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… 

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