• Nits to lumens

    From simon.prince@gmail.com@21:1/5 to All on Mon Mar 14 14:50:09 2022
    Hi, well it's been a long time since I contributed to sci.optics - about 20 years I guess. It's great to see that it's still active.

    A quick question on photometric units - I'm trying to compare the light output from Oleds with that from LEDs. I'd like to compare total flux emitted by the two sources. Here's my calculation:

    An LED die has 30 candela output
    A 1 candela lambertian emits pi lumens into a hemisphere.
    Therefore the LED emits 30pi lumens

    An OLED emits about 400 nits which is 400 candela/m^2
    The OLED is 18mm x 7mm , so the OLED emits 400 * 0.018 * 0.007 candela = 0.05 candela
    As above, assuming the OLED is a lambertian emitter
    OLED emits 0.05*pi lumens.

    So my conclusion here would be that my LED has a flux 600 times that of the OLED.

    My question is about the nit to candela calculation - I've not found any references to this. It seems sensible, but photometrics are a very strange beast!

    Thanks,

    Simon

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Phil Hobbs@21:1/5 to simon.prince@gmail.com on Mon Mar 14 20:12:25 2022
    simon.prince@gmail.com wrote:
    Hi, well it's been a long time since I contributed to sci.optics -
    about 20 years I guess. It's great to see that it's still active.

    Well, there are some diehards in the world. You should join up--there
    are still a few openings. ;)

    A quick question on photometric units - I'm trying to compare the
    light output from Oleds with that from LEDs. I'd like to compare
    total flux emitted by the two sources. Here's my calculation:

    An LED die has 30 candela output A 1 candela lambertian emits pi
    lumens into a hemisphere. Therefore the LED emits 30pi lumens.

    Assuming that it's really Lambertian. Some are reasonably close, mostly
    the ones with textured surfaces. LEDs with flat facets aren't
    Lambertian because of Snell's law and the Fresnel reflection at the
    surface, both of which change the angular distribution of the emission.

    An OLED emits about 400 nits which is 400 candela/m^2 The OLED is
    18mm x 7mm , so the OLED emits 400 * 0.018 * 0.007 candela = 0.05
    candela As above, assuming the OLED is a lambertian emitter OLED
    emits 0.05*pi lumens.

    So my conclusion here would be that my LED has a flux 600 times that
    of the OLED.

    It depends on the surface roughness. The two main problems with LEDs
    are: (1) while the emission is almost 100% efficient, it occurs deep
    within a highly-absorbing substrate; and (2) the substrate has a
    refractive index of 3.3 to 3.5, so that almost all the light gets
    internally reflected at the surface. The great strides in LED
    efficiency that we've seen in the last few decades mostly come from
    fixing those two problems.

    A good chunk of the confusion IMO comes from the nomenclature. I mean,
    how scientific-sounding are quantities such as "luminous intensity" and "spectral radiance"? They sound like something out of Edgar Allan Poe,
    or maybe a romance novel. (Give me "flux density" and so forth any day.)

    Much of the remainder comes from People Who Know Best deciding to
    redefine perfectly well-defined pre-existing terms to mean something
    completely different. For instance, "intensity" means watts per square
    metre to normal people, but watts per steradian to a radiometrist.

    My question is about the nit to candela calculation - I've not found
    any references to this. It seems sensible, but photometrics are a
    very strange beast!

    Yup. There's a lot of job security stuff in radiometry, and even more
    in photometry. Making the candela a SI base unit is weird as hell, for
    a start. The lumen is derivable from the joule, the metre, and the
    second, times exactly 683 lumens/W peak and the Anointed International Photometric Eyeball curve. (As I tend to point out to any vaguely
    interested person, 683 appears to be the largest prime number ever used
    for unit conversion.)

    However, they standardized the _candela_, which imports the idea of
    solid angle. Which solid angle--projected or spherical? There's a
    factor of cos(theta) difference between the two, and the choice depends
    on whether you're illuminating a surface or a volume.

