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Most books about filters or about transmission lines written prior to 1960 will have this as one of the chapters. Also, general handbooks on radio in this time period will have information.
i want to use constant K filter to design a phase shifter.and you know, a constant filter can be transfer two kind of filter.low pass filter and high pass filter.
there will be some phase change between low pass filter and high pass filter. i need the phase.
These are T networks and you can do some easy hand calculations with two loop equations producing two simultaneous equations. Solve these for the transfer function. Be sure to include the source and load impedances (resistances).
What sort of phase shift do you want? There may be easier circuits. The low pass will have zero degrees at DC and 180 or so at the 3 dB cutoff frequency.
For your low pass T and a 1 MHz frequency for the 90 degree phase shift, make each inductor 5.62 uH and the capacitor 4.5 nH. You can scale the frequency to whatever you want by scaling the component reactances to be the same at the new frequency. A more foolproof method is to use a quarter wave long piece of transmission line.
You can calculate the transfer functions of both the circuits in the real and imaginary parts and then express in terms of phasor notation, which is |Magnitude|. phase angle°. Then the phase difference would be the differences in the angles when a similar input is given.
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