Abstract

The scattering of left circularly polarized wave from a perfectly electric conducting (PEC) rough surface in isotropic chiral media is investigated. Since a slightly rough interface is assumed, the solution is obtained using perturbation method. Zeroth-order term corresponds to solution for a flat interface which helps in making a comparison with the results reported in the literature. First-order term gives the contribution from the surface perturbations, and it is used to define incoherent bistatic scattering coefficients for a Gaussian rough surface. Higher order solution is obtained in a recursive manner. Numerical results are reported for different values of chirality, correlation length, and rms height of the surface. Diffraction efficiency is defined for a sinusoidal grating.

Highlights

  • Scattering from rough surfaces is an interdisciplinary research field which has many applications in optics, communication, and remote sensing. e simplest possible problem is an impenetrable rough interface, and the solution has widely been investigated [1]. e method of analysis can be analytical model such as perturbation methods (PMs) [2, 3], Kirchhoff approximation (KA) [4, 5], and extended boundary condition method [6].e regions of validity of PM and KA are well defined [7, 8]

  • The problem of re ection from a perfectly electric conducting (PEC) rough interface placed in chiral medium is presented

  • Consider a PEC rough surface placed in a chiral medium as shown in Figure 1. e chiral medium is de ned by the following constitutive relations [23]: D ε(E + β∇ × E), (1)

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Summary

Introduction

Scattering from rough surfaces is an interdisciplinary research field which has many applications in optics, communication, and remote sensing. e simplest possible problem is an impenetrable rough interface, and the solution has widely been investigated [1]. e method of analysis can be analytical model such as perturbation methods (PMs) [2, 3], Kirchhoff approximation (KA) [4, 5], and extended boundary condition method [6]. Numerical values of parameters such as rms height and correlation length of the surface vary with incident angle in defining the region of validity. Numerical methods such as method of moments (MoM) [9], finite-difference time domain method (FDTDM) [10], and finite element method (FEM) [11] may be selected to study rough surface scattering. Full wave electromagnetic scattering from rough surfaces with buried inhomogeneities is presented by Duan and Moghaddam [16]. The problem of re ection from a PEC rough interface placed in chiral medium is presented.

Theoretical Formulation
Numerical Analysis
Conclusion
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