    How do you make a traceable measurement of solid angle, when the
    transmittance of an optical system depends on both angle and position?
    Confused yet? (Me too.) And then there's the nearly impenetrable
    thicket of redundant units.

    But yeah, OLEDs are pretty dim in general.

    Cheers

    Phil Hobbs

    --
    Dr Philip C D Hobbs
    Principal Consultant
    ElectroOptical Innovations LLC / Hobbs ElectroOptics
    Optics, Electro-optics, Photonics, Analog Electronics
    Briarcliff Manor NY 10510

    http://electrooptical.net
    http://hobbs-eo.com

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From simon.prince@gmail.com@21:1/5 to Phil Hobbs on Thu Jun 2 09:33:06 2022
    Thanks for this Phil. I did come across a wikipedia article which discusses my exact question. The specific question was: 'for a lambertian emitter of Lv nits, the flux in lumens is F=pi*Lv*A'. The link for the wikipedia is:
    https://en.wikipedia.org/wiki/Lambert%27s_cosine_law

    Also, I was pondering about placing a lambertian source in front of a window and calculating the integral of the fresnel coefficients across angle. There's a very clear paper on this by Mathieu Hébert (who also references a 1942 paper by Judd):
    http://paristech.institutoptique.fr/site.php?id=797&fileid=11468.

    The conclusion of the calculation is that for an uncoated n-bk7 window, a lambertian emitter has 9.4% reflected across all angles at the entrance to the window. About 4.1% is reflected from the second surface in the window. So, 86.8% of lambertian
    light incident on a window passes through it. (My zemax simulation gives 84.7% transmission. The difference is that the closed form solution assumes that there is a lambertian profile within the glass medium. However, this isn't exactly true - high
    angle rays in the input lambertian are attenuated more by the Fresnel loss than axial ones).

    My children will be very proud that I've now understood how a window works....

    Simon

    On Monday, March 14, 2022 at 5:12:35 PM UTC-7, Phil Hobbs wrote:
    simon....@gmail.com wrote:
    Hi, well it's been a long time since I contributed to sci.optics -
    about 20 years I guess. It's great to see that it's still active.
    Well, there are some diehards in the world. You should join up--there
    are still a few openings. ;)
    A quick question on photometric units - I'm trying to compare the
    light output from Oleds with that from LEDs. I'd like to compare
    total flux emitted by the two sources. Here's my calculation:

    An LED die has 30 candela output A 1 candela lambertian emits pi
    lumens into a hemisphere. Therefore the LED emits 30pi lumens.

    Assuming that it's really Lambertian. Some are reasonably close, mostly
    the ones with textured surfaces. LEDs with flat facets aren't
    Lambertian because of Snell's law and the Fresnel reflection at the
    surface, both of which change the angular distribution of the emission.
    An OLED emits about 400 nits which is 400 candela/m^2 The OLED is
    18mm x 7mm , so the OLED emits 400 * 0.018 * 0.007 candela = 0.05
    candela As above, assuming the OLED is a lambertian emitter OLED
    emits 0.05*pi lumens.

    So my conclusion here would be that my LED has a flux 600 times that
    of the OLED.
    It depends on the surface roughness. The two main problems with LEDs
    are: (1) while the emission is almost 100% efficient, it occurs deep
    within a highly-absorbing substrate; and (2) the substrate has a
    refractive index of 3.3 to 3.5, so that almost all the light gets
    internally reflected at the surface. The great strides in LED
    efficiency that we've seen in the last few decades mostly come from
    fixing those two problems.

    A good chunk of the confusion IMO comes from the nomenclature. I mean,
    how scientific-sounding are quantities such as "luminous intensity" and "spectral radiance"? They sound like something out of Edgar Allan Poe,
    or maybe a romance novel. (Give me "flux density" and so forth any day.)

