Abstract
For an axially incident plane wave, two theorems are stated in which sufficient conditions are imposed on the constitutive parameters ε and μ of a three-dimensional scatterer to ensure the identity of scattering patterns in orthogonal planes, both near and far zone, such as E and H planes. The theorems represent an extension of existing scattering theorems that apply to bodies of revolution. The theorems are proven analytically, and the results are validated through detailed finite-difference–time-domain and method-of-moments computer simulations on a few noncanonical complex shapes characterized by quite general causal permittivity ε and permeability μ functions. The selected materials have Lorentzian functional forms and encompass ordinary materials as well as left-handed materials as special cases.
© 2004 Optical Society of America
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