Title : 
A Clifford algebra analysis of polarization-mode dispersion and polarization-dependent loss
         
        
            Author : 
Reimer, Michael ; Yevick, David
         
        
            Author_Institution : 
Dept. of Phys., Univ. of Waterloo, Ont., Canada
         
        
        
        
        
            fDate : 
3/15/2006 12:00:00 AM
         
        
        
        
            Abstract : 
We present an overview of Clifford algebra and its application to polarization-mode dispersion and polarization-dependent loss. We demonstrate that the Jones matrix corresponds to a Lorentz transformation in this algebra and obtain its frequency-dependent evolution through the Magnus expansion. We also comment on the application of Clifford algebra methods to partially polarized light.
         
        
            Keywords : 
Lorentz transformation; matrix algebra; optical fibre dispersion; optical fibre losses; optical fibre polarisation; Clifford algebra analysis; Jones matrix; Lorentz transformation; Magnus expansion; partially polarized light; polarization-dependent loss; polarization-mode dispersion; Algebra; Frequency; Geometrical optics; Optical fiber losses; Optical fiber polarization; Optical network units; Page description languages; Polarization mode dispersion; Quaternions; Vectors; Communication systems; optical fibers; polarization-dependent loss (PDL); polarization-mode dispersion (PMD);
         
        
        
            Journal_Title : 
Photonics Technology Letters, IEEE
         
        
        
        
        
            DOI : 
10.1109/LPT.2006.871134