Title :
Numerical analysis of optical fibers using matrix approach
Author :
Shenoy, M.R. ; Thyagarajan, K. ; Ghatak, A.K.
Author_Institution :
Dept. of Phys., Indian Inst. of Technol., New Delhi, India
fDate :
8/1/1988 12:00:00 AM
Abstract :
The authors conduct a numerical analysis of optical fibers characterized by arbitrarily graded, cylindrically symmetric refractive index profiles by transforming them into equivalent planar profiles and using a matrix approach developed earlier for the analysis of planar optical waveguides (see ibid., vol.5, p.660-7, 1987). The method, which involves only straightforward multiplication of 2×2 matrices, can be used to calculate the propagation constant, modal field profiles, leakage/absorption loss, etc. of fibres with arbitrarily graded profiles. The applicability of the method has been shown through calculations of propagation constant and modal fields of single-clad and coaxial step-index fibers. Calculations of leakage loss of LP01 and LP11 modes in depressed inner clad fibers have also been presented. The method was also used to determine the coupling length in a coaxial optical-fiber coupler, which has potential applications in optical-fiber sensing
Keywords :
matrix algebra; optical fibres; optical losses; refractive index; 2×2 matrices; LP01 modes; LP11 modes; absorption loss; coaxial optical-fiber coupler; coaxial step-index fibers; coupling length; depressed inner clad fibers; leakage loss; matrix; modal field profiles; numerical analysis; optical fibers; optical-fiber sensing; planar optical waveguides; propagation constant; refractive index profiles; single-clad fibres; Coaxial components; Numerical analysis; Optical fiber losses; Optical fibers; Optical refraction; Optical sensors; Optical variables control; Propagation constant; Symmetric matrices; Transmission line matrix methods;
Journal_Title :
Lightwave Technology, Journal of