90 likes | 327 Views
Study on Dispersion Compensating Fibers. Presented by Rajkumar Modak (2011PHS7184) Suvayan Saha (2011PHS7099). Under the Guidance of Prof. B.P. Pal Dr. R.K.Varshney. Ref: Google Images. Work Plan.
E N D
Study on Dispersion Compensating Fibers Presented by RajkumarModak (2011PHS7184) SuvayanSaha (2011PHS7099) Under the Guidance of Prof. B.P. Pal Dr. R.K.Varshney Ref: Google Images
Work Plan • Study on dispersion compensating fibers (DCF) • Study on coaxial index guiding DCF • Study on microstructured fibers
BASIC PRINCIPLE where = material dispersion coefficient, = waveguide dispersion coefficient. • To achieve zero dispersion where, and are the lengths of SMF & DCF respectively. Ref: Ghatak & Thyagarajan-Introduction to fiber optics, chapter 15
STRUCTURES ON WHICH WE ARE GOING TO WORK Fig -1(b): R.I.profile of a tube fiber Fig-1(a): R.I. profile of a conventional fiber n1>n2>n3 Fig. 1(c): R.I.profile of co-axial index guiding dispersion compensating fiber • Ref: 1. Ghatak & Thyagarajan-Introduction to fiber optics, chapter 15, • 2. Lars Grüner-Nielsen, Marie Wandel, Poul Kristensen, Carsten Jørgensen, Lene Vilbrad Jørgensen, Bent Edvold, Bera • Pálsdóttir, and Dan Jakobsen.,Journal of Lightwave Technology, Vol. 23, No. 11, November 2005
Methodology • Matrix formulation: • Scalar equation: where =propagation const. where. = , =guided wavelength The solution for j th region is, Boundary conditions at j th & j+1 gives the matrix where an arbitrary variation of is replaced by a large number of steps Ref: Ghatak & Thyagrajan – Introduction to fiber optics , chapter-25
WORK DONE SO FAR For single modes at = 1 µm. Fig-2(b) n1=1.503,n2=1.500,d1=4 µm.,d2=4 µm. Fig-2(a) calculated b = 0.53184 ( result according to book=0.53177) Fig-3(b) Fig-3(a)n1=1.503,n2=1.500,d1=12µm,d2=4µm,d3=µm calculated b = 0.5312(result according to book= 0.5312) Ref: Ghatak & Thyagrajan – Introduction to fiber optics , chapter-25
For double modes at = .5 µm. Fig-4(a) Fig-4(b) n1=1.503,n2=1.5,d1=12µm,d2=4µm,d3=µm Fig-5(c) Fig-5(d) calculated b= 0.2381 (result according to book = 0.2379) calculated b= 0.7896 (result according to book = 0.78959) Ref: Ghatak & Thyagrajan – Introduction to fiber optics , chapter-25
Related References 1.Ajoy Ghatak & K. Thyagrajan – Introduction to fiber optics 2.K. Thyagrajan & B.P. Pal – Journal of optical and fiber communications reports,4,2007 3.Lars Grüner-Nielsen,Marie Wandel, Poul Kristensen, Carsten Jørgensen, Lene Vilbrad Jørgensen, Bent Edvold, Bera Pálsdóttir, and Dan Jakobsen. - Journal of Lightwave Technology , Vol. 23 , No. 11 , November 2005. 4.Cheng-Chun Chang and Andrew M. Weiner IEEE Journal for Quantum electronics , Vol. 33 , No 09 , September 1997.