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Journal of Lightwave Technology

Journal of Lightwave Technology

| A JOINT IEEE/OSA PUBLICATION

  • Vol. 22, Iss. 4 — Apr. 1, 2004
  • pp: 1137–

Quaternion Approach to PMD and PDL Phenomena in Optical Fiber Systems

Magnus Karlsson and Mats Petersson

Journal of Lightwave Technology, Vol. 22, Issue 4, pp. 1137- (2004)


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Abstract

In this paper, we introduce the concept of quaternions (which is a generalization of the complex numbers) and quaternion calculus and demonstrate how this theory may be used to simplify the treatment of polarization phenomena in optical fibers. We apply quaternion calculus to two examples: 1) the description of polarization-dependent loss (PDL) elements and concatenation of such and 2) the description of pulse dynamics and broadening in transmission lines with both polarization-mode dispersion (PMD) and PDL. Finally we present some novel results from the investigation of pulse broadening in a simple system comprising a PMD element, followed by a perfect polarizer.

© 2004 IEEE

Citation
Magnus Karlsson and Mats Petersson, "Quaternion Approach to PMD and PDL Phenomena in Optical Fiber Systems," J. Lightwave Technol. 22, 1137- (2004)
http://www.opticsinfobase.org/jlt/abstract.cfm?URI=jlt-22-4-1137

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