### Abstract

The generalized dual series approach, as it is applied to the mixed boundary value problems that characterize the coupling of electromagnetic energy through apertures, is described. This approach is based upon techniques borrowed from the analysis of the Riemann-Hilbert problem of complex variable theory. It allows one to obtain essentially analytical solutions to families of canonical coupling problems in separable geometries. The generalized dual series approach is illustrated with the example of the coupling of an H-polarized plane wave to a perfectly conducting infinite cylinder with an infinite axial slot enclosing a concentric impedance cylinder. This problem encompasses the coupling to an empty cylinder as well as to a cylinder enclosing a conducting wire or cable.

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

Pages (from-to) | 1425-1431 |

Number of pages | 7 |

Journal | Radio Science |

Volume | 19 |

Issue number | 6 |

State | Published - Nov 1984 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Computer Networks and Communications
- Atmospheric Science
- Computers in Earth Sciences
- Geochemistry and Petrology
- Geophysics
- Instrumentation

### Cite this

*Radio Science*,

*19*(6), 1425-1431.

**APPLICATIONS OF RIEMANN-HILBERT PROBLEM TECHNIQUES TO ELECTROMAGNETIC COUPLING THROUGH APERTURES.** / Ziolkowski, Richard W; Johnson, William A.; Casey, Kendall F.

Research output: Contribution to journal › Article

*Radio Science*, vol. 19, no. 6, pp. 1425-1431.

}

TY - JOUR

T1 - APPLICATIONS OF RIEMANN-HILBERT PROBLEM TECHNIQUES TO ELECTROMAGNETIC COUPLING THROUGH APERTURES.

AU - Ziolkowski, Richard W

AU - Johnson, William A.

AU - Casey, Kendall F.

PY - 1984/11

Y1 - 1984/11

N2 - The generalized dual series approach, as it is applied to the mixed boundary value problems that characterize the coupling of electromagnetic energy through apertures, is described. This approach is based upon techniques borrowed from the analysis of the Riemann-Hilbert problem of complex variable theory. It allows one to obtain essentially analytical solutions to families of canonical coupling problems in separable geometries. The generalized dual series approach is illustrated with the example of the coupling of an H-polarized plane wave to a perfectly conducting infinite cylinder with an infinite axial slot enclosing a concentric impedance cylinder. This problem encompasses the coupling to an empty cylinder as well as to a cylinder enclosing a conducting wire or cable.

AB - The generalized dual series approach, as it is applied to the mixed boundary value problems that characterize the coupling of electromagnetic energy through apertures, is described. This approach is based upon techniques borrowed from the analysis of the Riemann-Hilbert problem of complex variable theory. It allows one to obtain essentially analytical solutions to families of canonical coupling problems in separable geometries. The generalized dual series approach is illustrated with the example of the coupling of an H-polarized plane wave to a perfectly conducting infinite cylinder with an infinite axial slot enclosing a concentric impedance cylinder. This problem encompasses the coupling to an empty cylinder as well as to a cylinder enclosing a conducting wire or cable.

UR - http://www.scopus.com/inward/record.url?scp=0021517741&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0021517741&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0021517741

VL - 19

SP - 1425

EP - 1431

JO - Radio Science

JF - Radio Science

SN - 0048-6604

IS - 6

ER -