Share This Article:

An Exact Analysis of the Fundamental and First Higher Order Mode in Graded Index Fibers with Direct Power Series Method

Abstract Full-Text HTML Download Download as PDF (Size:281KB) PP. 169-177
DOI: 10.4236/opj.2013.32028    4,014 Downloads   6,047 Views   Citations

ABSTRACT

An exact and fast analytic method based on power series is established to predict the modal field distributions, Petermann-2 spot size, the normalized propagation constant corresponding to fundamental and first higher order mode in graded index fibers with any arbitrary power law profile. The variation of normalized cut-off frequencies of some LPlm modes in graded index fibers with different profile exponents are also shown here and an empirical relation between them is determined.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

A. Chowdhury, I. Dutta and D. Kumbhakar, "An Exact Analysis of the Fundamental and First Higher Order Mode in Graded Index Fibers with Direct Power Series Method," Optics and Photonics Journal, Vol. 3 No. 2, 2013, pp. 169-177. doi: 10.4236/opj.2013.32028.

References

[1] M. Spajer and B. Charquille, “Application of Intermodal Interference to Fiber Sensors,” Optics Communications, Vol. 60, No. 5, 1986, pp. 261-264. doi:10.1016/0030-4018(86)90147-1
[2] Z. B. Tian, C. Chen and D. V. Plant, “Optical Fiber Mode Filters in the Dual Mode Fiber Transmission Systems,” IEEE Proceedings of Photonics Conference, Arlington, 9-13 October 2011, pp. 234-235.
[3] J. Jyothikumar, “All Fiber Spectral Filters Based on LP01 LP11 Mode Coupling and Applications in Wavelength Division Multiplexing and Dispersion Compensation,” Thesis Submitted, Virginia Polytechnic Institute and State University, Blacksburg, 1996.
[4] A. Al-Amin, A. Li, X. Chen and W. Shieh, “LP01/LP11 Dual-Mode and Dual Polarization CO-OFDM Transmission on Two-Mode Fiber,” Electronics Letters, Vol. 47, No. 10, 2011, pp. 606-608.
[5] A. Li, A. Al Amin, X. Chen and W. Shieh, “Reception of Mode and Polarization Multiplexed 107-Gb/s CO-OFDM Signal over a Two-Mode Fiber,” Proceedings of Optical Fiber Communication Conference and Exposition, Los Angeles, 6-10 March 2011, pp. 1-3.
[6] R. Ryf, S. Randel, A. H. Gnauck, C. Bolle, R. Essiambre, P. J. Winzer, D. W. Peckham, A. McCurdy and R. Lingle, “Space-Division Multiplexing over 10 km of Three-Mode Fiber Using Coherent 6 × 6 MIMO Processing,” Proceedings of Optical Fiber Communication Conference and Exposition, Los Angeles, 6-10 March 2011, pp. 1-3.
[7] N. Hanzawa, K. Saitoh, T. Sakamoto, T. Matsui, S. Tomita and M. Koshiba, “Demonstration of Mode-Division Multiplexing Transmission over 10 km Two-Mode Fiber with Mode Coupler,” Proceedings of Optical Fiber Communication Conference and Exposition, Los Angeles, 6 10 March 2011, pp. 1-3.
[8] A. Al Amin, A. Li, S. Chen, X. Chen, G. Gao and W. Shieh, “Dual-LP11 Mode 4 × 4 MIMO-OFDM Transmission over a Two-Mode Fiber,” Optics Express, Vol. 19, No. 17, 2011, pp. 16672-16679. doi:10.1364/OE.19.016672
[9] M. D. Feit and J. A. Fleck Jr., “Computation of Mode Eigenfunctions in Graded-Index Optical Fibers by the Propagating Beam Method,” Applied Optics, Vol. 19, No. 13, 1980, pp. 2240-2246. doi:10.1364/AO.19.002240
