The Language of Two-by-two Matrices spoken by Optical Devices

Details The Language of Two-by-two Matrices spoken by Optical Devices The Language of Two-by-two Matrices spoken by Optical Devices

2011-12-14

arxiv.org/abs/1112.3247v1

Physics

Mathematical Physics

LaTex 15 pages, 2 figures, presented at the 19th International Conference on Composites or Nano Engineering, Shanghai (China 2

Scientific paper

With its three independent parameters, the $ABCD$ matrix serves as the beam transfer matrix in optics. If it is transformed to an equi-diagonal form, the matrix has only two independent parameters determined by optical devices. It is shown that this two-parameter mathematical device contains enough information to describe the basic space-time symmetry of elementary particles. If its trace is smaller than two, this matrix can represent the internal space-time symmetry of massive particles. If equal to two, the matrix is of massless particles. If the trace is greater than two, this matrix describes imaginary-mass particles. This matrix speaks Einstein's language for space-time structure of elementary particles. As for the optical devices, the laser cavity and the multilayer system are discussed as illustrative physical examples.

Affiliated with

Also associated with

No associations

Rating

The Language of Two-by-two Matrices spoken by Optical Devices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Language of Two-by-two Matrices spoken by Optical Devices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Language of Two-by-two Matrices spoken by Optical Devices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-227701