Optics & Photonics

Zifeng Li's code for Optics Simulations, also include some Comsol (FEM Software) files, you can find some classic topics, including Photonic Crystal & WaveGuids, Fivers, Cavity, Nonlinear Optics, Fourier Optics

What can you learn?

Diveinto professional Python Coding Skills and useful physics(Optics) simulation skills, you will know how to do high performance computation tasks using powerful tools including numpy, scipy, pytorch and useful visualization tool including matplotlib, seaborn

What the code is?

This code base privide some simulations based on fundamental formulars. For example, for Waveguides (fiber is a special kind of waveguids, which has the same Eq but different requirements and targets), we can get helmholtz Eq from Maxwell Eq:

$$ \begin{align} \left[\nabla_T^2 + (\frac{n(x,y)^2\omega^2}{c_0^2} - \beta^2 )\right] U(x,y) &= 0 \\ U(x,y,z) &= U(x,y) e^{-j\beta z} \end{align} $$

In discrete form, it can be turned to a eigenvalue question:

$$ A_{m,n} \phi_n = \lambda \phi_m $$

which can be solved using scipy.linalg,

If you divinto this question,you will find that I use scipy.sparse.linalg because of almost 90% lements for the Matrix $A_{m,n}$ is zero, the reason for that is now up for grabs waiting for you.

How to use this code?

You are strongly recommended learning and rebuilding this code base, when you are learning, (after you have learned) Electron Dynamics(电动力学)，and Computational Physica(计算物理)