Incomplete Anger-Weber Functions

A Class of Special Functions for Electromagnetics

Diego Caratelli

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

A novel class of special functions for electromagnetics is presented. Formed by the incomplete Anger-Weber functions, this class conveniently allows solving electromagnetic problems involving truncated circular electromagnetic structures. The definition of these functions is here introduced, and the relevant analytical properties are derived. The definition is such that the interrelationships between the incomplete functions parallel, as far as is feasible, those for canonical Anger-Weber functions.

Original languageEnglish
JournalRadio Science
DOIs
Publication statusPublished - 1 Jan 2019

Fingerprint

electromagnetism

Keywords

  • array pattern synthesis
  • Bessel expansion series
  • conformal antenna array
  • incomplete associated Anger-Weber functions
  • special functions
  • uniform asymptotic expansion

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Earth and Planetary Sciences(all)
  • Electrical and Electronic Engineering

Cite this

Incomplete Anger-Weber Functions : A Class of Special Functions for Electromagnetics. / Caratelli, Diego.

In: Radio Science, 01.01.2019.

Research output: Contribution to journalArticle

@article{8e56df033196465fbe286c22114c6461,
title = "Incomplete Anger-Weber Functions: A Class of Special Functions for Electromagnetics",
abstract = "A novel class of special functions for electromagnetics is presented. Formed by the incomplete Anger-Weber functions, this class conveniently allows solving electromagnetic problems involving truncated circular electromagnetic structures. The definition of these functions is here introduced, and the relevant analytical properties are derived. The definition is such that the interrelationships between the incomplete functions parallel, as far as is feasible, those for canonical Anger-Weber functions.",
keywords = "array pattern synthesis, Bessel expansion series, conformal antenna array, incomplete associated Anger-Weber functions, special functions, uniform asymptotic expansion",
author = "Diego Caratelli",
year = "2019",
month = "1",
day = "1",
doi = "10.1029/2018RS006750",
language = "English",
journal = "Radio Science",
issn = "0048-6604",
publisher = "American Geophysical Union",

}

TY - JOUR

T1 - Incomplete Anger-Weber Functions

T2 - A Class of Special Functions for Electromagnetics

AU - Caratelli, Diego

PY - 2019/1/1

Y1 - 2019/1/1

N2 - A novel class of special functions for electromagnetics is presented. Formed by the incomplete Anger-Weber functions, this class conveniently allows solving electromagnetic problems involving truncated circular electromagnetic structures. The definition of these functions is here introduced, and the relevant analytical properties are derived. The definition is such that the interrelationships between the incomplete functions parallel, as far as is feasible, those for canonical Anger-Weber functions.

AB - A novel class of special functions for electromagnetics is presented. Formed by the incomplete Anger-Weber functions, this class conveniently allows solving electromagnetic problems involving truncated circular electromagnetic structures. The definition of these functions is here introduced, and the relevant analytical properties are derived. The definition is such that the interrelationships between the incomplete functions parallel, as far as is feasible, those for canonical Anger-Weber functions.

KW - array pattern synthesis

KW - Bessel expansion series

KW - conformal antenna array

KW - incomplete associated Anger-Weber functions

KW - special functions

KW - uniform asymptotic expansion

UR - http://www.scopus.com/inward/record.url?scp=85064016012&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85064016012&partnerID=8YFLogxK

U2 - 10.1029/2018RS006750

DO - 10.1029/2018RS006750

M3 - Article

JO - Radio Science

JF - Radio Science

SN - 0048-6604

ER -