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Single-mode optical waveguides and directional couplers with rectangular cross section: a simple and accurate method of analysis
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TLDR
In this article, a new method for obtaining the propagation characteristics of single-mode optical waveguides with rectangular cross section is presented, which is based on the scalar variational principle using the cosineexponential trial field.Abstract:
A new method for obtaining the propagation characteristics of single-mode optical waveguides with rectangular cross section is presented. The method is based on the scalar variational principle using the cosine-exponential trial field. This form of trial field leads to the definition of equivalent guiding structures consisting of homogeneous slab waveguides, which are then used to obtain, in a very simple way, the vector modes of a rectangular waveguide and the coupling characteristics of directional couplers consisting of two rectangular waveguides. The authors have also included the results of some representative calculations along with the results obtained using other approximate methods and the exact numerical method. A comparison shows that the method is much more accurate than the existing approximate methods, particularly in the region of single-mode operation. >read more
Citations
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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.
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
TL;DR: 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.
Journal ArticleDOI
Wave-matching method for mode analysis of dielectric waveguides
TL;DR: In this paper, the cross-section of a longitudinally homogeneous dielectric waveguide is decomposed into rectangles with constant permittivity, and the wave equation for modal fields is solved analytically by expanding into functions with harmonic or exponential dependence on the transverse coordinates.
Journal ArticleDOI
On the scalar modal analysis of optical waveguides using approximate methods
TL;DR: In this article, the authors discussed the approximate methods used for obtaining scalar guided modes of optical waveguides, including the perturbation method, the variational method including the Rayleigh-Ritz method, and the Galerkin and the collocation method.
Journal ArticleDOI
Variational analysis of single-mode inhomogeneous planar optical waveguide
TL;DR: In this paper, some trial fields are proposed for obtaining the propagation characteristics of single-mode inhomogenous planar waveguides, based on the scalar variational principle.
References
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Journal ArticleDOI
Optical strip waveguide: a detailed analysis including leaky modes
TL;DR: In this paper, the propagation properties of strip waveguides are analyzed by a mode-matching technique and the attenuation constants of the first three leaky modes are presented as a function of the strip width.
Journal ArticleDOI
Variational analysis of optical waveguides with rectangular cross section.
S Akiba,Hermann A. Haus +1 more
TL;DR: A variational method is employed to analyze optical waveguides and it is shown that the variational analysis gives the propagation constants to higher accuracy than the accuracy of the test fields.
Journal ArticleDOI
A new theory of rectangular optical waveguides
TL;DR: In this article, a new theoretical treatment of the dispersion theory for rectangular optical waveguides is presented, and the theoretical basis of the effective dielectric constant method is investigated, and how corrections can be calculated systematically.
Journal ArticleDOI
Coupling characteristics of a diffused channel-waveguide directional coupler
TL;DR: In this article, a theoretical model to calculate the coupling constant of a diffused channel-waveguide directional coupler is presented, taking into account the variation of refractive index both along the surface and perpendicular to the surface of the waveguide.
Journal ArticleDOI
Scalar Variational Analysis of Single-Mode Waveguides with Rectangular Cross Section (Short Papers)
TL;DR: In this paper, a variational method was used to analyze single-mode optical waveguides with rectangular cross-section and showed that it gives much better results and involves less computational effort as compared to other trial functions.