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Asymptotic evaluation of the normalised cut-off frequencies of an optical waveguide with quadratic index variation

Asymptotic evaluation of the normalised cut-off frequencies of an optical waveguide with quadratic index variation

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Asymptotic expressions for normalised cut-off frequencies of modes having large meridional order n and small azimuthal order m are obtained for an inhomogeneous waveguide having quadratic index variation. A fractional integral technique is used to construct solutions directly from the differential equation in the form of an integral representation, which is expanded by the steepest-descent procedure.

References

    1. 1)
      • C.G. Someda , M. Zoboli . Cut-off wavelengths of guided modes in optical fibres with square-law core profile. Electron. Lett. , 602 - 603
    2. 2)
      • E. Bianciardi , V. Rizzoli . Propagation in graded-core fibres; a unified numerical description. Opt. & Quant. Electron.
    3. 3)
      • K. Okamoto , T. Okoshi . Analysis of wave propagation in optical fibres having core with α-power refractive index distribution and uniform cladding. IEEE Trans.
    4. 4)
      • P.J.B. Clarricoats , K.B. Chan . Electromagnetic wave propagation along radially inhomogeneous dielectric cylinders. Electron. Lett. , 694 - 695
    5. 5)
      • D. Gloge , E.A.J. Marcatili . Multimode theory of graded index fibres. Bell Syst. Tech. J.
    6. 6)
      • D. Marcuse . Cut-off condition of optical fibres. J. Opt. Soc. Am.
    7. 7)
      • I. Mogi . (1977) , Differential equations.
    8. 8)
      • H. Buchholz . (1961) , The confluent hypergeometric function.
    9. 9)
      • L.J. Slater . (1960) , Confuent hypergeometric functions.
    10. 10)
      • B. Ross . (1975) , Fractional calculus and its applications. Lecture notes in mathematics.
    11. 11)
      • A. Erdély , W. Magnus , F. Oberhettinger , F.G. Tricomi . (1953) , Higher transcendental functions: Bateman project –.
    12. 12)
      • B. Felsen , N. Marcuvitz . (1973) , Radiation and scattering of waves.
    13. 13)
      • M. Hashimoto , S. Nemoto , T. Makimoto . Analsyis of guided waves along the cladded optical fibre; parabolic index core and homogeneous cladding. IEEE Trans.
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