PRProp3D 0.3.4

photorfractive propagator for CPU and GPU

PRProp3D

PRProp3D is a scalar nonlinear optical forward beam propagation package that will run with or without GPU support. It uses the torch package only to determine the availability of a suitable GPU. It was developed to enable modelling of photorefractive nonlinear optical effects such as two beam coupling, image amplification and beam fanning. Full details of the package performance including application to image amplification and solitons can be found at Three-Dimensional Scalar Time-Dependent Photorefractive Beam Propagation Model

Features

• Static and time dependent implementations.
• Runs on GPU or CPU.
• Images may be applied to the beams
• The effects of externally applied bias fields can be investigated

Installation

You can install the package via PyPI or from source.

Install from PyPI

requires torch for detecting presence of GPU

pip install PRProp3D

Install from Source (GitHub)

git clone https://github.com/mcroning/PRProp3D_package.git
cd PRProp3D_package
pip install .

Usage

After installation the following methods will be available:

propagate(prdict,outputs) Static steady state propagation

• inputs:
  • prdict: dictionary of input parameters such as wavelength
  • outputs: list of requested output arrays
    • 'ampxz', 'dnxz'
• returns: amp,derived,outputs
  • amp: complex amplitude of output field
  • derived: class containing derived objects used in calculation such as the input amplitude amp0
  • outputs: class containing requested output arrays, calculated gain, and objects useful for postprocessing

propagate_t(prdict,outputs) Time dependent propagation

• inputs
  • prdict: dictionary of input parameters such as wavelength
  • outputs: list of requested output arrays
    • 'ampxzt', 'dnxzt', 'ampxyt', 'dnxyt'
• returns: amp,derived,outputs
  • amp: complex amplitude of output field at end time
  • derived: class containing derived objects used in calculation such as the input amplitude amp0
  • outputs: class containing requested output arrays, calculated gain vs time, and objects useful for postprocessing

gain(amp,prdict,derived) Function for calculating two beam coupling gain

• inputs
  • amp: transverse xy complex amplitude on which to calculate gain
  • prdict: (defined above)
  • derived: (defined above)
• returns gain,amps
  • gain: two beam coupling gain
  • amps: list containing separated complex amplitudes for imput and output beams
    • [ampp,ampm,amp0p,amp0m] (beams 1 and 2 outputs, beams 1 and 2 outputs)

The simple example below proptest.py and another which allows images to be loaded on the beams proptest_full.py are avalable at the Github repository

Example: Two beam coupling of Gaussian Beams

The following example show the use of the package for two interacting gaussian beams at steady state. The beam ratio is 6.67, the coupling constant length product is -3, the angle of incidence of beam 1 is 0.16 radians, that of beam 2 is -0.16 radians. The beam waists are 100 $\mu$m and they cross halfway through the interaction length. from PRProp3D import * import matplotlib import matplotlib.pyplot as plt import numpy as np import torch

prdict={
'gl':-3, 
'rat':6.67,
'image_on_beam':'No Image',
'image_type':'real image',
'image_size_factor':1,
'external_image':'',
'std_image':'MNIST 0',
'image_invert':False,
'noisetype':'none',
'sigma':0.4,
'eps':0.02,
'kt':0,
'xaper':1000,
'yaper':1000,
'xsamp':4096,
'ysamp':512,
'rlen':4000,
'dz':20,
'lm':0.633,
'w01':100,
'w02':100,
'thout1':0.16,
'thout2':-0.16,
'phi1':0,
'phi2':0,
'backpropagate':False,
'time_behavior':'Static',
'tend':1,
'tsteps':12,
'use_cons_tsteps':False,
'batchnum_spec':1,
'fanning_study':False,
'use_old_seeds':False,
'folder':'',
'savedata':False,
'epsr':2500,
'NT':6.4e22,
'T':293,
'refin':2.4,
'Id':0.01,
'windowedge':0.1,
'E_app':0,
'skip':4,
'arrin':[],
'planewave':False
}

if  prdict['w01'] < 0 or prdict['w02'] < 0: #we are using plane waves, so force periodic conditions

  fc=prdict['xsamp']*prdict['lm']/2/prdict['xaper']
  prdict['thout1']=np.arcsin(fc/(2**round(np.log(
    fc/np.sin(abs(prdict['thout1'])))/np.log(2))))*np.sign(prdict['thout1'])
  prdict['thout2']=-prdict['thout1']
  prdict['windowedge']=0


