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An analytical formulation has been developed for the electromagnetic leakage from an apertured rectangular cavity excited internally by an electric dipole. The leakage fields are represented by the equivalent electric and magnetic dipoles located at the aperture center with their dipole moments related to the “closed cavity” field within the framework of the Bethe's small aperture coupling theory. The “closed cavity” field is obtained by using the mode-expansion method. In this formulation, the leakage field can be expressed as a function of the frequency, the source point, the field point, and the position of the aperture. The formulation then is employed to analyze the influences of the above factors on the shielding effectiveness and the corresponding physical mechanisms are also illuminated. Comparison with the full wave simulation software CST has verified the formulation over a very broad frequency range. It is shown that the near-field shielding effectiveness is smaller than the far-field one, and the electric shielding effectiveness is different from the magnetic one in the near-field zone.
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Keywords:
- electromagnetic leakage /
- electromagnetic shielding /
- aperture coupling /
- rectangular cavity
[1] Henry W O 2009 Electromagnetic Compatibility Engineering (1st ed) (New York: Wiley Interscience)
[2] Zhou B H 2003 EMP and EMP Protection (1st ed) (Beijing: National Defense Industry Press) (in Chinese) [周璧华2003电磁脉冲及其工程防护(北京: 国防工业出版社)]
[3] He J L 2010 Introduction to Electromagnetic Compatibility (Beijing: Science Press) (in Chinese) [何金良2010电磁兼容概论(北京: 科学出版社)]
[4] Gomory F, Solovyov M, Souc J, Navau C, Prat-Camps J, Sanchez A 2012 Science 335 1466
[5] Ali K M, Dehkhoda P, Mazandaran R M, Hesamedin S H 2010 IEEE Trans. Electromagn. Compat. 52 230
[6] Chen J, Wang J G 2007 IEEE Trans. Electromagn. Compat. 49 354
[7] Dehkhoda P, Tavakoli A, Azadifar M 2012 IEEE Trans. Electromagn. Compat. 54 792
[8] Chen J, Wang J G 2013 IEEE Trans. Electromagn. Compat. 55 1239
[9] Shim J J, Kam D G, Kwon J H, Kim J 2010 IEEE Trans. Electromagn. Compat. 52 566
[10] Jiao C Q, Zhu H Z 2013 Chin. Phys. B 22 084101
[11] Robinson M P, Benson T M, Christopoulos C, Dawson J F, Ganley M D, Marvin A C, Porter S J, Thomas D W P 1998 IEEE Trans. Electromagn. Compat. 40 240
[12] Fan J Q, Hao J H, Qi P H 2014 Acta Phys. Sin. 63 014104 (in Chinese) [范杰清, 郝建红, 柒培华 2014 63 014104]
[13] Wang J G, Liu G Z, Zhou J S 2003 High Power Laser and Particle Beams 15 1093 (in Chinese) [王建国, 刘国治, 周金山 2003 强激光与粒子束 15 1093]
[14] Zhou J S, Liu G Z, Peng P, Wang J G 2004 High Power Laser and Particle Beams 16 88 (in Chinese) [周金山, 刘国治, 彭鹏, 王建国 2004 强激光与粒子束 16 88]
[15] Tait G B, Hager C, Slocum M B, Hatfield M O 2013 IEEE Trans. Electromagn. Compat. 55 231
[16] IEEE Std 299-2006, IEEE standard method for measuring the effectiveness of electromagnetic shielding enclosures
[17] GB/T 12190-2006, Method for measuring the shielding effectiveness of electromagnetic shielding enclosures (in Chinese)[GB/T 12190-2006, 电磁屏蔽室屏蔽效能的测量方法]
[18] Li M, Nuebel J, Drewniak J L, DuBroff R E, Hubing T H, VanDoren T P 2000 IEEE Trans. Electromagn. Compat. 42 29
