Domain Decomposition Method for Conformal Modules Applied to the Design of On-Chip Passives in CMOS

The domain decomposition method for conformal modules (DDM-CM), that was developed from the combination of conformal mapping theory and domain decomposition method, and its application in the design of passive devices on SOC, for examples, the resistance and inductance calculation of a longer thin film, the capacitance for arbitrary quadrilateral, and modeling the spiral inductors on SOI-CMOS substrates, are introduced in this paper. The advantage of DDM-CM is that the obtained result is simple and accurate, and that this method is free from solving the complex conformal mapping function and is valid for arbitrary contour of conductor as long as one can solve the conformal module.