Direct and inverse scattering in the time domain for a dissipative wave equation. III. Scattering operators in the presence of a phase velocity mismatch

Journal Article · Sun Feb 01 00:00:00 EST 1987 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527667· OSTI ID:6743677

Kristensson, G; Krueger, R J

The direct scattering problem for an inhomogeneous lossy medium is examined for the one-dimensional case in which the phase velocity profile is discontinuous at the boundaries of the medium. Scattering operators (or impulse responses) and propagation operators are defined and equations that govern their behavior are developed. Knowledge of the scattering kernels for one round trip in the medium implies that the scattering kernels can be determined on any time interval. Numerical examples are presented. It is also shown that this scattering problem is reducible to one in which there are no phase velocity mismatches. This reduction provides considerable numerical advantage in the solution of the direct scattering problem. The inverse problem is examined in a companion paper.

• Research Organization: Division of Electromagnetic Theory, Royal Institute of Technology, S-100 44 Stockholm, Sweden
• OSTI ID: 6743677
• Journal Information: J. Math. Phys. (N.Y.); (United States), Vol. 28:2
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ELECTROMAGNETIC RADIATION
INVERSE SCATTERING PROBLEM
WAVE PROPAGATION
WAVE EQUATIONS
ANALYTICAL SOLUTION
BOUNDARY-VALUE PROBLEMS
AMES LABORATORY
DISSIPATION FACTOR
KERNELS
MATHEMATICAL OPERATORS
PROPAGATOR
TIME DEPENDENCE
DIFFERENTIAL EQUATIONS
EQUATIONS
NATIONAL ORGANIZATIONS
PARTIAL DIFFERENTIAL EQUATIONS
RADIATIONS
US AEC
US DOE
US ERDA
US ORGANIZATIONS
657000* - Theoretical & Mathematical Physics