For example, Cheng 1989 states that the radiation resistance of a Hertzian dipole is
2.
But again, the Hertzian dipole is meant only as a theoretical construct for antenna analysis.
3.
Consequently, it can be seen that the radiation resistance computed for the short dipole is one quarter of that computed above for the Hertzian dipole.
4.
For example, he proposed a solution to the problem of a radiating hertzian dipole over a conducting earth, which over the years led to many applications.
5.
Analysis of a particular antenna ( such as a Hertzian dipole ), shows that this constant is \ frac { \ lambda ^ { 2 } } { 4 \ pi }, where \ lambda is the free-space wavelength.
6.
Where E z is the vertical component of the electric field at the receiver in a distance ? from the transmitter, E o is the electric field of a Hertzian dipole in free space, and ? = 2?f the angular frequency.
7.
The above field equations for the Hertzian dipole of length ? ! would then predict the " actual " fields for a short dipole using that effective current " I " = " I " 0 / 2.
8.
By placing a " capacitive hat ", such as a metallic ball, at the end of the conductor, it is possible for its self capacitance to absorb the current from the conductor and better approximate the constant current assumed for the Hertzian dipole.
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