7.5.3. Laguerre doughnut modes.

#! /usr/bin/env python
"""
GaussLaguerre_doughnut.py

    Calculates the intensity- and phase distributions of
    Laguerre-Gauss doughnut laser modes.

    cc Fred van Goor, May 2020.
"""
from LightPipes import *
import matplotlib.pyplot as plt
if LPversion < "2.0.0":
    print(r'You need to upgrade LightPipes to run this script.' + '\n'+r'Type at a terminal prompt: $ pip install --upgrade LightPipes')
    exit(1)

wavelength = 500*nm
size = 15*mm
N = 200
w0=3*mm
i=0

m_max=6
fig, axs = plt.subplots(nrows=2, ncols=m_max,figsize=(11.0,5.0))
s=r'Doughnut laser modes'
fig.suptitle(s)
F=Begin(size,wavelength,N)
n=0
for m in range(1,m_max+1):
    F=GaussBeam(F, w0, doughnut=True, n=n, m=m)
    I=Intensity(0,F)
    Phi=Phase(F)
    s=f'$LG_{n}$' + f'$_{m}$' + '$_*$'
    axs[0][m-1].imshow(I,cmap='jet'); axs[0][m-1].axis('off'); axs[0][m-1].set_title(s)
    axs[1][m-1].imshow(Phi,cmap='rainbow'); axs[1][m-1].axis('off');
plt.show()

(Source code, png, hires.png, pdf)