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 language | English |
|---|---|
| Article number | 7061465 |
| Pages (from-to) | 2751-2756 |
| Number of pages | 6 |
| Journal | IEEE Transactions on Antennas and Propagation |
| Volume | 63 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1 Jun 2015 |
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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 journal › Article
}
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 -