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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2011-03-30
A Fundamental Limit on Subwavelength Guided Waves
By
Amir Arbabi,

    Mr. Amir Arbabi

    Department of Electrical and Computer Engineering

    University of Illinois at Urbana-Champaign

    United States

    Homepage

E. Arbabi,

    Dr. E. Arbabi

    School of Electrical and Computer Engineering

    University of Tehran

    Iran

    Homepage

Safieddin Safavi-Naeini

    Dr. Safieddin Safavi-Naeini

    Department of Electrical and Computer Engineering

    University of Waterloo

    Canada

    Homepage

Progress In Electromagnetics Research M, Vol. 17, 253-265, 2011
doi:10.2528/PIERM11012901 | Google Scholar

Abstract
A fundamental relation between the cross sectional confinement of an arbitrary mode of a general waveguide and its propagation length is found. It is shown that due to material loss of the waveguide, the propagation length shrinks as the confinement of the mode increases. Normalized second central moment of magnetic energy density in the cross section plane of the waveguide is used as a measure of mode size and it is found that for a given mode size, there is a limit for the waveguide propagation length. This limit depends solely on permittivity of the waveguide material and its surrounding medium. As an application, this result provides a lower bound for propagation loss in subwavelength optical confinement in plasmonic waveguides which are of special interest for their nano-meter mode dimensions.
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Citation
Amir Arbabi, E. Arbabi, and Safieddin Safavi-Naeini, "A Fundamental Limit on Subwavelength Guided Waves," Progress In Electromagnetics Research M, Vol. 17, 253-265, 2011.
doi:10.2528/PIERM11012901
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