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2 votes
0 answers
44 views

How are frequency combs obeying the energy conservation?

The operational principle of frequency combs is that you generate very short pulses (in time domain), and that in the frequency domain (due to Fourier's transform) the spectrum of such pulses is a ...
user46147's user avatar
  • 3,034
2 votes
1 answer
361 views

How to solve this wave equation using Fourier Transform?

I have the following wave equation: $$\frac{\partial}{\partial x}\left(\frac{1}{l(x)}\frac{\partial}{\partial x}V(x,t)\right)=c(x)\frac{\partial ^2}{\partial t^2}V(x,t)$$ where $l(x)$, $c(x)$ and $V(x,...
Siddhant Singh's user avatar
0 votes
0 answers
42 views

What distribution shape does this broadband signal have if the bandwidth changes?

In the Lumerical tool, I'm simulating a setup using a broadband dipole signal. It is (or should be) centered at $\lambda=$ 922.5 nm and has various bandwidths $\Delta \lambda$ for different ...
Joep Nieuwdorp's user avatar
2 votes
2 answers
1k views

Fourier Optics - Impulse Response of Free Space from Fresnel Transfer Function

I am currently reading the chapter "Fourier Optics" in the book "Fundamentals of Photonics" by Saleh and Teich. However I am not able to follow one specific mathematical derivation. On page 111 the ...
cakelover's user avatar
  • 247
0 votes
1 answer
181 views

How can I take the Fourier Transform in the derivation of the Lorentz model? [closed]

How would one take the Fourier Transform of $$ m\frac{d^2x}{dt^2}+m\omega_0^2 x + m\Gamma \frac{dx}{dt} = -eE $$ to get $$ -m\omega^2 x+m\omega_0^2 x + jm\omega\Gamma x = -eE $$ This is in our class ...
Jmeeks29ig's user avatar
2 votes
1 answer
2k views

What is the relationship between directions in reciprocal and real space of a photonic crystal?

I am reading "Photonic crystals - molding the flow of light" by Joannopoulos et al. (available on-line). The figures below are reproduced from there. This is a diagram of a triangular lattice of air ...
alkamid's user avatar
  • 438