### Abstract

A simple but effective method is presented to analyze electromagnetic radiation and scattering from conducting bodies at frequencies corresponding to internal resonances of a cavity of the same shape. The advantage of this technique is that it requires only the E-field integral equation and not both E-field and H-field as required by the combined fields formulation. It is shown theoretically that this method produces a solution with minimum norm and converges monotonically as the order of the approximation is increased. The minimum norm solution for the current density given by the E-field integral equation is not the correct current density as there is a portion of the resonant current that exists on the body. However, the minimum norm solution indeed provides the true scattering fields. This technique may also be utilized for obtaining a minimum norm solution for nearly singular and singular matrix equations. Examples are presented to illustrate the application of this technique.

Original language | English (US) |
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Pages (from-to) | 1250-1254 |

Number of pages | 5 |

Journal | IEEE Transactions on Antennas and Propagation |

Volume | 30 |

Issue number | 6 |

DOIs | |

State | Published - 1982 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Electrical and Electronic Engineering
- Condensed Matter Physics
- Computer Networks and Communications

### Cite this

*IEEE Transactions on Antennas and Propagation*,

*30*(6), 1250-1254. https://doi.org/10.1109/TAP.1982.1142968