Scattering of evanescent wave by two cylinders near a flat boundary

¹ Institute of Automation and Electrometry, Siberian Branch, Russian Academy of Sciences 1 Koptjug Avenue, Novosibirsk 630090 Russia
² A.V. Rzhanov Institute of Semiconductor Physics, Siberian Branch, Russian Academy of Sciences 13 Lavrentjev Avenue, Novosibirsk 630090, Russia
³ Novosibirsk State University - 2 Pirogov Street, Novosibirsk 630090, Russia

Received: 7 October 2011
Accepted: 23 November 2011

Abstract

The two-dimensional problem of the evanescent wave scattering by dielectric or metallic cylinders near the interface between two dielectric media is solved. A semianalytical method involving a special Green function and a numerical solution of the boundary integral equations is proposed. A configuration with a circular and a prolate elliptic cylinders is suggested to simulate the sample and the probe in near-field optical microscopy. The far-field energy flux through the probe is calculated as a function of its position. The oscillations of the signal are interpreted as a result of the interference between evanescent and cylindrical waves.