Extending geometrical optics: A Lagrangian theory for vector waves

Ruiz, D. E.; Dodin, I. Y.

doi:10.1063/1.4977537

Title: Extending geometrical optics: A Lagrangian theory for vector waves

Journal Article · Thu Mar 16 00:00:00 EDT 2017 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4977537· OSTI ID:1367374

^[1]; Dodin, I. Y. ^[2]

Princeton Univ., Princeton, NJ (United States)
Princeton Univ., Princeton, NJ (United States); Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)

Even when neglecting diffraction effects, the well-known equations of geometrical optics (GO) are not entirely accurate. Traditional GO treats wave rays as classical particles, which are completely described by their coordinates and momenta, but vector-wave rays have another degree of freedom, namely, their polarization. The polarization degree of freedom manifests itself as an effective (classical) “wave spin” that can be assigned to rays and can affect the wave dynamics accordingly. A well-known manifestation of polarization dynamics is mode conversion, which is the linear exchange of quanta between different wave modes and can be interpreted as a rotation of the wave spin. Another, less-known polarization effect is the polarization-driven bending of ray trajectories. Here, this work presents an extension and reformulation of GO as a first-principle Lagrangian theory, whose effective Hamiltonian governs the aforementioned polarization phenomena simultaneously. As an example, the theory is applied to describe the polarization-driven divergence of right-hand and left-hand circularly polarized electromagnetic waves in weakly magnetized plasma.

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Research Organization:: Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: No. 32-CFR-168a; NA0002948; AC02-09CH11466

OSTI ID:: 1367374

Alternate ID(s):: OSTI ID: 1348029

Journal Information:: Physics of Plasmas, Vol. 24, Issue 5; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 19 works

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Cited By (3)

Quasioptical modeling of wave beams with and without mode conversion. I. Basic theory Dodin, I. Y.; Ruiz, D. E.; Yanagihara, K. Physics of Plasmas, Vol. 26, Issue 7 https://doi.org/10.1063/1.5095076	journal	July 2019
Quasioptical modeling of wave beams with and without mode conversion. II. Numerical simulations of single-mode beams Yanagihara, K.; Dodin, I. Y.; Kubo, S. Physics of Plasmas, Vol. 26, Issue 7 https://doi.org/10.1063/1.5095173	journal	July 2019
Quasioptical modeling of wave beams with and without mode conversion. III. Numerical simulations of mode-converting beams Yanagihara, K.; Dodin, I. Y.; Kubo, S. Physics of Plasmas, Vol. 26, Issue 7 https://doi.org/10.1063/1.5095174	journal	July 2019

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