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#1
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Since antennas have reactance and radiation resistance, are they always
critically damped, or will they ring-down? Is this implied by a swr plot? Can I take 3db points as antenna bandwidth and assume a radiation-resistance loaded-Q from that? Does feed-point impedance change radiation resistance? Thanks |
#2
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Scott Stephens wrote:
Since antennas have reactance and radiation resistance, ... It might help to note that the antenna feedpoint impedance is a virtual impedance - a ratio of total voltage to total current. A dipole is a standing wave antenna with a feedpoint impedance of: Zfp = (Vfor+Vref)/(Ifor+Iref) [all phasors] This type of impedance is covered by the (B) definition of "impedance" in "The IEEE Dictionary". It is not the same thing as an "impedor" which is covered by the (C) definition of "impedance". -- 73, Cecil http://www.w5dxp.com |
#3
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On 31 okt, 10:17, Scott Stephens wrote:
Since antennas have reactance and radiation resistance, are they always critically damped, or will they ring-down? Is this implied by a swr plot? Can I take 3db points as antenna bandwidth and assume a radiation-resistance loaded-Q from that? Does feed-point impedance change radiation resistance? Thanks Hello, A small tuned loop behaves as a lumped RLC circuit around the center frequency. Small means small w.r.t. lambda. It has small relative BW (rel. BW = useful BW / Fcenter). It shows lots of ringing. Of course, the model is only valid for the frequency range where size lambda. For small loops (especially loops on PCB), most losses are ohmic, just a part of the losses is due to radiation. When you make a good air loop (with air or vacuum capacitor), the Q factor can be over 1000 (so your -3dB impedance bandwidth is very low at HF frequencies). Your VSWR=2 useful bandwidth is about 70% of the 3 dB impedance bandwidth of the antenna. Thin half wave dipoles can also be modeled with a RLC circuit. The R is frequency dependent, but in a limited frequency range, a simple RLC circuit is useful. When more accuracy is required , or larger frequency range, a transmission line model with lumped losses is better. HW dipoles close to perfect conducting ground have narrow useful BW, hence high Q factor and the RLC model matches better. Thicker dipoles have wider bandwidth (so lower Q factor). In that case even within the useful frequency range the radiation resistance varies (it increases with increasing frequency). When the Thickness of the dipole (think of a biconical dipole), is in the range of 0.15 lambda or more, Q factor will be that low, that you can hardly see the exponential decaying sinusoidal wave (so it behaves more like a heavily damped circuit). If you have access to EM simulation SW you might simulate a construction and compare the impedance versus frequency for your LRC equivalent model. Back to your question, most narrow band antennas are not critically damped and have an impulse response with exponential decaying sinusoidal wave shape. Are you in GPR or equivalent? Best regards, Wim PA3DJS www.tetech.nl The mail is OK when you remove abc. |
#4
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Cecil Moore wrote:
It might help to note that the antenna feedpoint impedance is a virtual impedance - a ratio of total voltage to total current. I forgot to say that the surge impedance of a standing wave antenna, like a transmission line, is quite different from the steady-state value of feedpoint impedance. -- 73, Cecil http://www.w5dxp.com |
#5
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Scott Stephens wrote:
Since antennas have reactance and radiation resistance, are they always critically damped, or will they ring-down? No, they are not critically damped, NOR are they a simple resonator. Is this implied by a swr plot? Can I take 3db points as antenna bandwidth and assume a radiation-resistance loaded-Q from that? No (this is a common error when folks first hear about the Chu limit and read about Antenna Q. They mistakenly equate Antenna Q with "tuned circuit Q" and then leap to the idea that center frequency/bandwidth = Q.. nope.. Q, in both cases, is the stored energy divided by the energy lost per cycle. But the mechanism is different...) Does feed-point impedance change radiation resistance? No. A folded dipole has a feedpoint impedance of about 300 ohms and a dipole has a feedpoint impedance of about 72 ohms, but they have the exact same radiation resistance. Google for "radiation resistance" and "surrey" to find some pages by Dr. Jefferies at UofSurrey.. http://personal.ee.surrey.ac.uk/Pers...es/radimp.html http://personal.ee.surrey.ac.uk/Pers.../antennas.html http://www.ece.rutgers.edu/~orfanidi/ewa/ is an online textbook which you may find useful Thanks |
