13. References

13.1. Scalar algorithms

RS

Shen, F. & Wang, A. “Fast-Fourier-transform based numerical integration method for the Rayleigh-Sommerfeld diffraction formula,” Appl. Opt. 45, 1102–1110 (2006).

PWD

Kozacki, T. “Numerical errors of diffraction computing using plane wave spectrum decomposition,” Opt. Comm. 281 4219-4233 (2008).

CZT

Bluestein, L., “A linear filtering approach to the computation of the discrete Fourier transform,” Northeast Electronics Research and Engineering Meeting Record 10, 218-219 (1968).
Hu Y. et al. “Efficient full-path optical calculation of scalar and vector diffraction using the Bluestein method” Light: Science & Applications 9(119) (2020)

WPM

Brenner K.H., Singer W. , “Light propagation through micro lenses: a new simulation method”, Appl. Opt., 32(6) 4984-4988 (1993).
Schmidt S. et al. “Wave-optical modeling beyond the thin-element-approximation” Opt. Express 24, 30188 (2016).
Brenner K.H. “A high-speed version of the wave propagation method applied to micro-optics.” 16th Workshop on Information Optics (WIO). IEEE (2017)
Schmidt S. et al. “Rotationally symmetric formulation of the wave propagation method-application to the straylight analysis of diffractive lenses” Opt. Lett. 42, 1612 (2017).

13.2. Scalar algorithms

VFFT

Kornél J. and Bokor N., 2010. “Intensity Control of the Focal Spot by Vectorial Beam Shaping.” Optics Communications 283 (24): 4859–65. https://doi.org/10.1016/j.optcom.2010.07.030.

VRS

Ye, H. et al. “Creation of a longitudinally polarized subwavelength hotspot with an ultra-thin planar lens: Vectorial Rayleigh-Sommerfeld method” Laser Phys. Lett. 10, (2013).

VCZT

Leutenegger M. et al. “Fast focus field calculations” Optics Express 14(23) 11277 (2006).
Hu Y. et al. “Efficient full-path optical calculation of scalar and vector diffraction using the Bluestein method” Light: Science & Applications 9(119) (2020)

FPWPM

Wende M. et al. “Fast algorithm for the simulation of 3D-printed microoptics based on the vector wave propagation method”. Opt Express. 30(22) 40161-40173 (2022)
Wende M. et al. “Fast vector wave optical simulation methods for application on 3D-printed microoptics,” Journal of Optical Microsystems 4(2), 024501 (2024).

13.3. sources

beam_width_1d (X): https://en.wikipedia.org/wiki/Beam_diameter
beam_width_4s (XY): https://en.wikipedia.org/wiki/Beam_diameter
http://www.auniontech.com/ueditor/file/20170921/1505982360689799.pdf
vector fields (XY): Qwien Zhan ‘Vectorial Optical Fields’

13.4. Masks

Aspheric (X): https://www.edmundoptics.com/knowledge-center/application-notes/optics/all-about-aspheric-lenses/
Superellipse (XY): https://en.wikipedia.org/wiki/Superellipse
Superformula (XY): Gielis, J. “A Generic Geometric Transformation that Unifies a Wide Range of Natural and Abstract Shapes.” Amer. J. Botany 90, 333-338, 2003.
Roughness_1D (X), Roughness_2D (XY): JA Oglivy “Theory of wave scattering from random surfaces” Adam Hilger p.224.

13.5. Util_optics

MTF: https://www.edmundoptics.com/resources/application-notes/optics/introduction-to-modulation-transfer-function/strehl_ratio

13.6. Other References

J.W. Goodman, “Introduction to Fourier Optics” McGraw-Hill, 1996.
B.E. Saleh y M. C. Teich, “Fundamentals of photonics” John Wiley & Sons, 2019.
Z.Qiwen, “Vectorial optical fields: Fundamentals and applications” World scientific, 2013.
“Numerical Methods in Photonics Lecture Notes”. http://ecee.colorado.edu/~mcleod/teaching/nmip/lecturenotes.html.