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

Arnaut, Luk R.; Gradoni, Gabriele

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.

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

• Journal Article Type: Article
• Acceptance Date: Jun 25, 2019
• Online Publication Date: Sep 4, 2019
• Publication Date: Sep 4, 2019
• Deposit Date: Oct 29, 2019
• Publicly Available Date: Oct 29, 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
• DOI: https://doi.org/10.1109/temc.2019.2928246
• Keywords: Electrical and Electronic Engineering; Atomic and Molecular Physics, and Optics; Condensed Matter Physics
• Public URL: https://nottingham-repository.worktribe.com/output/2983152
• Publisher URL: https://ieeexplore.ieee.org/abstract/document/8823984