Journal ArticleDOI
Domain integral equation analysis of integrated optical channel and ridge waveguides in stratified media
E.W. Kolk,N.H.G. Baken,H. Blok +2 more
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TLDR
In this article, a domain integral equation approach to computing both the propagation constants and the corresponding electromagnetic field distributions of guided waves in an integrated optical waveguide is discussed, and numerical results for various channel and ridge waveguides are compared with those of other methods where possible.Abstract:
A domain integral equation approach to computing both the propagation constants and the corresponding electromagnetic field distributions of guided waves in an integrated optical waveguide is discussed. The waveguide is embedded in a stratified medium. The refractive index of the waveguide may be graded, but the refractive indices of the layers of the stratified medium are assumed to be piecewise homogeneous. The waveguide is regarded as a perturbation of its embedding, so the electric field strength can be expressed in terms of domain integral representation. The kernel of this integral consists of a dyadic Green's function, which is constructed using an operator approach. By investigating the electric field strength within the waveguide, it is possible to derive an integral equation that represents an eigenvalue problem that is solved numerically by applying the method of moments. The application of the domain integral equation approach in combination with a numerically stable evaluation of the Green's kernel functions provides a new and valuable tool for the characterization of integrated optical waveguides embedded in stratified media. Numerical results for various channel and ridge waveguides are presented and are compared with those of other methods where possible. >read more
Citations
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Journal ArticleDOI
Multilayered media Green's functions in integral equation formulations
TL;DR: In this paper, a compact representation of the electric and magnetic-type dyadic Green's functions for plane-stratified, multilayered, uniaxial media based on the transmission-line network analog along the aids normal to the stratification is given.
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.
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Allowed and forbidden light in near-field optics. I. A single dipolar light source
TL;DR: In this article, the radiation of an arbitrarily oriented dipole located above a planarly layered structure is investigated, and the properties of the layer are varied in order to study the influence on far-field radiation.
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Iterative scheme for computing exactly the total field propagating in dielectric structures of arbitrary shape
TL;DR: In this paper, the authors present a new approach to the computation of an electrical field propagating in a dielectric structure, using the Green's-function technique to compute an exact solution of the wave equation.
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Method of lines for the analysis of dielectric waveguides
U. Rogge,Reinhold Pregla +1 more
TL;DR: In this paper, the authors apply the method of lines (MoL) to the analysis of general dielectric waveguides that are uniform along the direction of propagation, lossfree, and passive.
References
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Journal ArticleDOI
A circular-harmonic computer analysis of rectangular dielectric waveguides
TL;DR: In this article, a computer analysis of the propagating modes of a rectangular dielectric waveguide is presented, based on an expansion of the electromagnetic field in terms of a series of circular harmonics multiplied by trigonometric functions.
Journal ArticleDOI
Electric dyadic Green's functions in the source region
TL;DR: In this paper, a straightforward approach that does not involve delta-function techniques is used to rigorously derive a generalized electric dyadic Green's function which defines uniquely the electric field inside as well as outside the source region.
Journal ArticleDOI
Single-mode optical waveguides.
TL;DR: An efficient and powerful technique has been developed to treat the problem of wave propagation along arbitrarily shaped single-mode dielectric waveguides with inhomogeneous index variations in the cross-sectional plane based on a modified finite-element method.
Journal ArticleDOI
Microwave thermal emission from a stratified medium with nonuniform temperature distribution
TL;DR: In this paper, the brightness temperature of a stratified medium with inhomogeneous permittivities and non-uniform temperature profiles is solved using the dissipation-fluctuation approach.
Journal ArticleDOI
The Method of Moments in Electromagnetics
TL;DR: The method of moments as discussed by the authors is a generic name given to projective methods in which a functional equation in an infinite dimensional function space is approximated by a matrix equation in a finite dimensional subspace.