# A Full-wave Model for Wave Propagation and Dissipation in the Inner Magnetosphere Using the Finite Element Method

## Abstract

A wide variety of plasma waves play an important role in the energization and loss of particles in the inner magnetosphere. Our ability to understand and model wave-particle interactions in this region requires improved knowledge of the spatial distribution and properties of these waves as well as improved understanding of how the waves depend on changes in solar wind forcing and/or geomagnetic activity. To this end, we have developed a two-dimensional, finite element code that solves the full wave equations in global magnetospheric geometry. The code describes three-dimensional wave structure including mode conversion when ULF, EMIC, and whistler waves are launched in a two-dimensional axisymmetric background plasma with general magnetic field topology. We illustrate the capabilities of the code by examining the role of plasmaspheric plumes on magnetosonic wave propagation; mode conversion at the ion-ion and Alfven resonances resulting from external, solar wind compressions; and wave structure and mode conversion of electromagnetic ion cyclotron waves launched in the equatorial magnetosphere, which propagate along the magnetic field lines toward the ionosphere. We also discuss advantages of the finite element method for resolving resonant structures, and how the model may be adapted to include nonlocal kinetic effects.

- Authors:

- Publication Date:

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

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1036305

- Report Number(s):
- PPPL-4743

TRN: US1201356

- DOE Contract Number:
- DE-ACO2-09CH22466

- Resource Type:
- Conference

- Journal Name:
- 2011 AGU Fall meeting/San Francisco, CA 12/6/11

- Additional Journal Information:
- Conference: 2011 AGU Fall meeting/San Francisco, CA 12/6/11

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 43 PARTICLE ACCELERATORS; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; CYCLOTRONS; FINITE ELEMENT METHOD; GEOMETRY; IONOSPHERE; KINETICS; MAGNETIC FIELDS; MAGNETOACOUSTIC WAVES; MODE CONVERSION; PLASMA; PLASMA WAVES; PLUMES; SOLAR WIND; SPATIAL DISTRIBUTION; TOPOLOGY; WAVE EQUATIONS; WAVE PROPAGATION; WHISTLERS; Space Plasma Physics, Mode Coupling, Mode Conversion

### Citation Formats

```
Ernest Valeo, Jay R. Johnson, Eun-Hwa and Cynthia Phillips.
```*A Full-wave Model for Wave Propagation and Dissipation in the Inner Magnetosphere Using the Finite Element Method*. United States: N. p., 2012.
Web.

```
Ernest Valeo, Jay R. Johnson, Eun-Hwa and Cynthia Phillips.
```*A Full-wave Model for Wave Propagation and Dissipation in the Inner Magnetosphere Using the Finite Element Method*. United States.

```
Ernest Valeo, Jay R. Johnson, Eun-Hwa and Cynthia Phillips. Tue .
"A Full-wave Model for Wave Propagation and Dissipation in the Inner Magnetosphere Using the Finite Element Method". United States. https://www.osti.gov/servlets/purl/1036305.
```

```
@article{osti_1036305,
```

title = {A Full-wave Model for Wave Propagation and Dissipation in the Inner Magnetosphere Using the Finite Element Method},

author = {Ernest Valeo, Jay R. Johnson, Eun-Hwa and Cynthia Phillips},

abstractNote = {A wide variety of plasma waves play an important role in the energization and loss of particles in the inner magnetosphere. Our ability to understand and model wave-particle interactions in this region requires improved knowledge of the spatial distribution and properties of these waves as well as improved understanding of how the waves depend on changes in solar wind forcing and/or geomagnetic activity. To this end, we have developed a two-dimensional, finite element code that solves the full wave equations in global magnetospheric geometry. The code describes three-dimensional wave structure including mode conversion when ULF, EMIC, and whistler waves are launched in a two-dimensional axisymmetric background plasma with general magnetic field topology. We illustrate the capabilities of the code by examining the role of plasmaspheric plumes on magnetosonic wave propagation; mode conversion at the ion-ion and Alfven resonances resulting from external, solar wind compressions; and wave structure and mode conversion of electromagnetic ion cyclotron waves launched in the equatorial magnetosphere, which propagate along the magnetic field lines toward the ionosphere. We also discuss advantages of the finite element method for resolving resonant structures, and how the model may be adapted to include nonlocal kinetic effects.},

doi = {},

journal = {2011 AGU Fall meeting/San Francisco, CA 12/6/11},

number = ,

volume = ,

place = {United States},

year = {2012},

month = {3}

}