Open AccessStokes-space derivations of generalized Schrodinger equations for wave propagation in various fibers
Author(s) -
C. J. McKinstrie,
H. Kogelnik,
G. G. Luther,
Alessandro Pasuto
Publication year - 2007
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.15.010964
Subject(s) - birefringence , stokes parameters , polarization (electrochemistry) , formalism (music) , physics , space (punctuation) , notation , optics , schrödinger equation , mathematical analysis , wave propagation , classical mechanics , mathematics , quantum mechanics , computer science , art , musical , chemistry , arithmetic , scattering , visual arts , operating system
In this report, multiple-scale analysis (averaging) is used to derive the generalized Schrödinger equations that govern light-wave propagation in strongly-birefringent, randomly-birefringent and rapidly-spun fibers. The averaging procedures are described in Jones space and Stokes space. Despite the differences between the aforementioned fibers, the Stokes-space procedures associated with them are similar, and involve only quantities whose physical significances are known. Not only does the Stokes-space formalism unify the derivations of the aforementioned Schrödinger equations, it also produces equations directly in Jones-Stokes notation, which facilitates subsequent studies of polarization effects in optical systems.