Geometric optics of Bloch waves in a chiral and dissipative medium

Journal Article · Sat May 15 04:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.053803· OSTI ID:21408892

Chuanwei, Zhang ^[1]; Qian, Niu ^[2]

---

1. Department of Physics and Astronomy, Washington State University, Pullman, Washington 99164 (United States)
2. Department of Physics, University of Texas, Austin, Texas 78712 (United States)

We present a geometric optics theory for the transport of quantum particles (or classical waves) in a chiral and dissipative periodic crystal subject to slowly varying perturbations in space and time. Taking account of some properties of particles and media neglected in previous theory, we find important additional terms in the equations of motion of particles. The (energy) current density field, which traces the geometric optics rays, is not only governed by the Bloch band energy dispersion but also involves there additional fields. These are the angular momentum of the particle, the dissipation dipole density, and various geometric gauge fields in the extended phase space spanned by space time and its reciprocal, momentum, and frequency. For simplicity, the theory is presented using light propagation in photonic crystals.

• OSTI ID: 21408892
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 81; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANGULAR MOMENTUM
CHIRALITY
CRYSTALS
CURRENT DENSITY
DIFFERENTIAL EQUATIONS
DIPOLES
EQUATIONS
EQUATIONS OF MOTION
GEOMETRY
LIGHT TRANSMISSION
MATHEMATICAL SPACE
MATHEMATICS
MULTIPOLES
OPTICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
PERIODICITY
PERTURBATION THEORY
PHASE SPACE
SPACE
TRANSMISSION
VARIATIONS