Basic Research in Electromagnetic Theory Final Report
Basic Research in Electromagnetic Theory Final Report
Morris Kline
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Fourier amplitudes of the diffracted field are given in terms of differential scattering amplitudes of the single cylinder^ the latter are either analytically calculable (e. G. , for the circular cylinder) or obtainable by experi- ment. In this paper the theory considers first two obstacles and expresses the - 29 - field diffracted by the combination as the sum of the incident field, the field diffracted by each obstacle when only the incident field impinges, and the field diffracted by each ob...stacle and arising from the field diffracted by the other. This third summand is the correction terra to single scattering theory. The coefficients of the correction term are quotients with denominators of the form 1 + / 1 where d is the distance between the centers of the two obstacles. , ycd If the denominators are simplified by ignoring the higher order terms we obtain a general formula for first order multiple scattering which may be adequate in some problems. However, as noted below, there ar« cases where the higher order terms should not be neglected.
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