#6
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Wimpie wrote:
On 31 okt, 10:17, Scott Stephens wrote: Since antennas have reactance and radiation resistance, are they always critically damped, or will they ring-down? Is this implied by a swr plot? Can I take 3db points as antenna bandwidth and assume a radiation-resistance loaded-Q from that? Does feed-point impedance change radiation resistance? Thanks Hello, Thin half wave dipoles can also be modeled with a RLC circuit. The R is frequency dependent, but in a limited frequency range, a simple RLC circuit is useful. When more accuracy is required , or larger frequency range, a transmission line model with lumped losses is better. HW dipoles close to perfect conducting ground have narrow useful BW, hence high Q factor and the RLC model matches better. As I suspected/feared. If I try to design a pulse generator for a TDR in spice, I'll have to synthesize an appropriate frequency-dependent radiation-resistor. Thicker dipoles have wider bandwidth (so lower Q factor). In that case even within the useful frequency range the radiation resistance varies (it increases with increasing frequency). When the Thickness of the dipole (think of a biconical dipole), is in the range of 0.15 lambda or more, Q factor will be that low, that you can hardly see the exponential decaying sinusoidal wave (so it behaves more like a heavily damped circuit). Yes, I've noticed UWB antenna look like horns or loops of wide straps If you have access to EM simulation SW you might simulate a construction and compare the impedance versus frequency for your LRC equivalent model. Perhaps an inverse-Fourier transform of that Z vs. freq plot can give me a time-domain impulse graph? Back to your question, most narrow band antennas are not critically damped and have an impulse response with exponential decaying sinusoidal wave shape. Are you in GPR or equivalent? Yes, I'm interested in TDR and GPR. Thanks, Scott, KB9ETU |
#7
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Jim Lux wrote:
Scott Stephens wrote: Is this implied by a swr plot? Can I take 3db points as antenna bandwidth and assume a radiation-resistance loaded-Q from that? No (this is a common error when folks first hear about the Chu limit and read about Antenna Q. They mistakenly equate Antenna Q with "tuned circuit Q" and then leap to the idea that center frequency/bandwidth = Q.. nope.. Q, in both cases, is the stored energy divided by the energy lost per cycle. But the mechanism is different...) Looking up the "Chu Limit, I found: (http://ceta.mit.edu/PIER/pier43/11.0....Bellett.L.pdf) I just skimmed, it seems the mechanism of RLC network is the R, but for antenna, "Q is formed from the independent contribution of all the modes". Which, for a UWB or impulse-radar antenna, will be an interesting; a frequency-dependent resistance to model. From the paper it seems using a ferrite broadens a loop antenna by raising radiation resistance across frequencies. Whereas dielectrics increase energy storage (Q) by confining flux, unlike magnetics. I've even heard of laser-ionized plasma being used for UWB antenna, since it will quench to stop it from ringing. Google for "radiation resistance" and "surrey" to find some pages by Dr. Jefferies at UofSurrey.. Ok, I'll take a long-look. http://personal.ee.surrey.ac.uk/Pers...es/radimp.html http://personal.ee.surrey.ac.uk/Pers.../antennas.html http://www.ece.rutgers.edu/~orfanidi/ewa/ is an online textbook which you may find useful Thanks |
#8
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Cecil Moore wrote:
I forgot to say that the surge impedance of a standing wave antenna, like a transmission line, is quite different from the steady-state value of feedpoint impedance. Thanks |
#9
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On 31 okt, 20:12, Scott Stephens wrote:
Wimpie wrote: On 31 okt, 10:17, Scott Stephens wrote: Since antennas have reactance and radiation resistance, are they always critically damped, or will they ring-down? Is this implied by a swr plot? Can I take 3db points as antenna bandwidth and assume a radiation-resistance loaded-Q from that? Does feed-point impedance change radiation resistance? Thanks Hello, Thin half wave dipoles can also be modeled with a RLC circuit. * The R is *frequency dependent, but in a limited frequency range, a simple RLC circuit is useful. When more accuracy is required , or larger frequency range, a transmission line model with lumped losses is better. HW dipoles close to perfect conducting ground have narrow useful BW, hence high Q factor and the RLC model matches better. As I suspected/feared. If I try to design a pulse generator for a TDR in