Maxwell’s equations and the analysis of electromagnetic devices

  • Avner Friedman
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 67)


Maxwell’s equations provide the mathematical foundation for analyzing a broad range of devices including electronic components, solid-state devices, wave guides, integrated circuits, energy conversion devices, and electrooptic devices. On May 27, 1994 Edward P. Furlani from Eastman Kodak Company gave a brief overview of the Maxwell equations with emphasis on common applications and a survey of various solution methods. He then described a specific application to the prediction of the transient behavior of electromechanical devices. These devices are used for controlled movement and positioning, and their behavior is typically governed by a coupled system of nonlinear differential equations with coefficients and forcing terms which depend on the electromagnetic field. Furlani’s approach, carried out in [1], [2], [3], is first to perform field analysis in order to express the field-dependent terms in a “closed” form, and then to proceed by numerically integrating the dynamical system.


Boundary Element Method Maxwell Equation Magnetic Circuit Coulomb Gauge Electromagnetic Actuator 
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  1. [1]
    E.P. Furlani, J.K. Lee and D. Dowe, Predicting the dynamic behavior of moving magnet actuators, J. AppL Phys., 73 (1993), 3555–3559.CrossRefGoogle Scholar
  2. [2]
    E.P. Furlani and M. O’Brien, Analysis of axial-field actuators, 6th Joint MMM—Intermag Conference, Albuquerque, New Mexico, June, 1994.Google Scholar
  3. [3]
    E.P. Furlani and R. Bryant, Analysis of resonant actuators, 6th Joint MMM—Intermag Conference, Albuquerque, New Mexico, June, 1994.Google Scholar
  4. [4]
    J.D. Jackson, Classical Electrodynamics, John Wiley & Sons, New York, 2nd edition (1975).zbMATHGoogle Scholar

Copyright information

© Springer-Verlag New York, Inc. 1995

Authors and Affiliations

  • Avner Friedman
    • 1
  1. 1.Institute for Mathematics and its ApplicationsUniversity of MinnesotaMinneapolisUSA

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