Modelling of noisy EM field propagation using correlation information of sampled data

2017

Adv. Radio Sci.

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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.

“…Similar results have been obtained in (Russer andRusser, 2015, 2011d, a, c;Russer et al, 2014), however, with traditional vector calculus notation.…”

Section: Stochastic Electromagnetic Fieldssupporting

confidence: 87%

Differential form representation of stochastic electromagnetic fields

Haider

2017

Adv. Radio Sci.

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“…where G EJ (x − x , ω) is the Green's dyadic relating the excited electric field E(x, ω) to J (x, ω) and the integration is extended over the whole volume V where J (x, ω) is nonvanishing [6], [9]. From (3), (2), and (1) we obtain…”

Section: Stochastic Em Fieldsmentioning

confidence: 99%

Correlation Transmission Line Matrix (CTLM) modeling of stochastic electromagnetic fields

Cangellaris

2016 IEEE MTT-S International Microwave Symposium (IMS)

2016

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In this work we introduce the Correlation Transmission Line Matrix (CTLM) method for time-domain computation of the auto-and cross correlation functions (ACFs and CCFs) of stationary stochastic electromagnetic fields. These ACFs and CCFs are computed from the Johns matrices, i.e. the discretetime TLM Green's functions and are directly related to the EMI power spectra. c 2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.Cite as: Russer, J.A.; Cangellaris, A.; Russer, P., "Correlation Transmission Line Matrix (CTLM) modeling of stochastic electromagnetic fields,"

“…This aperture field is the source yielding a far field . Let the far field be related to the near field via (16) where the scalar Green's function is given by (17) Whereas amplitudes cannot be defined for stochastic quantities, we can introduce power and energy spectra for their description. The function describes the scalar field in time domain.…”

Section: Scalar Stochastic Fieldsmentioning

confidence: 99%

“…The basic idea was introduced in [17], and this manuscript expands by completing the theoretical framework in deriving the formulas for the electric as well as the magnetic fields computed in both cases, either from electric or magnetic excitation currents. Additional theoretic and experimental examples are given showing the application of the methodology for the near-and far-field modeling of stochastic electromagnetic fields.…”

Section: Introductionmentioning

confidence: 99%

Modeling of Noisy EM Field Propagation Using Correlation Information

IEEE Trans. Microwave Theory Techn.

2015

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In this paper, an efficient method for the numerical simulation of near-and far-field propagation of stochastic electromagnetic (EM) fields is presented. The method is based on the transformation of field correlation dyadics using Green's functions or the field transfer functions computed for deterministic fields. The method accounts for arbitrary correlations between the noise radiation sources and allows to compute the spatial distribution of the spectral energy density of noisy electromagnetic sources. The introduced methodology can be combined with available electromagnetic modeling tools. It is shown that the method of moments can be applied to solve noisy electromagnetic field problems by network methods applying correlation matrix techniques. Examples demonstrating the strong influence of the correlation between the sources on the spatial distribution of the radiated noise field are presented.Index Terms-Electromagnetic interference, near-field scanning, noisy electromagnetic fields, stochastic electromagnetic fields. 0018-9480