Firstprinciples variational formulation of polarization effects in geometrical optics
The propagation of electromagnetic waves in isotropic dielectric media with local dispersion is studied under the assumption of small but nonvanishing λ/l, where λ is the wavelength and l is the characteristic inhomogeneity scale. It is commonly known that, due to nonzero λ/l, such waves can experience polarizationdriven bending of ray trajectories and polarization dynamics that can be interpreted as the precession of the wave "spin". The present work reports how Lagrangians describing these effects can be deduced, rather than guessed, within a strictly classical theory. In addition to the commonly known ray Lagrangian that features the Berry connection, a simple alternative Lagrangian is proposed that naturally has a canonical form. The presented theory captures not only the eigenray dynamics but also the dynamics of continuouswave fields and rays with mixed polarization, or "entangled" waves. In conclusion, the calculation assumes stationary lossless media with isotropic local dispersion, but generalizations to other media are straightforward.
 Authors:

^{[1]}
;
^{[1]}
 Princeton Univ., Princeton, NJ (United States). Dept. of Astrophysical Sciences
 Publication Date:
 Report Number(s):
 PPPL5186
Journal ID: ISSN 10502947; PLRAAN
 Grant/Contract Number:
 DE274FG5208NA28553; AC0209CH11466; HDTRA11110037
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review. A
 Additional Journal Information:
 Journal Volume: 92; Journal Issue: 4; Journal ID: ISSN 10502947
 Publisher:
 American Physical Society (APS)
 Research Org:
 Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; inhomogeneousmedium; Hamiltonian PDEs; waves; phase; quantum; photon; light; optics
 OSTI Identifier:
 1256590
 Alternate Identifier(s):
 OSTI ID: 1222526
Ruiz, D. E., and Dodin, I. Y.. Firstprinciples variational formulation of polarization effects in geometrical optics. United States: N. p.,
Web. doi:10.1103/PhysRevA.92.043805.
Ruiz, D. E., & Dodin, I. Y.. Firstprinciples variational formulation of polarization effects in geometrical optics. United States. doi:10.1103/PhysRevA.92.043805.
Ruiz, D. E., and Dodin, I. Y.. 2015.
"Firstprinciples variational formulation of polarization effects in geometrical optics". United States.
doi:10.1103/PhysRevA.92.043805. https://www.osti.gov/servlets/purl/1256590.
@article{osti_1256590,
title = {Firstprinciples variational formulation of polarization effects in geometrical optics},
author = {Ruiz, D. E. and Dodin, I. Y.},
abstractNote = {The propagation of electromagnetic waves in isotropic dielectric media with local dispersion is studied under the assumption of small but nonvanishing λ/l, where λ is the wavelength and l is the characteristic inhomogeneity scale. It is commonly known that, due to nonzero λ/l, such waves can experience polarizationdriven bending of ray trajectories and polarization dynamics that can be interpreted as the precession of the wave "spin". The present work reports how Lagrangians describing these effects can be deduced, rather than guessed, within a strictly classical theory. In addition to the commonly known ray Lagrangian that features the Berry connection, a simple alternative Lagrangian is proposed that naturally has a canonical form. The presented theory captures not only the eigenray dynamics but also the dynamics of continuouswave fields and rays with mixed polarization, or "entangled" waves. In conclusion, the calculation assumes stationary lossless media with isotropic local dispersion, but generalizations to other media are straightforward.},
doi = {10.1103/PhysRevA.92.043805},
journal = {Physical Review. A},
number = 4,
volume = 92,
place = {United States},
year = {2015},
month = {10}
}