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#21
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Back to fundamentals
"Owen Duffy" wrote in message ... On Thu, 8 Dec 2005 21:44:07 +0000 (UTC), "Reg Edwards" wrote: I have been informed my GRNDWAV3 program is in error - it calculates the power input to a matched receiver to be 6dB greater than it ought........ ..........resistance. Again choosing simple values - An alternative is to calculate the power collected by a lossless, matched receiver as Pr=S*A. In this case, S=0.3**2/(120*pi) Kraus derives A (the effective apperture) for a short dipole to be 3/8/pi*wavelength**2. This gives the power collected by the receiver as 6.4mW. If the antenna and receiver were disected by the ground plane, wouldn't there be 3.2mW developed in each half of the receiver load? Owen Then S = 2.387*10**(-4) W/m**2; and A = 0.119*(Lambda)**2, where Lambda = 20m. (p.44) Therefore A = 47.6 m**2; and Pr = 11.36 mW. Since we have done this modeling of incident E-fields before, should there not be some correlation with NEC2? Frank PS, your FORTRAN notation threw me for a second. |
#22
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The factor of 2
"A factor of 2 is involved somewhere?"
First place I would look is at the coltage actually applied to the receiver. If the antenna intercepts 1 volt per meter in a 1-meter antenna, only 0.5 volt is applied to the receiver. The other 0.5 volt is lost to reradiation in a matched antenna system. Best regards, Richard Harrison, KB5WZI |
#23
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The factor of 2
Reg wrote:
"So we have a generator with open-circuit volts of 300 mV, with an internal resistance of 1.944 ohms, into an Rx load resistance of 1.944 ohms---." You lose 1/2 the open-circuit voltage in a matched antenna`s radiation resistance. 1/2 the voltage in the receiver`s input resistance causes 1/2 the current. Received carrier power is only 1/4, or in other words, 6 db less than twice the voltage would produce were it available across the receiver`s input resistance. 0.15 volts squared over 1.944 ohms = 0.01157 watts on my Chinese calculator Best regards, Richard Harrison, KB5WZI |
#24
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The factor of 2
"Richard Harrison" wrote in message ... Reg wrote: "So we have a generator with open-circuit volts of 300 mV, with an internal resistance of 1.944 ohms, into an Rx load resistance of 1.944 ohms---." You lose 1/2 the open-circuit voltage in a matched antenna`s radiation resistance. 1/2 the voltage in the receiver`s input resistance causes 1/2 the current. Received carrier power is only 1/4, or in other words, 6 db less than twice the voltage would produce were it available across the receiver`s input resistance. 0.15 volts squared over 1.944 ohms = 0.01157 watts on my Chinese calculator ===================================== Yes Richard, I fully agree. The trouble is that there are other ways of calculating receiver input power, seemingly equally valid. But they give an input power exactly 1/4 as big or 6 dB less. Which way is correct? Terman, Kraus, Balani, their Bibles and numerous computer programs are all at loggerheads with each other. The very foundations of radio engineering are being undermined. ;o) ---- Reg. |
#25
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Back to fundamentals
On Fri, 09 Dec 2005 13:06:17 GMT, "Frank"
wrote: "Owen Duffy" wrote in message .. . On Thu, 8 Dec 2005 21:44:07 +0000 (UTC), "Reg Edwards" wrote: I have been informed my GRNDWAV3 program is in error - it calculates the power input to a matched receiver to be 6dB greater than it ought........ ..........resistance. Again choosing simple values - An alternative is to calculate the power collected by a lossless, matched receiver as Pr=S*A. In this case, S=0.3**2/(120*pi) Kraus derives A (the effective apperture) for a short dipole to be 3/8/pi*wavelength**2. This gives the power collected by the receiver as 6.4mW. If the antenna and receiver were disected by the ground plane, wouldn't there be 3.2mW developed in each half of the receiver load? Owen Then S = 2.387*10**(-4) W/m**2; and A = 0.119*(Lambda)**2, where Lambda = 20m. (p.44) I thought Reg was talking about f=20E6, so Lambda~=15m isn't it? Therefore A = 47.6 m**2; and Pr = 11.36 mW. Since we have done this modeling of incident E-fields before, should there not be some correlation with NEC2? Frank PS, your FORTRAN notation threw me for a second. Several languages use ** as the exponentiation operator, FORTRAN was probably the first. C, the C-like languages and IIRC most of the Algol languages use **. The ^ operator used in VBA is a logical operator in most languages. Owen -- |
#26
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Back to fundamentals
Owen Duffy wrote:
Several languages use ** as the exponentiation operator, FORTRAN was probably the first. C, the C-like languages and IIRC most of the Algol languages use **. The ^ operator used in VBA is a logical operator in most languages. How about 10SUP-4/SUP? :-) -- 73, Cecil http://www.qsl.net/w5dxp |
#27
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The factor of 2
I've received an authoritative answer about NEC plane wave excitation.
