Propagation of shaped beam through uniaxially anisotropic chiral slab

doi:10.1088/1674-1056/abab6c

Abstract

A general solution is obtained to a canonical problem of the reflection and refraction of an arbitrary shaped beam by using a uniaxially anisotropic chiral slab. The reflected, internal as well as refracted shaped beams are expanded in terms of cylindrical vector wave functions, and the expansion coefficients are determined by using the boundary conditions and method of moments procedure. As two typical examples, the normalized field intensity distributions are evaluated for a fundamental Gaussian beam and Hermite–Gaussian beam, and some propagation properties, especially the negative refraction phenomenon, are discussed briefly.

Keywords: shaped beam uniaxially anisotropic chiral slab reflection and refraction negative refraction phenomenon

Received: 07 March 2020
Revised: 15 June 2020
Accepted manuscript online: 01 August 2020

Fund: the National Natural Science Foundation of China (Grant No. 61771385), the Science Foundation for Distinguished Young Scholars of Shaanxi Province, China (Grant No. 2020JC-42), the Fund from the Science and Technology on Solid-State Laser Laboratory, China (Grant No. 6142404180301), and the Science and Technology Research Plan of Xi’an City, China (Grant No. GXYD14.26).

Corresponding Authors: ^†Corresponding author. E-mail: wangmingjun@xaut.edu.cn

Cite this article:

Ming-Jun Wang(王明军), Jia-Lin Zhang(张佳琳), Hua-Yong Zhang(张华永), and Zi-Han Wang(王梓涵)$ Propagation of shaped beam through uniaxially anisotropic chiral slab 2020 Chin. Phys. B 29 114211

Fig. 1.

Infinite UAC slab illuminated by EM beam.

Fig. 2.

Normalized FIDs in xOz plane for UAC slab illuminated by ${{\rm{TEM}}}_{00}^{({x}^{^{\prime} })}$ mode Gaussian beam when w₀ = 3λ, z₀ = 0, β = π/3, d = 10λ₀, ε_z = 2ε₀, ε_t = ε₀, μ = μ₀, (a) κ = 0.4, (b) κ = 0.8, (c) κ = 1.6, (d) κ = 2.

Fig. 3.

(a) Normalized FID in xOz plane for ${{\rm{TEM}}}_{10}^{({x}^{^{\prime} })}$ mode Hermite–Gaussian beam when w₀ = 3λ, z₀ = 0, β = π/4; (b) normalized FID in xOz plane for the same model as that in Fig. 2(d) when d = 10 λ₀, ε_z = 2ε₀, ε_t = ε₀, μ = μ₀, κ = 2, illuminated by the above Hermite–Gaussian beam; normalized FIDs for the above Hermite–Gaussian beam |Eⁱ/E₀|² in (c) z = 0 plane, and for the transmitted beam |E^t/E₀|² in (d) z = d plane.

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