Abstract

We describe a new class of transparent boundary conditions for beam-propagation simulation. The method is based on a transformation that breaks the original real-axis computational domain into a piecewise linear complex-plane contour, with higher-order analogues of Riemann–Cauchy conditions imposed at sharp corners of the contour. The resulting boundary conditions are extremely effective in terminating outgoing waves, and are easy to implement in an arbitrary beam-propagation method.

© 2014 IEEE

Evidence of asymmetric beaming in a piecewise-linear propagation channel

T. F. Gundogdu, M. Gokkavas, A. E. Serebryannikov, and E. Ozbay
Opt. Lett. 46(12) 2928-2931 (2021)

Nonlinear wide-angle beam propagation method using complex Jacobi iteration in the Fourier domain

Rafael Godoy-Rubio, Sebastián Romero-García, Alejandro Ortega-Moñux, and J. Gonzalo Wangüemert-Pérez
J. Opt. Soc. Am. B 28(9) 2142-2148 (2011)

Complex modes and instability of full-vectorial beam propagation methods

Huan Xie, Wangtao Lu, and Ya Yan Lu
Opt. Lett. 36(13) 2474-2476 (2011)

Surface plasmon-polariton propagation in piecewise linear chains of composite nanospheres: The role of optical gain and chain layout

Indika B. Udagedara, Ivan D. Rukhlenko, and Malin Premaratne
Opt. Express 19(21) 19973-19986 (2011)

Comparison of highly efficient absorbing boundary conditions for the beam propagation method

David Jiménez and Francesc Pérez-Murano
J. Opt. Soc. Am. A 18(8) 2015-2025 (2001)