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Large planar plasma sheets, generated by a linear hollow cathode in pulse discharge mode under magnetic confinement, can be used in the field of plasma antenna, plasma stealth, and simulation of a plasma layer surrounding vehicles traveling at hypersonic velocities within the Earth's atmosphere. Firstly, to investigate the propagation properties of electromagnetic waves at different frequencies and polarization, the transverse field transfer matrix method is introduced. Secondly, the measured electron density temporal and spatial distribution and the transverse field transfer matrix method are utilized to calculate the reflection, transmission and absorption of electromagnetic waves by large planar plasma sheets with different currents. Finally, 1 GHz (less than the critical cut-off frequency) electromagnetic waves and 4 GHz (greater than the critical frequency) electromagnetic waves are chosen to investigate the evolution of propagation properties during the pulsed discharge period. Results show that both the reflection and absorption of the electromagnetic waves are greater for their polarization direction parallel to that of magnetic field, and their frequencies lower than the critical cut-off frequency, and as the discharge currents rise, the reflection increases while the absorption decreases. However both the reflection and absorption of the electromagnetic waves with their polarization direction perpendicular to the magnetic field direction and their frequency greater than the critical cut-off frequency become less, and as the discharge currents rise, both the reflection and absorption will increase. For the electromagnetic waves with their polarization direction perpendicular to the magnetic field direction, there is an upper hybrid resonance absorption band near the upper hybrid resonance frequencies, in which the absorption is significant but the absorption peak value is not affected by the discharge current. The propagation characteristics of the electromagnetic waves with polarization direction perpendicular to the magnetic field direction are the same as that of the electromagnetic waves with the polarization direction parallel to the magnetic field direction, except the upper hybrid resonance absorption. During the pulse discharge period, the propagation characteristic of the electromagnetic waves experiences an unstable phase before reaching steady states. The transition time is about 100 s and increases as the discharge current rises. The upper hybrid resonance absorption is significant during the phase of steady state for waves with frequency lower than the critical cut-off frequency and polarization direction parallel to the magnetic field direction. For the applications of a large planar plasma sheet to reflect electromagnetic waves effectively and steadily, the pulse discharge period should be larger than 100 s, and its discharge current should be large enough to make the critical cut-off frequency greater than the frequency of incident wave, and its polarization direction should be parallel to the magnetic field direction.
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Keywords:
- linear hollow cathode /
- magnetized plasma sheet /
- electron density distribution /
- transverse field transfer matrix method
[1] Caillault L, Larigaldie S 2002 J. Phys. D: Appl. Phys. 35 1010
[2] Mathew J, Fernsler R F, Meger R A, Gregor J A, Murphy D P, Pechacek R E, Manheimer W M 1996 Phys. Rev. Lett. 77 1982
[3] Manheimer W M 1991 IEEE Trans. Plasma Sci. 19 1228
[4] Fernsler R F, Manheimer W M, Meger R A, Mathew J, Murphy D P, Pechacek R E, Gregor J A 1998 Phys. Plasmas 5 2137
[5] Manheimer W M, Fernsler R F, Gitlin M S 1998 IEEE Trans. Plasma Sci. 26 1543
