Can Hankel functions explain the radiation of small antennas?

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    Antenna Radiation
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The discussion centers on a 1948 paper by Chu that utilizes Hankel functions to describe the radiation Q of electrically small antennas. Participants note that the uniqueness theorem implies that solutions for a specific geometry and boundary condition are unique, which raises questions about the need for alternative functions. It is acknowledged that Hankel functions can be expressed as linear combinations of Bessel functions, suggesting that half-order integer Bessel functions might also represent the same phenomena. The conversation highlights the mathematical relationships between these functions in antenna radiation theory. Overall, the exploration of alternative mathematical representations remains a topic of interest.
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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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