Analysis of a Dielectric Coated Cylinder Above a Dielectric Substrate

Abstract

The paper presents a method of evaluation of the variation of capacitance of an insulated wire above a dielectric substrate as a function of substrate and dielectric thickness for a wide range of values of dielectric constant. Application of cotangent hyperbolic transformation transforms conductor boundaries to parallel plates and dielectric boundaries to curved contours, which are divided into a number of subsections. Considering the series combination of all capacitances of the subsections and their parallel combinations, the expression for the total capacitance is obtained in the form of an integral. Numerical data on capacitance reveal, that for dielectric constant above a certain value, increase in separation between the conductor and ground plane due to increase in thickness of the dielectric substrate and width of the dielectric coating on the conductors does not always lead to decrease in the value of capacitance.

Indexing terms:

• Dielectric coated cylinder
• Dielectric substrate
• Capacitance evaluation
• Conformal transformation

Additional information

Notes on contributors

S Das

Sukhendu Das, was born in 1962, in Kharagpur, WB, India. He is currently working as an Assistant Professor in the Deptt of Computer Science and Engg, IIT Madras, Chennai, India. He completed his BTech degree from IIT Kharagpur in the Deptt of Electrical Engg in 1985 and MTech degree in the area of Computer Technology from IIT Delhi in 1987. He then obtained his PhD degree from IIT Kharagpur in 1994. His current areas of research interests are: Computational Intelligence, Computational Science, Digital Image Processing, Pattern Recognition, Computer Graphics and Digital and Analog Systems. Dr Sukhendu Das has been a faculty of the Deptt of CSE, IIT Madras, India, since 1989.