While true, this could be really misleading in practical application. A really good transmitting antenna doesn't always (or even usually) make a really good receiving antenna.
While true, this could be really misleading in practical application. A really good transmitting antenna doesn't always (or even usually) make a really good receiving antenna.
Receiving Antennas for the Radio Amateur Receiving Antennas for the Radio Amateur Transmitting and receiving antennas have different jobs to do. Although the fundamental characteristics of antennas apply to both transmission and reception, the requirements and priorities of receiving antennas can be vastly different from those of transmitting antennas. Receiving Antennas for the Radio Amateur focuses entirely on active and passive receiving antennas and their associated circuits. There are relatively few cases where a radio amateur cannot benefit from a separate, well-designed receiving antenna or antenna system. On the low bands, including our new allocations at 630 and 2,200 meters, heavy emphasis on the receiving end of these radio paths is essential for success.
There is a long, fruitfull discussion of the reciprocity properties of receiving and transmitting antennas.
He discusses at some length how, even at HF, variations in polarization of arriving waves can vastly influence the received signal legibility.
The places where there is a benefit to having different antennas for receive and transmit depends on the characteristics of the channel and on the application. The classic example being where a receiving antenna that reduces reception of local noise can give a better signal-to-noise ratio than an antenna that has been optimized for the best transmitted signal footprint at the location of the other station.
So, while I agree that in practice there are plenty of times where separate receive and transmit antennas have a benefit, it isn't because of antenna physics.
I have an active magnetic loop for HF RX. This allows me to null out near field interference (a few dB from the transformer in the back yard) and provides very broad bandwidth (VLF thru HF). It is 75 feet from the house, away from that near field interference.
TX is an inverted L, up the side of the house, with a tuner at the base. I don’t have electrical length, but I do have power, so I can trade off efficiency for a power amp, and the bandwidth with the tuner. Interference is irrelevant, but I can see some 60 Hz cross modulation on a monitoring receiver, due to coupling to the house wiring.
Do not confuse the analysis of an antenna in free space with real-world deployment with real ground, noise sources of various kinds, and asymmetrical propagation.
Easy answer is, for a fixed load (I.e. a resistor) and frequency, one varies amplitude with power. (perhaps absolute value of area under the curve might be a better description)
For more information see here: http://hyperphysics.phy-astr.gsu.edu/hbase/Waves/powstr.html This is for a physical string, which I think is easier to wrap your head around. The math is very similar for electrical waves.