Discrete algorithms for symbolic computing of topological phases and observables in interferometric systems

Alexander Gusev; Vladimir Andreev; Vladimir Derbov; Vladimir Dubovik; Yuri Popov; Yoshio Uwano; Sergue Vinitsky

doi:10.1117/12.636946

9 June 2005 Discrete algorithms for symbolic computing of topological phases and observables in interferometric systems

Alexander Gusev, Vladimir Andreev, Vladimir Derbov, Vladimir Dubovik, Yuri Popov, Yoshio Uwano, Sergue Vinitsky

Proceedings Volume 5773, Saratov Fall Meeting 2004: Laser Physics and Photonics, Spectroscopy, and Molecular Modeling V; (2005) https://doi.org/10.1117/12.636946
Event: Saratov, Russia, 2004, Saratov, Russian Federation

Abstract

Discrete algorithms for symbolic computation of topological phases and observables in optical interferometric systems are presented and illustrated using a set of test models. The calculation of the parameters of a birefringent plate that can be measured by means of Mach-Zehnder interferometer is implemented in terms of Maple and Mathematica. Near-field test models of the systems, that possess both geometrical and dynamical phases in the far-field region, are constructed beyond the the bounds of the ray approximation. These models imply a set of discrete sources with variable parameters and make use of the appropriate set of separable potentials.

Citation Download Citation

Alexander Gusev, Vladimir Andreev, Vladimir Derbov, Vladimir Dubovik, Yuri Popov, Yoshio Uwano, and Sergue Vinitsky "Discrete algorithms for symbolic computing of topological phases and observables in interferometric systems", Proc. SPIE 5773, Saratov Fall Meeting 2004: Laser Physics and Photonics, Spectroscopy, and Molecular Modeling V, (9 June 2005); https://doi.org/10.1117/12.636946

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