Can Hankel functions explain the radiation of small antennas?

In summary, a paper by Chu in 1948 discusses the radiation of an electrically small antenna using Hankel functions. The uniqueness theorem states that the solution obtained for a specific geometry and boundary condition is unique, making the use of other functions to describe the same process puzzling. However, it is possible in theory to represent the solutions using half order integer Bessel functions instead of Hankel functions.
  • #1
lisawoods
9
0
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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  • #2
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.
 
  • #3
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
 
  • #4
Hankel functions are linear combinations of Bessel functions from memory, so yes, it should be possible in theory.

Claude.
 

Related to Can Hankel functions explain the radiation of small antennas?

1. What is radiation of an antenna?

Radiation of an antenna refers to the emission of electromagnetic waves from the antenna, which are used to transmit or receive signals in wireless communication systems.

2. How does an antenna radiate?

An antenna radiates by converting electrical energy from a source, such as a transmitter, into electromagnetic waves that propagate through space.

3. What factors affect the radiation pattern of an antenna?

The size and shape of the antenna, as well as its orientation and the frequency of the signal it is transmitting, can all affect the radiation pattern of an antenna.

4. Is radiation from an antenna harmful?

The radiation from an antenna is non-ionizing, meaning it does not have enough energy to break chemical bonds in living tissue. However, it is important to follow safety guidelines and regulations for exposure to radiation from antennas.

5. How is the radiation efficiency of an antenna measured?

The radiation efficiency of an antenna is measured by comparing the power radiated by the antenna to the total power applied to the antenna. It is expressed as a percentage, with a higher percentage indicating a more efficient antenna.

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