Journal cover Journal topic
Advances in Radio Science An open-access journal of the U.R.S.I. Landesausschuss in der Bundesrepublik Deutschland e.V.
Journal topic

Journal metrics

Journal metrics

  • CiteScore value: 0.50 CiteScore
    0.50
  • SNIP value: 0.570 SNIP 0.570
  • IPP value: 0.25 IPP 0.25
  • SJR value: 0.172 SJR 0.172
  • Scimago H <br class='hide-on-tablet hide-on-mobile'>index value: 19 Scimago H
    index 19
  • h5-index value: 7 h5-index 7
Volume 15
Adv. Radio Sci., 15, 21-28, 2017
https://doi.org/10.5194/ars-15-21-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
Adv. Radio Sci., 15, 21-28, 2017
https://doi.org/10.5194/ars-15-21-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.

  21 Sep 2017

21 Sep 2017

Differential form representation of stochastic electromagnetic fields

Michael Haider and Johannes A. Russer Michael Haider and Johannes A. Russer
  • Institute for Nanoelectronics, Technical University of Munich, Arcisstraße 21, 80333 München, Germany

Abstract. In this work, we revisit the theory of stochastic electromagnetic fields using exterior differential forms. We present a short overview as well as a brief introduction to the application of differential forms in electromagnetic theory. Within the framework of exterior calculus we derive equations for the second order moments, describing stochastic electromagnetic fields. Since the resulting objects are continuous quantities in space, a discretization scheme based on the Method of Moments (MoM) is introduced for numerical treatment. The MoM is applied in such a way, that the notation of exterior calculus is maintained while we still arrive at the same set of algebraic equations as obtained for the case of formulating the theory using the traditional notation of vector calculus. We conclude with an analytic calculation of the radiated electric field of two Hertzian dipole, excited by uncorrelated random currents.

Publications Copernicus
Download
Citation
Share