Singularity expansion method applied to plane wave scattering from a lossy slab on a conducting half-space. Final report
The one-dimensional electromagnetic scattering from an idealized, conductor-backed lossy slab can be expressed as an infinite sum of natural modes by applying the Singularity Expansion Method (SEM). The slab considered is homogeneous, isotropic, of uniform thickness, and infinite in extent. A close equivalence to this system is a shorted, lossy transmission section. As with scattering from many perfectly conducting bodies of finite extent, the complex frequencies for the lossy scatterer considered herein are continuous functions of the parameters describing the scatterer. It is shown that only a finite number of the SEM poles can be purely imaginary and that there can be no purely real poles. A numerical implementation of the SEM series has been validated by comparison to a digital inverse Fourier transform of the solution to the fields in the frequency domain. Examples of the numerically found SEM poles for different slabs are included.
- Research Organization:
- Arizona Univ., Tucson (USA). Engineering Experiment Station
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 6205158
- Report Number(s):
- UCRL-15532; ON: DE83012942
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CAUCHY PROBLEM
COMPUTER CALCULATIONS
ELECTRIC FIELDS
ELECTROMAGNETIC RADIATION
FOURIER TRANSFORMATION
FUNCTIONS
GREEN FUNCTION
INTEGRAL TRANSFORMATIONS
NUMERICAL SOLUTION
ONE-DIMENSIONAL CALCULATIONS
RADIATIONS
SCATTERING
SINGULARITY
SLABS
TRANSFORMATIONS