Optical Diffraction and Interference (scalar and vectorial)
Project description
Python Diffraction-Interference module
Free software: MIT license
Documentation: https://diffractio.readthedocs.io/en/latest/
Features
Diffratio is a Python library for Diffraction and Interference Optics.
It implements Scalar Optics. The main algorithms used are Rayleigh Sommerfeld (RS), Beam Propagation Method (BPM) and Fast Fourier Transform (FFT). When possible, multiprocessing is implemented for a faster computation.
The scalar propagations techniques are implemented to:
X - fields are defined in the x axis.
XZ - fields are defined in the xz plane, being z the propagation direction.
XY - fields are defined in the xy transversal plane.
XYZ - fields are defined in the xyz volume.
Each technique present three modules:
sources: Generation of light.
masks: Masks and Diffractive Optical elements.
fields: Propagation techniques, parameters and general functions.
Sources
One main part of this software is the generation of optical fields such as:
Plane waves.
Spherical waves.
Gaussian beams.
Bessel beams.
Aberrated beams.
Also, in the XY module the following sources are defined:
Vortex beams.
Laguerre beams.
Hermite-Gauss beams.
Zernike beams.
Bessel beams.
Masks
Another important part of Diffractio is the generation of masks and Diffractive Optical Elements such as:
Slits, double slits
Lenses, diffractive lenses, aspherical lenses.
Gratings, prisms, biprism
Rough surfaces, dust ks are defined as plane. However, in the XZ and XYZ frames, volumetric mask are also defined.
Fields
In these module, algorithms for propagation of light are implemented. We have implemented the following algorithms for light propagation:
Rayleigh-Sommerfeld (RS) which allows in a single step to propagate to a near or far observation plane, which allows fast computations. The fields and the masks must be defined in a plane.
Beam propagation method (BPM) which allows to analyze the propation of light in volumetric elements, such as spheres, cylinders and other complex forms.
Fast Fourier Transform (FFT) which allows, in a single step to determine the field at the far field.
The fields, masks and sources can be stored in files,
Also drawings can be easily obtained, for intensity, phase, fields, etc.
In some modules, videos can be generated for a better analysis of optical fields.
Other features
Intensity, MTF and other parameters are obtained from the optical fields.
Fields can be added and interference is produced. Masks can be multiplied, added and substracted in order to make complex structures
Resampling fields in order to analyze only areas of interest.
Save and load data for future analysis.
Rayleigh-Sommerfeld implementation is performed in multiprocessing for fast computation.
Polychromatic and extended source problems can also be analyzed using multiprocessing.
Citing
L.M. Sanchez Brea, “Diffratio, python module for diffraction and interference optics”, https://pypi.org/project/diffractio/ (2019)
References
Shen and A. Wang, “Fast-Fourier-transform based numerical integration method for the Rayleigh-Sommerfeld diffraction formula,” Appl. Opt., vol. 45, no. 6, pp. 1102–1110, 2006.
Engineering optics with matlab”
Fast Bessel and Hankle functions: https://dlmf.nist.gov/10.2#E5
Beam width: https://en.wikipedia.org/wiki/Beam_diameter
JA Oglivy “Theory of wave scattering from random surfaces” Adam Hilger
Credits
This package was created with Cookiecutter and the audreyr/cookiecutter-pypackage project template.
History
0.0.0 (2017-01-01)
Pre-alpha state.
I have been developing and using the module diffractio for at least 5 years for teaching and research. It was in python2 version and not completely clear.
0.0.1 (2019-02-09)
Pre-alpha state.
Modules are passed to python3.
0.0.2 (2019-10-01)
Alpha state
copyreg removed (previous not worked)
change fft to scipy: “from scipy.fftpack import fft, ifft, fftshift”
First release on PyPI in pre-alpha state.
Modules = 9/10.
Functions = 9/10.
Tutorial = 7/10.
Examples = 4/10.
Tests = 8/10.
Drawing = 8/10.
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