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Average Linear and Angular Momentum and Power of Random Fields Near a Perfectly Conducting Boundary

Arnaut, Luk R.; Gradoni, Gabriele

Authors

Luk R. Arnaut

Gabriele Gradoni



Abstract

The effect of a perfectly conducting planar boundary on the average linear momentum (LM), angular momentum (AM), and their power of a time-harmonic statistically isotropic random field is analyzed. These averages are purely imaginary, and their magnitude decreases in a damped oscillatory manner with distance from the boundary. At discrete quasi-periodic distances and frequencies, the average LM and AM attain their free-space value. Implications for the optimal placement or tuning of power and field sensors are analyzed. Conservation of the flux of the mean LM and AM with respect to the difference of the average electric and magnetic energies and the radiation stresses via the Maxwell stress dyadic is demonstrated. The second-order spatial derivatives of differential radiation stress can be directly linked to the electromagnetic energy imbalance. Analytical results are supported by Monte Carlo simulation results. As an application, performance-based estimates for the working volume of a reverberation chamber are obtained. In the context of multiphysics compatibility, mechanical self-stirred reverberation is proposed as an exploitation of electromagnetic stress.

Journal Article Type Article
Publication Date Sep 4, 2019
Journal IEEE Transactions on Electromagnetic Compatibility
Print ISSN 0018-9375
Electronic ISSN 1558-187X
Publisher Institute of Electrical and Electronics Engineers
Peer Reviewed Peer Reviewed
Pages 1-10
APA6 Citation Arnaut, L. R., & Gradoni, G. (2019). Average Linear and Angular Momentum and Power of Random Fields Near a Perfectly Conducting Boundary. IEEE Transactions on Electromagnetic Compatibility, 1-10. https://doi.org/10.1109/temc.2019.2928246
DOI https://doi.org/10.1109/temc.2019.2928246
Keywords Electrical and Electronic Engineering; Atomic and Molecular Physics, and Optics; Condensed Matter Physics
Publisher URL https://ieeexplore.ieee.org/abstract/document/8823984

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