Chip-to-Chip and On-Chip Communications

Nossek, Josef A.; Russer, P.; Noll, Tobias G.; Mezghani, Amine; Ivrlač, Michel T.; Korb, Matthias; Mukhtar, Farooq; Yordanov, Hristomir; Russer, Johannes A.

doi:10.5772/52981

Cited by 7 publications

(1 citation statement)

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“…Accurate noise modeling is crucial with respect to electromagnetic compatibility (EMC), electromagnetic interference (EMI), and signal integrity (SI) considerations for the design of electronic components and systems. A careful modeling of noisy processes and stochastic electromagnetic fields shows also potential to improve wireless-and on-chip communication (Nossek et al, 2013).…”

Section: Introductionmentioning

confidence: 99%

Differential form representation of stochastic electromagnetic fields

Haider

Russer

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.

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Section: Introductionmentioning

confidence: 99%