Abstract
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.
Reference29 articles.
1. Arnaut, L. R. and Obiekezie, C. S.: Comparison of Complex Principal and Independent Components for Quasi-Gaussian Radiated Emissions From Printed Circuit Boards, IEEE T. Electromagn. C., 56, 1598–1603, https://doi.org/10.1109/TEMC.2014.2343912, 2014.
2. Baev, A., Gorbunova, A., Konovalyuk, M., Kuznetsov, Y., and Russer, J. A.: Planar stochastic sources localization algorithm in EMC problems, in: International Conference on Electromagnetics in Advanced Applications (ICEAA), 9–13 September 2013, Torino, Italy, 440–443, 2013.
3. Cartan, E.: Systèmes Différentielles Extérieurs et leurs applications géométriques, Hermann, Paris, 1945.
4. Felsen, L. B., Mongiardo, M., and Russer, P.: Electromagnetic Field Computation by Network Methods, Springer-Verlag, Berlin, Heidelberg, New York, 2009.
5. Gibson, W. C.: The Method of Moments in Electromagnetics, Chapman & Hall/CRC, Taylor & Francis Group, 2008.
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Stochastic electromagnetic field propagation— measurement and modelling;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2018-10-29
2. Principal component analysis for efficient characterization of stochastic electromagnetic fields;International Journal of Numerical Modelling: Electronic Networks, Devices and Fields;2017-05-03