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When does the choice of the refractive index of a linear, homogeneous, isotropic, active, dielectric medium matter?

2007/01/01 by Akhlesh Lakhtakia, Joseph B. Geddes, Joseph B. Geddes III +1
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Advanced Antenna and Metasurface Technologies #Bounded function #Dielectric #Homogeneous #Isotropy #Materials science #Mathematical analysis #Mathematics #Metamaterials and Metasurfaces Applications #Optics #Optoelectronics #Photonic Crystals and Applications #Physics #Refractive index #SPHERES #Scattering #Wave propagation #physics.class-ph #physics.gen-ph #physics.optics

paper · pdf · doi:10.1364/oe.15.017709

published as Optics Express, Vol. 15, No. 26, pp. 17709-17714 (2007)

openalex publication_date 2007/01/01 · arxiv created 2007/11/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Two choices are possible for the refractive index of a linear, homogeneous, isotropic, active, dielectric material. Either of the choices is adequate for obtaining frequency-domain solutions for (i) scattering by slabs, spheres, and other objects of bounded extent; (ii) guided--wave propagation in homogeneously filled, cross-sectionally uniform, straight waveguide sections with perfectly conducting walls; and (iii) image formation due to flat lenses. The correct choice does matter for the half-space problem, but that problem is not realistic.

Citations