Fast and simple method for calculation of the mode field diameter of arbitrary order guided mode in weakly guiding optical fibers

We present fast and simple method for calculation the mode field diameter of arbitrary order guided mode propagating over weakly-guiding optical fibers with an arbitrary refractive index profile in the core region bounded by single solid outer cladding. Proposed method is based on modified Gaussian approximation extended to the considered problem. We tested it for prediction the insertion loss at splice of conventional singlemode and multimode optical fibers with precision transversal offset and compared the results with the measured values, getting a close matching.

[1]  Vladimir A. Burdin,et al.  Remote test methods of optical cable short insert losses , 2000, International Symposium on Advanced Optical Manufacturing and Testing Technologies (AOMATT).

[2]  D. Hall,et al.  An introduction to optical waveguides , 1982, Proceedings of the IEEE.

[3]  Colin Pask,et al.  Experimental characterisation of graded-index single-mode fibres , 1980 .

[4]  Ji’an Duan,et al.  Evaluation of Mode Field Diameter of Step-Index Fibers and Comparison Analysis , 2013 .

[5]  P.Y.P. Chen,et al.  Equivalent-step-index parameters for single-mode fibres having a power-law profile , 1984 .

[6]  Anton V. Bourdine,et al.  CALCULATION OF TRANSMISSION PARAMETERS OF THE LAUNCHED HIGHER-ORDER MODES BASED ON THE COMBINATION OF A MODIFIED GAUSSIAN APPROXIMATION AND A FINITE ELEMENT METHOD , 2013 .

[7]  C. A. Millar Direct method of determining equivalent-step-index profiles for monomode fibres , 1981 .

[8]  Masanori Koshiba,et al.  A vector finite element method with the high-order mixed-interpolation-type triangular elements for optical waveguiding problems , 1994 .

[9]  Anton V. Bourdine,et al.  Modeling and Simulation of Piecewise Regular Multimode Fiber Links Operating in a Few-Mode Regime , 2013 .

[10]  I. C. Goyal,et al.  Fiber spot size: a simple method of calculation , 1993 .

[11]  S. C. Mettler,et al.  Modal analysis of loss and mode mixing in multimode parabolic index splices , 1983, The Bell System Technical Journal.

[12]  E Brinkmeyer,et al.  Spot size of graded-index single-mode fibers: profile-independent representation and new determination method. , 1979, Applied optics.

[13]  S. I. Hosain,et al.  Variational Approximations for Single-mode Graded-index Fibers: Some Interesting Applications , 2003 .

[14]  Krishna Thyagarajan,et al.  Accurate method for characterising single-mode fibres: theory and experiment , 1983 .

[15]  Dietrich Marcuse,et al.  Gaussian approximation of the fundamental modes of graded-index fibers , 1978 .

[16]  James S. Harris,et al.  Tables of integrals , 1998 .

[17]  G. R. Hadley,et al.  Optical Waveguide Theory and Numerical Modelling , 2004 .

[18]  Anton V. Bourdine,et al.  Mode coupling at the splice of diverse optical fibers , 2013, Other Conferences.

[19]  M. Abramowitz,et al.  Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55) , 1965 .

[20]  C. D. Hussey,et al.  (E)ESI determination from mode-field diameter and refractive index profile measurements on single-mode fibres , 1988 .

[21]  S. I. Hosain,et al.  An accurate splice loss analysis for single-mode graded-index fibers with mismatched parameters , 1992 .

[22]  T. Suganuma,et al.  Normalization of single-mode fibers having an arbitrary index profile. , 1980, Applied optics.

[23]  T. Makimoto,et al.  Analysis of splice loss in single-mode fibres using a Gaussian field approximation , 1979 .