function of the proposed structure is presented the critical coupling condition is obtained systematic studies of the over coupled critically coupled and under coupled scenarios for the parallel coupled resonators 102 104 indicate that strong over coupling case is desired for arbitrary m ary quadrature signal generation the interaction between the resonances of the resonators 102 104 is analyzed and its critical role in m ary quadrature signal generation is presented the effects of asymmetries in the coupling strengths and quality factors of the resonators 102 104 are systematically studied and phase compensations for such asymmetries are presented lastly the electrical aspects of the proposed pcdr micro resonator base modulators are examined the coupling between the resonators 102 104 and the through waveguide 106 may be described by multi waveguide coupling theory multi waveguide coupling theory is well known in the art and therefore will not be described herein still it should be appreciated that the input fields and output fields of the pcdr micro resonator 100 may be defined by the following mathematical equations 1 and 2 respectively e n in x y 0 m n x y u n 0 u2261 m n x y a n 1 e n out x y l m n x y exp i u03b2l u n l u2261 m n x y b n 2 where.