Time-Domain Modeling of Noisy EM Field Propagation Using Correlation Information

In this contribution we present the time-domain (TD) modeling of stochastic electromagnetic fields. Stochastic electromagnetic fields with Gaussian amplitude probability distribution can be fully described by auto- and cross correlation functions of the field components in time domain or by auto- and cross correlation functions in frequency domain. The cross correlation functions or spectra, respectively, have to be known for the pairs of field components taken at different spatial points. The radiated EMI of electronic devices and circuit boards can be measured by two-point correlation measurements. Two field probes measure the radiated EMI simultaneously. The measured signals are recorded by a digital sampling oscilloscope and the auto- and cross correlation functions or spectra, respectively are computed from the measured data. Based on this data the spatial distribution of the radiated EMI can be computed. Areas of application are the modeling of the electromagnetic interference radiated by digital circuitry inside the system and also into the environment. We already have developed a numerical method for modeling of the noisy EM field propagation based on the transformation of the correlation spectra with Green's functions and subsequent transformation into a network problem via Method of Moments (MoM) [1]. This network problem is solved by correlation matrix methods. Furthermore we have presented a TLM-based time-domain method [2]. In this contribution we present a time-domain Green's function based method for direct TD modeling of the propagation of the correlation functions of the stochastic EM. The correlation functions of the electric and magnetic field components are represented by dyads and the TD correlation Green's function is a rank 4 tensor. The radiated electromagnetic interference (EMI) of electronic circuitry is recorded by two-point measurements of the tangential electric or magnetic field components. The field propagation is modeled with the TD propagation method and compared with measurements.     «

In this contribution we present the time-domain (TD) modeling of stochastic electromagnetic fields. Stochastic electromagnetic fields with Gaussian amplitude probability distribution can be fully described by auto- and cross correlation functions of the field components in time domain or by auto- and cross correlation functions in frequency domain. The cross correlation functions or spectra, respectively, have to be known for the pairs of field components taken at different spatial points. The r...     »