[HN Gopher] Third-polarizing-filter experiment demystified (2004)
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Third-polarizing-filter experiment demystified (2004)
 
Author : rahimnathwani
Score  : 62 points
Date   : 2022-08-18 19:10 UTC (3 hours ago)
 
web link (alienryderflex.com)
w3m dump (alienryderflex.com)
 
| adgjlsfhk1 wrote:
| This only works if you forget that light is quantized. The place
| the weirdness really comes in is that if you shoot single photons
| at a time, you observe the same effects.
 
  | avodonosov wrote:
  | Does the sibling comment by phkahler cresolve your doubt?
  | (https://news.ycombinator.com/item?id=32514107)
 
  | yarg wrote:
  | It's not that weird.
  | 
  | You can consider a wave passing through a filter as a sum of
  | two orthogonal waves, rSin(th) + rCos(th), th being the angle
  | between the light-wave and the filtered angle, r being the
  | amplitude of the wave.
  | 
  | One wave gets eliminated, and whatever exits exits at the only
  | angle it can, the angle orthogonal to the filtered angle.
 
| phkahler wrote:
| The part that still needs explaining is how the magnitude can be
| reduced. IIRC single photons can be polarized by these things,
| and AFAIK their wavelength is not changed so their energy is
| unchanged as well.
| 
| I have always thought (how I got there I don't know) that the
| polarizer did something weird like rotate the photon to the
| correct phase angle AND passed it through with probability based
| on the angle / or didn't let it pass. This would give a similar
| reduction in intensity for a desktop experiment while having
| similar but different details when looking at the photon level.
| Is this correct?
 
  | gorkish wrote:
  | At the single photon level, the photon that goes into the
  | polarizer and the photon that goes out of the polarizer are not
  | the same photon, so it's not right to say that a photon is
  | changed or transformed.
  | 
  | For a photon coming in at 45 degrees to the polarization angle,
  | the probability that another photon will be emitted is
  | sin(45deg) =~ 70% and the probability that it will be absorbed
  | is 1/sin(45deg) =~ 30%.
  | 
  | (This is also a simplification; polarization angle is similarly
  | quantum in nature, and I have assumed it to be collapsed here)
 
  | abdullahkhalids wrote:
  | The explanation given is at the level of classical
  | electromagnetism, and is sufficient to explain and predict
  | experiments with regular light.
  | 
  | If you want an explanation and prediction of what happens at
  | the level of single photons, you need more structure from the
  | theory of quantum optics. But briefly the filter at angle T
  | does a measurement on the photon in the basis {T, T+pi/2}, and
  | you end up seeing the photon on the other side of the filter
  | only with whatever probability the photon has for being in
  | state |T>, as opposed to state |T+pi/2>.
  | 
  | So, filters are inherently destructive and fewer and fewer
  | photons pass through each subsequent filter. And a photon that
  | makes it through a filter at angle T, now has a new state |T>.
 
    | jiggawatts wrote:
    | The thing is that there is no actual evidence that "single
    | photons" exist _in the electromagnetic field_. That last bit
    | is important: photons are a mathematical shorthand for
    | dealing with emission and absorption by atomic orbitals.
    | 
    | They're not an explanation for continuous waves in between,
    | _but the mathematics largely works anyway_ because photons
    | are very similar to how one would do a Monte Carlo numerical
    | simulations of continuous wave phenomena.
    | 
    | This has resulted in an unbelievable amount of confusion...
 
      | oh_my_goodness wrote:
      | There is lots of evidence for photons in the EM field,
      | beginning with Planck's invention of photons. http://hermes
      | .ffn.ub.es/luisnavarro/nuevo_maletin/Planck%20(...
      | 
      | If you make the energy in a mode of the EM field
      | continuous, you get the famous 'ultraviolet catastrophe.'
      | This holds whether the matter involved has a continuous
      | emission spectrum or not.
 
        | renox wrote:
        | I'm not so sure: 'black body' are made of atoms, atoms
        | emits lights only on certain frequency due to the way
        | electrons orbitals are structured, with discrete energy
        | levels, but I don't see how this is related to EM fields
        | themselves..
 
