fundamentals of optical waveguides
a dielectric medium: \[ \nabla^2 E + k^2 n^2(x, y) E = 0 \] Where: \( E \) is the electric field, \( k = 2\pi / \lambda \) is the free-space wave number, \( n(x, y) \) is the refractive index distribution. Solutions to this equation yield discrete modes with specific propagation consta