4. Radiated Fields

  1. Hubregt J. Visser

Published Online: 27 MAR 2012

DOI: 10.1002/9781119944751.ch4

Antenna Theory and Applications

Antenna Theory and Applications

How to Cite

Visser, H. J. (2012) Radiated Fields, in Antenna Theory and Applications, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9781119944751.ch4

Author Information

  1. Holst Centre/imec, The Netherlands

Publication History

  1. Published Online: 27 MAR 2012
  2. Published Print: 17 FEB 2012

ISBN Information

Print ISBN: 9781119990253

Online ISBN: 9781119944751



  • current density;
  • Lorentz reciprocity;
  • magnetic vector potential;
  • Maxwell equations;
  • radiated fields


To be able to calculate the radiated fields of an antenna, the author starts by calculating the radiated fields of an arbitrary current density. The radiated fields will be a special case of the general situation described in this chapter. The origin of the calculations is the Maxwell equations, wherein current density and charge density are the sources. By introducing the magnetic vector potential and the Lorentz gauge, we will be able to calculate the radiated fields, based on the current density only. The Lorentz reciprocity theorem states that the relationship between a time-varying current density and the resulting electric field is unchanged if one interchanges the points where the current density is placed and where the field is measured.

Controlled Vocabulary Terms

current density; Einstein-Maxwell equations; Lorentz transformation