  | gnramires wrote:
  | I think that although light is a quantum phenomenon and we can
  | detect single photons, many people overlook that photons still
  | behave similarly to Maxwell's (wave) equations. In particular,
  | the average behavior is that of the electromagnetic wave (up to
  | some extremes like extremely high energies). The 'bullet' model
  | people think of when the word photon (particle) is mentioned is
  | inadequate. This becomes clear in field theory (QED and QFT),
  | where there's a more complete description based of this
  | phenomena solely based on field (wavelike) behavior. It's
  | believe any (small) system follows QFT exactly (there's still
  | uncertainty around gravity).
  | 
  | The exact nature of the relationship of quantumness and fields
  | (i.e. how the single-particle behavior arises from QFT) is
  | still unclear, which is why there are many competing
  | interpretations of quantum mechanics. In the Copenhagen
  | interpretation, which is the most "easy" one, the behavior of
  | photons is just (almost) that of Maxwell's equations, on
  | average, s.t. a single photon will be measured with probability
  | equal to the average light intensity anywhere (they are said to
  | "collapse" at the moment of measurement, which is surely a
  | simplification of a more complete underlying theory).
 
  | roesel wrote:
  | The magnitue drop is reasonably simple to understand in terms
  | of fields. The oscillating optical field might be less
  | effective at exciting material oscillations in the middle
  | filter due to a mismatch in polarization, but it _still does so
  | at the same frequency_. You can think of it as multiple photons
  | (incoming field) collectively exciting the same electron on the
  | same frequency but with reduced efficiency. The electron then
  | re-emits fewer photons (outgoing field) of the same wavelength,
  | leading to a lower light intensity detected after the filter.
 
    | Arwill wrote:
    | I don't think photons are absorbed and re-emitted by
    | electrons. At least that argument does not hold when
    | discussing light slowing down in glass or water. Light is
    | affected by the electromagnetic field of the material it is
    | going trough, is slowed down, or absorbed based on some of
    | its property, but photons that go trough are going trough
    | without collision. Photons that get absorbed and re-emitted
    | are scattered in all directions, and are mostly lost. You
    | would not see a consistent image trough a polarising
    | sunglass, if the photons you were seeing were re-emitted
    | photons.
 
  | Sharlin wrote:
  | The polarization of a single photon is a quantum property, so
  | it's essentially a probability distribution. Passing a photon
  | through a polarizer modifies the probability distribution such
  | that "more perpendicular" polarizations are now less likely and
  | "more parallel" ones more likely. (Polarization is a
  | superposition (ie. a linear combination) of two orthogonal
  | basis vectors, and a polarizer projects a polarization vector
  | onto one of the basis vectors.)
 
| nh23423fefe wrote:
| Isn't this backward? Usually polarization is the analogy used to
| explain stern-gerlach.
| 
| I dont get the desire to cast light as something non quantum...
 
  | fsh wrote:
  | The quantum nature of light is extremely difficult to observe.
  | Almost all laboratory experiments can be explained using
  | Maxwell's equations and the quantization of the electric charge
  | (this explains why photodetectors "click"). Photons usually
  | only show up when higher-order correlation functions are
  | analyzed.
 
  | bowsamic wrote:
  | > I dont get the desire to cast light as something non quantum.
  | 
  | Because you can describe it entirely using classical physics in
  | this situation
 
| yuan43 wrote:
| Trying to make sure I understand this.
| 
| According to the article, the "spookiness" comes from a
| misunderstanding of what a polarizer does. It doesn't "block" all
| light polarized on axes different from the polarizer. We know
| this is true because otherwise sunglasses would transmit much
| less light than they do. Imagine sunglasses could block any
| photon within +/- 1 degree of the polarization plane. That means
| that just 1/180th of the light would get through. But the
| observed transmission is much higher.
| 
| Instead, the polarizer does two things. First, it emits light
| polarized parallel to its axis. But, and this is the key, _all_
| incident light gets effectively passed. Along the way the
| intensity (amplitude, or  "magnitude" in the article) is
| attenuated based on deviation from the polarizer's plane. The
| attenuation is 0% for light polarized in parallel and 100% for
| light polarized perpendicularly.
| 
| Now we can understand the experiment with a new mental model.
| Three filters are placed in series (A, B, and C). However, we can
| disregard A for the most part and treat this as a two-filter
| system (B, C), where the light exiting B is attenuated relative
| to the light entering A and polarized along B's axis. This model
| explains all of the observations.
 
| klodolph wrote:
| > These results can be verified by performing the experiment with
| an actual light meter -- the meter should show about twice as
| strong a reading in the Figure 1 arrangement as it does in the
| Figure 3 arrangement.
| 
| Quantum mechanics predicts that the difference is a factor of 4,
| not a factor of 2.
 
