Physical content of the singularity expansion method

Journal Article · Sat Aug 15 04:00:00 EDT 1981 · Appl. Phys. Lett.; (United States)

DOI:https://doi.org/10.1063/1.92730· OSTI ID:6180566

Uberall, H; Gaunaurd, G C

The singularity expansion method describes the echo return from pulsed radar signals in terms of a Prony-series superposition of damped sinusoids. These are obtained as the residues of poles of the scattering amplitude in the complex frequency plane. For the example of radar scattering from a conducting sphere, we show that these poles can be regrouped into infinite subsets whose residues sums represent individual creeping waves, the nth pole in the subseries corresponding to the resonance caused by a standing creeping wave with n+1/2 wavelength spanning the circumference. The corresponding Prony subseries thus appears simply as a mathematical device which synthesizes the physical creeping wave.

• Research Organization: Department of Physics, Catholic University of America Washington, D.C. 20064
• OSTI ID: 6180566
• Journal Information: Appl. Phys. Lett.; (United States), Journal Name: Appl. Phys. Lett.; (United States) Vol. 39:4; ISSN APPLA
• Country of Publication: United States
• Language: English

Related Subjects

658000* -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
ARGAND DIAGRAMS
DAMPING
DIAGRAMS
ELECTRIC CONDUCTORS
ELECTROMAGNETIC RADIATION
INTEGRAL CALCULUS
MATHEMATICAL MODELS
MATHEMATICS
PULSES
RADIATIONS
REFLECTION
SCATTERING AMPLITUDES
SCATTERPLOTS
SERIES EXPANSION
SINGULARITY
SPHERES
WAVE PROPAGATION