NDLI: A Geometrical Perspective on the Coherent Multimode Optical Field and Mode Coupling Equations

Content Provider	IEEE Xplore Digital Library
Author	Wood, W.A. Miller, W. Mlejnek, M.
Copyright Year	1965
Abstract	The generalization of the Poincaré sphere to N ≥ 2 modes is the (N - 1)-dimensional complex projective space CP(N - 1). There is a minimal set of 2N - 2 Stokes vector components that determine the coherent multimode optical field. These are obtained from the inverse stereographic projection of coordinate hyperplanes in CP(N -1) into a 2N -2 sphere, just as in the N = 2 case. We derive N-mode analogs of Poole's optical fiber polarization-mode dispersion (PMD) equations that involve only 2N - 2 independent variables. This is achieved by means of an explicit generalized coherent state representation of the optical field, which enables the components of the PMD vector to be expressed in terms of the optical state and its frequency derivatives. Poole's equations describe mode coupling as a flow on CP(N -1). We give general constraints on the mode-coupling matrix and Stokes vector components. The group delay operator is shown to be a rank-2 perturbation of a diagonal matrix.
Sponsorship	IEEE Lasers and Electro-Optics Society
Starting Page	1
Ending Page	6
Page Count	6
File Size	554191
File Format	PDF
ISSN	00189197
Volume Number	51
Issue Number	7
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Mathematical model Couplings Optical fibers Delays Stokes parameters Optical devices complex projective space multimode optical fiber mode coupling Poincare sphere Multimode optical fiber Poincaré sphere
Content Type	Text
Resource Type	Article
Subject	Atomic and Molecular Physics, and Optics Condensed Matter Physics Electrical and Electronic Engineering

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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