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On Jan 2, 9:59*am, Cecil Moore wrote:
Keith Dysart wrote: Can you make this all work for a pulse, or a step function? I accept your "NO" and agree that EM waves are incapable of providing solutions for pulse or step excitation. But why don't you just say so clearly. Please reference a good book on optical EM waves for a complete answer. Given that optical EM waves are only capable of solving a subset of the uses of transmission lines, it is not obvious why I should study them when I can invest in learning approaches that will do the whole job. It is *not me* making it work. True. And as you have said, it does not work for pulses or steps. It is a body of physics knowledge that has existed since long before you were born. It should have been covered in your Physics 201 class. That you are apparently unaware of such is a display of basic ignorance of the science of EM waves. Some who claim to have studied them thoroughly seem to be constrained by their limitations. Is that better? The basic theory applies specifically to coherent waves (which are the only EM waves capable of truly interfering). CW RF waves are close enough to ideal coherency that the theory works well. It would no doubt work for a coherent Fourier series as well but I don't want to spend the time necessary to prove that assertion. How do you compute * Ptot = Ps + Pr + 2*SQRT(Ps*Pr)cos(A) for a pulse or a step? The above equation applies to coherent signals. It is known not to work when the signals are not coherent because the angle 'A' never reaches a fixed steady-state value. Or is your approach limited to sinusoids? Again, it is not *my* approach and is described in any textbook on "Optics" including Hecht and Born & Wolf. Well, others more knowledgeable than I in optics have disputed whether *your* approach accurately represents those described in the textbooks. In any case, being applicable only to sinusoids limits the general applicability to transmission lines which happily work at DC. ...Keith |
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