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Related Experiment Video

Updated: Jun 19, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

Explicit finite-difference vector beam propagation method based on the iterated Crank-Nicolson scheme.

Traianos V Yioultsis¹, Giannis D Ziogos, Emmanouil E Kriezis

¹Department of Electrical and Computer Engineering, Aristotle University of Thessaloniki, GR-54124 Thessaloniki, Greece.

Journal of the Optical Society of America. A, Optics, Image Science, and Vision

|October 3, 2009

Summary

A new explicit vector beam propagation method, based on the Crank-Nicolson scheme, offers a fast, robust, and versatile solution for complex optical simulations, overcoming limitations of implicit methods.

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Published on: July 19, 2016

Area of Science:

Computational physics and optics
Numerical methods in electromagnetics

Background:

Implicit beam propagation methods face challenges with convergence and memory usage for large-scale problems.
Accurate simulation of light propagation in complex optical systems is crucial for device design.

Purpose of the Study:

To develop a novel explicit vector beam propagation method.
To overcome the limitations of existing implicit methods in terms of speed, robustness, and memory efficiency.

Main Methods:

The study introduces an explicit vector beam propagation method.
This method is based on the iterated Crank-Nicolson scheme, a technique from computational relativity.
The approach is validated by analyzing a multimode interference coupler and a twin-core photonic crystal fiber.

Main Results:

The developed method is fast, robust, simple, efficient, and versatile.
It avoids the convergence and memory issues associated with implicit methods.
The method successfully tackles problems of considerable size and complexity.

Conclusions:

The new explicit vector beam propagation method provides a superior alternative to implicit methods.
It enables efficient and accurate simulation of complex optical phenomena.
A potential wide-angle generalization of the method is also presented.