# Theory and Circuit Model for Lossy Coaxial Transmission Line

## Abstract

The theory of signal propagation in lossy coaxial transmission lines is revisited and new approximate analytic formulas for the line impedance and attenuation are derived. The accuracy of these formulas from DC to 100 GHz is demonstrated by comparison to numerical solutions of the exact field equations. Based on this analysis, a new circuit model is described which accurately reproduces the line response over the entire frequency range. Circuit model calculations are in excellent agreement with the numerical and analytic results, and with finite-difference-time-domain simulations which resolve the skindepths of the conducting walls.

- Authors:

- Voss Scientific, Inc., Albuquerque, NM (United States)

- Publication Date:

- Research Org.:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA), Office of Defense Science (NA-113)

- OSTI Identifier:
- 1365517

- Report Number(s):
- SAND2017-4252R

652695

- DOE Contract Number:
- AC04-94AL85000

- Resource Type:
- Technical Report

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 24 POWER TRANSMISSION AND DISTRIBUTION

### Citation Formats

```
Genoni, T. C., Anderson, C. N., Clark, R. E., Gansz-Torres, J., Rose, D. V., and Welch, Dale Robert.
```*Theory and Circuit Model for Lossy Coaxial Transmission Line*. United States: N. p., 2017.
Web. doi:10.2172/1365517.

```
Genoni, T. C., Anderson, C. N., Clark, R. E., Gansz-Torres, J., Rose, D. V., & Welch, Dale Robert.
```*Theory and Circuit Model for Lossy Coaxial Transmission Line*. United States. doi:10.2172/1365517.

```
Genoni, T. C., Anderson, C. N., Clark, R. E., Gansz-Torres, J., Rose, D. V., and Welch, Dale Robert. Sat .
"Theory and Circuit Model for Lossy Coaxial Transmission Line". United States.
doi:10.2172/1365517. https://www.osti.gov/servlets/purl/1365517.
```

```
@article{osti_1365517,
```

title = {Theory and Circuit Model for Lossy Coaxial Transmission Line},

author = {Genoni, T. C. and Anderson, C. N. and Clark, R. E. and Gansz-Torres, J. and Rose, D. V. and Welch, Dale Robert},

abstractNote = {The theory of signal propagation in lossy coaxial transmission lines is revisited and new approximate analytic formulas for the line impedance and attenuation are derived. The accuracy of these formulas from DC to 100 GHz is demonstrated by comparison to numerical solutions of the exact field equations. Based on this analysis, a new circuit model is described which accurately reproduces the line response over the entire frequency range. Circuit model calculations are in excellent agreement with the numerical and analytic results, and with finite-difference-time-domain simulations which resolve the skindepths of the conducting walls.},

doi = {10.2172/1365517},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Sat Apr 01 00:00:00 EDT 2017},

month = {Sat Apr 01 00:00:00 EDT 2017}

}

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