Wave Propagation Governed by an Infinite Number of Transition Points
- 1 June 1968
- journal article
- Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics
- Vol. 4 (2) , 123-139
- https://doi.org/10.1093/imamat/4.2.123
Abstract
The reflection of waves from an isolated transition point is generalized to embrace an infinite number of evenly spaced non-isolated transition points lying on a straight line perpendicular to the propagation axis in the complex plane. The comparison functions suited to the problem are Bessel functions, yielding uniform approximate solutions along the axis, from which reflection coefficients may be calculated. The theory is illustrated by comparison with an exact analytical solution in terms of Whittaker functions, for a model containing two parallel lines of transition points.Keywords
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