High- and low-frequency asymptotic consequences of the Kramers-Kronig relations
Tóm tắt
This paper examines the high- and low-frequency asymptotic consequences of the Kramers-Kronig relations which hold for the real and imaginary parts of the Fourier transform of the response of any linear causal system. By knowing or assuming the high- or low-frequency expansion of one of these functions, the corresponding asymptotic expansion of the other is easily determined, and furthermore the coefficients in this expansion may be determined by evaluating integrals that involve intermediate frequencies. The practical utility of the approach is demonstrated with examples from floating-body hydrodynamics and some new integral relations are derived and exploited.
Tài liệu tham khảo
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