[19] Li M, Drewniak J L, Radu S, Nuebel J, Hubing T H, DuBroff R E, VanDoren T P 2001 IEEE Trans. Electromagn. Compat. 43 295
[20] Jiao C Q, Qi L 2012 Acta Phys. Sin. 61 134104 (in Chinese) [焦重庆, 齐磊 2012 61 134104]
[21] Bethe H A 1944 Phys. Rev. 66 163
[22] Nitsch J B, Tkachenko S V, Potthast S 2012 IEEE Trans. Electromagn. Compat. 54 1252
[23] Jiao C Q, Niu S 2013 Acta Phys. Sin. 62 114102 (in Chinese) [焦重庆, 牛帅 2013 62 114102]
[24] Rahmat S Y 1975 IEEE Trans. Microw. Theory Techn. 23 762
[25] Robert E Collin 1960 Field Theory of Guided Waves (NewYork: McGraw-Hill) p581
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[1] Henry W O 2009 Electromagnetic Compatibility Engineering (1st ed) (New York: Wiley Interscience)
[2] Zhou B H 2003 EMP and EMP Protection (1st ed) (Beijing: National Defense Industry Press) (in Chinese) [周璧华2003电磁脉冲及其工程防护(北京: 国防工业出版社)]
[3] He J L 2010 Introduction to Electromagnetic Compatibility (Beijing: Science Press) (in Chinese) [何金良2010电磁兼容概论(北京: 科学出版社)]
[4] Gomory F, Solovyov M, Souc J, Navau C, Prat-Camps J, Sanchez A 2012 Science 335 1466
[5] Ali K M, Dehkhoda P, Mazandaran R M, Hesamedin S H 2010 IEEE Trans. Electromagn. Compat. 52 230
[6] Chen J, Wang J G 2007 IEEE Trans. Electromagn. Compat. 49 354
[7] Dehkhoda P, Tavakoli A, Azadifar M 2012 IEEE Trans. Electromagn. Compat. 54 792
[8] Chen J, Wang J G 2013 IEEE Trans. Electromagn. Compat. 55 1239
[9] Shim J J, Kam D G, Kwon J H, Kim J 2010 IEEE Trans. Electromagn. Compat. 52 566
[10] Jiao C Q, Zhu H Z 2013 Chin. Phys. B 22 084101
[11] Robinson M P, Benson T M, Christopoulos C, Dawson J F, Ganley M D, Marvin A C, Porter S J, Thomas D W P 1998 IEEE Trans. Electromagn. Compat. 40 240
[12] Fan J Q, Hao J H, Qi P H 2014 Acta Phys. Sin. 63 014104 (in Chinese) [范杰清, 郝建红, 柒培华 2014 63 014104]
[13] Wang J G, Liu G Z, Zhou J S 2003 High Power Laser and Particle Beams 15 1093 (in Chinese) [王建国, 刘国治, 周金山 2003 强激光与粒子束 15 1093]
[14] Zhou J S, Liu G Z, Peng P, Wang J G 2004 High Power Laser and Particle Beams 16 88 (in Chinese) [周金山, 刘国治, 彭鹏, 王建国 2004 强激光与粒子束 16 88]
[15] Tait G B, Hager C, Slocum M B, Hatfield M O 2013 IEEE Trans. Electromagn. Compat. 55 231
[16] IEEE Std 299-2006, IEEE standard method for measuring the effectiveness of electromagnetic shielding enclosures
[17] GB/T 12190-2006, Method for measuring the shielding effectiveness of electromagnetic shielding enclosures (in Chinese)[GB/T 12190-2006, 电磁屏蔽室屏蔽效能的测量方法]
[18] Li M, Nuebel J, Drewniak J L, DuBroff R E, Hubing T H, VanDoren T P 2000 IEEE Trans. Electromagn. Compat. 42 29
[19] Li M, Drewniak J L, Radu S, Nuebel J, Hubing T H, DuBroff R E, VanDoren T P 2001 IEEE Trans. Electromagn. Compat. 43 295
[20] Jiao C Q, Qi L 2012 Acta Phys. Sin. 61 134104 (in Chinese) [焦重庆, 齐磊 2012 61 134104]
[21] Bethe H A 1944 Phys. Rev. 66 163
[22] Nitsch J B, Tkachenko S V, Potthast S 2012 IEEE Trans. Electromagn. Compat. 54 1252
[23] Jiao C Q, Niu S 2013 Acta Phys. Sin. 62 114102 (in Chinese) [焦重庆, 牛帅 2013 62 114102]
[24] Rahmat S Y 1975 IEEE Trans. Microw. Theory Techn. 23 762
[25] Robert E Collin 1960 Field Theory of Guided Waves (NewYork: McGraw-Hill) p581
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