[10] L. S. Tamil, S. S. Mitra, R. Dutta and J. M. T. Pereira, “Finite Difference Solution for Graded-Index Cylindrical Dielectric Waveguides: A Scalar Wave Approximation,” Applied Optics, Vol. 30, No. 9, 1991, pp. 1113-1116. doi:10.1364/AO.30.001113
[11] M. R. Shenoy, K. Thyagarajan and A. K. Ghatak, “Nu merical Analysis of Optical Fibers Using Matrix Approach,” Journal of Lightwave Technology, Vol. 6, No. 8, 1988, pp. 1285-1291. doi:10.1109/50.4132
[12] K. Okamoto and T. Okoshi, “Analysis of Wave Propagation in Optical Fibres Having Core with α-Power Refractive Index Distribution and Uniform Cladding,” IEEE Transactions of Microwave Theory and Techniques, Vol. 24, No. 7, 1976, pp. 416-421.
[13] A. Sharma and A. K. Ghatak, “A Variational Analysis of Single Mode Graded-Index Fibers,” Optics Communica tions, Vol. 36, No. 1, 1981, pp. 22-24. doi:10.1016/0030-4018(81)90022-5
[14] S. Gangopadhyay, M. Sengupta, S. K. Mondal, G. Das and S. N. Sarkar, “Novel Method for Studying Single Mode Fibers Involving Chebyshev Technique,” Journal of Optical Communications, Vol. 18, No. 2, 1997, pp. 75-78.
[15] I. Dutta, A. R. Chowdhury and D. Kumbhakar, “Accurate Estimate of Some Propagation Characteristics for the First Higher Order Mode in Graded Index Fiber with Simple Analytic Chebyshev Method,” Journal of Optical Communications, Vol. 34, No. 1, 2013, pp. 33-41.
[16] W. A. Gambling and H. Matsumura, “Propagation in Ra dially-Inhomogeneous Single-Mode Fibre,” Optical and Quantum Electronics, Vol. 10, No. 1, 1978, pp. 31-40. doi:10.1007/BF00620241
[17] W. A. Gambling, H. Matsumura and C. M. Ragdale, “Wave Propagation in a Single-Mode Fiber with Dip in the Refractive Index,” Optical and Quantum Electronics, Vol. 10, No. 4, 1978, pp. 301-309. doi:10.1007/BF00620118
[18] E. K. Sharma, I. C. Goyal and A. K. Ghatak, “Calculation of Cut-Off Frequencies in Optical Fibers for Arbitrary Profiles Using the Matrix Method,” IEEE Journal of Quantum Electronics, Vol. 17, No. 12, 1981, pp. 2317-2321. doi:10.1109/JQE.1981.1071045
[19] J. P. Meunier, J. Pigeon and J. N. Massot, “Perturbation Theory for the Evaluation of the Normalized Cut-Off Frequencies in Radially Inhomogeneous Fibres,” Electronics Letters, Vol. 16, No. 1, 1980, pp. 27-29. doi:10.1049/el:19800023
[20] K. Hotate and T. Okoshi, “Formula Giving Single-Mode Limit of Optical Fibre Having Arbitrary Refractive Index Profile,” Electronics Letters, Vol. 14, No. 8, 1978, pp. 246-248. doi:10.1049/el:19780167
[21] A. Ghatak and K. Thyagarajan, “An Introduction to Fiber Optics,” Cambridge University Press, Cambridge, 1999.
[22] A. Bose, S. Gangopadhyay and S. C. Saha, “A Simple Method of Prediction of Fractional Modal Power Guided inside the Core, Excitation Efficiency of the Mode by Uniform Light Source and Petermann I and II Spot Sizes: All for First Higher Order Mode in Graded Index Fibers,” Optik, Vol. 122, No. 3, 2011, pp. 215-219. doi:10.1016/j.ijleo.2009.12.011

  
comments powered by Disqus

Copyright © 2020 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.