Energy Systems Research and Department of Physics, Ajou University, Suwon 16499, Korea'
- '$^2$ School of Physics, Korea Institute for Advanced Study, Seoul 02455, Korea'
author:
- 'Sangbum Kim$^{1}$ and Kihong Kim$^{1,2}$'
title: 'Direct calculation of the strong Goos-Hänchen effect of a Gaussian light beam due to the excitation of surface plasmon polaritons in the Otto configuration'
---

Introduction
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A light beam deviates from the path expected from geometrical optics when it is totally reflected at the interface between two different media. The reflected beam is displaced laterally along the interface, which is called the Goos-Hänchen (GH) shift. This phenomenon has been predicted a long time ago and measured experimentally by Goos and Hänchen for the first time [@Goos1; @Goos2; @Goos3]. Artmann has derived an analytical formula for the GH shift for incident plane waves [@Artmann]. The GH effect occurs in many diverse areas such as acoustics, optics, plasma physics and condensed matter physics [@Lotsch; @Puri].

Earlier works have treated the GH shift in multilayered structures in the Otto or Kretschmann configuration [@Shah1; @Shah2; @Shah3]. Tamir and Bertoni performed a detailed analysis of the electromagnetic field distribution in a leaky-wave structure upon which a Gaussian beam is incident [@Tamir]. 