A very efficient and robust method which gives a complete description of the spectrum of microwaves and optical waveguides and waveguide-based devices, including propagating, evanescent and radiating modes, is presented.The method can be implemented on a personal computer and in a form which is not dependent on the specific problem. Full details of the mathematical formulation and its finite element implementation are given together with a variety of examples. The finite element formulation presented in this book is based on transverse fields for maximum economy and is free from spurious solutions. Maximum efficiency is also achieved by solving directly for the propagation constant and taking full advantage of the sparsity of the matrices involved.
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The authors present an extremely efficient and robust method which offers a complete description of the spectrum of microwaves and optical waveguide-based devices such as propagating, evanescent and radiating modes. Full details of the mathematical formulation and its finite element formulation are given together with a variety of examples. The finite element formulation is based on transverse fields for maximum economy and is free from spurious solutions. The book's extensive review of the literature, its original contributions to the solution of the sparse matrix eigenvalue problems confronted in finite elements and its thorough approach to general configurations including modern meshing techniques will make it an invaluable resource for those interested in finding propagation constants in microwaves or optoelectronics.
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