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Charles F. Bunting, Shih-Pin Yu, Zulfiqar A. Khan

Statistical Shielding Effectiveness – A Modal/Moment Method Approach to Characterize the Average Shielding Effectiveness over a Wide Frequency Range Including Resonances. Charles F. Bunting, Shih-Pin Yu, Zulfiqar A. Khan

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Charles F. Bunting, Shih-Pin Yu, Zulfiqar A. Khan

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  1. Statistical Shielding Effectiveness – A Modal/Moment Method Approach to Characterize the Average Shielding Effectiveness over a Wide Frequency Range Including Resonances Charles F. Bunting, Shih-Pin Yu, Zulfiqar A. Khan Oklahoma State University School of Electrical and Computer EngineeringStillwater OK 74078e-mail: reverb@okstate.edu(405) 744-1584 Funded under NASA Grant NCC-1-01032

  2. Overview • Modal/MoM -treat as reverb with freq. stirring • SE vs. Frequency • Various Aperture Sizes • SE vs. surface area/volume • Various Frequencies • Future plans...

  3. Why is this needed? Trends and bounds are defined Energy-uniformity High Frequency Multimode Well defined Aperture Polarizability Low Frequency Below first resonance ? Mid-Frequency Not quite Multimode Shielding Effectiveness Frequency

  4. Basic geometry…

  5. What is Modal/MoM? • Use Green’s function for a rectangular cavity for the interior cavity fields excited by the aperture • Use free-space Green’s function to determine scattered field outside • Express integral equation, equating tangential components at the aperture, and solving the matrix expression (M.D. Deshpande, “Electromagnetic Field Penetration Studies”, NASA/ CR-2000-210297, June 2000.)

  6. What is Modal/MoM? unknown mode amplitude

  7. What is Modal/MoM? Via equivalence the magnetic current infinite ground plane

  8. What is Modal/MoM? Weyl expansion

  9. What is Modal/MoM? The y-polarized incident electric field outside: The x-polarized magnetic field :

  10. What is Modal/MoM? inside the box

  11. What is Modal/MoM? Boundary Condition:

  12. What is Modal/MoM? Solve for Urpq and use to express fields inside

  13. Hx Ey Single Aperture 10  0.5 cm aperture

  14. Single Aperture SEy Single point

  15. Single Aperture SEy

  16. SE vs. Frequency Varying Aperture Size – 1 aperture

  17. SE vs. Frequency Varying Aperture Size – 2 apertures

  18. SE vs. Frequency Varying Aperture Size – 4 apertures

  19. SE vs. Frequency Varying Aperture Size – 2 apertures >>> Different volume!

  20. SE vs. Frequency Varying Aperture Size – 1 aperture >>> Different volume!

  21. SE vs. Frequency Varying Aperture Size – 4 apertures >>> Different volume!

  22. A different approach Class of Volume: V Class of surface area: S Form a ratio (as a percentage): S/V % This Class is that of circular volume with elliptical apertures…

  23. SE vs. S/V % Various Frequencies – 2 apertures

  24. SE vs. S/V % Various Frequencies – 4 apertures

  25. SE vs. S/V % Various Frequencies – A wider range of ratios in the rectangular class

  26. SE vs. S/V % Various Frequencies – A summary…

  27. Conclusions • Examined SE for limited frequency range • Examined numerical method/basic fields • Explored SE for various aperture configurations • Examined S/V ration > classes of SE • Future • incidence angle and polarization variation  • limitations of frequency stirring  • Multiple components, total fields • Probability density function ???

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