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.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Exact scalar nonparaxial laser resonator modes


    Contributors:


    Publication date :

    2003-01-01


    Size :

    76948 byte




    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



    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