Abstract

Metasurface technology has become one of the promising structures for controlling and manipulating of the phase and amplitude characteristics of the electromagnetic waves in recent years. For this reason, the determination of the exact diffracted fields is also crucial especially in the edge or discontinuity points of these types of materials. In the paper, the discontinuity problem by the junction between the layers of an anomalously reflecting metasurface and an impedance half-screen is taken into consideration. These two planar layers have a common edge discontinuity where the diffracted waves occur. The scattered waves from the structure are obtained by the novel technique of the method of transition boundary, which especially offers the relation between the diffracted and scattered geometrical optical waves at the transition boundaries. The diffracted wave expressions are derived by the technique of the method of transition boundary and the uniform wave expressions are obtained by the method of uniform geometrical theory of diffraction. The behaviors of the total wave and its components are analyzed numerically.

Highlights

  • The main difference in the anomalous reflection is the waves do not obey Fermat’s principle

  • Umul has transformed these studies into a novel technique, which is named as the method of transition boundary (MTB) [34]

  • In this paper, we investigated the scattering problem of waves by a planar junction between anomalously reflecting metasurface and impedance half-planes

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Summary

INTRODUCTION

The main difference in the anomalous reflection is the waves do not obey Fermat’s principle. Umul investigated the effect of the discontinuities on the anomalous reflection characteristics of metasurfaces in several studies and investigated the metasurface structures with the different discontinuity problems [24], [27]‒[33] After his several scattering problem studies, he has realized that the diffracted waves have a direct relation with the scattered geometrical optical (GO) waves at the transition boundaries. We will be investigating the scattering properties of waves by a discontinuous junction point between an anomalously reflecting metasurface screen and an impedance half-screen by the novel technique of the MTB [34]. A time factor of exp( j t ) is assumed and suppressed throughout the paper. and t are the angular frequency and time, respectively

DEFINITION OF THE PROBLEM
MTB SOLUTION OF THE PROBLEM
INITIAL WAVE
TOTAL GO WAVE
DIFFRACTED WAVE
UNIFORM DIFFRACTED WAVE
PHYSICAL OPTICS SOLUTION
NUMERICAL RESULTS
CONCLUSIONS
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