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**Harvard**

Bjork, G., Stensson, K. och Karlsson, M. (2016) *Proposed Implementation of "Non-Physical" Four-Dimensional Polarization Rotations*.

** BibTeX **

@article{

Bjork2016,

author={Bjork, G. and Stensson, K. and Karlsson, Magnus},

title={Proposed Implementation of "Non-Physical" Four-Dimensional Polarization Rotations},

journal={Journal of Lightwave Technology},

issn={0733-8724},

volume={34},

issue={14},

pages={3317-3322},

abstract={Recently one of us proposed a new formalism for modeling electromagnetic wave transformations for coherent communication using a real, four-vector description instead of the conventionally used Jones calculus or the Mueller matrices. The four-vector can then handle all superpositions of two orthogonal polarization basis and two orthogonal time bases (e.g., the in-phase and quadrature phase). In developing this formulation it was found that to provide a general but minimal framework for such rotations, it is natural to divide the six generators of four-dimensional (4d) rotations into two groups of three generators, the right-and the left-isoclinic matrices. Of the six transformations these generators define, it was furthermore found that four of them are readily implemented by linear optical components, while two of then were impossible to implement by such means. In this paper, we detail the reason these two "unphysical" rotations cannot be implemented with linear optics. We also suggest how they can be implemented, but at a cost in the signal-to-noise ratio, and give this minimum cost.},

year={2016},

keywords={Coherent optical transmission, four-dimensional modulation, optical polarization, quantum noise},

}

** RefWorks **

RT Journal Article

SR Electronic

ID 241585

A1 Bjork, G.

A1 Stensson, K.

A1 Karlsson, Magnus

T1 Proposed Implementation of "Non-Physical" Four-Dimensional Polarization Rotations

YR 2016

JF Journal of Lightwave Technology

SN 0733-8724

VO 34

IS 14

SP 3317

OP 3322

AB Recently one of us proposed a new formalism for modeling electromagnetic wave transformations for coherent communication using a real, four-vector description instead of the conventionally used Jones calculus or the Mueller matrices. The four-vector can then handle all superpositions of two orthogonal polarization basis and two orthogonal time bases (e.g., the in-phase and quadrature phase). In developing this formulation it was found that to provide a general but minimal framework for such rotations, it is natural to divide the six generators of four-dimensional (4d) rotations into two groups of three generators, the right-and the left-isoclinic matrices. Of the six transformations these generators define, it was furthermore found that four of them are readily implemented by linear optical components, while two of then were impossible to implement by such means. In this paper, we detail the reason these two "unphysical" rotations cannot be implemented with linear optics. We also suggest how they can be implemented, but at a cost in the signal-to-noise ratio, and give this minimum cost.

LA eng

DO 10.1109/jlt.2016.2574912

LK http://dx.doi.org/10.1109/jlt.2016.2574912

OL 30