# Use of real Dirac matrices in two-dimensional coupled linear optics

@article{Baumgarten2011UseOR,
title={Use of real Dirac matrices in two-dimensional coupled linear optics},
author={Christian Baumgarten},
journal={Physical Review Special Topics-accelerators and Beams},
year={2011},
volume={14},
pages={114002}
}
• C. Baumgarten
• Published 9 September 2011
• Physics
• Physical Review Special Topics-accelerators and Beams
The Courant-Snyder theory for two-dimensional coupled linear optics is presented, based on the systematic use of the real representation of the Dirac matrices. Since any real $4\times 4$-matrix can be expressed as a linear combination of these matrices, the presented Ansatz allows for a comprehensive and complete treatment of two-dim. linear coupling. A survey of symplectic transformations in two dimensions is presented. A subset of these transformations is shown to be identical to rotations…
14 Citations

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