potato field, measuring about 208 square meters. The total number of raindrops falling on his field is the same Exposure (rainfall) x 208 square meters.

Although E(r), the Exposure(rainfall), is the same for both fields, Fred's potato yield is four time that of Mike's. (Assuming that the yield efficiency (potatoes per raindrop) is the same for each field.)

I leave it to others to determine the # of raindrops to give an Exposure(r) of 100 mm per square meter. To do that the size of raindrops must be known, so assume spherical drops of diameter D. For that level of rainfall what would the Exposure(r) be?

Auxiliary question for students of physics: Do big raindrops fall
  • (a) faster
  • (b) slower
  • (c) the same speed
as little raindrops?

Answer given later.

(mbp, since you are an EE you must've studied some physics, laws of motion, in your youth, so you are permitted to answer the above question.)

--
Tom
The best part of growing old is having the opportunity to do so.
https://brtthome.wordpress.com/
Sorry I missed this one as it seemed it was a reply to robert1955 but seems to have meant for me; so I ask also:

Auxiliary question for students of physics: Do big raindrops fall
  • (a) make your eyes more red
  • (b) make you cry louder
  • (c) at the same speed
 
nt = no thanks
Yes, it is too bad that mbp doesn't realize that his constant incoherent posting has destroyed many useful conversations. He seems to get it, but then, alas, reverts to his old mantra that exposue = total light on the sensor.

Maybe bobn2 has it right here :
If you mean the first part is not worthy to be bothered? I respect that. BTW, I like "brain reraveling as it is unraveling. FWIW, I do enjoy a good put down even if it is on me
Sometimes it seems necessary.
I do think that it's semantically acceptable to say:

Exposure is total light energy;
Exposure isn't total light energy. So it's not 'semantically acceptable' - it's just wrong.
A measure of exposure is light energy density.
It's not 'a measure of exposure', it is exposure. All you're doing is playing semantic games because you want your own definition of 'exposure', one that lets you deny that it is the total light energy incorporated in an image that fundamentally determines its noise properties.

Bolding is mine.

Let me completeyour rainfall analogy by comparing vertically falling raindrops with bits of light, (light-darts as Silberstein would say).

Light: Exposure (photographic) , H(v)= E(v) x t where E(v) is Illuminance, luminous power incident on a surface, measured in lux (lumen/square meter) and t is the time interval that the sensor is exposed.

Rainfall: Exposure (rainfall) H(r) = E(r) x t where E(r) is Rainfall power, the number of raindrops per horizontal square meter falling per second and t is the number of seconds that it rains. The resulting Exposure (rainfall) represents the number of raindrops collected per square meter

The Exposure (rainfall) is independent of the size of the field being watered by the rainfall and may be measured by collecting the number of raindrops in a one meter square basin.

Suppose there are two potato fields exposed to an identically same rainfall for the same time interval.

Gardener "Full Frame" Fred has a potato field measuring 24m by 36m or 864 square meters. The total number of raindrops falling on his garden is the Exposure (rainfall) x 864 square meters.

Gardener "micro 4/3" Mike has a much smaller potato field, measuring about 208 square meters. The total number of raindrops falling on his field is the same Exposure (rainfall) x 208 square meters.

Although E(r), the Exposure(rainfall), is the same for both fields, Fred's potato yield is four time that of Mike's. (Assuming that the yield efficiency (potatoes per raindrop) is the same for each field.)

I leave it to others to determine the # of raindrops to give an Exposure(r) of 100 mm per square meter. To do that the size of raindrops must be known, so assume spherical drops of diameter D. For that level of rainfall what would the Exposure(r) be?

Auxiliary question for students of physics: Do big raindrops fall
  • (a) faster
  • (b) slower
  • (c) the same speed
as little raindrops?

Answer given later.

(mbp, since you are an EE you must've studied some physics, laws of motion, in your youth, so you are permitted to answer the above question.)
 

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