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#51
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Roy Lewallen wrote:
A transmission line is similar to an antenna in only some respects, and assuming they act exactly the same leads to erroneous conclusions. A capacitor and resistor is similar to a stinger in only some respects, and assuming they act exactly the same leads to erroneous conclusions. -- 73, Cecil http://www.qsl.net/w5dxp |
#52
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On Wed, 03 May 2006 15:55:23 -0700, Roy Lewallen
wrote: This is the paper in which Schelkunoff develops his often-quoted approximate equations for antenna feedpoint impedance (the ones including sine and cosine integral -- Si and Ci -- terms). He says, basically, that an antenna acts like a transmission line -- a conical antenna like a constant-Z line and a cylindrical (e.g., wire or tubing) antenna like a variable-Z line -- *except at the ends*. At the ends, modes other than TEM are excited, resulting in radiation, modification of antenna impedance, and modification of current distribution. Otherwise expressed as a finite Z instead of a zero current (infinite Z) point at the end. Of course, finite and infinite are relative even for Schelkunoff. The radiation, he says, can be modeled as either a terminating impedance or as a distributed impedance (R and L) along the line. You can find an abbreviated version of this explanation in Kraus' _Antennas_. Hi All, Pretty much what I've offered in the past and recently in this thread (same source, Schelkunoff through Robert Collin). Anyway, I see no formulas offered and as I don't have Kraus to see if they are missing there too: Zc = Z0 · ln (cot (theta/2)) / pi for Z0 = 377 Ohms theta 5° or Zc = Z0 · (ln(2) - ln(theta))) / pi for theta 5° where theta is the half angle of the cone section. This, of course, says nothing of the variable Zc for a thick radiator (which is not conical, but cylindrical). The "average" Zc: Zc = 120 · (ln (l/a) - 1) for l: length a: diameter The Zc as a function of position: Zc(z) = 120 ln (2 · z / a) 73's Richard Clark, KB7QHC |
#53
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![]() "Roy Lewallen" wrote: The radiation, he says, can be modeled as either a terminating impedance or as a distributed impedance (R and L) along the line. You can find an abbreviated version of this explanation in Kraus' _Antennas_. A transmission line is similar to an antenna in only some respects, and assuming they act exactly the same leads to erroneous conclusions. Among the many mistakes made in recent postings is the assumption that a complete reflection takes place from the end of an antenna wire. As Schelkunoff, Kraus, and others explain, this isn't correct. What they seem to be saying is that a quarter-wave monopole could be modeled like this: ======1/4WL 600 ohm line======12K load The 12K load dissipates approximately the same amount of power radiated by a 1/4WL monopole so the conditions at the feedpoint will be similar to the 1/4WL monopole. Just because it can be modeled in that fashion doesn't mean that the radiation is from the same place as the 12k load. This does seem to be a good way to understand the forward and reflected waves occurring in a 1/4WL monopole. Guess what the feedpoint impedance is? Another way to model the antenna would be with resistance wire instead of transmission line wire. Then we wouldn't need the 12K load resistor. We could just specify 1 dB loss between the forward power and reflected power. -- 73, Cecil, W5DXP |
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