When a 1 V/m incident plane wave is specified via a plane wave source and a ground plane is present, the field strength at all points is 2 V/m, not 1 V/m as I had assumed. The rationale is that the "incident wave" is reflected by the ground plane, doubling its strength. The conclusions from this are that: 1. NEC reports that the voltage from the base of a 1 meter electrically short vertical wire to perfect ground in the presence of a 1 V/m field is 0.5 volt, not 1 volt as I said in my earlier posting in response to a question by Reg. I apologize for the error. 2. The power intercepted by the matched dipole in the problem recently posed by Reg is approximately 3 mW, not 12. The EZNEC calculation I described, which does not use a plane wave source, is correct. The same result can be obtained with NEC by using two antennas as in EZNEC, or with a 212 V/m (peak, equal to 150 V/m RMS) plane wave source which produces a 300 V/m RMS field at the loaded antenna. This is a good place to give an additional caution to people using NEC for calculations. NEC uses peak, not RMS values for all voltages and currents. Power results will be off by a factor of two or four if a user mistakenly assumes RMS values. EZNEC uses RMS values throughout. When Reg posed the dilemma about the factor of four disparity in reported powers, my first thought was that this was the cause. As it turned out, it wasn't, but caution is needed. Results should always be given a reality check, as Reg has done. Any model -- and this doesn't exclude the mathematical models we often consider "theory" -- can be subject to many errors, including but not limited to misapplication, misinterpretation, and limitations of an approximation or numerical calculation. Roy Lewallen, W7EL |
#28
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The factor of 2
On Fri, 09 Dec 2005 11:45:32 -0800, Roy Lewallen
wrote: 2. The power intercepted by the matched dipole in the problem recently posed by Reg is approximately 3 mW, not 12. The EZNEC calculation I described, which does not use a plane wave source, is correct. The same result can be obtained with NEC by using two antennas as in EZNEC, or with a 212 V/m (peak, equal to 150 V/m RMS) plane wave source which produces a 300 V/m RMS field at the loaded antenna. To a certain extent, this comes back to a decision about whether ground reflection contributes to the received power, and you are saying that NEC assumes it does under plane wave excitation in presence of a ground plane. In "running the numbers", I note that the radiation resistance indicated by NEC for a short dipole in free space is quite different to that predicted by Kraus for a dipole with uniform current, (Rr=80*pi()**2(L/Lambda)**2)! Owen -- |
#29
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Back to fundamentals
Owen Duffy wrote:
PS, your FORTRAN notation threw me for a second. Several languages use ** as the exponentiation operator, FORTRAN was probably the first. C, the C-like languages and IIRC most of the Algol languages use **. The ^ operator used in VBA is a logical operator in most languages. They say a FORTRAN-trained programmer can write FORTRAN in any language, .AND. of course that's .TRUE. -- 73 from Ian GM3SEK |
#30
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Back to fundamentals
Owen Duffy wrote:
On Fri, 09 Dec 2005 13:06:17 GMT, "Frank" wrote: "Owen Duffy" wrote in message . .. On Thu, 8 Dec 2005 21:44:07 +0000 (UTC), "Reg Edwards" wrote: I have been informed my GRNDWAV3 program is in error - it calculates the power input to a matched receiver to be 6dB greater than it ought........ ..........resistance. Again choosing simple values - An alternative is to calculate the power collected by a lossless, matched receiver as Pr=S*A. In this case, S=0.3**2/(120*pi) Kraus derives A (the effective apperture) for a short dipole to be 3/8/pi*wavelength**2. This gives the power collected by the receiver as 6.4mW. If the antenna and receiver were disected by the ground plane, wouldn't there be 3.2mW developed in each half of the receiver load? Owen Then S = 2.387*10**(-4) W/m**2; and A = 0.119*(Lambda)**2, where Lambda = 20m. (p.44) I thought Reg was talking about f=20E6, so Lambda~=15m isn't it? Therefore A = 47.6 m**2; and Pr = 11.36 mW. Since we have done this modeling of incident E-fields before, should there not be some correlation with NEC2? Frank PS, your FORTRAN notation threw me for a second. Several languages use ** as the exponentiation operator, FORTRAN was probably the first. C, the C-like languages and IIRC most of the Algol languages use **. The ^ operator used in VBA is a logical operator in most languages. Owen -- It's been a while since you've done mathematical stuff in C, hasn't it? C does _not_ use a '**' operator. If you want to raise y to the x power you use "pow(y, x)". -- Tim Wescott Wescott Design Services http://www.wescottdesign.com |
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