Electromagnetic Inverse Scattering for Stratified Media

D. C. Stickler

doi:10.1117/12.935844

22 September 1983 Electromagnetic Inverse Scattering for Stratified Media

D. C. Stickler

Proceedings Volume 0413, Inverse Optics I; (1983) https://doi.org/10.1117/12.935844
Event: 1983 Technical Symposium East, 1983, Arlington, United States

Abstract

Assume that the permittivity ε and the permeability μ depend on z , i.e. ε= ε6(z) , μ = μ(z). For perpendicular polarization the electric and magnetic fields are determined by E_x , the x-component of the electric field. For this polarization let μ = E_x , μ = μ(z) and c(z) = 1 / /6(z)μ(z) . For parallel polarization the electric and magnetic fields are determined by Hx , the x-component of the magnetic field. For this polarization let μ = Hx and μ = 6(z) and c(z) = 1 / /6 (z)μ (z) Suppose that in the half-space z < 0 both the permittivity and permeability are known, but they are unknown for z > 0. In this paper it is shown how to determine 6(z) and p(z) using the trace method which itself is discussed. The following assumptions are necessary. (1) c(z), μ(z) approach cp1 as z -co and cp1 as z +co where c2'p2 are not known but it must be known that c2 > c1 . (2) certain smoothness assumptions on c(z) and p(z). Suppose a point harmonic source with angular frequency and w is located in the region z < 0 , and suppose p(r,z) is measured at some depth z < 0 for all r for both wi and w2 . Trace methods are then used to recover c(z) and μ(z) for z > 0 , under the assumption that the point source excites only the continuous spectrum. Numerical examples are presented.

Citation Download Citation

D. C. Stickler "Electromagnetic Inverse Scattering for Stratified Media", Proc. SPIE 0413, Inverse Optics I, (22 September 1983); https://doi.org/10.1117/12.935844

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