Thank you for the wonderful video. I have one question: According to Goodman's Introduction to Fourier Optics, the fresnel propagation transfer function should be exp(j*\pi*\lambda*d*x^2)*exp(j*k*d) where exp(j*k*d) is a constant phase delay term that can be dropped. The key is that the propagation distance d should be in the numerator, not the denominator. However, the video (at 2:00) had d in the denominator. Was that a typo?
Nope, if you have a monochromatic wave you will always have a monochromatic wave. The frequency will only change if you have some weird nonlinearity going on or if you have moving objects due to the Doppler effect.
Thank you for the wonderful video. I have one question:
According to Goodman's Introduction to Fourier Optics, the fresnel propagation transfer function should be exp(j*\pi*\lambda*d*x^2)*exp(j*k*d) where exp(j*k*d) is a constant phase delay term that can be dropped. The key is that the propagation distance d should be in the numerator, not the denominator. However, the video (at 2:00) had d in the denominator.
Was that a typo?
Fantastic video, thank you!
Good ! What about frequency spectrum? Does monochromatic wave create additional frequency components and change spectrum at Fresnel diffraction?
Nope, if you have a monochromatic wave you will always have a monochromatic wave. The frequency will only change if you have some weird nonlinearity going on or if you have moving objects due to the Doppler effect.
The only thing missing is a good example of all this stuff.