A Study of Surface Roughness and Its Effect on the Backscattering Cross Section of Spheres

Hiatt, Ralph E.; Senior, Thomas B. A.; Weston, Vaughan H.

doi:10.1109/jrproc.1960.287585

Cited by 13 publications

(1 citation statement)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The use of an impedance boundary condition results in loss of information about the internal fields E exc (r) and B exc (r), and is generally adopted for perfectly conducting objects with somewhat rough [34] or coated surfaces [35]. An impedance boundary condition cannot represent the surface states of a topological insulator as becomes clear in Sec.…”

Section: Boundary Conditionsmentioning

confidence: 99%

Electromagnetic scattering by homogeneous, isotropic, dielectric–magnetic sphere with topologically insulating surface states

Lakhtakia

Mackay

2016

J. Opt. Soc. Am. B

View full text Add to dashboard Cite

The Lorenz-Mie formulation of electromagnetic scattering by a homogeneous, isotropic, dielectricmagnetic sphere was extended to incorporate topologically insulating surface states characterized by a surface admittance γ. Closed-form expressions were derived for the expansion coefficients of the scattered field phasors in terms of those of the incident field phasors. These expansion coefficients were used to obtain analytical expressions for the total scattering, extinction, forward scattering, and backscattering efficiencies of the sphere. Resonances exist for relatively low values of γ, when the sphere is either nondissipative or weakly dissipative. For large values of γ, the scattering characteristics are close to that of a perfect electrically conducting sphere, regardless of whether the sphere is composed of a dissipative or nondissipative material, and regardless of whether that material supports planewave propagation with positive or negative phase velocity.

show abstract

Section: Boundary Conditionsmentioning

confidence: 99%