Real-argument incomplete hankel functions

Accurate and computationally efficient integral representations and their asymptotic approximants

Renato Cicchetti, Antonio Faraone, Gianni Orlandi, Diego Caratelli

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Novel accurate, computationally efficient integral representations of the real-argument incomplete Hankel functions of arbitrary order are presented, leading to a straightforward numerical implementation. These representations are shown to yield analytical approximants, expressed through known special functions, which are also accurate and valid for any arguments of the incomplete Hankel functions. Through these representations, the electromagnetic field distribution excited in planar and truncated cylindrical structures can be determined accurately and efficiently. Numerical results based on the exact and approximate representations are presented to demonstrate the effectiveness of the proposed integral representations in the analysis of the electromagnetic field distribution excited in complex structures.

Original languageEnglish
Article number7061465
Pages (from-to)2751-2756
Number of pages6
JournalIEEE Transactions on Antennas and Propagation
Volume63
Issue number6
DOIs
Publication statusPublished - 1 Jun 2015

Fingerprint

Hankel functions
Electromagnetic fields
electromagnetic fields

Keywords

  • Asymptotic approximants
  • electromagnetic scattering
  • incomplete Hankel functions
  • method of moments (MoM)
  • mixed potential integral equations (MPIE)
  • near-field
  • triangular basis functions

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electrical and Electronic Engineering

Cite this

Real-argument incomplete hankel functions : Accurate and computationally efficient integral representations and their asymptotic approximants. / Cicchetti, Renato; Faraone, Antonio; Orlandi, Gianni; Caratelli, Diego.

In: IEEE Transactions on Antennas and Propagation, Vol. 63, No. 6, 7061465, 01.06.2015, p. 2751-2756.

Research output: Contribution to journalArticle

@article{5bed910bbfe8428bafd3dd697450e5f6,
title = "Real-argument incomplete hankel functions: Accurate and computationally efficient integral representations and their asymptotic approximants",
abstract = "Novel accurate, computationally efficient integral representations of the real-argument incomplete Hankel functions of arbitrary order are presented, leading to a straightforward numerical implementation. These representations are shown to yield analytical approximants, expressed through known special functions, which are also accurate and valid for any arguments of the incomplete Hankel functions. Through these representations, the electromagnetic field distribution excited in planar and truncated cylindrical structures can be determined accurately and efficiently. Numerical results based on the exact and approximate representations are presented to demonstrate the effectiveness of the proposed integral representations in the analysis of the electromagnetic field distribution excited in complex structures.",
keywords = "Asymptotic approximants, electromagnetic scattering, incomplete Hankel functions, method of moments (MoM), mixed potential integral equations (MPIE), near-field, triangular basis functions",
author = "Renato Cicchetti and Antonio Faraone and Gianni Orlandi and Diego Caratelli",
year = "2015",
month = "6",
day = "1",
doi = "10.1109/TAP.2015.2412972",
language = "English",
volume = "63",
pages = "2751--2756",
journal = "IEEE Transactions on Antennas and Propagation",
issn = "0018-926X",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "6",

}

TY - JOUR

T1 - Real-argument incomplete hankel functions

T2 - Accurate and computationally efficient integral representations and their asymptotic approximants

AU - Cicchetti, Renato

AU - Faraone, Antonio

AU - Orlandi, Gianni

AU - Caratelli, Diego

PY - 2015/6/1

Y1 - 2015/6/1

N2 - Novel accurate, computationally efficient integral representations of the real-argument incomplete Hankel functions of arbitrary order are presented, leading to a straightforward numerical implementation. These representations are shown to yield analytical approximants, expressed through known special functions, which are also accurate and valid for any arguments of the incomplete Hankel functions. Through these representations, the electromagnetic field distribution excited in planar and truncated cylindrical structures can be determined accurately and efficiently. Numerical results based on the exact and approximate representations are presented to demonstrate the effectiveness of the proposed integral representations in the analysis of the electromagnetic field distribution excited in complex structures.

AB - Novel accurate, computationally efficient integral representations of the real-argument incomplete Hankel functions of arbitrary order are presented, leading to a straightforward numerical implementation. These representations are shown to yield analytical approximants, expressed through known special functions, which are also accurate and valid for any arguments of the incomplete Hankel functions. Through these representations, the electromagnetic field distribution excited in planar and truncated cylindrical structures can be determined accurately and efficiently. Numerical results based on the exact and approximate representations are presented to demonstrate the effectiveness of the proposed integral representations in the analysis of the electromagnetic field distribution excited in complex structures.

KW - Asymptotic approximants

KW - electromagnetic scattering

KW - incomplete Hankel functions

KW - method of moments (MoM)

KW - mixed potential integral equations (MPIE)

KW - near-field

KW - triangular basis functions

UR - http://www.scopus.com/inward/record.url?scp=84930959253&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84930959253&partnerID=8YFLogxK

U2 - 10.1109/TAP.2015.2412972

DO - 10.1109/TAP.2015.2412972

M3 - Article

VL - 63

SP - 2751

EP - 2756

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

SN - 0018-926X

IS - 6

M1 - 7061465

ER -