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The perfectly matched layer boundary condition for modal analysis of optical waveguides: leaky mode calculations

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TLDR
In this article, the perfectly matched layer (PML) boundary condition is applied to modal analysis for optical waveguides and demonstrated that the PML is suitable and effective in computation of leaky modes.
Abstract
The perfectly matched layer (PML) boundary condition is applied to modal analysis for optical waveguides. It is demonstrated that the PML is suitable and effective in computation of leaky modes.

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Citations
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Journal ArticleDOI

Leaky and bound modes of surface plasmon waveguides

TL;DR: In this paper, a full-vectorial, magnetic field finite-difference method with complex coordinate stretching perfectly matched layer boundary conditions was used to solve for both the leaky and bound modes of metallic slab and stripe waveguides.
Journal ArticleDOI

The failure of perfectly matched layers, and towards their redemption by adiabatic absorbers.

TL;DR: The fundamental connection between reflections and the smoothness of the absorption profile via coupled-mode theory is demonstrated, and it is shown how to obtain higher-order and even exponential vanishing of the reflection with absorber thickness.
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Metal–Dielectric Slot-Waveguide Structures for the Propagation of Surface Plasmon Polaritons at 1.55 $\mu{\hbox {m}}$

TL;DR: In this article, the authors investigated the intrinsic tradeoffs and suggested solutions to substantially increase the propagation length of surface plasmon polaritons combining high-index dielectrics and metal structures.
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Computation of full-vector modes for bending waveguide using cylindrical perfectly matched layers

TL;DR: In this paper, a new full-vector approach to calculate leaky modes on three-dimensional bending waveguides is developed and demonstrated with the help of the cylindrical perfectly matched layer (CPML) numerical boundary conditions.
Journal ArticleDOI

Polarization rotation in semiconductor bending waveguides: a coupled-mode theory formulation

TL;DR: In this article, a theoretical model for the bending waveguide polarization rotator has been developed based on the full vectorial wave equations and the coupledmode theory, which is found to agree favorably with measurement data reported in literature.
References
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Journal ArticleDOI

A perfectly matched layer for the absorption of electromagnetic waves

TL;DR: Numerical experiments and numerical comparisons show that the PML technique works better than the others in all cases; using it allows to obtain a higher accuracy in some problems and a release of computational requirements in some others.
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Validation and extension to three dimensions of the Berenger PML absorbing boundary condition for FD-TD meshes

TL;DR: In this article, a novel absorbing boundary condition (ABC) for FD-TD meshes in two dimensions, called the "perfectly matched layer (PML) for the absorption of electromagnetic waves", was proposed.

Semivectorial polarised finite difference method for optical waveguides with arbitrary index profiles

TL;DR: In this paper, a simple accurate method, which automatically takes full account of the discontinuities in the normal electric field components across any arbitrary distribution of internal dielectric interfaces, is presented for the determination of polarised solutions of the Helmholtz wave equation.
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Perfectly matched absorbing boundary conditions based on anisotropic lossy mapping of space

TL;DR: An absorbing boundary condition (ABC), based on the PML BBC of Berenger (1994), used in the frequency domain to terminate the computational grid in electromagnetic scattering simulations is presented, using an impedance-matched lossy layer with directionally-dependent electric and magnetic conductivity.
Journal ArticleDOI

Review of numerical and approximate methods for the modal analysis of general optical dielectric waveguides

TL;DR: Numerical and approximate methods for the modal analysis of general optical dielectric waveguides with emphasis on recent developments are reviewed, ranging from the specialized ones for analysing restricted classes of waveguide to the most general ones for analyseing inhomogeneous, arbitrarily-shaped, anisotropic waveguiding.