The result is also for dipols with double lenght, smaller then λ/2, if you double it. It has to be l>>d.
Antenna-impedance by MEINKE | |
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Overview resistance and reactance over l/λ: | |
vert. antenna | dipol-antenna |
The result is for stretched width antennas in free space, medium or minimum 2 x λ over ground with sinusoidal current and l>>d. For the resonances frequency and wire diameter have to be specified.
Lenghts are related to free space. The resonance-calculation delivers the lenght for free space. To get the geometric lenght in medium you have to watch lenght in medium.
For experts I have transfered the 2kl in the auxilliary calculation. For arguments greater than 36 the calculation of Si(x) and Ci(x) is not exact.
Continuing calculations [here].
See also: Antenna Theory - Analysis and Design, BALANIS, Arizona State University, Tempe, AZ
BALANIS-impedance of antenna / dipol | |
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antenna | integral-sine and -cosine |
trend of impedance over l/λ, λ=1 m, d=1 mm, vacuum: | |
For horizontal and vertical dipols BALANIS calculation. The input impedances will be inserted by the programs above, You can use befor this calculation.
Also see: BALANIS, Arizona State University, Tempe, AZ
Influence of ideal ground for dipol impedance BALANIS | |
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horiz. dipol over ground | vert. dipol over ground |
Overview impedance factor: | |
For the resonances frequency and wire diameter have to be specified. Lenghts are related to free space. The resonance-calculation delivers the lenght for free space. To get the geometric lenght in medium you have to watch
lenght in medium. For experts I have transfered the 2kl in the auxilliary calculation. For arguments greater than 36 the calculation of Si(x) and Ci(x) is not exact.
Continuing calculations [here].
See also: Antenna Theory - Analysis and Design, BALANIS, Arizona State University, Tempe, AZ
BALANIS-impedance of antenna / vertical | |
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antenna | integral-sine and -cosine |
trend of impedance over l/λ, λ=1 m, d=1 mm, vacuum: | |
The both functions are calculated here in Javascript by serial development. You see the error for arguments greater than 36.
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