spice, I'll have to synthesize an appropriate frequency-dependent radiation-resistor. Thicker dipoles have wider bandwidth (so lower Q factor). *In that case even within the useful frequency range the radiation resistance varies (it increases with increasing frequency). *When the Thickness of the dipole (think of a biconical dipole), *is in the range of 0.15 lambda or more, *Q factor will be that low, that you can hardly see the exponential decaying sinusoidal wave (so it behaves more like a heavily damped circuit). Yes, I've noticed UWB antenna look like horns or loops of wide straps If you have access to EM simulation SW you might simulate a construction and compare the impedance versus frequency for your LRC equivalent model. Perhaps an inverse-Fourier transform of that Z vs. freq plot can give me a time-domain impulse graph? Back to your question, most narrow band antennas are not critically damped and have an impulse response with exponential decaying sinusoidal wave shape. * Are you in GPR or equivalent? Yes, I'm interested in TDR and GPR. Thanks, Scott, KB9ETU- Tekst uit oorspronkelijk bericht niet weergeven - - Tekst uit oorspronkelijk bericht weergeven - Hello Scot, Now it becomes a different story. You are talking about large relative BW. The concept of radiation resistance is nice for small structures, but in case of large structures (for example traveling wave antennas), you get (for example) impedance transformation. A flaring and widening parallel strip transmission line has almost constant real input impedance for frequencies above the quarter wave length, without any resistive damping. However when the design is not OK, the radiation pattern can be frequency dependent and may show notches in the desired direction for certain frequency ranges. Also the radiation centre may vary with frequency. Some wide band antennas create a nice impulse response by absorbing most of the power in resistance (resistive loaded dipole). Others are backed by wide band absorbing material, to avoid frequency selective reflection. So one can make an antenna with close to 50 Ohms real impedance over wide frequency range (so no oscillatory behavior), but it does not mean that such an antenna is good for your application as you also have to consider radiation pattern (versus frequency). Best regards, Wim PA3DJS www.tetech.nl The mail is OK when you remove abc. |
#10
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I sense a little confusion about the differences between time and
frequency domain analysis. This is really common. Impedance is a frequency domain concept, and works in the time domain only in a very limited way. Impedance consists of two parts, a magnitude and phase or a resistance and reactance. Reactance is a function of frequency, so it has no simple equivalent meaning in the time domain which encompasses a very wide range of frequencies all at once. Likewise for magnitude and phase. So only resistance is really useful in time domain analysis. Some impedances, like a low loss transmission line's Z0, are essentially purely resistive, so they're useful. But complex impedances, in general, are not. With a TDR system you can readily see and interpret frequency-dependent resistances like skin effect, "capacitive" and "inductive" regions (where the Z0 of the transmission path is lower or higher than the reference respectively), and a lot of other features. But it's difficult to get an intuitive feel for the relationship between a TDR and frequency domain analysis of a lot of circuits which change characteristics rapidly with frequency (in other words, which have a reasonably high Q). A TDR generally produces a fast rising step or its derivative, a narrow pulse. Viewed in the frequency domain, this step or pulse has energy over a very wide range of frequencies, but very little in any narrow range of frequencies. So if a circuit has high Q, there's usually not enough energy at or near the resonant frequency to get the circuit to ring at any appreciable amplitude, and you often won't even see the circuit with a TDR. (By this I mean that, for example, a high Q series resonant circuit looks like an open and a parallel resonant circuit like a short, which are essentially their impedances except near resonance.) A dipole is a pretty low Q circuit in the frequency domain, so you can see a periodic time domain response that corresponds to its basic resonance. It looks like a lossy, open circuited transmission line whose characteristic impedance increases from the feed point outward. The response, which I'm sure you can also find somewhere on the web, looks something like a distorted (due to the changing Z0) square wave whose amplitude diminishes with time (due to the radiative "loss"). Roy Lewallen, W7EL |
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