Journal ArticleDOI
Polarization corrections to mode propagation on weakly guiding fibers
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TLDR
In this article, the effect of the change in refractive index across the fiber was quantified and it was shown that the waveguide dispersion of the fundamental mode by the fiber is virtually unaffected by the polarization properties of the fiber.Abstract:
In the weak-guidance approximation, the properties of fundamental modes of optical fibers depend on solutions of the scalar-wave equation and contain no polarization effects that are due to the fiber. In this paper, we derive polarization-dependent corrections for the clad power-law and infinite parabolic profiles to quantify the effect of the change in refractive index across the fiber. In particular, the waveguide dispersion of the fundamental mode by the fiber is found to be virtually unaffected by the polarization properties of the fiber.read more
Citations
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Journal ArticleDOI
Generalized Beam Matrices: Gaussian Beam Propagation in Misaligned Complex Optical Systems
TL;DR: In this paper, a 3 × 3 transfer-matrix method is developed to propagate off-axis Gaussian beams in astigmatic optical systems that may include tilted, displaced, or curved optical elements.
Book ChapterDOI
I Polarimetric optical fibers and sensors
TL;DR: In this paper, the authors provide an overview of the physical origin of the perturbations on the lowest-order mode propagation in highly birefringent (HB) polarization-maintaining fibers, together with their impact on applications in optical fiber sensors and systems.
Journal ArticleDOI
A scalar coupled-mode theory with vector correction
TL;DR: In this article, a coupled-mode formulation based on scalar modes is developed for guided-wave devices in optoelectronics and fiber optics, where the vector property of the electromagnetic field is represented as additional coupling to the coupling due to the refractive-index perturbations.
Journal ArticleDOI
LP modes and ideal modes on optical fibers
Jing-ren Qian,Wei-ping Huang +1 more
TL;DR: In this article, the transformation from coupled-mode equations for LP modes to those for ideal modes and the expressions of one set of modes in terms of linear combinations of the other sets of modes are studied, using the coupledmode theory.
Journal ArticleDOI
Gaussian beam optical systems with high gain or high loss media
A.A. Tovar,L.W. Casperson +1 more
TL;DR: In this paper, a procedure for propagating Gaussian beams in optical systems that may include unsaturated amplifiers and similar absorbers with non-negligible gain per wavelength was developed.
References
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Journal ArticleDOI
Handbook of Mathematical Functions
Journal ArticleDOI
Modes of optical waveguides
Allan W. Snyder,William R. Young +1 more
TL;DR: In this article, a simple method is presented for finding the modes on those optical waveguides with a cladding refractive index that differs only slightly from the core, and the resulting modal fields and their progagation constants display the polarization properties of the waveguide contained within the ∇ ∊ term of the vector wave equation.
Journal ArticleDOI
Cut-off frequency in radially inhomogeneous single-mode fibre
TL;DR: In this paper, the limit for single-mode operation in a graded-index fiber was obtained by calculating the normalised cut-off frequency of the TE01 mode, and the affect of diffusion at the core-cladding boundary has been estimated.
Journal ArticleDOI
Green’s-function methods for perturbed optical fibers
TL;DR: In this paper, the authors describe the general technique and consider specific examples of weakly guiding optical fibers, using Green's functions as a more direct method of solution compared with eigenfunction expansions.