Progress Report for The Catholic University of America Grant N0OO14-94-1-02O1

Autor:	M. J. Beran
Rok vydání:	1995
Předmět:	Mathematical model Wave propagation Differential equation Numerical analysis Ordinary differential equation Mathematical analysis Calculus Coherence (signal processing) Random variable Eigenvalues and eigenvectors Mathematics
DOI:	10.21236/ada307862
Popis:	The calculations for considering linear sound-speed profiles in channels have been generalized to treat piece-wise linear sound-speed profiles. Calculation of the scattering coefficients for the linear profile was begun. The case of a channel with a complex bottom impedance condition was also under investigation. As a result of the fact that the eigenvalues are now complex, a diffusion-like term has been added to the governing coherence equations. We began studies of methods to calculate the effect of this term since the governing equations can no longer be reduced to a set of ordinary differential equations for cylindrically symmetric sources. The work on the two- frequency coherence equations continued and the conditions for their validity were carefully considered. It was shown that for large normalized frequency differences the governing equations simplified considerably. We also began looking for a suitable asymptotic formulation to determine the effect of the small normalized frequency differences for very long propagation distances.
Databáze:	OpenAIRE
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