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Efficient propagation algorithm for 3D optical waveguides

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TLDR
In this paper, the authors extended free space radiation mode (FSRM) method to the analysis of dielectric waveguide discontinuities and propagation in fully three dimensional structures.
Abstract
The well established free space radiation mode (FSRM) method is extended to the analysis of dielectric waveguide discontinuities and propagation in fully three dimensional structures. Unlike beam propagation methods (BPM) the method intrinsically incorporates continuous reflections and is inherently wide angled in nature. Results are given for a representative selection of practical structures, such as single and double step discontinuities and tapers, for both TE and TM polarisations. The method is computationally efficient with minimal memory requirements.

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Citations
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Journal ArticleDOI

Finite-difference-based mode-matching method for 3-D waveguide structures under semivectorial approximation

TL;DR: In this article, a finite difference-based mode-matching method (FD-MMM) is developed and demonstrated for 3D optical waveguide structures with arbitrary index profiles and multiple scattering interfaces along the waveguide axis.
Journal ArticleDOI

3-D Full-Vectorial Analysis of Strong Optical Waveguide Discontinuities Using Pade Approximants

TL;DR: In this paper, a full-vectorial 3D numerical method applicable to high-index contrast optical waveguide discontinuities is presented, where the biconjugate gradient stabilized method is utilized to iteratively calculate the reflected and transmitted fields.
Journal ArticleDOI

An Optical Mode-Matching Method With Improved Accuracy and Efficiency

TL;DR: In this paper, the authors proposed an alternate, superior mode-matching method implemented by reconstruction of the auxiliary coefficient matrix, rather than by applying the abovementioned continuity and orthogonality.
Journal ArticleDOI

Efficient curvature analysis of buried waveguides

TL;DR: In this article, the authors extended the free space radiation mode method for determining the lossy modes of curved buried semiconductor waveguides with an accuracy comparable to that of more computationally intensive methods.
Journal ArticleDOI

A versatile method for analyzing paraxial optical propagation in dielectric structures

TL;DR: In this article, a fast and accurate quasi-analytic model for studying optical field propagation in weakly guiding dielectric structures is presented by merging the Hermite-Gauss (HG) total field expansion with the numerical collocation method.
References
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Journal ArticleDOI

Light propagation in graded-index optical fibers

TL;DR: An accurate numerical method is described for solving the Helmholtz equation for a general class of optical fibers and yields detailed information about the spatial and angular properties of the propagating beam as well as the modal propagation constants for the fiber.
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An assessment of finite difference beam propagation method

TL;DR: In this article, a finite-difference beam propagation method (FD-BPM) is outlined and assessed in comparison with conventional beam propagation methods which use fast Fourier transformation.
Journal ArticleDOI

Field and Network Analysis of Interacting Step Discontinuities in Planar Dielectric Waveguides

TL;DR: In this paper, the authors derived an accurate finite network description for planar dielectric waveguide cascades, either finite or infinite, periodic or aperiodic, which takes account also of the continuous spectrum.
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Full vector analysis of two-dimensional angled and coated optical waveguide facets

TL;DR: In this article, the effects of both antireflection coatings and facet angle were analyzed for two-dimensional (2D) optical waveguide facets, including the effect of the angle of the facet.
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