- 2,812
- 491
How do you aim for a specific pixel? If the pixel is smaller than a wavelength, forgetaboutit. If it's larger than a pixel, you might be able to aim for it by using an aperture, but you lose a lot of photons hitting the aperture.
Khashishi said:How do you aim for a specific pixel? If the pixel is smaller than a wavelength, forgetaboutit.
If it's larger than a pixel, you might be able to aim for it by using an aperture, but you lose a lot of photons hitting the aperture.
MarkoniF said:Losing photons due to aperture size is what we want, I think. This helps us to aim, as well as produce individual photons with some gap or time interval between them.
Cthugha said:Having high spatial resolution and single photon sensitivity at the same time is a major pain, but in principle possibly, for example by using a spad array or something. Creating single photons is also complicated, but possible. Creating single photons at a specific time interval is VERY complicated and you will get pretty rich if you can do that in a reliable manner in a non-lab surrounding. But at least you can do that with some mediocre fidelity.
I can assure you that they do not. Diffraction is always there, whether you have an intense beam or single photons. If you integrate over a large number of photons, the total diffraction pattern will be the same for intense beams or single photons under otherwise identical circumstances.
No, one should not interpret this as a photon size. The Mandel/Wolf, the bible of quantum optics devotes a whole subchapter to this topic. In a nushell, you run into severe problems trying to use this interpretation for polychromatic lightfields. For example, when you do the math, you will find out that the probability density to detect a photon peaks at a position which does not coincide with the maximum of the energy density. If you wanted to attribute something like a size to photons, the coherence length is a better measure than the diameter it can be focused on. Still, the coherence length should not be interpreted as a photon size. You still run into problems doing that.
Photons are typically treated as point particles which renders the concept of photon size obsolete. The underlying fields have some characteristic length scales like the mentioned coherence length.
MarkoniF said:I did read few weeks ago about some type of laser emitting individual photons at the rate of super-high time resolution.
MarkoniF said:Having individual photons, what is diffraction? Increase in their individual amplitude? Or some probability cloud of possible trajectories as a sum of many of them?
MarkoniF said:Can we not say with certainty what is the distance between two amplitude peeks of a single photon by knowing its wavelength? Is that distance not real, and would it not describe "thickness" of individual photons?
Cthugha said:I read something somewhere is not really a good reference. Do you by chance have a link to the real reference? That makes it much easier to check whether that was just "second-hand" pseudoscientific journalism for the masses or a crude simplification of much more complex matter. Lasers typically emit coherent light which is about as far away from single photon emission as you can get.
You do not have trajectories in standard quantum optics.
You have probability amplitudes for certain events - typically detections. So if you repeatedly prepare single photon states with well defined momentum (which is already complicated) and a small "beam" diameter, you will find that the probability amplitudes for detection events away from the center of the beam and at larger distances from the initial beam diameter will increase with the distance traveled by the single photons.
If you are in the lucky situation of having a monochromatic single photon (which would be infinitely long in time by the way), you have at least a certain wavelength. However, typical photons are polychromatic. In any way the probability amplitude for detection events is typically nonzero over some area which is not at all related to the wavelength. Depending on the coherence properties of the emitter, the area in which detections are possible can range from micrometers to meters, maybe even kilometers. The wavelength is real, but can by no means be interpreted as a size or even thickness. You can have different light fields with the same wavelength, but very different detection probability distributions.
MarkoniF said:I meant it is precise like laser, in a sense they could aim or focus those photons to narrow area on the sensor.
MarkoniF said:I couldn't find that link. Found a lot of stuff about quantum dot LEDs.
MarkoniF said:And also this interesting link, about sensor though, rather than photon emitter:
http://phys.org/news173957578.html
- "camera capable of filming individual photons one million times a second... a pixel that is 50 microns-by-50 microns, with a lot of functionality in it... high-precision lenses work amazingly well to lead the photons onto the photosensitive areas that are just 10 microns in size."
MarkoniF said:If we can detect individual photons then we know exactly what trajectory each photon went through. Light travels in straight lines, doesn't it?
MarkoniF said:I guess it depends on how well can we focus.
MarkoniF said:Not wavelength, amplitude. Do individual photons have amplitude? Does that amplitude represent some actual distance?
Cthugha said:Yes, this is a SPAD array. So what about it? 10 microns is still rather large, by the way.
In fact, you cannot say anything about what happens between emission and detection. For the double slit experiment to work with single photons, it must be uncertain which slit a certain photon has taken. So if one could say light travels strictly in straight lines, there would be no interference in double slit experiments. Yet, there is interference.
