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# Quasioptical modeling of wave beams with and without mode conversion. I. Basic theory

## Abstract

This work opens a series of papers where we develop a general quasi-optical theory for mode-converting electromagnetic beams in plasma and implement it in a numerical algorithm. Here, the basic theory is introduced. We consider a general quasimonochromatic multicomponent wave in a weakly inhomogeneous linear medium with no sources. For any given dispersion operator that governs the wave field, we explicitly calculate the approximate operator that governs the wave envelope ψ to the second order in the geometrical-optics parameter. Then, we further simplify this envelope operator by assuming that the gradient of ψ transverse to the local group velocity is much larger than the corresponding parallel gradient. This leads to a parabolic differential equation for ψ (“quasioptical equation”) on the basis of the geometrical-optics polarization vectors. Scalar and mode-converting vector beams are described on the same footing. Here, we also explain how to apply this model to electromagnetic waves in general. In the next papers of this series, we report successful quasioptical modeling of radio frequency wave beams in magnetized plasma based on this theory.

- Authors:

- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Nagoya Univ., Aichi (Japan)
- National Inst. for Fusion Science, Gifu (Japan)

- Publication Date:

- Research Org.:
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)

- Sponsoring Org.:
- USDOE

- Contributing Org.:
- National Institute of Fusion Science, Japan. This work was supported by JSPS KAKENHI Grant No. JP17H03514 and by the U.S. DOE through Contract No. DE-AC02-09CH11466 and by the Laboratory Directed Research and Development program at Sandia National Laboratories, under Contract No. DE-NA-0003525.

- OSTI Identifier:
- 1557568

- Alternate Identifier(s):
- OSTI ID: 1544458

- Grant/Contract Number:
- NA0003525; AC02-09CH11466

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Physics of Plasmas

- Additional Journal Information:
- Journal Volume: 26; Journal Issue: 7; Journal ID: ISSN 1070-664X

- Publisher:
- American Institute of Physics (AIP)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY

### Citation Formats

```
Dodin, I. Y., Ruiz, D. E., Yanagihara, K., Zhou, Y., and Kubo, S. Quasioptical modeling of wave beams with and without mode conversion. I. Basic theory. United States: N. p., 2019.
Web. doi:10.1063/1.5095076.
```

```
Dodin, I. Y., Ruiz, D. E., Yanagihara, K., Zhou, Y., & Kubo, S. Quasioptical modeling of wave beams with and without mode conversion. I. Basic theory. United States. doi:10.1063/1.5095076.
```

```
Dodin, I. Y., Ruiz, D. E., Yanagihara, K., Zhou, Y., and Kubo, S. Tue .
"Quasioptical modeling of wave beams with and without mode conversion. I. Basic theory". United States. doi:10.1063/1.5095076.
```

```
@article{osti_1557568,
```

title = {Quasioptical modeling of wave beams with and without mode conversion. I. Basic theory},

author = {Dodin, I. Y. and Ruiz, D. E. and Yanagihara, K. and Zhou, Y. and Kubo, S.},

abstractNote = {This work opens a series of papers where we develop a general quasi-optical theory for mode-converting electromagnetic beams in plasma and implement it in a numerical algorithm. Here, the basic theory is introduced. We consider a general quasimonochromatic multicomponent wave in a weakly inhomogeneous linear medium with no sources. For any given dispersion operator that governs the wave field, we explicitly calculate the approximate operator that governs the wave envelope ψ to the second order in the geometrical-optics parameter. Then, we further simplify this envelope operator by assuming that the gradient of ψ transverse to the local group velocity is much larger than the corresponding parallel gradient. This leads to a parabolic differential equation for ψ (“quasioptical equation”) on the basis of the geometrical-optics polarization vectors. Scalar and mode-converting vector beams are described on the same footing. Here, we also explain how to apply this model to electromagnetic waves in general. In the next papers of this series, we report successful quasioptical modeling of radio frequency wave beams in magnetized plasma based on this theory.},

doi = {10.1063/1.5095076},

journal = {Physics of Plasmas},

number = 7,

volume = 26,

place = {United States},

year = {2019},

month = {7}

}

*Citation information provided by*

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Web of Science

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