| rahimnathwani wrote:
| I came across this on Twitter. Someone had posted an image of the
| same experiment, and said they used it to teach their kid about
| quantum effects.
| 
| Several replies explained how the effect can be explained without
| quantum mechanics.
| 
| This article (linked in one of those comments) is so clear, and
| I'm amazed I haven't seen it on HN before.
 
  | bowsamic wrote:
  | That thread was a huge mess of confusion and misinformation. I
  | hope I managed to dispel some confusions there
 
| roesel wrote:
| While this explanation is very nice, it still does not actually
| explain what is happening on a material level.
| 
| The light does not "pass" through the middle filter, but it
| excites oscillations in the material, which effectively re-emits
| the light with different properties. The incoming light polarized
| at 0deg induces oscillations in electrons which are "bound to a
| rail" in the material, which allows them to only oscillate in the
| direction of 45deg (and all oscillations in the direction of
| -45deg are absorbed). Therefore, a portion of the incoming field
| essentially gets re-emitted _by_ the middle filter linearly
| polarized at 45deg.
| 
| This representation is much less helpful if you think of the
| light in terms of individual photons rather than fields of
| course, but it is not worse than the article in this regard
| either.
 
  | function_seven wrote:
  | If the material is being excited into oscillations that then
  | re-emit "new" light, how is the color and direction preserved?
  | Polarization filters tend to pass the full spectrum (or nearly
  | so) of visible light, but my understanding of photon absorption
  | and emittance is that the wavelengths are dependent on the
  | electron energy levels. (I'm thinking of the same mechanism
  | that produces lines on a spectrometer, indicating which
  | elements are present in a sample.)
  | 
  | I guarantee I've misused a term or two above. Hopefully you get
  | what I'm asking.
  | 
  | Taking a stab at my own question, the "rails" are field lines
  | within the material, and not electrons themselves that
  | interact. Is that close?
 
    | amluto wrote:
    | It's because the "re-emission" is coherent in the sense that
    | it's in the same phase as the incoming light. As a decent
    | analogy: when you sing a pure note, it "excites" (vibrates)
    | air molecules as it travels, and those air molecules in turn
    | bump into other molecules, all at random, but still all in
    | phase so that whoever is listening hears the original note.
    | Similarly, when light goes through ordinary glass, it wiggles
    | the electrons in the glass, which in turn change the way the
    | light propagates, refracting it while still preserving an
    | image.
    | 
    | Any textbook on electricity and magnetism will cover this in
    | a section called something like "Maxwell's equations in
    | materials".
 
  | moralestapia wrote:
  | Is it photons in -> (new) photons out? Or the same ones
  | reoriented?
 
    | NotYourLawyer wrote:
    | It's new photons being emitted.
 
      | amluto wrote:
      | I disagree. Photons don't have identity - you can't
      | distinguish old from new. This is true of all bosons, and
      | it's quite important to how they behave.
 
        | moralestapia wrote:
        | (Interesting) Could you elaborate?
 
| avodonosov wrote:
| The concern that the article presents - that the middle filter
| influences the light and thus allows it to pass through the third
| filter - is actually addressed in popular quantum mechanics
| explanations that use the 3 filter experiment.
| 
| They say that if we use two entangled photons and let them fly
| far apart, then pass one of them through two filters, and the
| second photon through the middle filter, the first photon will be
| affected - it will get a chance to pass though the pair of
| filters.
| 
| That they say is "spooky action at distance" - the second photon
| will influence behaviour of the first photon at the remote site
| of the experiment and the "influence" is faster then the speed of
| light.
| 
| Example here by MinutePhysics and 3Blue1Brown:
| https://youtu.be/zcqZHYo7ONs Explanation about entanglement
| starts at around 8:50.
| 
| But even with that addressed, to me personally this video is not
| satisfying.
| 
| If the spooky action at distance can be observed so trivially -
| choosing a filter at one site site affects what happens at the
| remote site - we don't need a mathematical inequality (the Bell's
| inequality), it's already so obviously spooky.
| 
| There are also serious problems with clarity of their
| explanation, as I commented in
| https://www.youtube.com/watch?v=zcqZHYo7ONs&lc=Ugz3tzpDP_i1N...
| and
| https://www.youtube.com/watch?v=zcqZHYo7ONs&lc=Ugz3tzpDP_i1N...
| 
| I am not sure the real Bell experiments are really done using 3
| polarizing filters and will the effect really be observed in
| experiment with two remote sites.
| 
| My conclusion, it's problematic to rely on "pupular science"
| explanations, even by good channels like MinutePhysics and
| 3Blue1Brown.
 
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