Journal
IEEE JOURNAL OF QUANTUM ELECTRONICS
Volume 46, Issue 5, Pages 618-625Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/JQE.2010.2047379
Keywords
Algorithms; conducting films; electromagnetic surface waves; Monte-Carlo methods; plasmons; submillimeter wave waveguides; transfer matrices
Categories
Funding
- Austrian Science Fund, Advanced Light Sources [F16]
- Doctoral School on Complex Quantum Systems [W1210]
- Austrian Science Fund (FWF) [W1210] Funding Source: Austrian Science Fund (FWF)
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In this paper, we present a simple and robust method for calculating the dispersion relation of guided modes in layered media with conducting interfaces in the terahertz frequency range. The procedure is based on the transfer matrix method and utilizes a Nelder-Mead simplex algorithm for the solution of the resulting transcendental equations. By applying a semi-analytical approach, the algorithm shows very good convergence behavior even for structures containing metallic layers. Analytic forms of the transcendental equations for transverse electric and transverse magnetic polarization for systems with one to four boundaries are presented. Conducting interfaces can, for instance, be used to describe a 2-D electron gas or a planar metamaterial. We demonstrate the performance of this method by examples which are of current technological interest. These include surface waves bound to surface carriers on p-InAs, a parallel plate waveguide and plasma oscillations in a high electron mobility transistor structure.
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