We were talking about diffraction. What does focusing have to do with that?
I do not get your question. Even for a classical em field the amplitude is given in Newton per coulomb or equivalently volts per meter. This is not a mechanical displacement amplitude related to distance via Hooke's law or something like that. You can associate single photons with probability amplitudes and you can often also find a description in terms of underlying fields.
MarkoniF said:I guess whether that's large or small would depend on photons amplitude.
. . . . .
I expected photon amplitude would be actual, or what you call "mechanical", displacement, or at least correspond to some actual distance in terms of whatever measurable effects, like the wavelength does.
sophiecentaur said:You guys are are talking in circles when you are considering the 'size' of a photon because it is a non-concept.
MarkoniF said:And if we don't have any slits, wouldn't the path of each photon be along the shortest distance from the aperture opening to the pixel where it was detected? Maybe the path wouldn't be a straight line, maybe it would be a helical or sinusoidal line, but on average it surely wouldn't deviate too far from the shortest distance line.
MarkoniF said:I'm not sure, shouldn't focusing be opposing diffraction?
Cthugha said:Well, I said like five times now that there is no meaningful concept of photon size and at least once that they are treated as point particles...
sophiecentaur said:If a photon is to be as defined in QM and has energy that is dependent upon the frequency of EM it's associated then please tell me what you mean by "photon amplitude". Can you quote me anywhere reputable that you have read this expression?
MarkoniF said:https://en.wikipedia.org/wiki/Photon
There are only three things marked on that diagram, wavelength, amplitude of electric field and amplitude of magnetic filed. Waves naturally have amplitudes just like they have a wavelength. How else would you know what is the wavelength if you don't know how far apart are the peaks of the amplitude?
sophiecentaur said:Yes, I realize you know that but the 'conversation' keeps throwing it up as a concept - along with some actual Pictures!.
sophiecentaur said:But do you have an answer for my point about coherence length and the identical nature of photons? There's something still needs clearing up there, I think.
Cthugha said:As stated before, you cannot say anything about what happens between emission and detection for a single photon. You can define something like an average trajectory for an ensemble of identically prepared states (Science 332, pp. 1170-1173 (2011)), but that does not have any implication for single photons. You are having a way too classical concept of what photons are. Thinking about them as tiny balls flying through space is about as far away from a sensible description as you can get.
Not really. Of course you can focus light somewhere, but behind the focus point, it will of course spread again. Even if you place a series of lenses, repeatedly focusing your light beam, it will broaden with distance.
MarkoniF said:Not tiny balls, it's oscillating electromagnetic fields, where their oscillation is defined by their wavelength and amplitudes. That's what Maxwell said and found out the speed of propagation of such oscillating electromagnetic fields would be the speed of light. Coincidence?
MarkoniF said:Our unit for distance, whole General and Special Relativity, and much of the rest of the physics depends on this electromagnetic oscillation propagating in straight lines. That's also necessary for the speed of light be constant. Just because we have no practical explanation to what happens at the double slit doesn't mean have to abandon the idea photons propagate along straight lines.
MarkoniF said:Then for our experiment we obviously need to place the detector at focus point distance. But it's not really important if we can detect individual photons, so the critical question to answer is if we could make pixels small enough whether a single photon could ever impact more than one pixel.
sophiecentaur said:Again, you are confusing the classical wave with the photon. That diagram describes a Wave. Is there any mention of photons on it?
You seem to be repeating the same thing to yourself, 'explaining it' to PF in your terms, drawing diagrams from inside your head and not accepting any new input about this. Photons and waves are DIFFERENT aspects of the same thing.
If it were as straightforward as you seem to think then why would thousands (even more than that) of really clever Scientists have had a problem with it? Your model doesn't actually take you into QM, it just tinkers with the ancient 'corpuscular' theory and tries to make those little corpuscles a bit wiggly.
BTW, from the whole of that wiki article, why did you pick the one diagram that shows the classical description of a wave when photons are dealt with everywhere else?
Cthugha said:Yes, so? What is your point?
'Again, please note that the amplitude is in electric field, not distance.
MarkoniF said:The point is that electromagnetic wave equation describes actual spatial wave where electric and magnetic fields oscillate, that is move "up-down"/"left-right" through actual spatial distance of their amplitudes as they propagate.
MarkoniF said:What do you mean amplitude is "in electric field"?
MarkoniF said:That's not my model, it's what Maxwell came up with. Combined electric and magnetic field and it turned out they would oscillate while propagating at the speed of light. Then Einstein figured out they have momentum, making them "full-fledged particles", to quote Wikipedia.
