All Questions
Tagged with electromagnetic-radiation waves
144
questions with no upvoted or accepted answers
6
votes
0
answers
80
views
Relation between the electric and magnetic fields for an arbitrary electromagnetic wave
When solving the wave equation for electromagnetic waves,
$$
\nabla^{2} \mathbf{E}=\mu_{0} \varepsilon_{0} \frac{\partial^{2} \mathbf{E}}{\partial t^{2}}, \quad \nabla^{2} \mathbf{B}=\mu_{0} \...
- 974
6
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0
answers
244
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Can ray-tracing be used to design a stealth air craft? Or is it necessary to use wave theory?
This question is inspired/kicked-off by a question over in Aviation SE asking about the design of stealth air craft.
Stealth technology is usually referred to when trying to make vehicles invisible ...
- 439
4
votes
0
answers
91
views
On sum of amplitudes in Wave Mechanics
Consider Schroedinger equation, which I write in the form $$ (\mathscr{L}+V)\psi=0$$where $\mathscr{L}$ is the kinetic and time-derivative operator. Now, imagine I have two point sources 1,2 with ...
- 1,752
4
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0
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122
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Formulate the equations that describe this transmission-line circuit (Veritasium's circuit)
My question
Consider the following circuit. Two non-resistive long transmission lines ($R' = G' = 0 \text{ } \Omega$) , each of the same length $L$ and same inductance per unit length $L'$ and same ...
- 344
4
votes
1
answer
444
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Polarization of a transverse wave travelling in ionosphere with polarization direction perpendicular to earths magnetic field
Assume a transverse electromagnetic wave entering ionosphere such that its electric field is perpendicular to Earth's magnetic field. Now, I read that as it will enter plasma, the wave will tend to be ...
- 1,528
3
votes
1
answer
124
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Can you observe Rayleigh scattering of water waves?
I understand roughly that Rayleigh scattering occurs when white light encounters particles smaller than the wavelength of visible light, and short wavelengths are preferentially scattered.
I'm ...
- 151
3
votes
1
answer
61
views
Shield gamma/X-ray/ultraviolet radiation without blocking radio waves
I was theoretically considering building an airtight enclosure that shielded the insides from gamma/X-ray/ultraviolet radiation but did not block radio waves (so that communication would not be ...
- 131
3
votes
0
answers
969
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What is the difference between "normal mode" and just "mode"?
So in the oscillation problems, is there difference between "mode" and "normal mode"? I know that "normal modes" are independent and orthogonal, so one doesn't affect the other. Now I am not sure when ...
- 913
2
votes
0
answers
38
views
Direction of propagation of extraordinary wave inside a birefringent medium
I am reading Optics by Ajoy Ghatak, in which the author explains the phenomenon of double refraction in a calcite crystal using Huygens' principle. My query is in the analysis of the case of normal ...
- 21
2
votes
0
answers
44
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Understanding Green's Function Derivation for Inhomogeneous Wave Equation
I am currently reading through Zangwill's Modern Electrodynamics. In Chapter 20, Zangwill derives the Green's function for the wave equation
$$[\nabla^2 - \frac{1}{c^2}\frac{\partial^2}{\partial t^2}]\...
- 954
2
votes
1
answer
68
views
Poisson spot amplitude
The equation
$$
U(P) \propto \int_0^{2\pi} \int_0^{\infty} g(\rho,\theta) \exp\left[ \frac{i\pi}{\lambda}\left(\frac{1}{z_0} + \frac{1}{z_1}\right) \rho^2 \right] \rho \, d\rho \, d\theta
$$
or the ...
- 121
2
votes
0
answers
52
views
How does Cherenkov radiation destructively interferes and leaves only a radiation over a beamed cone?
I'm trying to understand the observations in IceCube Neutrino Observatory where they observe the Cherenkov radiation emitted by a charged particle in the ice. I know that applying the Huygens ...
2
votes
0
answers
46
views
Does a plasma with plasma frequency $\omega_p$ generate photons of the same frequency?
I know that photon emission in plasma results in a change of energy level of the electrons from excited or ionised atoms. However, I saw that photons of 13eV were created in a helium plasma, but this ...
- 21
2
votes
0
answers
191
views
Why do Hankel functions represent travelling waves?
I was trying to find the fundamental solutions for the Helmholtz equation in $\mathbb{R}^d$ when I found this answer. Here, and in some other places, it is stated that Hankel functions represent ...
2
votes
0
answers
41
views
Conditions for scattering of evanescent waves?
In this monograph internal reflection spectroscopy, the author makes the case that the evanescent wave cannot decouple from the surface and be scattered away from the interface (even in the presence ...
- 171