Incomplete Bessel Polynomials: A New Class of Special Polynomials for Electromagnetics

Caratelli, Diego; Babur, Galina; Shibelgut, Alexander A.; Stukach, Oleg V.

doi:10.2528/pierm14123104

Cited by 8 publications

(2 citation statements)

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“…The starting point is the results of contactless measurement of geometric parameters of the trace of vibration-induced image blurring of the round tag, placed on the control object. Works [9,10] shows the development of this methods, its adaptation to particular characteristics of mirror antennas. Article [11] describes the general principles of contactless measurement of geometric parameters of the trace of vibration-induced image blurring of the round tag and the calculation of vibration parameters.…”

Section: Introductionmentioning

confidence: 99%

Contactless three-component measurement of mirror antenna vibrations

Grigor’ev

Grishko

Goryachev

et al. 2016

2016 International Siberian Conference on Control and Communications (SIBCON)

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The paper provides the overview of publications that study the task of protecting mirror antennas from external vibration influences. We suggest a new technique of contactless measurement and the analysis of the modulus and components of the vector for vibration amplitude in mirror antenna elements. We have analyzed the structural parameters of the trace of vibration-induced image blurring of the light-reflecting or fluorescent round tag with the aim of indirect contactless measuring of the modulus and components of the vector for vibration amplitude on the surface of a mirror antenna. We have provided justification for measuring half length, half width and the tilt angle of the trace left by round tag image vibratory blurring, as well as comparing these parameters with the parameters of round tag image with vibrations absent. We have given justification of the calculation technique that connects the parameters of the trace of vibration blurring with the parameters of vector of the vibration amplitude of the examined tag on the surface of a mirror antenna. The technique is based on the comparative analysis of binary image of a round tag in the conditions when the vibrations are absent and the trace of blurring when these vibrations are present. The study of geometric parameters of the trace of vibration-induced image blurring of the round tag involves the calculation of characteristic length of each pixel of this trace. The characteristic distance is understood as the distance between the pixel centre and the gravity centre of the tag image at the initial position with absent vibrations. This value is approximated to the integer of pixel units. The pixels with equal characteristic distance are formed into reference segments, which are subdivided into rings and arcs. The maximum characteristic distance of ring segment pixels constitute the half width, and the maximum characteristic distance of curve segment is the half length of the trace of vibration-induced image blurring of the round tag.

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Section: Introductionmentioning

confidence: 99%

Contactless three-component measurement of mirror antenna vibrations

Grigor’ev

Grishko

Goryachev

et al. 2016

2016 International Siberian Conference on Control and Communications (SIBCON)

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“…The research of many authors has led to a large body of knowledge on the previously mentioned special functions, as well as on new ones. In particular, incomplete Hankel functions have been adopted to determine, in closed form, the spatial distribution of progressive and evanescent wave contributions excited in truncated cylindrical electromagnetic structures (Cicchetti et al, ), while incomplete modified spherical Bessel functions (Caratelli & Yarovoy, ; Caratelli et al, ) have been used to analyze the transient electromagnetic field radiated in Fraunhofer region by a general antenna, thus providing a better understanding and meaningful insight into the physical mechanisms, which are responsible for the behavior of three‐dimensional radiators (Caratelli & Yarovoy, ). More recently, higher‐order special functions have been introduced in Cicchetti et al () and used, in combination with incomplete Hankel functions, to derive the exact analytical solution of the electromagnetic field distribution supported by uniform currents excited on Cartesian quadrants.…”

Section: Introductionmentioning

confidence: 99%

Incomplete Anger‐Weber Functions: A Class of Special Functions for Electromagnetics

Caratelli

2019

Radio Science

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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.

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