Decomposition of the scattering by a finite linear array into periodic and edge components

Abstract

The field scattered by each element in a finite array is decomposed into the contribution of the infinite or periodic array, a component due to the presence of the left edge of the array, and a component due to the right edge of the array. The scattered field due to either array edge is derived from a separate analysis of the appropriate semiinfinite array and is interpreted in terms of a decaying wave that is launched from the array end. © 1995 John Wiley & Sons, Inc.

Edge Effects in Axial Arrays of Circular Rings

“…Nishimoto and Ikuno [6] adopt the strategy, as in [2] and in the forthcoming Section III, of writing the currents on the semi-infinite array as the sum of infinite-array currents plus edge-effect currents that decay with distance from the array terminus. Such a physically reasonable ansatz usually improves the convergence of the numerics involved in the semi-infinite array analysis.…”

“…The focus is a demonstration of the suitability of a decomposition, in Section III, of the total aperture distribution Manuscript received December 26, 2004 [5] use a mixture of numerical and asymptotic techniques to attack the infinite Toeplitz matrix that characterizes the coupling between single-mode scatterers, such as the two-dimensional wires studied in [2]. Nishimoto and Ikuno [6] adopt the strategy, as in [2] and in the forthcoming Section III, of writing the currents on the semi-infinite array as the sum of infinite-array currents plus edge-effect currents that decay with distance from the array terminus.…”

Metamaterial radiation from attenuated total reflection at terahertz frequencies

“…These currents were found to be due to travelling waves arising from the left and the right edges of the array. Scattering in finite arrays also include reflections or end currents from the right and the left edges of the array [98]. The edge currents of a finite array of dipoles differ from those located towards the center, although the edge current radiation is typically at a lower frequency (~20%) than the resonance of the dipoles [99].…”

Operator method in the waves diffraction problem by a semi-infinite grating of strips placed in parallel planes

“…The approach which supposes that the full field is defined as a superposition of fields scattered by each element with unknown coefficients is widely used in diffraction problems by semi-infinite gratings [1], [2], [3]. Then the coefficients may be represented as a sum of an infinite-array term and an edge effect term.…”