I am designing a micro-strip bandpass filter using parallel coupled lines. I have problem in obtaining width and spacings of coupled lines from even and odd mode characteristic impedances. Can anyone please help me out .
What problem? Do you have a basic idea how to proceed?
Have you looked at transmission line calculators which calculate Z0e/Z0o from the physical dimensions?
Read Hong&Lancaster "Microstrip filters for RF/microwave applications" and all will become clear to you. It contains practical techniques also that can be used in conjunction with a simulator to optimize the coupling factors (spacings) and external Q-factor of the first resonator.