Acta Photonica Sinica, Volume. 35, Issue 10, 1484(2006)
Transfer Matrix in a Negative-refractive-index Medium and Its Application to the Investigation of Characteristics of a Left-handed Waveguide
The transfer matrix of the slab waveguide made up of a negative-refractive-index material is solved using the rigorous electromagnetic wave theory. The characters and application of the transfer matrix were also discussed. The dispersion relations of the three-layer symmetric slab waveguide possessing a negative-refractive-index guiding layer and positive-refractive-index surrounding medium are investigated by the transfer matrix method. The exotic properties of guided transverse electric(TE) waves in a left-handed waveguide were investigated graphically. There are no fundamental modes in a left-handed waveguide. The lowest mode was the first-order mode which had cutoff frequency. The first-order mode exits only when the parameters of the left-handed waveguide satisfied certain terms. Guided modes existed both for imaginary transverse wave numbers and real transverse wave numbers in a left-handed waveguide,while guided modes only exist only for real transverse wave numbers in a right-handed waveguide.
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Xiao Binggang, Han Zhanghua, He Jinlong. Transfer Matrix in a Negative-refractive-index Medium and Its Application to the Investigation of Characteristics of a Left-handed Waveguide[J]. Acta Photonica Sinica, 2006, 35(10): 1484
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Received: Jun. 5, 2005
Accepted: --
Published Online: Jun. 3, 2010
The Author Email: Binggang Xiao (bgxiao@cjlu.edu.cn)
CSTR:32186.14.