# Understanding multilayers from a geometrical viewpoint.

@article{Yonte2002UnderstandingMF, title={Understanding multilayers from a geometrical viewpoint.}, author={Teresa Yonte and Juan J. Monz{\'o}n and Luis L. S{\'a}nchez-Soto and Jos{\'e} F. Cari{\~n}ena and Carlos L{\'o}pez-Lacasta}, journal={Journal of the Optical Society of America. A, Optics, image science, and vision}, year={2002}, volume={19 3}, pages={ 603-9 } }

We reelaborate on the basic properties of lossless multilayers. We show that the transfer matrices for these multilayers have essentially the same algebraic properties as the Lorentz group SO(2, 1) in a (2 + 1)-dimensional space-time as well as the group SL(2, R) underlying the structure of the ABCD law in geometrical optics. By resorting to the Iwasawa decomposition, we represent the action of any multilayer as the product of three matrices of simple interpretation. This group-theoretical…

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