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Analytical Approach to Analyze Mode Fields in Arbitrary Index Fibre with Non Circular Geometry

S. K. Raghuwanshi*, **

* Fiber Optics Laboratory, Department of Electronics Engineering, Indian School of Mines, Dhanbad, India.

** Department of Electronics and Communication Engineering, Indian School of Mines Dhanbad

Periodicity:September - November'2012
DOI : https://doi.org/10.26634/jele.3.1.2034

Abstract

In this paper elliptic cylinder coordinate system is used for the representation of modes in the core of non circular fibre. The scalar wave equation is converted to the elliptical coordinate system and the WKB method is applied for the calculation of fields. The author’s try to develop analytical approach to analyze non circular geometry having an arbitrary refractive index. The result obtained in this paper have been already discussed by the several researcher’s but these research paper lack with the detailed mathematical derivation to achieve some specific equations. The attempts in this paper is to show all the intermediate steps of existing results, which will useful for the beginner, who wants to gain the working knowledge in this area[1]. The result obtained in this paper can be easily extended to obtain the graphical or simulation results for non trivial cases.

Keywords

Non-Circular Core Fiber, Mode field Profile, WKB method, Elliptical Core Fiber, Arbitrary Index Profile Fiber.

How to Cite this Article?

S. K. Raghuwanshi and Mandeep Singh (2012). Analytical Approach To Analyze Mode Fields In Arbitrary Index Fibre With Non Circular Geometry. i-manager’s Journal on Electronics Engineering, 3(1), 7-16. https://doi.org/10.26634/jele.3.1.2034

References

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[4]. C. Yeh, (1962). J. Appl. Phys. 33, 3235-43.

[5]. Adrian Ankiewicz, (1979). ”Core fields in graded fibres with non circular index contours”, Optical and Quantum Electronics 11p- 525-539.

[6]. J . Wilson, and J.F.B., Hawkes , (2000) . “Optoelectronics- An Introduction” (Prentice Hall of India, New Delhi), p -425.

[7]. Vivek Singh, A.K., Shahi, S.P., Ojha, (2007). ”Propagation characteristics of an Elliptically-cored highly birefringent fiber using an analytical method”, Springer.

[8]. Z. Wang, J. Ju, W. Jin, (2005). ”Properties of ellipticalcore two- mode fiber” Optical express, Vol.13, No.11.

[9]. M. Skinner, (1986). “Simple approximation formulae for elliptical dielectric waveguides” Optical and Quantum Electronics, 18 p- 345-354.

[10]. R.B. Dyott, (1995). “Elliptical fiber waveguides”, Norwood, MA: Artech house.

[11]. N.W. Mclachan, “ Theory and application of Mathieu fucntions” p-170.

[12]. Markj, Ablowitz, Athanassios, S. “Complex Variables: Introduction and Application” p-501.

Analytical Approach to Analyze Mode Fields in Arbitrary Index Fibre with Non Circular Geometry

Abstract

Keywords

How to Cite this Article?

References

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