Simple and complete formulation to compute propagation constants of photonic crystal fibers and predict their total chromatic dispersion

Dipankar Kundu; Somenath N. Sarkar

doi:10.1117/1.OE.51.6.065004

4 June 2012 Simple and complete formulation to compute propagation constants of photonic crystal fibers and predict their total chromatic dispersion

Dipankar Kundu, Somenath N. Sarkar

Author Affiliations +

Optical Engineering, Vol. 51, Issue 6, 065004 (June 2012). https://doi.org/10.1117/1.OE.51.6.065004

Abstract

Within the scalar framework, a simple and complete formulation for the normalized propagation constants of the infinite cladding region of a photonic crystal fiber (PCF) with triangular lattice of air-holes is presented, which is dependent only on the ratio of air-hole diameters and their separation. The accuracy of the proposed formulation is depicted by comparing our results with those obtained by Russell. Then the refractive indices of the fundamental space-filling mode (nFSM) in the cladding region of the PCF from Russell's equation and the proposed relations are evaluated and the two indices are observed to match quite excellently for different values of relative air-hole size and wavelength. An equivalence between the two approaches of Russell and Saitoh is also sought. Finally, in order to check the validity of the formulation in problems of practical interest, the proposed relations are applied to evaluate the total chromatic dispersion in a PCF, treating it as a conventional step index fiber having its core and cladding indices as those of silica and nFSM, respectively. On comparison with the available results of Saitoh, the results match nicely.

Citation Download Citation

Dipankar Kundu and Somenath N. Sarkar "Simple and complete formulation to compute propagation constants of photonic crystal fibers and predict their total chromatic dispersion," Optical Engineering 51(6), 065004 (4 June 2012). https://doi.org/10.1117/1.OE.51.6.065004

Published: 4 June 2012

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available