Ein resonanzphänomen in der theorie akustischer und elektromagnetischer wellen
- 1 January 1984
- journal article
- research article
- Published by Wiley in Mathematical Methods in the Applied Sciences
- Vol. 6 (1) , 104-128
- https://doi.org/10.1002/mma.1670060109
Abstract
We discuss the asymptotic behaviour of acoustic and electromagnetic waves, generated by given time‐harmonic exterior forces with frequency ω, in the unbounded region between the parallel planes X3 = 0 and X3 = 1, and show that the principle of limiting amplitude is violated if ω = πn(n = 1, 2,…). For these values of the frequency, forces with compact support can be chosen such that the amplitudes of the waves increase with a logarithmic rate as t → ∞.Keywords
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