Eigenfunction expansions and scattering theory for wave propagation problems of classical physics

1972 ◽  
Vol 46 (4) ◽  
pp. 280-320 ◽  
Author(s):  
John R. Schulenberger ◽  
Calvin H. Wilcox
Keyword(s):  
Wave Propagation ◽  
Scattering Theory ◽  
Eigenfunction Expansions ◽  
Classical Physics

Spectral representation and scattering theory for the wave equation with two unbounded media

1993 ◽  
Vol 113 (2) ◽  
pp. 423-447 ◽  
Author(s):  
G. F. Roach ◽  
Bo Zhang
Keyword(s):  
Wave Propagation ◽  
Wave Equation ◽  
Stationary Phase ◽  
Scattering Theory ◽  
Spectral Representation ◽  
Fourier Transforms ◽  
Eigenfunction Expansions ◽  
Wave Operators ◽  
Unbounded Media ◽  
Generalized Eigenfunction

AbstractIn this paper, we establish the generalized eigenfunction expansions for wave propagation in inhomogeneous, penetrable media in ℝn(n ≥ 2) with an unbounded interface. We then use them together with the method of stationary phase to prove the existence of the wave operators and to obtain the representations of the wave operators in terms of the generalized Fourier transforms.

The scattering theory of lax and phillips and wave propagation problems of classical physics†‡

1973 ◽  
Vol 3 (1) ◽  
pp. 57-77 ◽  
Author(s):  
James A. La vita ◽  
John R. Schulenberger ◽  
Calvin H. Wilcox
Keyword(s):  
Wave Propagation ◽  
Scattering Theory ◽  
Classical Physics
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