Propagation properties of TE mode in three layer slab waveguides with left-hand materials and single-negative materials

Abstract

Abstract:

The propagation properties of TE mode in three slab waveguides with left-hand materials as substrate and single-negative materials as cover layer was investigated, providing the theory for the design of the waveguide device. At first, the dependence of normalized effective waveguide thickness H on normalized frequency ν for the modes of three layer slabs was worked out. Then, the propagation properties of TE mode in three slab waveguides are analyzed. The results show that the change rate of the normalized effective refractive index b with normalized effective frequency ν is decreased with increasing the ratio of permeability of guided wave layer to substrate or superstratum. As the asymmetric value a approach to zero, b varies with ν monotonically. While the asymmetric value is big enough, there is two-value phenomenon for TE1, TE2, TE3, TE4 and TE5 modes near cutoff frequency. When the asymmetric value is increased, the curve H-v will shift from left to right. H will be negative for TE0 mode.

Key words: fiber and waveguide optics, slab waveguide, left-handed materials, single-negative materials, propagation properties

CLC Number:

TN929.11

LI Bing-xiang, XIE Ying-mao. Propagation properties of TE mode in three layer slab waveguides with left-hand materials and single-negative materials[J]. J4, 2011, 28(4): 501-506.

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