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  • 1
    Electronic Resource
    Electronic Resource
    Variational approximations for higher-order modes of weakly-guiding fibres (1984)
    Springer
    Optical and quantum electronics 16 (1984), S. 41-48 
    Details
    ISSN: 1572-817X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology , Physics
    Notes: Abstract Simple approximations for the fields and propagation constants of low-order modes on circular weakly guiding fibres are derived using variational techniques. The high accuracy of these approximations for quasi-parabolic profiles is demonstrated in the case of the Gaussian profile, for which there are no analytical solutions of the scalar wave equation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00619876
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  • 2
    Electronic Resource
    Electronic Resource
    A numerical technique for solving the scalar wave equation for Gaussian and smoothed-out profiles (1981)
    Springer
    Optical and quantum electronics 13 (1981), S. 217-224 
    Details
    ISSN: 1572-817X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology , Physics
    Notes: Abstract A numerical technique, based on transforming the scalar wave equation to a finite interval before discretization is applied, is proposed for the solution of the scalar wave equation defining the modal fields and propagation constants of optical fibres. It is used to compute the propagation constants and modal fields of weakly guiding fibres of circular cross-section when the refractive index profile has a Gaussian or smoothed-out form. The smoothed-out profiles are studied because they vary continuously from the Gaussian to the step profile. Results are compared with and shown to be accurately approximated by simply explicit functions, dependent only on the fibre parameter.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00620324
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    Paper (German National Licenses)
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