    Much of the remainder comes from People Who Know Best deciding to
    redefine perfectly well-defined pre-existing terms to mean something completely different. For instance, "intensity" means watts per square
    metre to normal people, but watts per steradian to a radiometrist.
    My question is about the nit to candela calculation - I've not found
    any references to this. It seems sensible, but photometrics are a
    very strange beast!
    Yup. There's a lot of job security stuff in radiometry, and even more
    in photometry. Making the candela a SI base unit is weird as hell, for
    a start. The lumen is derivable from the joule, the metre, and the
    second, times exactly 683 lumens/W peak and the Anointed International Photometric Eyeball curve. (As I tend to point out to any vaguely
    interested person, 683 appears to be the largest prime number ever used
    for unit conversion.)

    However, they standardized the _candela_, which imports the idea of
    solid angle. Which solid angle--projected or spherical? There's a
    factor of cos(theta) difference between the two, and the choice depends
    on whether you're illuminating a surface or a volume.

    How do you make a traceable measurement of solid angle, when the transmittance of an optical system depends on both angle and position? Confused yet? (Me too.) And then there's the nearly impenetrable
    thicket of redundant units.

    But yeah, OLEDs are pretty dim in general.

    Cheers

    Phil Hobbs

    --
    Dr Philip C D Hobbs
    Principal Consultant
    ElectroOptical Innovations LLC / Hobbs ElectroOptics
    Optics, Electro-optics, Photonics, Analog Electronics
    Briarcliff Manor NY 10510

    http://electrooptical.net
    http://hobbs-eo.com

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Phil Hobbs@21:1/5 to simon.prince@gmail.com on Thu Jun 2 19:44:20 2022
    simon.prince@gmail.com wrote:
    Thanks for this Phil. I did come across a wikipedia article which
    discusses my exact question. The specific question was: 'for a
    lambertian emitter of Lv nits, the flux in lumens is F=pi*Lv*A'.
    The link for the wikipedia is: https://en.wikipedia.org/wiki/Lambert%27s_cosine_law

    Well, yes, but a good rant is far more satisfying for everyone. ;)


    Also, I was pondering about placing a lambertian source in front of
    a window and calculating the integral of the fresnel coefficients
    across angle. There's a very clear paper on this by Mathieu Hébert
    (who also references a 1942 paper by Judd): http://paristech.institutoptique.fr/site.php?id=797&fileid=11468.

    The conclusion of the calculation is that for an uncoated n-bk7
    window, a lambertian emitter has 9.4% reflected across all angles at
    the entrance to the window. About 4.1% is reflected from the second
    surface in the window. So, 86.8% of lambertian light incident on a
    window passes through it. (My zemax simulation gives 84.7%
    transmission. The difference is that the closed form solution
    assumes that there is a lambertian profile within the glass medium.
    However, this isn't exactly true - high angle rays in the input
    lambertian are attenuated more by the Fresnel loss than axial ones).

    Plus they hit the edges sooner.


    My children will be very proud that I've now understood how a window works....

    Simon


    Now if you'll just explain to me exactly what a lens does, we'll all be
    further ahead. ;)

    Cheers

    Phil Hobbs

    On Monday, March 14, 2022 at 5:12:35 PM UTC-7, Phil Hobbs wrote:
    simon....@gmail.com wrote:
    Hi, well it's been a long time since I contributed to sci.optics
    - about 20 years I guess. It's great to see that it's still
    active.
    Well, there are some diehards in the world. You should join
    up--there are still a few openings. ;)
    A quick question on photometric units - I'm trying to compare the
    light output from Oleds with that from LEDs. I'd like to compare
    total flux emitted by the two sources. Here's my calculation:

    An LED die has 30 candela output A 1 candela lambertian emits pi
    lumens into a hemisphere. Therefore the LED emits 30pi lumens.

    Assuming that it's really Lambertian. Some are reasonably close,
    mostly the ones with textured surfaces. LEDs with flat facets
    aren't Lambertian because of Snell's law and the Fresnel
    reflection at the surface, both of which change the angular
    distribution of the emission.
    An OLED emits about 400 nits which is 400 candela/m^2 The OLED is
    18mm x 7mm , so the OLED emits 400 * 0.018 * 0.007 candela = 0.05
    candela As above, assuming the OLED is a lambertian emitter OLED
    emits 0.05*pi lumens.

