On the convergence of the time-domain bremmer series |
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Authors: | Samuel H. Gray |
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Affiliation: | Amoco Production Company, P.O. Box 591, Tulsa, OK 74102, USA |
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Abstract: | The frequency-dependent Bremmer series for wave propagation in a plane stratified medium has been well studied. It is known that the series converges if the variations in the medium are not too large. Less well-known is the fact that the series is more likely to converge in a medium with large variations if the frequency of the incident wave is high than if it is low. Here we show that if the variations in the medium remain finite, a frequency-independent (Fourier transformed) version of the series converges. We obtain exponential bounds for the series, which can often be improved. |
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