Design of Integrated Circuit Planar Resistors with Slits and Curved Boundaries: Part 2

The problem of determining the shape of a polygonal integrated circuit planar resistor to a desired value of resistance has applications in the IC fabrication technology. The resistor design problem can be simplified for modular applications and fabrication by changing only one parameter of the polygon, e.g., length of a slit, to achieve the desired value of resistance. This paper describes a method of numerical conformal mapping to compute the length of the slit to obtain the desired value of resistance when the shape of the polygon is given. The extended Schwarz‐Christoffel transformation developed by the author and others is used when polygons with curved segments are encountered. The resulting algorithm is easily programmable and accurate. Rapid convergence is achieved. Examples are given and other applications of the method are presented.