MarkoniF said:Not tiny balls, it's oscillating electromagnetic fields, where their oscillation is defined by their wavelength and amplitudes. That's what Maxwell said and found out the speed of propagation of such oscillating electromagnetic fields would be the speed of light. Coincidence?
Our unit for distance, whole General and Special Relativity, and much of the rest of the physics depends on this electromagnetic oscillation propagating in straight lines. That's also necessary for the speed of light be constant. Just because we have no practical explanation to what happens at the double slit doesn't mean have to abandon the idea photons propagate along straight lines.
Then for our experiment we obviously need to place the detector at focus point distance. But it's not really important if we can detect individual photons, so the critical question to answer is if we could make pixels small enough whether a single photon could ever impact more than one pixel.
Cthugha said:NO, the oscillations in an em wave do exactly not mean that. It is a change in the field strength along some direction. The change in field strength does not mean that something is literally moving up or down in this direction. Could you please provide a reference confirming that these are indeed mechanical-like oscillations and not oscillations in the electrical field as Wikipedia and many other sources say?
Exactly that: The electric field strength oscillates, it increases and decreases again and so on and so forth.
Maxwell did not come up with a model for photons. He came up with a great model for light beams and large numbers of photons. Speaking about single photons (ensembles of identically prepared single photons), you can only recover some analogue to Maxwell's equations in a probabilistic manner and considering many repeated runs of an experiment. However, you still run into conceptual problems. For example, there is a weak uncertainty relation between photon number and phase. As the photon number is precisely determined for a single photon, phase is pretty much undetermined. This is something you do not get out of Maxwell's model.
sophiecentaur said:Maxwell had nothing to do with Quantum Mechanics. His model was a classical one. It seems that you fail to see the difference (which is what this is all about). Your personal argument glides seamlessly between classical and QM and you don't even seem aware that you are doing it.
I notice you are still ignoring my challenge to relate this to Long Wave Radio. If you can't do this then your model has to be a dead duck.
How does that fit your idea of a photon, as you have described it, being 'focussed' onto a detector?
Btw, you don't mean "pixel"; you mean 'detector'. The detector on the shelf in your home (your radio receiver) is around 1/3000 of the wavelength of the lowest frequency it will receive perfectly well.
Can I ask what level of formal Physics and or Maths education you have? It could make a difference to how you appreciate some of what you have been reading recently.
MarkoniF said:Does QM in any way discredits photon is oscillation of electric and magnetic fields, with certain wavelength and polarization plane?
Do what? It's not MY model, stop flattering me please, you make me blush. It's common knowledge described in electrodynamics textbooks. So anyway, what is it "I" am ignoring, what is your objection about? What do you imagine would be the problem, something to do with focus? What is it?
I mean pixel, but I can call it "photoreceptor" if you prefer. Photo detectors are made of pixels with certain size, which is what defines detector resolution. These guys call them pixels as well:
http://phys.org/news173957578.html
- "camera capable of filming individual photons one million times a second... a pixel that is 50 microns-by-50 microns... "
Let's just say I'm self-proclaimed know-it-all smarty-pants type of person, like you, and everyone else on the internet.
sophiecentaur said:Yes. Completely and utterly. This is my whole point.
Again, it is totally the other way round A very (infinitely) small detector has no resolution at all - it is omnidirectional. Basic diffraction theory. You may be referring to the focussing system or the 'wave gathering structure' that presents a receptor with an image with certain resolution. (Look up resolution of a lens or antenna.)
I see you spent a whole post 'explaining' some of the basic nature of EM waves but rather missing the point about what moves, physically and what doesn't move.
Fields do not move. They just have a value at some point in space.
A disturbance in a field can propagate in space as a wave in the same way that sound can propagate along a string without any of the string actually going anywhere...
...only the Electric and Magnetic fields do not themselves, represent a lateral movement of anything.
Please address my point about your ideas relative to Long Wave radio signals. It could be very enlightening for you. You seem to shy away from that concern of mine. Why?
I imagine you have read about the 'duality' issue and that, for more than a hundred years, the two facets of Electromagnetism have been appreciated as being very different and do not apply at the same time.MarkoniF said:What are you talking about? You forgot to explain yourself. Can you articulate how do you imagine QM invalidates photons are oscillating electric and magnetic fields?
An array of sensors has no resolution at all unless an image is focussed on it. Whilst it is obvious that one photon can only activate one sensor on an array, that is not what is meant by resolution. (Look it up)I was talking about photo-detectors, such as photographic film, and they do have finite resolution defined by the pixel size. What's the problem?
