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"Peter O. Brackett" wrote:
On another whole level it simply DOES NOT MATER which defiinition of the reflection coefficient one uses to make design calculations though, as long as the definition is used consistently throughout any calculations. One can convert any results based on the non-conjugate version of rho to results based on the conjugate version of rho and vice versa. In other words, neither version is "RIGHT" or "WRONG" as long as the results from using that particular definition are interperted correctly in terms of the original definition. While true, this is not what is occuring in the 'revised rho' debate. Their claim is simply that 'classical rho' has been mis-calculated all these years and we should start using the 'proper' calculation. There is no acknowledgement that 'revised rho' will have different properties than 'classical rho' and that, therefore, they are introdcing a new entity. Their claim of incorrectness derives from the fact that 'classical rho' can have a magnitude greater than 1 and a belief that this means reflected power is greater than incident. This belief is inconsistent with generally accepted knowledge, so rather than modifying the belief, the derivation of 'classical rho' is rejected. Their second difficulty derives from not being able to separate the behaviour at a particular interface from the system behaviour. They do not recognize that a reflection at a particular interface (which would reduce energy transfer at that interface), can improve overall system energy transfer by improving the energy transfer at another interface. This being what a transmission line transformer does, for example. Once they overcome these two hurdles, they will have no problems with the classical definition of rho. So... who gives a damm about the defintion of rho as long as you are consistent in it's use. It simply doesn't matter! [Unless you choose M to be singular. ;-) ] There is no problem if this is what the 'revised rho' crowd really is attempting to do, but they should clearly state this and have the courtesy to pick a new name (despite Humpty-Dumpty's assertions) to facilitate clear communication. Really though, you are thinking several levels above them when you hypothesize the existence of other, self-consistent, definitions of rho. They are still at the 'classical rho computation is just plain wrong' level. ....Keith |
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