    So my conclusion here would be that my LED has a flux 600 times
    that of the OLED.
    It depends on the surface roughness. The two main problems with
    LEDs are: (1) while the emission is almost 100% efficient, it
    occurs deep within a highly-absorbing substrate; and (2) the
    substrate has a refractive index of 3.3 to 3.5, so that almost all
    the light gets internally reflected at the surface. The great
    strides in LED efficiency that we've seen in the last few decades
    mostly come from fixing those two problems.

    A good chunk of the confusion IMO comes from the nomenclature. I
    mean, how scientific-sounding are quantities such as "luminous
    intensity" and "spectral radiance"? They sound like something out
    of Edgar Allan Poe, or maybe a romance novel. (Give me "flux
    density" and so forth any day.)

    Much of the remainder comes from People Who Know Best deciding to
    redefine perfectly well-defined pre-existing terms to mean
    something completely different. For instance, "intensity" means
    watts per square metre to normal people, but watts per steradian
    to a radiometrist.
    My question is about the nit to candela calculation - I've not
    found any references to this. It seems sensible, but
    photometrics are a very strange beast!
    Yup. There's a lot of job security stuff in radiometry, and even
    more in photometry. Making the candela a SI base unit is weird as
    hell, for a start. The lumen is derivable from the joule, the
    metre, and the second, times exactly 683 lumens/W peak and the
    Anointed International Photometric Eyeball curve. (As I tend to
    point out to any vaguely interested person, 683 appears to be the
    largest prime number ever used for unit conversion.)

    However, they standardized the _candela_, which imports the idea of
    solid angle. Which solid angle--projected or spherical? There's a
    factor of cos(theta) difference between the two, and the choice
    depends on whether you're illuminating a surface or a volume.

    How do you make a traceable measurement of solid angle, when the
    transmittance of an optical system depends on both angle and
    position? Confused yet? (Me too.) And then there's the nearly
    impenetrable thicket of redundant units.

    But yeah, OLEDs are pretty dim in general.

    Cheers

    Phil Hobbs

    -- Dr Philip C D Hobbs Principal Consultant ElectroOptical
    Innovations LLC / Hobbs ElectroOptics Optics, Electro-optics,
    Photonics, Analog Electronics Briarcliff Manor NY 10510

    http://electrooptical.net http://hobbs-eo.com


    --
    Dr Philip C D Hobbs
    Principal Consultant
    ElectroOptical Innovations LLC / Hobbs ElectroOptics
    Optics, Electro-optics, Photonics, Analog Electronics
    Briarcliff Manor NY 10510

    http://electrooptical.net
    http://hobbs-eo.com

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From simon.prince@gmail.com@21:1/5 to Phil Hobbs on Thu Jun 2 20:06:26 2022
    Too funny. On several occasions during my career I've concluded that I don't understand how lenses work due to the aberration, mirrors are a complete nightmare since I can't explain left-right inversion to an elementary school kid without using the word
    'magic' but planar optics was ok. Until I worked with prisms and discovered how hard those are. I've always concluded that my mastery of windows is unsurpassed, but clearly I'm still on a journey to understand the basics of a window.

    s

    On Thursday, June 2, 2022 at 4:44:28 PM UTC-7, Phil Hobbs wrote:
    simon....@gmail.com wrote:
    Thanks for this Phil. I did come across a wikipedia article which discusses my exact question. The specific question was: 'for a
    lambertian emitter of Lv nits, the flux in lumens is F=pi*Lv*A'.
    The link for the wikipedia is: https://en.wikipedia.org/wiki/Lambert%27s_cosine_law
    Well, yes, but a good rant is far more satisfying for everyone. ;)

    Also, I was pondering about placing a lambertian source in front of
    a window and calculating the integral of the fresnel coefficients
    across angle. There's a very clear paper on this by Mathieu Hébert
    (who also references a 1942 paper by Judd): http://paristech.institutoptique.fr/site.php?id=797&fileid=11468.

