ABCD matrix formalism for propagation of Gaussian beam through left-handed material slab system |
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| Authors: | Jianhua Zhou Hailu Luo Yangsu Zeng |
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| Affiliation: | a Key Laboratory for Micro/Nano Optoelectronic Devices of Ministry of Education, School of Computer and Communication, Hunan University, Changsha 410082, China
b Institute of Laser Technology and Information, Department of Information Engineering, Shaoyang University, Shaoyang 422000, China |
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| Abstract: | We apply a simple ABCD matrix formalism to investigate beam propagation in left-handed material (LHM) slab systems. Firstly, we derive the expressions for the matrix elements for a single LHM slab. Based on the ABCD matrix, we obtain the field distributions both inside and outside the LHM slab, and the conditions for focusing and phase compensation of the Gaussian beam. Secondly, the derived ABCD law is applied to analyze the propagation properties of Gaussian beams through various cascaded LHM slab systems. The corresponding focusing and phase compensation conditions of the Gaussian beam are also obtained. Our theoretic formalism may be applied as a compact and effective tool for the research of light beam propagation in complex LHM slab systems, since it avoids the complicated integral operation. |
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| Keywords: | 42.25.&minus p 42.79.&minus e 41.20.Jb |
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