Título:
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Single-mode Anisotropic Cylindrical Dielectric Waveguides
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Autores:
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Fernández Álvarez-Estrada, Ramón ;
Calvo Padilla, María Luisa
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Tipo de documento:
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texto impreso
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Editorial:
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Taylor and Francis Ltd., 1983
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Física: Optica
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Tipo = Artículo
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Resumen:
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We study anisotropic cylindrical dielectric waveguides under the following conditions: (1) their cross section ? has arbitrary shape; (2) the dielectric permittivity tensor ? has discontinuities at the boundaries, as well as a graded spatial variation; (3) ? is small, and ? minus the unit 3 × 3 matrix (I) is small and smooth, so that only one pair of propagation modes is allowed. A general and exact dispersion relation for the propagation modes is derived, using integral equation techniques and the long wavelength singularity of the free-space Green's function in two dimensions. We present approximate explicit solutions of the dispersion relation to first order in (?? I), which exhibit a logarithmic dependence and birefringence, in general. Some numerical estimates are also given. Approximate dispersion relations up to and including second order in (? ? I) are also discussed. The scattering problem is treated briefly.
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