Analytical Expression for Dispersion Properties of Circular Core Dielectric Waveguide without computing (d^2 ß)/(dk^2 ) Numerically

S. K. Raghuwanshi*, Santosh Kumar**
*-** Department of Electronics Engineering, Indian School of Mines, India.
Periodicity:February - April'2012
DOI : https://doi.org/10.26634/jfet.7.3.1798

Abstract

Waveguide dispersion can be tailored but not the material dispersion. Hence the total dispersion can be shifted at any desired band by adjusting the waveguide dispersion. Waveguide dispersion is proportional to and need to be found numerically. In this paper we have tried to compute analytical expression for  in terms of.  To compute  accurately,  should be accurate enough up to  decimal point. This constraint sometimes generates the error in calculation of waveguide dispersion. In this paper we have tried to compute analytical expression for  in terms of. It reveals that we can compute waveguide dispersion enough accurately for various modes having known only -

Keywords

Waveguide dispersion, Index of refraction, Velocity, Eigen value.

How to Cite this Article?

Raghuwanshi , S.K., and Kumar, S. (2012). Analytical Expression For Dispersion Properties Of Circular Core Dielectric Waveguide Without Computing Numerically. i-manager’s Journal on Future Engineering and Technology, 7(3), 26-34. https://doi.org/10.26634/jfet.7.3.1798

References

[1]. Allan W. Snyder and John D. Love, (1983). Optical Waveguide Theory, Chapman and Hall, New York.
[2]. Allen H. Cherlin, (1983). An Introduction to Optical Fibers, McGraw Hill Book Co. New-York.
[3]. D. Marcuse (1982). Light Transmission Optics, Van Nostrand Reinhold, New York, 1982.
[4]. D. Gloge, (1971). “Weakly Guiding Fibers”, Applied Optics, 10, 2252-2258.
[5]. Gerd Keiser, (2000). Optical Fiber Communication, 3 Edition. McGraw-Hill International Edition, Electrical Engineering Series, New York.
[6]. E. Snitzer, (1961). “Cylindrical dielectric waveguide modes,” J. Opt. Soc. Amer., 51 (May) 491-498.
[7]. J. Midwinter, (1979). Optical Fibers for Transmission, Wiley New York.
[8]. T. Okoshi, (1982). Optical Fibers, New York, Academic Press.
[9]. G.N. Waston, (1962). Theory of Bessel Function, New York, Cambridge University Press.
[10]. D. Gloge, (1971). “Dispersion in weakly guiding fibers,” Applied Opt. 10, 2442-2445.
[11]. R.E. Collin, (1960). Field Theory of Guided Waves, New York, McGraw Hill.
[12]. S.K. Raghuwanshi and V. Kumar, (2010). “Analysis of double clad single-mode step-index fibers having depressed versus raised inner cladding”, Int. Conf. in comm., computation control and nano-tech. (ICN 2010), Bhalki India, 29-30, Nov.
[13]. S.K. Raghuwanshi, (2011). Contemporary Optical Fiber Technology, Agarwal Publication, Agra, India (First Edition).
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