Image impedance

The image impedance is then given by, This method requires no prior knowledge of the topology of the network being measured.In fact, in the limiting case of a chain of cascaded networks where the size of each single network is approaching an infinitesimally small element, the mathematical limit of the image impedance expression is the characteristic impedance of the chain.Conversely, it is possible to analyse a transmission line with lumped components, such as one utilising loading coils, in terms of an image impedance filter.term represents the voltage ratio that would be observed if the maximum available power was transferred from the source to the load.In the case of a network with symmetrical image impedances, such as a chain of an even number of identical L sections, the expression reduces to, In general, γ is a complex number such that, The real part of γ, represents an attenuation parameter, α in nepers and the imaginary part represents a phase change parameter, β in radians.
Simple 'L' network with series impedance Z and shunt admittance Y . Image impedances Z i 1 and Z i 2 are shown
Showing how a 'T' section is made from two cascaded 'L' half-sections. Z i 2 is facing Z i 2 to provide matching impedances
Showing how a 'Π' section is made from two cascaded 'L' half-sections. Z i 1 is facing Z i 1 to provide matching impedances
two-port networkimpedancefrequency domainadmittancecharacteristic impedancetransmission lineslumpedloading coilstransfer functiontransmission parametermaximum available power was transferrednepersradiansPropagation constantbalancedConstant k filtersm-derived filtersIterative impedanceLee, Thomas H.Feynman, RichardLeighton, Robert B.Sands, MatthewThe Feynman Lectures on Physics