Abstract
This paper calculates and displays accurate radiation modes for rectangular,
multimode dielectric, channel waveguides, for the first time, and introduces
the new semianalytical calculation method used to find them, the radiation-mode
Fourier decomposition method (RFDM), which is an extension of the Fourier
decomposition method (FDM) for finding bound propagating modes. The optimum
choice of non-linear conformal transformation parameters is discussed for
achieving highest accuracy. Once the radiation modes are known, the coupling
coefficients can be found between the bound and radiation modes, as well as
those between the bound modes themselves, andhence, the propagation loss can
be found. The paper adapts Marcuse's coupled power theory, for the first time,
to enable it to model propagation in rectangular, multimode dielectric, channel
waveguides suffering from one dimensional sidewall roughness enabling the
equilibrium distance to be calculated, at which rate of loss to radiation
modes becomes constant, and to find that equilibrium propagation loss, and
the dependence on the statistical properties of the wall roughness. This leads
to the conclusion that at sufficient distance there exist two uncoupled modes,
a symmetric and an asymmetric lowest order mode.
© 2009 Crown
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