Home |
Search |
Today's Posts |
#10
![]() |
|||
|
|||
![]()
Roy Lewallen wrote in message ...
What if the antenna was a wire shorting the transmission line? Then there would be very little radiated power, and a lot of reflected power. Yes, there would. But every watt delivered to that wire would be either radiated or dissipated. Actually mostly reflected back to the source, so not radiated or dissipated assuming ideal lossless transmission lines. You can make a transformer to match 50 Ohms to, say, 200 Ohms or so. Why not for 50 to 377? It's just another number. That's right. You can make a transformer that converts the circuit V/I ratio to 377 ohms. But this doesn't make a plane wave whose E to H field ratio is 377 ohms. But you can have an antenna with a feedpoint impedance of, say, 3 - j200 ohms, and a couple of wavelengths from the antenna, the ratio of E to H field produced by that antenna will be 377 ohms. Another antenna, with feedpoint impedance of 950 + j700 ohms, will also produce a fields whose E to H ratio is 377 ohms. In fact, you can have any antenna impedance you'd like, and a few wavelengths away, the ratio of E to H field will be 377 ohms, provided the antenna is immersed in something resembling free space. But the fields in, on, or around a 377 ohm transmission line are unlikely to have an E to H ratio of 377 ohms. You're trying to say that the 377 ohm E/H ratio of free space is the same thing as a V/I ratio of 377 ohms. It isn't. Any more than 10 ft-lbs of torque is the same as 10 ft-lbs of work or energy. Interesting. I'll have to look this up more. Except in the case of free space, with a given permeability and permittivity, you have the impedance of free space, which doesn't need a transmission line. Sorry, I can't make any sense out of that. Well, my point was that you don't need a transmission line for free space because otherwise it wouldn't be wireless. But your above point is well taken, that there is no current flowing in free space, in an expanding EM wave, while there definitely is current in a transmission line. Cool. But a network analyzer looking into a black box will not be able to tell you whether the 50 Ohms it is reading is radiated resistance or dissipated resistance. This seems to be the crux of my question. You're right. The network analyzer can't tell you what's happening to those watts going into the antenna. Too bad. If it could, we'd have a really cool, easy way to measure antenna efficiency, wouldn't we? That would be excellent. If we insist on separating all resistance into "dissipative" and "dissipationless" categories, we have to consider time. Within a small fraction of a second, most of the energy going into an antenna is dissipated -- mostly in the ground or (at HF) the ionosphere. So we'll have to consider that portion of the radiation resistance as "dissipative". The stuff that goes into space will take longer to turn into heat, but it will eventually. Certainly the EM wave will heat up ever so slightly any bits of metal it comes across on the way to outer space. So the remainder of the radiation resistance is one that's initially dissipationless but becomes dissipative with time. Just think, we can have a whole new branch of circuit theory to calculate the time constants and mathematical functions involved in the transition between dissipationless and dissipative states! And of course it would have to be cross-disiplinary, involving cosmology, meteorology, and geology at the very least. There are textbooks to be written! PhD's to earn! Just think of the potential papers on the resistance of storage batteries alone! High self-discharge rate means a faster transition from dissipationless to dissipative. . . And the EM wave will theoretically continue forever, even if it is in steradians (power dropping off by the cube of the distance?), so perhaps eventually most of it will be dissipated as heat. But, as you know, a capacitor also never fully charges... Sorry, I digress. I just get so *excited* when I think of all the possibilities this opens up for all those folks living drab and boring lives and with so much time and so little productive to do. . . But has this ******* creation really simplified things or enhanced understanding? Very interesting stuff. And it's certainly enhanced MY understanding. What's wrong with thinking of an antenna as a type of series Inductor, with a distributed shunt capacitance, that can be thought of as a type of distributed "L" matching network that transforms from 50 Ohms to 377? Because that's not what it does, and thinking of it that way leads you to impossible conclusions. The antenna is converting power to E and H fields. The ratio of E to H, or the terminal V to I are immaterial to the conversion process. You're continuing to be suckered into thinking that because the ratio of E to H in free space has the dimensions of ohms that it's the same thing as the ratio of V to I in a circuit. It isn't. A strand of spaghetti one foot long isn't the same thing as a one foot stick of licorice, just because the unit of each is a foot. But an antenna must be performing some sort of transformer action. If you were designing an antenna to radiate underwater, or though Jell-o, or any other medium of a different dielectric constant than free space, you would have to change it's geometry. Even if it is E to H, and not V to I. If an antenna is not a transformer of some type, then why is it affected by it's surroundings so much? They obviously are, just like the primary's impedance is affected by what the secondary sees in a transformer. Certainly having lots of metal in close proximity will affect the impedance of your antenna. This is related to how you need to bend the ground radials of a 1/4 WL vertical whip at 45 deg angles down, to get the input impedance closer to 50 Ohms (as opposed to 36 Ohms or something like that if you leave them horizontal). There are a number of ways in which an antenna and transmission line are similar. But don't take the analogy too far. Start with a quarter wavelength transmission line, start splitting the conductors apart until they're opposed like a dipole, and tell me how you've ended up with an input impedance of 73 ohms. Well, I'm not sure, but you would start off at an open, which would be transformed to a virtual short. But from there, it sounds like a complex mathematical derivation to get the 73 Ohms. My point is that the 73 Ohms is dependant on the dipole's surroundings, depending on how far from the ground and such, so it is a transformer of some sort. There are plenty of texts you can read, on all different levels, if you're really interested in learning about antennas, fields, and waves. Roy Lewallen, W7EL Which one's can you recommend? Slick |
Thread Tools | Search this Thread |
Display Modes | |
|
|
![]() |
||||
Thread | Forum | |||
Conservation of Energy | Antenna |