Discrete analysis of regular systems

A novel technique is presented, allowing investigation of periodic interdigital transducers (IDTs) with better accuracy. Discrete analysis of regular systems (DARS) is based on the consistent approach demanding, as well as the Coupling-of Modes (COM) analysis, only the phenomenological knowledge of the reflection, transduction and attenuation coefficients per a grating pitch. Unlike the COM technique, dealing with the differential equations, a system of coupled difference equations (CDE) is applied now to describe the wave amplitudes at cross sections placed in the middle between neighbor pitches along an IDT. By solving CDE directly, one can find out all the desired terms of the transducer P-matrix in a very compact analytical form in the most general case.