I can notice that the integral formula is applied when the time t is fixed. I mean, for example, if we consider the wave front at the single slit, all the points on the wave front at the single slit will be regarded as sources and using the formula the amplitude ##\Phi_0(\vec{x})## of light wave...
Is the integral that you had derived is the same as the Fresnel diffraction integral? because from this Wikipedia article (https://en.wikipedia.org/wiki/Fresnel_diffraction) they look similar.
The wave equation can be derived directly from Maxwell's equations. Can I conclude from this that...
I think it is a requirement for the Huygens' model. Huygens' principle states that "all points of a wave front of light in a vacuum or transparent medium may be regarded as new sources of wavelets that expand in every direction at a rate depending on their velocities".
Yes I know that the sources on a wave front do not necessarily have the same intensity, but my question is that Is the intensity at a specific point p on an arbitrary wave front k, in the case when the wave fronts (other than the initial wave front at the slit) contain Huygens' sources, the...
Thanks for your answer, but that's not what I was inquiring about in my post. You are describing the quantum mechanical point of view of diffraction of light, and my question is just related to Huygens' principle.
In a single slit diffraction experiment, when we want to calculate the intensity of light on a screen located very far away from the slit, usually Huygens' principle is adopted as a model to perform the calculations.
It is assumed that the width of the slit consists of an infinite number of...
According to Laue condition, unless ##\vec{k}-\vec{k}^{'}=\vec{K}##, where ##\vec{K}## is a reciprocal lattice vector, no constructive interference can happen and hence no high intensity spots can be detected at the direction of ##\vec{k}^{'}##.
However, Laue condition doesn't imply that...
You mean that all types of photon-electron collisions are assumed elastic? because the energy lost from the photon would be negligible w.r.t to the initial energy of the photon? or it applies only for high-energy photons such as X-rays?
Hello,
I am wondering why in all X-ray diffraction experiments used to probe or know the crystal structure of the solid they assume that the scattering process is elastic, e.g, if an X-ray with wave vector ##k\vec{n}## is incident on a sample, it will diffract with a wave vector ##k\vec{n}'## of...
I think your comment resolved the issue. Indeed, my whole issue was pivoting around my claim that the "same amount of light would enter the slit", which is a wrong claim or at least very hard to make it feasible. I was ignoring the fact that the source of light that I'm illuminating into the...