Journal ArticleDOI
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
Analysis of optical filtering in waveguides with a high index modulation using the extended coupled mode theory by hybridization of a matrix method
TL;DR: In this paper, a hybrid approach for the analysis of the optical filtering function in corrugated waveguide filters with a high index modulation is presented, based on the hybridization of the extended couple mode theory (CMT) with the transfer matrix approach.
Journal ArticleDOI
On approximate theories of single-mode rectangular waveguides
TL;DR: In this article, a new scheme of computation for the CEVAR (cosineexponential field based variational method) for modeling wave propagation in single mode rectangular waveguides is presented.
Journal ArticleDOI
A simple variational analysis of diffused channel waveguides
Ning Hua Zhu,Ren Ming Wang +1 more
TL;DR: In this article, the variational analysis of Ti:LiNbO3 strip waveguides is resolved into two related one-dimensional problems, which provides a new iterative approach for the calculation of the mode parameters and the propagation constant.
Journal ArticleDOI
Optical Waveguide Modelling Based on Scalar Finite Difference Scheme
TL;DR: In this paper, a numerical method based on scalar finite difference scheme is adopted and programmed on MATLAB(r) platform for optical waveguide modeling purpose, and the comparison results obtained are proven to have the same qualitative behaviour.
Journal ArticleDOI
An economic method for the solution of the scalar wave equation for arbitrary shaped optical waveguides
TL;DR: The discrete sine method (DSM) as discussed by the authors is a combination of a scalar version of the finite difference method and sine methods, in which the basis functions consist of sine functions defined on a set of parallel discretization lines.
References
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Journal ArticleDOI
Dielectric rectangular waveguide and directional coupler for integrated optics
TL;DR: In this paper, the authors studied the transmission properties of a guide consisting of a dielectric rod with rectangular cross section, surrounded by several dielectrics of smaller refractive indices.
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.
Book ChapterDOI
Theory of Dielectric Waveguides
TL;DR: In this article, the theory of dielectric waveguides is discussed and a discussion of the fabrication of planar waveguide structures is presented, even though most of the fundamentals are applicable to all waveguide types.
Journal ArticleDOI
Mode dispersion in diffused channel waveguides by the effective index method
G B Hocker,William K. Burns +1 more
TL;DR: The effective index method for calculating waveguide mode dispersion is reviewed and applied to uniform rectangular optical waveguides with both small and large index differences and is shown to be at least as accurate as other approximate techniques.