Simon, R. ; Mukunda, N. ; Sudarshan, E. C. G. (1989) Hamilton's theory of turns and a new geometrical representation for polarization optics Pramana - Journal of Physics, 32 (6). pp. 769-792. ISSN 0304-4289
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Official URL: http://www.ias.ac.in/j_archive/pramana/32/6/769-79...
Related URL: http://dx.doi.org/10.1007/BF02845998
Abstract
Hamilton's theory of turns for the group SU(2) is exploited to develop a new geometrical representation for polarization optics. While pure polarization states are represented by points on the Poincaré sphere, linear intensity preserving optical systems are represented by great circle arcs on another sphere. Composition of systems, and their action on polarization states, are both reduced to geometrical operations. Several synthesis problems, especially in relation to the Pancharatnam-Berry-Aharonov-Anandan geometrical phase, are clarified with the new representation. The general relation between the geometrical phase, and the solid angle on the Poincaré sphere, is established.
Item Type: | Article |
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Source: | Copyright of this article belongs to Indian Academy of Sciences. |
Keywords: | Polarization Optics; Geometrical Phases; Theory of Turns; Poincaré Sphere; Pancharatnam Phase |
ID Code: | 51277 |
Deposited On: | 28 Jul 2011 07:14 |
Last Modified: | 18 May 2016 05:18 |
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