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Guided waves in asymmetric hyperbolic slab waveguides: the TM mode case

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Abstract

Nonlinear guided wave modes in an asymmetric slab waveguide formed by an isotropic dielectric layer placed on a linear or nonlinear substrate and covered by a hyperbolic material are investigated. The optical axis is normal to the slab plane. The dispersion relations for TM waves are found and the effects of nonlinearity on the dispersion relations are investigated and discussed. It is shown that under certain conditions for dielectric constants there are additional cutoff frequencies for each TM mode. Thereby each TM mode is held by the waveguide only in a certain frequency range, which is determined by the dielectric permittivities and the field intensity in the nonlinear case.

© 2016 Optical Society of America

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