# call propagator to popagate input
amp,derived,output=propagate(prdict,outputs=['ampxz','dnxz'])

print('calculated gain',output.gainout.gain)
imoutp=np.rot90(abs(output.gainout.ampp)**2,k=3)
imoutm=np.rot90(abs(output.gainout.ampm)**2,k=3)

iminp=np.rot90(abs(output.gainout.amp0p)**2,k=3)
iminm=np.rot90(abs(output.gainout.amp0m)**2,k=3)

xaper=prdict['xaper']
yaper=prdict['yaper']
xsamp=prdict['xsamp']
ysamp=prdict['ysamp']

fig1,ax1 = plt.subplots(1,2)
ax1[0].set_title('Beam 1 in')
ax1[0].set_xlabel(r'x ($\mu$m)')
ax1[0].set_ylabel(r'y ($\mu$m)')

im=ax1[0].imshow(iminp,extent=[-xaper//2,xaper//2,-yaper//2,yaper//2])
fig1.colorbar(im,ax=ax1[0],shrink=0.5)  
ax1[1].set_title('Beam 2 in')  
ax1[1].set_xlabel(r'x ($\mu$m)')
ax1[1].set_ylabel(r'y ($\mu$m)')
im=ax1[1].imshow(iminm,extent=[-xaper//2,xaper//2,-yaper//2,yaper//2]) 
fig1.colorbar(im,ax=ax1[1],shrink=0.5)
fig1.tight_layout()

fig2,ax2 = plt.subplots(1,2)
ax2[0].set_title('Beam 1 out')
ax2[0].set_xlabel(r'x ($\mu$m)')
ax2[0].set_ylabel(r'y ($\mu$m)')
im=ax2[0].imshow(imoutp,extent=[-xaper//2,xaper//2,-yaper//2,yaper//2])
fig2.colorbar(im,ax=ax2[0],shrink=0.5)  
ax2[1].set_title('Beam 2 out') 
ax2[1].set_xlabel(r'x ($\mu$m)')
ax2[1].set_ylabel(r'y ($\mu$m)')
im=ax2[1].imshow(imoutm,extent=[-xaper//2,xaper//2,-yaper//2,yaper//2]) 
fig2.colorbar(im,ax=ax2[1],shrink=0.5)
fig2.tight_layout()

fig3,ax3 = plt.subplots()
ax3.plot(derived.x,iminp[ysamp//2,:])
ax3.plot(derived.x,iminm[ysamp//2,:])
ax3.set_xlabel('transverse x microns')
ax3.set_ylabel('normalized intensity')
ax3.legend(['beam1', 'beam2'])
ax3.set_ylim(0,1)
ax3.set_title('input')

fig4,ax4 = plt.subplots()
ax4.plot(derived.x,imoutp[ysamp//2,:])
ax4.plot(derived.x,imoutm[ysamp//2,:])
ax4.set_xlabel('transverse x microns')
ax4.set_ylabel('normalized intensity')
ax4.legend(['beam 1', 'beam2'])
ax4.set_title('output')

plt.show()

If you run this code, you shouls see the following output:
elapsed time 44.696675062179565 calculated gain 1.3683214544947206

The calculated gain is less than the nominal gain because the beams have waists of only 100 $\mu$m and have 0.16 radian half angle between them so they interact for only about half of the 4mm long propagation. The elapsed time on an Apple silicon M1 Pro is 47 seconds. It is more than 100 times faster on an INVIDIA Tesla A100 GPU (0.42 seconds)

The ouput images data chosen for this case are reproduced below:

Input intensity xy cross section Output intensity xy cross section Input beam profile Output beam profile