# A Two-Dimensional Fem Code for Impedance Calculation in High Frequency Domain

## Abstract

A new method, using the parabolic equation (PE), for the calculation of both high-frequency impedances of small-angle taper (or collimator) is developed in [1]. One of the most important advantages of the PE approach is that it eliminates the spatial scale of the small wavelength from the problem. As a result, only coarser spatial meshes are needed in calculating the numerical solution of the PE. We developed a new code based on Finite Element Method (FEM) which can handle arbitrary profile of a transition and speed up the calculation by orders of magnitude. As a first step, we completed and benchmarked a two-dimensional code. It can be upgraded to three-dimensional geometry.

- Authors:

- Publication Date:

- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 992978

- Report Number(s):
- SLAC-PUB-14135

TRN: US1007880

- DOE Contract Number:
- AC02-76SF00515

- Resource Type:
- Conference

- Journal Name:
- Conf.Proc.C100523:TUPEC078,2010

- Additional Journal Information:
- Conference: 1st International Particle Accelerator Conference: IPAC'10, 23-28 May 2010, Kyoto, Japan

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 43 PARTICLE ACCELERATORS; 97 MATHEMATICAL METHODS AND COMPUTING; ACCELERATORS; FINITE ELEMENT METHOD; IMPEDANCE; NUMERICAL SOLUTION; TWO-DIMENSIONAL CALCULATIONS; FREQUENCY DEPENDENCE; COMPUTER CALCULATIONS; Accelerators,ACCPHY

### Citation Formats

```
Wang, Lanfa, /SLAC, Lee, Lie-Quan, /SLAC, Stupakov, Gennady, and /SLAC.
```*A Two-Dimensional Fem Code for Impedance Calculation in High Frequency Domain*. United States: N. p., 2010.
Web.

```
Wang, Lanfa, /SLAC, Lee, Lie-Quan, /SLAC, Stupakov, Gennady, & /SLAC.
```*A Two-Dimensional Fem Code for Impedance Calculation in High Frequency Domain*. United States.

```
Wang, Lanfa, /SLAC, Lee, Lie-Quan, /SLAC, Stupakov, Gennady, and /SLAC. Wed .
"A Two-Dimensional Fem Code for Impedance Calculation in High Frequency Domain". United States. https://www.osti.gov/servlets/purl/992978.
```

```
@article{osti_992978,
```

title = {A Two-Dimensional Fem Code for Impedance Calculation in High Frequency Domain},

author = {Wang, Lanfa and /SLAC and Lee, Lie-Quan and /SLAC and Stupakov, Gennady and /SLAC},

abstractNote = {A new method, using the parabolic equation (PE), for the calculation of both high-frequency impedances of small-angle taper (or collimator) is developed in [1]. One of the most important advantages of the PE approach is that it eliminates the spatial scale of the small wavelength from the problem. As a result, only coarser spatial meshes are needed in calculating the numerical solution of the PE. We developed a new code based on Finite Element Method (FEM) which can handle arbitrary profile of a transition and speed up the calculation by orders of magnitude. As a first step, we completed and benchmarked a two-dimensional code. It can be upgraded to three-dimensional geometry.},

doi = {},

url = {https://www.osti.gov/biblio/992978},
journal = {Conf.Proc.C100523:TUPEC078,2010},

number = ,

volume = ,

place = {United States},

year = {2010},

month = {8}

}

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