학술논문

Calculating electromagnetic force and energy using singularity functions
Document Type
Conference
Source
IEEE Antennas and Propagation Society International Symposium (IEEE Cat. No.02CH37313) Antennas and propagation Antennas and Propagation Society International Symposium, 2002. IEEE. 1:680-683 vol.1 2002
Subject
Fields, Waves and Electromagnetics
Communication, Networking and Broadcast Technologies
Components, Circuits, Devices and Systems
Engineered Materials, Dielectrics and Plasmas
Aerospace
Electromagnetic forces
Conductors
Capacitors
Electrostatics
Magnetostatics
Voltage
Power engineering and energy
Electromagnetic analysis
Microwave theory and techniques
Electromagnetic waveguides
Language
Abstract
The purpose of this article is to provide physical insight into a new analytical approach to calculate electromagnetic force and energy using singularity functions, specifically the unit impulse function and its integral, the unit step function. The electromagnetic force acting on a charged conductor is expressed in terms of a special singularity integral which is the sifting integral of the unit step function. The well-known parallel-plate capacitor problem in electrostatics is considered as an example to demonstrate the validity and use of this special integral. The authors believe that this technique can easily be extended to problems involving high-frequency microwave systems such as waveguides and resonant cavities.