For numerical modeling of optical wave-guiding structures, perfectly matched layers (PMLs) are widely used to terminate the transverse variables of the waveguide. The PML modes are the eigenmodes of a waveguide terminated by PMLs, and they have found important applications in the mode matching method, the coupled mode theory, and so on. In this paper, we consider PML modes for two-dimensional slab waveguides. It is shown that the PML modes consist of perturbed propagating modes, perturbed leaky modes, and two infinite sequences of Berenger modes. High-order asymptotic solutions for the Berenger modes are derived using a systematic approach.
© 2013 Optical Society of America
Original Manuscript: August 12, 2013
Manuscript Accepted: September 2, 2013
Published: September 23, 2013
Jianxin Zhu and Ya Yan Lu, "Asymptotic solutions of eigenmodes in slab waveguides terminated by perfectly matched layers," J. Opt. Soc. Am. A 30, 2090-2095 (2013)