    The conclusion of the calculation is that for an uncoated n-bk7
    window, a lambertian emitter has 9.4% reflected across all angles at
    the entrance to the window. About 4.1% is reflected from the second surface in the window. So, 86.8% of lambertian light incident on a
    window passes through it. (My zemax simulation gives 84.7%
    transmission. The difference is that the closed form solution
    assumes that there is a lambertian profile within the glass medium. However, this isn't exactly true - high angle rays in the input
    lambertian are attenuated more by the Fresnel loss than axial ones).
    Plus they hit the edges sooner.

    My children will be very proud that I've now understood how a window works....

    Simon

    Now if you'll just explain to me exactly what a lens does, we'll all be further ahead. ;)

    Cheers

    Phil Hobbs
    On Monday, March 14, 2022 at 5:12:35 PM UTC-7, Phil Hobbs wrote:
    simon....@gmail.com wrote:
    Hi, well it's been a long time since I contributed to sci.optics
    - about 20 years I guess. It's great to see that it's still
    active.
    Well, there are some diehards in the world. You should join
    up--there are still a few openings. ;)
    A quick question on photometric units - I'm trying to compare the
    light output from Oleds with that from LEDs. I'd like to compare
    total flux emitted by the two sources. Here's my calculation:

    An LED die has 30 candela output A 1 candela lambertian emits pi
    lumens into a hemisphere. Therefore the LED emits 30pi lumens.

    Assuming that it's really Lambertian. Some are reasonably close,
    mostly the ones with textured surfaces. LEDs with flat facets
    aren't Lambertian because of Snell's law and the Fresnel
    reflection at the surface, both of which change the angular
    distribution of the emission.
    An OLED emits about 400 nits which is 400 candela/m^2 The OLED is
    18mm x 7mm , so the OLED emits 400 * 0.018 * 0.007 candela = 0.05
    candela As above, assuming the OLED is a lambertian emitter OLED
    emits 0.05*pi lumens.

    So my conclusion here would be that my LED has a flux 600 times
    that of the OLED.
    It depends on the surface roughness. The two main problems with
    LEDs are: (1) while the emission is almost 100% efficient, it
    occurs deep within a highly-absorbing substrate; and (2) the
    substrate has a refractive index of 3.3 to 3.5, so that almost all
    the light gets internally reflected at the surface. The great
    strides in LED efficiency that we've seen in the last few decades
    mostly come from fixing those two problems.

    A good chunk of the confusion IMO comes from the nomenclature. I
    mean, how scientific-sounding are quantities such as "luminous
    intensity" and "spectral radiance"? They sound like something out
    of Edgar Allan Poe, or maybe a romance novel. (Give me "flux
    density" and so forth any day.)

    Much of the remainder comes from People Who Know Best deciding to
    redefine perfectly well-defined pre-existing terms to mean
    something completely different. For instance, "intensity" means
    watts per square metre to normal people, but watts per steradian
    to a radiometrist.
    My question is about the nit to candela calculation - I've not
    found any references to this. It seems sensible, but
    photometrics are a very strange beast!
    Yup. There's a lot of job security stuff in radiometry, and even
    more in photometry. Making the candela a SI base unit is weird as
    hell, for a start. The lumen is derivable from the joule, the
    metre, and the second, times exactly 683 lumens/W peak and the
    Anointed International Photometric Eyeball curve. (As I tend to
    point out to any vaguely interested person, 683 appears to be the
    largest prime number ever used for unit conversion.)

    However, they standardized the _candela_, which imports the idea of
    solid angle. Which solid angle--projected or spherical? There's a
    factor of cos(theta) difference between the two, and the choice
    depends on whether you're illuminating a surface or a volume.

    How do you make a traceable measurement of solid angle, when the
    transmittance of an optical system depends on both angle and
    position? Confused yet? (Me too.) And then there's the nearly
    impenetrable thicket of redundant units.

    But yeah, OLEDs are pretty dim in general.

