Guided modes in a rectangular waveguide with semiconductor metamaterial

Tang Tingting; Chen Fushen; Sun Bao

doi:10.1088/1674-4926/31/5/054005

J. Semicond. > 2010, Volume 31 > Issue 5 > 054005

SEMICONDUCTOR DEVICES

Guided modes in a rectangular waveguide with semiconductor metamaterial

Tang Tingting, Chen Fushen and Sun Bao

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DOI: 10.1088/1674-4926/31/5/054005

Abstract: The dispersion equations of bulk modes and surface modes in a rectangular waveguide of semiconductor metamaterial are derived by a modified “Marcatili’s method”. The cutoff frequencies of the lowest TM bulk mode are discussed, and the Brillouin diagrams of different bulk modes are drawn. They demonstrate that different heights correspond to different guidance frequency ranges which have no superposition with each other and a waveguide with a larger height possesses a wider passband of light. In addition, tendencies of degeneracy for different modes are observed. Finally, the existence of surface modes is verified by a graphical method.

Key words: semiconductor metamaterial, rectangular waveguide, bulk mode, surface mode

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Tang Tingting, Chen Fushen, Sun Bao. Guided modes in a rectangular waveguide with semiconductor metamaterial[J]. Journal of Semiconductors, 2010, 31(5): 054005. doi: 10.1088/1674-4926/31/5/054005

Tang T T, Chen F S, Sun B. Guided modes in a rectangular waveguide with semiconductor metamaterial[J]. J. Semicond., 2010, 31(5): 054005. doi: 10.1088/1674-4926/31/5/054005.

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Received: 18 August 2015 Revised: 07 January 2010 Online: Published: 01 May 2010

The dispersion equations of bulk modes and surface modes in a rectangular waveguide of semiconductor metamaterial are derived by a modified “Marcatili’s method”. The cutoff frequencies of the lowest TM bulk mode are discussed, and the Brillouin diagrams of different bulk modes are drawn. They demonstrate that different heights correspond to different guidance frequency ranges which have no superposition with each other and a waveguide with a larger height possesses a wider passband of light. In addition, tendencies of degeneracy for different modes are observed. Finally, the existence of surface modes is verified by a graphical method.

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