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Independence of waves
Owen Duffy wrote:
If we were to place a receiving antenna at a point in space to couple energy from the waves, the amount of energy available from the antenna is the superposition of the response of the antenna to the wave from each source. This is quite different to saying that the electric field (or the magnetic field) at that point is the superposition of the field resulting from each antenna as is demonstrated by considering the response of another recieving antenna with different directivity (relative to the two sources) to the first receiving antenna. A practical example of this is that an omni directional receiving antenna may be located at a point where a direct wave and a reflected wave result in very low received power at the antenna, whereas a directional antenna that favours one or other of the waves will result in higher received power. This indicates that both waves are independent and available to the receiving antenna, the waves do not cancel in space, but rather the superposition occurs in the antenna. Well, sort of. Waves superpose everywhere, including presumably, the space that an antenna might happen to occupy. But an antenna that approaches a wavelength in physical length will not see a uniform pattern along its length. The net effect will certainly be a function of the orientation of the antenna. Considering the steady state: If at some point two or more coherent waves travelling a one direction, those waves will undergo the same phase change and attenuation with distance as each other and they must continue in the same direction (relative to the line), and the combined response in some circuit element on which they are incident where superposition is valid (eg a circuit node) will always be as if the two waves had been superposed... but the response is not due to wave superposition but superposition of the responses of the circuit element to the waves. It is however convenient, if not strictly correct to think of the waves as having superposed. It is certainly true that a probe can perturb the nature of the environment it is investigating. But it is not accurate to describe the probe as determining the nature of that environment. If it is effective, it will simply observe and report nature. Steady state analysis is sufficiently accurate and appropriate to analysis of many scenarios, and the convenience extends to simplified mathematics. It seems that the loose superposition of waves is part of that convenience, but it is important to remember the underlying principles and to consciously assess the validity of model approximations. Superposition as a convenient model approximation. Of what, I wonder? A well reasoned and interesting article, Owen. Thank you. 73, Jim AC6XG |
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