Analysis of Current Distributions and Radar Cross Sections of Line Source Scattering from Impedance Strip by Fractional Derivative Method

E I Veliyev,E Karaçuha,K Karacuha,V Tabatadze

doi:10.7716/aem.v8i2.981

Abstract

In this paper, we have studied the analysis of current distributions and radar cross sections of line source scattering from impedance strip. The problem was solved with fractional derivative method previously. Here, the specific case of fractional derivative method is investigated. The problem under consideration on the basis of various methods is studied well, however, they are mainly done by numerical methods. The fractional derivative method, allows an analytical solution in a specific situation. This method allows to obtain analytical solution of impedance strip for a special case which is fractional order is equal to 0.5. When fractional order is 0.5, there is an analytical solution which is explained and current distribution, radar cross section and near field patterns are given in this paper. Here, as a first time, current distribution, bi-static radar cross section and near field for the upper and lower part of the strip are studied.

Highlights

The application of the fractional calculus such as fractional operators, transforms or the fractionalization of some known operators are studied well previously [1 - 4]
fractional boundary condition (FBC) is characterized by the value of the fractional order ν between 0 and 1
The impedance of the strip is found for the specific angle with the special assumption

Summary

Introduction

The application of the fractional calculus such as fractional operators, transforms or the fractionalization of some known operators are studied well previously [1 - 4]. This allows us to describe intermediate states for different physical phenomena. In order to solve this specific diffraction problem, new fractional boundary condition (FBC) on the strip is introduced. We will use the Riemann - Liouville definition of the derivative which is valid for the fractional order between (0, 1) [5]. It is needed to express the fractional boundary condition, mathematically which is the boundary condition can cover both known Dirichlet and Neumann boundary conditions (FBC) [5].

Formulation of the Problem

Numerical Analysis

Numerical Results

Conclusion