# ADVANCED ELECTRIC AND MAGNETIC MATERIAL MODELS FOR FDTD ELECTROMAGNETIC CODES

## Abstract

The modeling of dielectric and magnetic materials in the time domain is required for pulse power applications, pulsed induction accelerators, and advanced transmission lines. For example, most induction accelerator modules require the use of magnetic materials to provide adequate Volt-sec during the acceleration pulse. These models require hysteresis and saturation to simulate the saturation wavefront in a multipulse environment. In high voltage transmission line applications such as shock or soliton lines the dielectric is operating in a highly nonlinear regime, which require nonlinear models. Simple 1-D models are developed for fast parameterization of transmission line structures. In the case of nonlinear dielectrics, a simple analytic model describing the permittivity in terms of electric field is used in a 3-D finite difference time domain code (FDTD). In the case of magnetic materials, both rate independent and rate dependent Hodgdon magnetic material models have been implemented into 3-D FDTD codes and 1-D codes.

- Authors:

- Publication Date:

- Research Org.:
- Lawrence Livermore National Lab., Livermore, CA (US)

- Sponsoring Org.:
- US Department of Energy (US)

- OSTI Identifier:
- 15016257

- Report Number(s):
- UCRL-CONF-212095

TRN: US0502136

- DOE Contract Number:
- W-7405-ENG-48

- Resource Type:
- Conference

- Resource Relation:
- Conference: Presented at: 2005 Particle Accelerator Conference (PAC 2005), Knoxville, TN (US), 05/16/2005--05/29/2005; Other Information: PDF-FILE: 5 ; SIZE: 0.1 MBYTES; PBD: 5 May 2005

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 24 POWER TRANSMISSION AND DISTRIBUTION; 36 MATERIALS SCIENCE; 43 PARTICLE ACCELERATORS; ACCELERATION; ACCELERATORS; DIELECTRIC MATERIALS; ELECTRIC FIELDS; HYSTERESIS; INDUCTION; MAGNETIC MATERIALS; PERMITTIVITY; POWER TRANSMISSION LINES; SATURATION; SIMULATION; SOLITONS

### Citation Formats

```
Poole, B R, Nelson, S D, and Langdon, S.
```*ADVANCED ELECTRIC AND MAGNETIC MATERIAL MODELS FOR FDTD ELECTROMAGNETIC CODES*. United States: N. p., 2005.
Web. doi:10.1109/PAC.2005.1591212.

```
Poole, B R, Nelson, S D, & Langdon, S.
```*ADVANCED ELECTRIC AND MAGNETIC MATERIAL MODELS FOR FDTD ELECTROMAGNETIC CODES*. United States. doi:10.1109/PAC.2005.1591212.

```
Poole, B R, Nelson, S D, and Langdon, S. Thu .
"ADVANCED ELECTRIC AND MAGNETIC MATERIAL MODELS FOR FDTD ELECTROMAGNETIC CODES". United States. doi:10.1109/PAC.2005.1591212. https://www.osti.gov/servlets/purl/15016257.
```

```
@article{osti_15016257,
```

title = {ADVANCED ELECTRIC AND MAGNETIC MATERIAL MODELS FOR FDTD ELECTROMAGNETIC CODES},

author = {Poole, B R and Nelson, S D and Langdon, S},

abstractNote = {The modeling of dielectric and magnetic materials in the time domain is required for pulse power applications, pulsed induction accelerators, and advanced transmission lines. For example, most induction accelerator modules require the use of magnetic materials to provide adequate Volt-sec during the acceleration pulse. These models require hysteresis and saturation to simulate the saturation wavefront in a multipulse environment. In high voltage transmission line applications such as shock or soliton lines the dielectric is operating in a highly nonlinear regime, which require nonlinear models. Simple 1-D models are developed for fast parameterization of transmission line structures. In the case of nonlinear dielectrics, a simple analytic model describing the permittivity in terms of electric field is used in a 3-D finite difference time domain code (FDTD). In the case of magnetic materials, both rate independent and rate dependent Hodgdon magnetic material models have been implemented into 3-D FDTD codes and 1-D codes.},

doi = {10.1109/PAC.2005.1591212},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2005},

month = {5}

}