    Cheers

    Phil Hobbs

    -- Dr Philip C D Hobbs Principal Consultant ElectroOptical
    Innovations LLC / Hobbs ElectroOptics Optics, Electro-optics,
    Photonics, Analog Electronics Briarcliff Manor NY 10510

    http://electrooptical.net http://hobbs-eo.com


    --
    Dr Philip C D Hobbs
    Principal Consultant
    ElectroOptical Innovations LLC / Hobbs ElectroOptics
    Optics, Electro-optics, Photonics, Analog Electronics
    Briarcliff Manor NY 10510

    http://electrooptical.net
    http://hobbs-eo.com

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Dieter Michel@21:1/5 to All on Fri Jun 3 15:30:28 2022
    Hi Simon,

    [...] mirrors are a complete nightmare since
    I can't explain left-right inversion to an
    elementary school kid without using the word 'magic'

    from the little I know about mirrors I seem to recall
    that left-right inversion is hardly explainable because
    it doesn't exist.

    Mirrors do not swap left and right, but front and back.
    The impression that left and right would be swapped
    by the mirror only comes about when one (involuntarily)
    puts oneself in the place of the mirror image and thus
    changes the coordinate system without being aware of it.
    Then one's own left hand magically seems to be the
    right hand of the mirror image and vice versa.

    If one does not change the coordinate system, left remains
    left and right remains right.

    Just my 2 cents,

    Dieter

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Phil Hobbs@21:1/5 to Dieter Michel on Fri Jun 3 11:08:54 2022
    Dieter Michel wrote:
    Hi Simon,

    [...] mirrors are a complete nightmare since
    I can't explain left-right inversion to an
    elementary school kid without using the word 'magic'

    from the little I know about mirrors I seem to recall
    that left-right inversion is hardly explainable because
    it doesn't exist.

    Mirrors do not swap left and right, but front and back.
    The impression that left and right would be swapped
    by the mirror only comes about when one (involuntarily)
    puts oneself in the place of the mirror image and thus
    changes the coordinate system without being aware of it.
    Then one's own left hand magically seems to be the
    right hand of the mirror image and vice versa.

    If one does not change the coordinate system, left remains
    left and right remains right.

    Just my 2 cents,

    Dieter


    Yup. The left-right inversion is an illusion, caused by the approximate bilateral symmetry of common objects such as trees and humans. The
    front-back inversion is much more obvious in chirally asymmetric things
    such as hands and screw threads.

    *Re: What lenses do:*

    It's very complicated, so typically we pick out whatever set of
    approximate properties is most useful at the moment. A lens can be
    described as:

    1. A ray bender

    2. A parabolic phase function

    3. (most useful for what I do) A Fourier transformer between pupil and
    focus.

    Then we may have to patch up the polarization effects, edge diffraction contributions, and so forth until we get a good enough approximation.

    Except at high NA, we can usually stick with scalar optics, which is a help.

    There are various bits of heuristic reasoning available that help too.
    For instance, a focused beam with undercorrected spherical aberration
    shows strong interference rings inside focus (i.e. closer to the lens)
    but much weaker ones outside focus. Overcorrected spherical does the opposite.

    Mentally combining the wave and ray pictures, we can get an intuitive
    idea of why.

    The total optical intensity goes like |E|**2, so if we notionally divide
    the beam up into separate center and edge contributions, this becomes

    |E_center + E_edge|^2 =
    |E_center|**2 + |E_edge|^2 + 2 Re{ E_center + E_edge*}.

    The first two terms don't have phase information, and so ideally should
    be the same on both sides of focus.

    The third (interference) term is phase sensitive. Because the
    interference is proportional to the product of the center and edge field strengths, the edge contributions produce the strongest fringes when
    they interfere with the largest E field of the rest of the beam, namely
    near where the edge rays are crossing the beam axis.

    That happens inside focus for undercorrected and outside focus for overcorrected. While this is not too much use in computing the actual
    fringe pattern, arguments of this sort help intuition considerably.

    Cheers

    Phil Hobbs

    --
    Dr Philip C D Hobbs
    Principal Consultant
    ElectroOptical Innovations LLC / Hobbs ElectroOptics
    Optics, Electro-optics, Photonics, Analog Electronics
    Briarcliff Manor NY 10510

    http://electrooptical.net
    http://hobbs-eo.com

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)