Numerical experiments using the paraxial finite-difference beam propagation method have been performed with the following boundary conditions: perfectly matched layer, Higdon absorbing boundary conditions, complementary operators method, and extended complementary operators method. We have shown that Higdon operators must be modified for the paraxial wave equation to take into account the spectrum of incident rays on the boundaries of the computational domain. Reflection coefficients, accuracy, numerical dissipation/gain, memory requirements, and time computation are compared and discussed for these absorbing techniques.
© 2001 Optical Society of America
Original Manuscript: October 17, 2000
Revised Manuscript: January 19, 2001
Manuscript Accepted: January 19, 2001
Published: August 1, 2001
David Jiménez and Francesc Pérez-Murano, "Comparison of highly efficient absorbing boundary conditions for the beam propagation method," J. Opt. Soc. Am. A 18, 2015-2025 (2001)