Abstract

The scattering of electromagnetic plane waves by an interface, located between perfect electromagnetic conductor and absorbing half-planes is investigated. The perfect electromagnetic conductor half-plane is divided into perfect electric conductor and perfect magnetic conductor half-screens. The same decomposition is done for the absorbing surface. Then four separate geometries are defined according to this approach. The scattered fields by the four sub-problems are obtained with the aid of the modified theory of physical optics. The resultant scattering integrals are combined in a single expression by using key formulas, defined for the perfect electromagnetic conductor and absorbing surfaces. The scattering integral is asymptotically evaluated for large values of the wave-number and the diffracted and geometric optics fields are obtained. The behaviors of the derived field expressions are analyzed numerically.

Highlights

  • THE method of physical optics (PO) is widely used in electromagnetics for scattering analysis [1, 2], wave propagation in waveguides [3], antennas [4] and radar applications [5, 6]

  • We proposed a method, named as the modified theory of physical optics (MTPO), that was leading to the exact edge diffracted fields for the perfect electric conductor (PEC) and perfect magnetic conductor (PMC) half-planes in 2004 [8]

  • With the aid of this concept, we proposed a new method, which is named as the method of transition boundary (MTB)

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Summary

INTRODUCTION

THE method of physical optics (PO) is widely used in electromagnetics for scattering analysis [1, 2], wave propagation in waveguides [3], antennas [4] and radar applications [5, 6]. The angle between the diffracted wave and incident GO field are not same according to this normal vector For this reason, the current should be evaluated with respect to a variable unit vector instead of the static one. We proposed a method, named as the modified theory of physical optics (MTPO), that was leading to the exact edge diffracted fields for the perfect electric conductor (PEC) and perfect magnetic conductor (PMC) half-planes in 2004 [8]. With the aid of this concept, we proposed a new method, which is named as the method of transition boundary (MTB) It was proposed for the evaluation of the diffracted waves for two dimensional problems [11]. A time factor of exp(jwt) is assumed and suppressed throughout the paper. w is the angular frequency

DEFINITION OF THE PROBLEM
CONSTRUCTION OF THE MTPO SCATTERING INTEGRALS
ASYMPTOTIC EVALUATION OF THE MTPO INTEGRALS
NUMERICAL RESULTS
CONCLUSION

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