### Abstract

In this chapter, we described the finite-element analysis of complex antenna problems. First, we described the formulations of the FEM in both the frequency and time domains using vector basis functions, which are also known as edge elements. We then discussed two important issues for the FEM simulation of antennas. One was the mesh truncation and the approaches covered included absorbing boundary conditions, perfectly matched layers, boundary integral equations, and the FDTD interface. The other issue was the modeling of antenna feeds and the extraction of antenna parameters such as the input impedance and radiation patterns. The antenna feed models discussed included the current probe, the gap generator, and the waveguide feed such as coaxial lines. This was followed by the description of numerical schemes for modeling infinite periodic phased arrays as well as finite arrays in both the frequency and time domains. In addition, practical guidelines were provided for the choice of solution technology based on either frequency- or time-domain methodologies. Numerical application examples were presented to demonstrate the FEM analysis of a variety of antennas. These included narrowband antennas such as microstrip patch and monopole antennas, broadband antennas such as a ridged horn, a spiral, a sinuous, and an inverted conical spiral antenna, and both infinite and finite periodic array antennas. Finally, we briefly addressed the FEM modeling of antenna-platform interaction. The application examples clearly demonstrated that the FEM is a powerful numerical simulation tool for the analysis and design of highly complicated antennas, and that it holds great potential for future antenna developments.

Original language | English (US) |
---|---|

Title of host publication | Modern Antenna Handbook |

Publisher | Wiley |

Pages | 1531-1593 |

Number of pages | 63 |

ISBN (Electronic) | 9780470294154 |

ISBN (Print) | 9780470036341 |

DOIs | |

State | Published - Nov 26 2007 |

### Fingerprint

### Keywords

- Finite-element analysis and antenna modeling
- Finite-element mesh truncation
- Phased array modeling

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Modern Antenna Handbook*(pp. 1531-1593). Wiley. https://doi.org/10.1002/9780470294154.ch31

**Finite-Element Analysis and Modeling of Antennas.** / Jin, Jianming; Lou, Zheng; Riley, Norma; Riley, Douglas.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Modern Antenna Handbook.*Wiley, pp. 1531-1593. https://doi.org/10.1002/9780470294154.ch31

}

TY - CHAP

T1 - Finite-Element Analysis and Modeling of Antennas

AU - Jin, Jianming

AU - Lou, Zheng

AU - Riley, Norma

AU - Riley, Douglas

PY - 2007/11/26

Y1 - 2007/11/26

N2 - In this chapter, we described the finite-element analysis of complex antenna problems. First, we described the formulations of the FEM in both the frequency and time domains using vector basis functions, which are also known as edge elements. We then discussed two important issues for the FEM simulation of antennas. One was the mesh truncation and the approaches covered included absorbing boundary conditions, perfectly matched layers, boundary integral equations, and the FDTD interface. The other issue was the modeling of antenna feeds and the extraction of antenna parameters such as the input impedance and radiation patterns. The antenna feed models discussed included the current probe, the gap generator, and the waveguide feed such as coaxial lines. This was followed by the description of numerical schemes for modeling infinite periodic phased arrays as well as finite arrays in both the frequency and time domains. In addition, practical guidelines were provided for the choice of solution technology based on either frequency- or time-domain methodologies. Numerical application examples were presented to demonstrate the FEM analysis of a variety of antennas. These included narrowband antennas such as microstrip patch and monopole antennas, broadband antennas such as a ridged horn, a spiral, a sinuous, and an inverted conical spiral antenna, and both infinite and finite periodic array antennas. Finally, we briefly addressed the FEM modeling of antenna-platform interaction. The application examples clearly demonstrated that the FEM is a powerful numerical simulation tool for the analysis and design of highly complicated antennas, and that it holds great potential for future antenna developments.

AB - In this chapter, we described the finite-element analysis of complex antenna problems. First, we described the formulations of the FEM in both the frequency and time domains using vector basis functions, which are also known as edge elements. We then discussed two important issues for the FEM simulation of antennas. One was the mesh truncation and the approaches covered included absorbing boundary conditions, perfectly matched layers, boundary integral equations, and the FDTD interface. The other issue was the modeling of antenna feeds and the extraction of antenna parameters such as the input impedance and radiation patterns. The antenna feed models discussed included the current probe, the gap generator, and the waveguide feed such as coaxial lines. This was followed by the description of numerical schemes for modeling infinite periodic phased arrays as well as finite arrays in both the frequency and time domains. In addition, practical guidelines were provided for the choice of solution technology based on either frequency- or time-domain methodologies. Numerical application examples were presented to demonstrate the FEM analysis of a variety of antennas. These included narrowband antennas such as microstrip patch and monopole antennas, broadband antennas such as a ridged horn, a spiral, a sinuous, and an inverted conical spiral antenna, and both infinite and finite periodic array antennas. Finally, we briefly addressed the FEM modeling of antenna-platform interaction. The application examples clearly demonstrated that the FEM is a powerful numerical simulation tool for the analysis and design of highly complicated antennas, and that it holds great potential for future antenna developments.

KW - Finite-element analysis and antenna modeling

KW - Finite-element mesh truncation

KW - Phased array modeling

UR - http://www.scopus.com/inward/record.url?scp=84948807669&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84948807669&partnerID=8YFLogxK

U2 - 10.1002/9780470294154.ch31

DO - 10.1002/9780470294154.ch31

M3 - Chapter

AN - SCOPUS:84948807669

SN - 9780470036341

SP - 1531

EP - 1593

BT - Modern Antenna Handbook

PB - Wiley

ER -