Studies of the generalized Ohm's law

✍ Scribed by Tonit Levy-Nathansohn

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 330 KB
• Volume: 241
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/s0378-4371(97)00077-0

✦ Synopsis

Within the generalized Ohm's law, we present a transformation which makes it similar to a thermoelectric transport problem in a 2D nonhomogeneous medium. For a general class of films with any number of different components, the resulting equations can be decoupled by a universal transformation.

For the purpose of studying the applicability of the generalized Ohm's law, we consider the problem of an electromagnetic plane-wave scattered from a film which, although materially homogeneous, has a corrugated surface, in the regime where the wavelength is larger than the inhomogeneity length scales. The optical response of such a film is calculated by applying the generalized Ohm's law, and independently by solving the three-dimensional Maxwell's equations and invoking the physical boundary conditions at the surface (Rayleigh method).