It is very complex topic. There is so many good books like for example Rudolf Kingslake Lens Design Fundamentals - in that book you will find detail derivation of all kinds of aberrations.
Well, i guess reflected image from the moving mirror will suffer some amount of shift - it depends on the velocity of the train. Reflection of a e-m wave requires interaction with the mirror matter (i.e. electrons).
Why diffraction is wavelength dependent? Well, it boils down to the uncertainty principle. IMO it's very neat way of explanation of this phenomena (although UP dosen't have much in common with Newtonian mechanic, its still very intuitive to visualize what is going on).
I am afraid that distortions has nothing to do with farsightedness. Those are two different types of aberrations, because one is related to field (the image is in focus - i.e. it's sharp) and the other is related to wavefront aberrations (e.g. coma, astigmatism, etc. - the image is sharp only in...
@DaveC426913
Ask yourself question if it is possible to generate a rainbow from only one droplet and then you will know why arc shape is caused by the circular symmetry (or just watch the lecture).
Answering your question regarding crystals the explanation is imo quite simple: the same rule...
The cheapest way to achieve parallel beam array would be by using diffractive grating and small mounted mirrors, though it will be very hard to set precisely mirrors because of small incident beam angles.
Of course the easiest way and also quite cheap would be just to buy as much laser diodes...
Unfortunately you can't create a monochromatic light, because that would require infinite amount of energy. It's simply as that - check out the Fourier Transform of Dirac function and you will see why it's true.
What you want to achive is physically impossible - I recommend you to get familiar with diffraction effect. As i said before, collimating light source like LED to small point can be only done by blocking rays - it's very inefficient.
Well, I think that it is possible. but light passing setup will be very dim. All you need to do, is put a converging lens with small aperture and placed it at a distance equal f (focus length) from the led or from the focused image of led. Obtained dot diameter will be the same as the aperture...
Thank you for your reply.
Can you tell me what kind of method are you going to use for camera distortion calibration?
I came across at two kind of methods. One is based on modeling radial distortion and second is based on fitting user defined polynomial (very rare method). Second method is...