Yes I know what a wave equation is and I can solve it. An equation that describes Forces (which is what a Field will exert on a charge, for instance) does not involve any movement at all. If there were some 'movement' of anything in the transverse direction of the fields then that would involve Work being done, which would mean Energy Loss. There is no energy loss because there is no movement.You are missing the point and you are not saying anything but simply negating without any reason or explanation given. If the fields didn't move then the plane of B field oscillation couldn't be perpendicular to the plane of E field oscillation, there wouldn't be any "plane", there couldn't be such thing as horizontal, vertical or circular polarization. How do you arrive to your conclusion to disagree with this?
http://en.wikipedia.org/wiki/Electromagnetic_wave_equation
- "The electromagnetic wave equation is a second-order partial differential equation that describes the propagation of electromagnetic waves through a medium or in a vacuum. It is a three-dimensional form of the wave equation."
Do you know what is wave equation? Do you know what is transverse wave? Do you know what "perpendicular oscillation" means? If you do, then how do you explain yourself thinking electromagnetic wave equation does not describe E and B fields are actually moving, that is oscillating perpendicularly to the direction of their propagation?
I know EM waves are transverse, which is why I compared them with waves on strings - which are also transverse. There is no motion of anything, in either case, in the direction of the propagation of the wave. In the case of mechanical waves, there is lateral movement but without energy loss because the KE and PE add together to give a constant level of energy because they are in phase quadrature . There is nothing of the sort in EM waves because there is no work, no PE and no KE.Are you suggesting light is longitudinal waves? Sound is longitudinal waves, light is transverse waves.
http://en.wikipedia.org/wiki/Electromagnetic_radiation
- "Electromagnetic radiation is a transverse wave, meaning that the oscillations of the waves are perpendicular to the direction of energy transfer and travel."
How do you explain yourself thinking there could be "perpendicular oscillation" without E and B field actually moving perpendicularly to the direction of travel?
How did you come up with that?
http://en.wikipedia.org/wiki/Electromagnetic_radiation
![]()
- "The electric field is in a vertical plane and the magnetic field in a horizontal plane."
Do you realize charge magnitude +q and -q is scalar while E and B are vectors describing their lateral displacement? What do you think "vertical plane" and "horizontal plane" would be all about? How would you explain horizontal, vertical or circular polarization if there is no lateral plane of oscillation?
I'd be happy too, but you missed to explain what do you imagine would be the problem. So I'm asking you again, what is it you would like me to explain? You seem to shy away from actually pointing any problem. It could be very enlightening for you if you did.
MarkoniF said:It does mean electric and magnetic fields are actually moving, that's what electromagnetic wave equation describes. If they didn't then the plane of B field oscillation couldn't be perpendicular to the plane of E field oscillation, there wouldn't be any "plane", there couldn't be such thing as horizontal, vertical or circular polarization.
MarkoniF said:That too, but unlike polarization plane, that is spatial oscillation, I don't think magnitude oscillation can be experimentally confirmed.
MarkoniF said:Single photons do too have specific polarization and wavelength.
MarkoniF said:Inability to measure something with certainty doesn't mean it's actually undefined or unreal.
sophiecentaur said:I imagine you have read about the 'duality' issue and that, for more than a hundred years, the two facets of Electromagnetism have been appreciated as being very different and do not apply at the same time.
An array of sensors has no resolution at all unless an image is focussed on it. Whilst it is obvious that one photon can only activate one sensor on an array, that is not what is meant by resolution. (Look it up)
Yes I know what a wave equation is and I can solve it. An equation that describes Forces (which is what a Field will exert on a charge, for instance) does not involve any movement at all.
If there were some 'movement' of anything in the transverse direction of the fields then that would involve Work being done, which would mean Energy Loss. There is no energy loss because there is no movement.
I know EM waves are transverse, which is why I compared them with waves on strings - which are also transverse. There is no motion of anything, in either case, in the direction of the propagation of the wave. In the case of mechanical waves, there is lateral movement but without energy loss because the KE and PE add together to give a constant level of energy because they are in phase quadrature . There is nothing of the sort in EM waves because there is no work, no PE and no KE.
The problem is that, for long waves, according to your naive description of a 'wavelike photon' the photons would need to have a length of several wavelengths, which would put it at, perhaps ten kilometres. How would that be picked up on a detector that is only perhaps 10cm long?
In your terms of 'resolution', how many 'pixels' would that cover? Certainly not one photon per pixel.