The Sommerfeld half-plane problem revisited, V: The bifurcated guide with mixed boundary conditions on the septum From a paper presented at the conference on ‘Wiener–Hopf Problems and Applications’ held in Oberwolfach, West Germany, 20–26, July 1986.
Heins, Albert E.
1990-05
Citation
Heins, Albert E. (1990)."The Sommerfeld half-plane problem revisited, V: The bifurcated guide with mixed boundary conditions on the septum From a paper presented at the conference on ‘Wiener–Hopf Problems and Applications’ held in Oberwolfach, West Germany, 20–26, July 1986. ." Mathematical Methods in the Applied Sciences 12(5): 369-386. <http://hdl.handle.net/2027.42/50174>
Abstract
We discuss the solution of the boundary value problem in a duct with a centered septum [9]. On the lower wall of the duct a Neumann condition is applied while on the upper wall a Dirichlet condition is applied. On the septum we apply a Dirichlet condition on the lower side and a Neumann condition on the upper one. This problem is formulated as a pair of integral equations of the Wiener–Hopf type for which we supply solutions for two modes of excitation as well as real and complex wave number. A critical examination is made of the construction, which reduces the problem to one in complex analysis. For real wave number, the physical parameters are provided in very simple forms.Publisher
John Wiley & Sons, Ltd
ISSN
0170-4214 1099-1476
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