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This paper presents new detailed features of microstrip lines on a generic pseudochiral medium. A full-wave analysis is also proposed based on the spectral domain technique to extract the propagation characteristics of the new line in a straightforward way is compared to other methods in the literature. In addition, The Extended Method of Lines (E-MoL) is implemented to validate the results. It is found that the orientation of the Ω particles has significant effects on propagation characteristics of the microstrip line. Several novel characteristics are achieved, which is not the case for conventional microstrip lines. These appealing phenomena may be very promising in realization of new devices in microwave and millimeter-wave integrated circuits.