### Abstract

The Maliuzhinets function (MF) has been used for the diffraction problem of waves by a wedge with different face impedances. For a wedge with arbitrary angle, the Maliuzhinets function is cumbersome to compute which is a major limitation to the use of rigorous theory of diffraction in electromagnetic scattering by a wedge with impedance faces. In this work, an exact closed-form solution is obtained to evaluate a known integral representation of the MF. The tanh - sinh quadrature rule is employed to successfully calculate the integral in the Maliuzhinets function, and the highly accurate numerical computation for Ψ_{n}(z) is obtained over the entire complex z plane and for all n. For special wedge angles, the exact formulation is numerically verified by comparing it with the results obtained by numerical integration of the Maliuzhinets function.

Original language | English (US) |
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Title of host publication | IEEE Antennas and Propagation Society, AP-S International Symposium (Digest) |

Publisher | Institute of Electrical and Electronics Engineers Inc. |

Pages | 2040-2041 |

Number of pages | 2 |

ISBN (Print) | 9781479935406 |

DOIs | |

State | Published - Sep 18 2014 |

Event | 2014 IEEE Antennas and Propagation Society International Symposium, APSURSI 2014 - Memphis, United States Duration: Jul 6 2014 → Jul 11 2014 |

### Other

Other | 2014 IEEE Antennas and Propagation Society International Symposium, APSURSI 2014 |
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Country | United States |

City | Memphis |

Period | 7/6/14 → 7/11/14 |

### Fingerprint

### ASJC Scopus subject areas

- Electrical and Electronic Engineering

### Cite this

*IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)*(pp. 2040-2041). [6905347] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/APS.2014.6905347

**Closed-form expression of the Maliuzhinets function using tanh-sinh quadrature rule.** / Aboserwal, Nafati A.; Balanis, Constantine.

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

*IEEE Antennas and Propagation Society, AP-S International Symposium (Digest).*, 6905347, Institute of Electrical and Electronics Engineers Inc., pp. 2040-2041, 2014 IEEE Antennas and Propagation Society International Symposium, APSURSI 2014, Memphis, United States, 7/6/14. https://doi.org/10.1109/APS.2014.6905347

}

TY - GEN

T1 - Closed-form expression of the Maliuzhinets function using tanh-sinh quadrature rule

AU - Aboserwal, Nafati A.

AU - Balanis, Constantine

PY - 2014/9/18

Y1 - 2014/9/18

N2 - The Maliuzhinets function (MF) has been used for the diffraction problem of waves by a wedge with different face impedances. For a wedge with arbitrary angle, the Maliuzhinets function is cumbersome to compute which is a major limitation to the use of rigorous theory of diffraction in electromagnetic scattering by a wedge with impedance faces. In this work, an exact closed-form solution is obtained to evaluate a known integral representation of the MF. The tanh - sinh quadrature rule is employed to successfully calculate the integral in the Maliuzhinets function, and the highly accurate numerical computation for Ψn(z) is obtained over the entire complex z plane and for all n. For special wedge angles, the exact formulation is numerically verified by comparing it with the results obtained by numerical integration of the Maliuzhinets function.

AB - The Maliuzhinets function (MF) has been used for the diffraction problem of waves by a wedge with different face impedances. For a wedge with arbitrary angle, the Maliuzhinets function is cumbersome to compute which is a major limitation to the use of rigorous theory of diffraction in electromagnetic scattering by a wedge with impedance faces. In this work, an exact closed-form solution is obtained to evaluate a known integral representation of the MF. The tanh - sinh quadrature rule is employed to successfully calculate the integral in the Maliuzhinets function, and the highly accurate numerical computation for Ψn(z) is obtained over the entire complex z plane and for all n. For special wedge angles, the exact formulation is numerically verified by comparing it with the results obtained by numerical integration of the Maliuzhinets function.

UR - http://www.scopus.com/inward/record.url?scp=84907880401&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84907880401&partnerID=8YFLogxK

U2 - 10.1109/APS.2014.6905347

DO - 10.1109/APS.2014.6905347

M3 - Conference contribution

SN - 9781479935406

SP - 2040

EP - 2041

BT - IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)

PB - Institute of Electrical and Electronics Engineers Inc.

ER -