Can Hankel functions explain the radiation of small antennas?

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    Antenna Radiation
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Discussion Overview

The discussion revolves around the use of Hankel functions in describing the radiation of electrically small antennas, referencing a 1948 paper by Chu. Participants explore whether alternative functions could similarly represent this phenomenon.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • Lisa inquires about the use of Hankel functions in Chu's work and whether other functions can describe the same radiation process.
  • Zz questions the premise of using "other functions," referencing the uniqueness theorem which suggests solutions are unique for given geometries and boundary conditions.
  • Another participant notes that solutions for antenna radiation are expressed in terms of Hankel functions, which represent inward and outward propagating waves, and wonders if half-order integer Bessel functions could also be applicable.
  • Claude states that Hankel functions are linear combinations of Bessel functions, suggesting that it may be theoretically possible to represent the solutions using Bessel functions.

Areas of Agreement / Disagreement

Participants express differing views on the possibility of using alternative functions to describe antenna radiation, with some questioning the premise while others suggest theoretical possibilities. No consensus is reached on the matter.

Contextual Notes

The discussion touches on the uniqueness theorem and its implications for the solutions of antenna radiation, but does not resolve how these principles apply to the use of alternative functions.

lisawoods
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does anyone know about a paper by a guy called Chu in 1948 describing the radiation q of a electrically small antenna. In it he using Hankel functions to describe the radiation wave of a small antenna. I was wondering if there is another other functions that can describe the same process

Lisa
 
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lisawoods said:
does anyone know about a paper by a guy called Chu in 1948 describing the radiation q of a electrically small antenna. In it he using Hankel functions to describe the radiation wave of a small antenna. I was wondering if there is another other functions that can describe the same process
Lisa

This question is strange.

If you know the uniqueness theorem, then you would have known that for a particular geometry and boundary condition, the solution that you obtain is unique up to an additive constant. So asking of one can describe the same thing using "other functions" is rather puzzling.

Zz.
 
antenna radiation

well as far as i know the solutions are in the form of hankel functions which describe the inward and outward propagating waves. Is it possible that these solutions can be represented by half order integer bessel functions
 
Hankel functions are linear combinations of Bessel functions from memory, so yes, it should be possible in theory.

Claude.
 

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