Abstract

In the coherency-matrix formalism (CMF), the state of polarization of the field as well as the physical devices are represented in terms of 2×2 matrixes. The possibility of being able to exchange the role played by these matrices in the CMF is considered and a versatile operator formalism is developed. The physical meaning of the various operator relations is given and the possibility of obtaining the form of the most general operator that commutes with a given physical device is discussed. The operator formalism is applied to the study of certain physical devices whose matrix operator representations have been constructed through the use of Pauli spin matrices. Emphasis is placed on the identification of all the operators (including the Pauli spin matrices) in terms of combinations of known physical devices. In this way, the physical meanings of the various operator relations are discussed together with the meanings of the commutation relations between the various well-known physical devices. Finally, the forms of the most general operators that commute with the respective operators considered in this paper are obtained.

© 1965 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Extension of the Commutation Relations in the Theory of Partial Polarization

A. S. Marathay
J. Opt. Soc. Am. 56(5) 619-623 (1966)

Theory of the Coherency Matrix for Light of Arbitrary Spectral Bandwidth*

Richard Barakat
J. Opt. Soc. Am. 53(3) 317-323 (1963)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (1)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Tables (3)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (180)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription