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

For access to this article, please select a purchase option:

Buy article PDF
(plus tax if applicable)
Buy Knowledge Pack
10 articles for $120.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Your details
Why are you recommending this title?
Select reason:
IEE Journal on Microwaves, Optics and Acoustics — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

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.


    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.

Related content

This is a required field
Please enter a valid email address