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Walter Maxwell wrote in
: .... that rho is to replace upper case lambda as the standard symbol for reflection coefficient, and SWR to represent standing wave ratio. Most Chipman's formulae that you quoted work correctly if rho means the magnitude of the complex reflection coefficient (rather than the (complex) reflection coefficient as you say above). The formulae were probably written when we used slide rules and worked out the real and imaginary parts separately, whereas today with access to tools that treat complex numbers as such, we can carry a complex value through calculations as a single value then separate out the real an imaginary parts at the end. There is also no real burden in treating Zo as complex instead of the lossless / distortionless line approximation. The different notation is painful, isn't it. I write Gamma to mean uppercase-gamma, and use Gamma for the complex reflection coefficient, rho for the magnitude of Gamma, lambda for wavelength, don't use Lambda (I don't think), and gamma for the complex line propagation constant. It think it is a fairly common convention, but if what you say above is literally correct, it is not compliant with ASA Y10.9-1953. Owen |
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