Numerical simulations of global approach for photon scanning tunneling microscopy: coupling of finite-element and boundary integral methods

Abstract

Appropriate surface termination is used to improve dramatically the subwavelength imaging resolution of a multilayered positive-negative permittivity structure operating in the infrared or optical canalization regime. The imaging resolution of the improved multilayered structure resists practical material loss well, and it is not sensitive to the thickness of the interface layers, the total thickness, nor the period of the multilayered structure. Such a structure can be used to transfer a subwavelength image to a far distance through a thick structure.

Coupling of finite element and boundary integral methods for electromagnetic scattering in a two-layered medium

“…The extension of the scattering problem to a multi-layered background medium is straightforward since the analytical forms of the fundamental solution can be similarly obtained for the twodimensional Helmholtz equation in the multi-layered background medium. Scattering problems in layered medium are of important applications in broad scientific areas such as submarine detection, geophysical exploration, near-field optical microscopy, and near-field optics modeling [6,15,33]. Near-field optics has developed dramatically in recent years as an effective approach to breaking the diffraction limit and obtaining images with subwavelength resolution [16], which leads to various applications in biology, chemistry, material sciences, and information storage.…”