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Improved Semi Analytical Model of Effective Area for a Step and Parabolic–Index Optical Fiber: Introduction of Increased Parameters in Fundamental Modal Field

by Raja Roy Choudhury, Arundhati Roy Choudhury, Mrinal Kanti Ghose
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 49 - Number 22
Year of Publication: 2012
Authors: Raja Roy Choudhury, Arundhati Roy Choudhury, Mrinal Kanti Ghose
10.5120/7907-1293

Raja Roy Choudhury, Arundhati Roy Choudhury, Mrinal Kanti Ghose . Improved Semi Analytical Model of Effective Area for a Step and Parabolic–Index Optical Fiber: Introduction of Increased Parameters in Fundamental Modal Field. International Journal of Computer Applications. 49, 22 ( July 2012), 45-50. DOI=10.5120/7907-1293

@article{ 10.5120/7907-1293,
author = { Raja Roy Choudhury, Arundhati Roy Choudhury, Mrinal Kanti Ghose },
title = { Improved Semi Analytical Model of Effective Area for a Step and Parabolic–Index Optical Fiber: Introduction of Increased Parameters in Fundamental Modal Field },
journal = { International Journal of Computer Applications },
issue_date = { July 2012 },
volume = { 49 },
number = { 22 },
month = { July },
year = { 2012 },
issn = { 0975-8887 },
pages = { 45-50 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume49/number22/7907-1293/ },
doi = { 10.5120/7907-1293 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:47:02.570342+05:30
%A Raja Roy Choudhury
%A Arundhati Roy Choudhury
%A Mrinal Kanti Ghose
%T Improved Semi Analytical Model of Effective Area for a Step and Parabolic–Index Optical Fiber: Introduction of Increased Parameters in Fundamental Modal Field
%J International Journal of Computer Applications
%@ 0975-8887
%V 49
%N 22
%P 45-50
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

An accurate three parameter approximate solution of fundamental mode, to describe different propagation parameter of graded-index optical fiber has been presented. Due to three parameter optimization of the fundamental modal solution, the results are much more accurate for a wide range of optical fiber specifications. Employing variational technique, an estimation of effective area and effective index with proposed fundamental modal field are carried out. It has been shown that the results match identically with the exact available results for step and parabolic refractive index profile optical fiber. The accurate analytical expressions for the evaluation of effective area and effective index are formulated. Optimization of three parameters has been carried out for a wide range of normalized frequencies. Data for these parameters are also provided, which can be used directly while calculating different design parameters of an optical fiber.

References
  1. D. Marcuse, "Gaussian approximation of the fundamental mode of graded-index fibers," J. Opt. Soc. Am. 68, 103-109 (1978).
  2. A. Sharma and A. K. Ghatak, "A variational analysis of single mode graded-index fibers," Opt. Comm. 36, 22-24 (1981).
  3. A. Sharma, S. I. Hossain and A. K. Ghatak, "The fundamental mode of graded-index fibers: Simple and accurate variational methods," Opt. and Quantum Elect. 14, 7-15 (1982).
  4. S. C. Chao, W. H. Tasi and M. S. Wu, "Extended Gaussian approximation for single-mode graded-index fibers," J. Lightwave Tech. 12, 392-395 (1994).
  5. A. Ankiewicz and G. D. Peng, "Generalized Gaussian approximation for single-mode fibers" J. Lightwave Tech. 10 (1), 22-27 (1992).
  6. G. De Angelis, G. Panariello and A. Scaglione, "A variational method to approximate the field of weakly guiding optical fibers by Laguerre-Gauss/Bessel expansion," J. Lightwave Tech. 17, 2665-2674 (1999).
  7. Q. Cao and S. Chi, "Approximate analytical description for fundamental-mode fields of graded-index fibers: Beyond the Gaussian approximation," J. Lightwave Tech. 18 (1), 54-59 (2001).
  8. A. K. Ghatak, R. Srivastava, I. F. Faria, K. Tyagarajan and R. Tewari, "Accurate method for characterizing single mode fibers: Theory and Experiment," Elect. Lett. 19(3), 97-99 (1983).
  9. J. C. Lagarias, , J. A. Reeds, M. H. Wright, and P. E. Wright,. , "Convergence Properties of the Nelder- Mead Simplex Method in Low Dimensions", SIAM J. Optim. 9, pp. 112–147(1998).
  10. J. M. Parkinson and , D. Hutchinson. , "An investigation into the efficiency of variants on the simplex method", in Numerical Methods for Nonlinear Optimization, F. A. Lootsma (Ed. ), (Academic Press, 1972) pp. 115–135.
  11. M. H. Wright, ,"Direct Search Methods: Once Scorned, Now Respectable", in Numerical Analysis 1995, Proceedings of the 1995 Dundee Biennial Conference in Numerical Analysis, D. F. Griffiths and G. A. Watson (Eds. ), (Addison Wesley Longman, 1996), pp. 191–208.
  12. J. A. Nelder and R. Mead, "A simplex method for function minimization", Comput. J. , 7, pp. 308-313(1965).
  13. T. H Rowan, "Functional Stability Analysis of Numerical Algorithms", Ph. D. thesis, (University of Texas, Austin, 1990).
  14. Sanja. Singer and Saša. Singer, "Complexity Analysis of Nelder-Mead Search Iterations", in Proceedingsof the 1. Conference on Applied Mathematics and Computation, Dubrovnik, Croatia, 1999, M. Rogina, V. Hari, N. Limi?, and Z. Tutek (Eds. ), (PMF–Matemati?ki odjel, Zagreb, 2001) pp. 185–196.
  15. Saša. Singer, and Sanja. Singer, , "Efficient Implementation of the Nelder-Mead Search Algorithm",Appl. Numer. Anal. Comput. Math. 1, No. 3, pp. 524–534(2004).
  16. I. S. Gradshteyn and I. M Ryzhik, Table of Integrals, series and products, (Academic, 1980).
  17. M. Abramowitz and I. A Stegun, Handbook of Mathematical Functions, (Dover, 1981).
  18. K. Kawano, T. Kitoh: "Introduction to Optical Waveguide Analysis", (John Willy and Sons, 2001),
Index Terms

Computer Science
Information Sciences

Keywords

Single mode fiber Effective Area Nelder-Mead

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