Relations Between Hermite And Laguerre Gaussian Modes

    Authors

    I. Kimel;L. R. Elias

    Comments

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    Abbreviated Journal Title

    IEEE J. Quantum Electron.

    Keywords

    Engineering, Electrical & Electronic; Optics; Physics, Applied

    Abstract

    Relations between Hermite (HG) and Laguerre (LG) Gaussian modes are derived. With these, a LG mode is written as a sum of HG modes, and vice versa. These mode relations are derived from addition identities between a Laguerre polynomial and a pair of Hermite polynomials. The addition relations are derived in two appendices. One figure illustrates the contents of a LG mode in terms of HG modes while a second figure shows the translation in the opposite direction.

    Journal Title

    Ieee Journal of Quantum Electronics

    Volume

    29

    Issue/Number

    9

    Publication Date

    1-1-1993

    Document Type

    Article

    Language

    English

    First Page

    2562

    Last Page

    2567

    WOS Identifier

    WOS:A1993MM21500017

    ISSN

    0018-9197

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