Electromagnetism: Fundamentals

Mikael Sahrling

doi:10.1017/9781108682336.005

4 - Electromagnetism: Fundamentals

Published online by Cambridge University Press: 08 August 2019

Mikael Sahrling

Show author details

Mikael Sahrling: Affiliation:
Tektronix Inc., Oregon

Book contents

Get access

Summary

In this chapter Maxwell’s equations are described and common ways to solve them analytically are discussed. The equations imply certain properties of matter with which it interacts and full solutions that describes this behavior analytically are provided from first principles. The chapter shows specifically that one can derive very fundamental properties with simple calculations. Furthermore, the concept of inductance and capacitance are highlighted by reference to their duality. Various high-speed phenomena are studied in some detail with particular attention to the current distributions induced by the magnetic field.

Keywords

Maxwell’s equations inductance capacitance skin effect induced currents boundary conditions solutions

Type: Chapter
Information: Fast Techniques for Integrated Circuit Design , pp. 50 - 100

DOI: https://doi.org/10.1017/9781108682336.005 [Opens in a new window]

Publisher: Cambridge University Press

Print publication year: 2019

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

4.8 References

Eom, H. J., Electromagnetic Wave Theory for Boundary Value Problems, Berlin: Springer Verlag, 2004.Google Scholar

David, M. Pozar, Microwave Engineering, 4th edn., Hoboken, NJ: Wiley and Sons, 2011.Google Scholar

Longair, Malcolm, Theoretical Concepts in Physics, Cambridge, UK: Cambridge University Press, 2003.Google Scholar

Landau, L. D., Lifshitz, Electrodynamics of Continuous Media, 2nd edn., Oxford, UK: Pergamon Press, 1984.Google Scholar

Collin, R. E., Foundations for Microwave Engineering, 2nd edn., IEEE Press on Electromagnetic Wave Theory, Hoboken, NJ: Wiley-IEEE, 1992.Google Scholar

Harrington, R. F., Time-Harmonic Electromagnetic Fields, 2nd edn., IEEE Press on Electromagnetic Wave Theory, Hoboken, NJ: Wiley-IEEE, 2001.CrossRef Google Scholar

Johnson, Howard W. and Graham, Martin, High-Speed Digital Design: A Handbook of Black Magic, Englewood Cliffs, NJ: Prentice Hall, 1993.Google Scholar

Landau, L. D. and Lifshitz, E. M., The Classical Theory of Fields, Oxford, UK: Pergamon Press, 1984.Google Scholar

Shadowitz, A., The Electromagnetic Field, Mineola, NY: Dover Press, 2010.Google Scholar

Rojansky, B. and Rojansky, V. J., Electromagnetic Fields and Waves, Mineola, NY; Sykulski, J. K., Engineering Electromagnetism, Oxford, UK: Oxford University Press, 1994.Google Scholar

Jackson, J. D., Classical Electrodynamics, 3rd edn., Hoboken, NJ: Wiley, 1998.Google Scholar

Balanis, C. A., Advanced Engineering Electromagnetics, 2nd edn., Hoboken, NJ: Wiley, 2012.Google Scholar

Niknejad, A., Electromagnetics for High-Speed Analog and Digital Communication Circuits, Cambridge, UK: Cambridge University Press, 2007.CrossRef Google Scholar

Felsager, B., Geometry Particles and Fields, New York: Springer, 1998.Google Scholar

Rosa, E. B., “The Self and Mutual Inductances of Linear Conductors,” Bulletin of Bureau of Standards, Vol. 4, No. 2, 1908.CrossRef Google Scholar

Belevitch, V., “The Lateral Skin Effect in a Flat Conductor,” Philips Technical Review 32, pp. 221–231, 1971.Google Scholar

Hermann, H. A. and Melcher, J. R., Electromagnetic Fields and Energy, Englewood Cliffs, NJ: Prentice Hall, 1989.Google Scholar

Ahlfors, L., Complex Analysis, New York: McGraw-Hill, 1966.Google Scholar

Olver, P., “Complex Analysis and Conformal Mapping,” www-users.math.umn.edu/~olver/ln_/cml.pdf, Minnesota, 2017.Google Scholar