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Eigenvalue equations for guided modes in multilayer waveguides are given, along with equations for the field distributions. Closed analytic expressions are given to calculate the mode number of the guides. Two new concepts—fictitious half-phase shift and effective guide thickness—are extremely useful in the analysis of the field and in calculating the power carried by the different layers. General formulas for the dispersions caused by changes in various physical parameters are given. The study ends with illustrations using three-layer, four-layer, W-structure, and symmetrical seven-layer waveguides, as well as symmetrical periodic multilayer waveguides.
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Lit et al. (1988) studied this question.
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