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For Most Frequencies, Strong Trapping Has a Weak Effect in Frequency-Domain Scattering
Communications on Pure and Applied Mathematics ( IF 3 ) Pub Date : 2020-07-31 , DOI: 10.1002/cpa.21932 David Lafontaine 1 , Euan A. Spence 1 , Jared Wunsch 2
Communications on Pure and Applied Mathematics ( IF 3 ) Pub Date : 2020-07-31 , DOI: 10.1002/cpa.21932 David Lafontaine 1 , Euan A. Spence 1 , Jared Wunsch 2
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It is well-known that when the geometry and/or coefficients allow stable trapped rays, the outgoing solution operator of the Helmholtz equation grows exponentially through a sequence of real frequencies tending to infinity.
中文翻译:
对于大多数频率,强捕获对频域散射的影响较弱
众所周知,当几何和/或系数允许稳定的俘获射线时,亥姆霍兹方程的输出解算子通过趋于无穷大的实频率序列呈指数增长。
更新日期:2020-07-31
中文翻译:
对于大多数频率,强捕获对频域散射的影响较弱
众所周知,当几何和/或系数允许稳定的俘获射线时,亥姆霍兹方程的输出解算子通过趋于无穷大的实频率序列呈指数增长。