[6] Gillman E D, Amatucci W E 2014 Phys. Plasmas 21 060701
[7] Zhuang Z W, Yuan N C, Liu S B, Me J J 2005 Plasma Stealth Technology (Beijing: Science Press) p46 (in Chinese) [庄钊文, 袁乃昌, 刘少斌, 莫锦军 2005 等离子体隐身技术(北京: 科学出版社)第46页]
[8] Larigaldie S, Caillault L 2000 J. Phys. D: Appl. Phys. 33 3190
[9] Cheng Z F, Ding L, Xu Y M, Liang C, Jian F S 2009 Chin. J. Radio Sci. 24 1137 (in Chinese) [程芝峰, 丁亮, 徐跃民, 梁超, 鉴福升 2009 电波科学学报 24 1137]
[10] Cheng Z F, Xu Y M, Liang C, Ding L, Jian F S, Zhu X 2010 Chin. J. Radio Sci. 24 1137 (in Chinese) [程芝峰, 徐跃民, 梁超, 丁亮, 鉴福升, 朱翔 2010 电波科学学报 24 1137]
[11] Ding L, Huo W Q, Yang X J, Xu Y M 2012 Plasma Sci. Technol. 14 9
[12] Huo W Q, Guo S J, Ding L, Xu Y M 2013 Plasma Sci. Technol. 15 979
[13] Negi J G, Singh R N 1968 Pure Appl. Geophys. 70 74
[14] Rokhlin S I, Wang L 2002 J. Acoust. Soc. Am. 112 822
[15] Zheng H X, Ge D B 2000 Acta Phys. Sin. 49 1702(in Chinese) [郑宏兴, 葛德彪 2000 49 1702]
[16] Yin X, Zhang H, Sun S J, Zhao Z W, Hu Y L 2013 Prog. Electromagn. Res. 137 159
[17] Mathew J, Meger R A, Fernsler R F, Gregor J A 1996 Rev. Sci. Instrum. 67 2818
[18] Leonhardt D, Walton S G, Blackwell D D, Amatucci W E, Murphy D P, Fersnelr R F, Meger R A 2001 J. Vac. Sci. Technol. A 19 1367
[19] Blackwell D D, Walton S G, Leonhardt D, Murphy D P, Fernsler R F, Amatucci W E, Meger R A 2001 J. Vac. Sci. Technol. A 19 1330
[20] Zhang L, Zhang H X, Yang X Z, Feng C H, Qiao B, Wang L 2003 Chin. Phys. Lett. 20 1984
[21] Lock E H, Fernsler R F, Walton S G 2008 Plasma Sources Sci. Technol. 17 025009
[22] Wan J, Jia X L, Yang J H, Wang S G 2010 IEEE Trans. Plasma Sci. 38 2006
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[1] Caillault L, Larigaldie S 2002 J. Phys. D: Appl. Phys. 35 1010
[2] Mathew J, Fernsler R F, Meger R A, Gregor J A, Murphy D P, Pechacek R E, Manheimer W M 1996 Phys. Rev. Lett. 77 1982
[3] Manheimer W M 1991 IEEE Trans. Plasma Sci. 19 1228
[4] Fernsler R F, Manheimer W M, Meger R A, Mathew J, Murphy D P, Pechacek R E, Gregor J A 1998 Phys. Plasmas 5 2137
[5] Manheimer W M, Fernsler R F, Gitlin M S 1998 IEEE Trans. Plasma Sci. 26 1543
[6] Gillman E D, Amatucci W E 2014 Phys. Plasmas 21 060701
[7] Zhuang Z W, Yuan N C, Liu S B, Me J J 2005 Plasma Stealth Technology (Beijing: Science Press) p46 (in Chinese) [庄钊文, 袁乃昌, 刘少斌, 莫锦军 2005 等离子体隐身技术(北京: 科学出版社)第46页]
[8] Larigaldie S, Caillault L 2000 J. Phys. D: Appl. Phys. 33 3190
[9] Cheng Z F, Ding L, Xu Y M, Liang C, Jian F S 2009 Chin. J. Radio Sci. 24 1137 (in Chinese) [程芝峰, 丁亮, 徐跃民, 梁超, 鉴福升 2009 电波科学学报 24 1137]
[10] Cheng Z F, Xu Y M, Liang C, Ding L, Jian F S, Zhu X 2010 Chin. J. Radio Sci. 24 1137 (in Chinese) [程芝峰, 徐跃民, 梁超, 丁亮, 鉴福升, 朱翔 2010 电波科学学报 24 1137]
[11] Ding L, Huo W Q, Yang X J, Xu Y M 2012 Plasma Sci. Technol. 14 9
[12] Huo W Q, Guo S J, Ding L, Xu Y M 2013 Plasma Sci. Technol. 15 979
[13] Negi J G, Singh R N 1968 Pure Appl. Geophys. 70 74
[14] Rokhlin S I, Wang L 2002 J. Acoust. Soc. Am. 112 822
[15] Zheng H X, Ge D B 2000 Acta Phys. Sin. 49 1702(in Chinese) [郑宏兴, 葛德彪 2000 49 1702]
[16] Yin X, Zhang H, Sun S J, Zhao Z W, Hu Y L 2013 Prog. Electromagn. Res. 137 159
[17] Mathew J, Meger R A, Fernsler R F, Gregor J A 1996 Rev. Sci. Instrum. 67 2818
[18] Leonhardt D, Walton S G, Blackwell D D, Amatucci W E, Murphy D P, Fersnelr R F, Meger R A 2001 J. Vac. Sci. Technol. A 19 1367
[19] Blackwell D D, Walton S G, Leonhardt D, Murphy D P, Fernsler R F, Amatucci W E, Meger R A 2001 J. Vac. Sci. Technol. A 19 1330
[20] Zhang L, Zhang H X, Yang X Z, Feng C H, Qiao B, Wang L 2003 Chin. Phys. Lett. 20 1984
[21] Lock E H, Fernsler R F, Walton S G 2008 Plasma Sources Sci. Technol. 17 025009
[22] Wan J, Jia X L, Yang J H, Wang S G 2010 IEEE Trans. Plasma Sci. 38 2006
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