It is well known that the modes of ideal stable laser resonators can be described by the solutions of the three-dimensional wave equation(Helmholtz equation) in the paraxial regime. When the resonator has circular cylindric geometry the laser modes are described by the Laguerre-Gaussian modes whereas the modes are Hermite-Gaussian when a rectangular geometry exists. In this paper we have analysed the spheroidal harmonics which are the exact nonparaxial modes of the wave equation. The Laguerre- and Hermite-Gaussian modes are characterised by their beam waist, beyond a critical value of the ellipticity parameter, there exists a relation with the beam waist of the paraxial modes.


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    Titel :

    Exact scalar nonparaxial laser resonator modes


    Beteiligte:


    Erscheinungsdatum :

    01.01.2003


    Format / Umfang :

    76948 byte




    Medientyp :

    Aufsatz (Konferenz)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch



    Comparison of paraxial and nonparaxial spheroidal-Gaussian modes with Hermite-Gaussian and Laguerre-Gaussian modes [2870-18]

    Landesman, B. T. / National Optics Institute | British Library Conference Proceedings | 1996


    Characterization of nonparaxial radiation [2870-15]

    Scholl, M. / National Optics Institute | British Library Conference Proceedings | 1996


    Exact transcendental equation for scalar modes of rectangular dielectric waveguides

    Smartt, C. J. / Benson, T. M. / Kendall, P. C. | British Library Online Contents | 1994



    Simple Nonparaxial Beam-Propagation Method for Integrated Optics

    Hernandez-Figueroa, H. E. | British Library Online Contents | 1994