Orthogonal and non-orthogonal devices in polarization optics

Tiberiu Tudor

doi:10.1117/12.679897

14 June 2006 Orthogonal and non-orthogonal devices in polarization optics

Tiberiu Tudor

Proceedings Volume 6254, Seventh International Conference on Correlation Optics; 625402 (2006) https://doi.org/10.1117/12.679897
Event: Seventh International Conference on Correlation Optics, 2005, Chernivsti, Ukraine

Abstract

Unlike the homogeneous basic ("canonical") polarization devices, many inhomogeneous (multilayer) polarization devices have non-orthogonal eigenvectors. They may be called non-orthogonal devices. Their operators pertain to a class of operators unusual in physics and somewhat peripheral even in the linear operator theory the non-normal operators. Moreover, the operators of some multilayer polarization devices are of a very pathological kind: singular and defective (with the eigenvectors collapsed onto one and the corresponding eigenvalue equal to zero). In this paper we give a comparative analysis of some of the most widespread orthogonal and non-orthogonal multilayer polarization devices - to which correspond normal and non-normal operators, respectively - on the basis of the spectral theorem of linear algebra in a pure operatorial (non-matrix) Dirac-dyadic language.

Citation Download Citation

Tiberiu Tudor "Orthogonal and non-orthogonal devices in polarization optics", Proc. SPIE 6254, Seventh International Conference on Correlation Optics, 625402 (14 June 2006); https://doi.org/10.1117/12.679897

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