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Based on the mode-matching method, an analytical model with full-wave coupling is presented for the coaxial Bragg structures corrugated with rectangular ripples, where the expressions of the reflectivity and transmission rate for each involved mode are derived. The validity of the analytical model is examined in terms of a reported experiment, and good agreement between the theoretical results and the experimental measurements is demonstrated. Comparative study is carried out between the present model and the published theoretical results. It is found that the approximate treatment adopted by the previous model leads to notable deviation of the transmission response curve due to the neglect of the evanescent modes excited by rectangular ripples. The analytical method presented in this paper can be expected to provide a useful approach to the characteristic investigation and engineering practice of the coaxial Bragg structures with rectangular ripples.
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Keywords:
- coaxial Bragg structure /
- rectangular ripples /
- mode-matching method /
- mode coupling
[1] Lu L Y, Li F, Xu M, Wang T, Wu J Y, Zhou L J, Su Y K 2012 IEEE Photon. Tech. Lett. 24 1765
[2] Ginzburg N S, Peskov N Y, Sergeev A S, Zaslavsky V Y, Arzhannikov A V, Kalinin P V, Sinitsky S L, Thumm M 2012 J. Appl. Phys. 112 114504
[3] Wagner D, Kasparek W, Leuterer F, Monaco F, Munich M, Schutz H, Stange T, Stober J, Thumm M 2011 J. Infrared Millim. Terahz. Waves 32 1424
[4] Du C H, Liu P K, Xue Q Z 2010 Chin. Phys. B 19 048703
[5] Gao R M, Wu B, Zhang H, Zhu L D, Guo P, Chang S J, Wang Q 2009 Acta Phys. Sin. 58 1838 (in Chinese) [高润梅, 吴犇, 张会, 朱良栋, 郭澎,常胜江, 王倩 2009 58 1838]
[6] Huang M, Wu J, Cui H Y, Qian J Q, Ning Y Q 2012 Chin. Phys. B 21 104207
[7] Jin J, Lin S, Song N F 2012 Chin. Phys. B 21 064221
[8] Thumm M, Kasparek W, Wagner D, Wien A 2013 IEEE Trans. Antenn. Propag. 61 2449
[9] Liu Y G, Che F L, Jia Z A, Fu H W, Wang H L, Shao M 2013 Acta Phys. Sin. 62 104218 (in Chinese) [刘颖刚, 车伏龙, 贾振安, 傅海威, 王宏亮, 邵敏 2013 62 104218]
[10] Denisov G G, Lukovnikov D A, Samsonov S V 1995 Int. J. Infrared Millim. Waves 16 745
[11] Ginzburg N S, Kaminsky A A, Kaminsky A K, Peskov N Y, Sedykh S N, Sergeev A P, Sergeev A S 2000 Phys. Rev. Lett. 84 3574
[12] Chong C K, McDermott D B, Razeghi M M, Luhmann N C, Pretterebner J, Wagner D, Thumm M, Caplan M, Kulke B 1992 IEEE Trans. Plasma Sci. 20 393
[13] Konoplev I V, McGrane P, Cross A W, Ronald K, Phelps A D R 2005 J. Appl. Phys. 97 073101
[14] Konoplev I V, McGrane P, Cross A W, Ronald K 2005 Appl. Phys. Lett. 87 121104
[15] Chen X H, Zhang S C, Lai Y X 2008 Int. J. Infrared Millim. Waves 29 552
[16] Ding X Y, Zhang S C 2009 J. Phys. D: Appl. Phys. 42 085104
[17] Lai Y X, Zhang S C 2007 Phys. Plasmas 14 113301
[18] Zhang Y, Zhang S C, Zhang H B, Xin Q, Kong Y Y, Chai B 2010 J. Infrared Millim. Terahz. Waves 31 1126
[19] Xin Q, Zhang S C, Zhang H B, Kong Y Y, Chai B, Zhang Y 2010 J. Infrared Millim. Terahz. Waves 31 1278
[20] Lan F, Yang Z Q, Shi Z J 2011 Acta Phys. Sin. 60 091101 (in Chinese) [兰峰, 杨梓强, 史宗君 2011 60 091101]
[21] Lai Y X, Tan Y M 2012 J. Electron. Info. Tech. 34 2023 (in Chinese) [赖颖昕, 谭永明 2012 电子与信息学报 34 2023]
[22] Arndt F, Bornermann J, Vahldieck R, Grauerholz D 1984 IEEE Trans. Microwave Theory Tech. MTT-32 1391
[23] Neilson J M, Latham P E, Caplan M, Lawson W 1989 IEEE Trans. Microwave Theory Tech. MTT-37 1165
[24] Liu Y H, Li H F, Li H, Wang E F, Xu Y, Wang H, Wang L 2006 Acta Phys. Sin. 55 1718 (in Chinese) [刘迎辉, 李宏福, 李浩, 王峨锋, 徐勇, 王晖, 王丽 2006 55 1718]
[25] Luo Y, Li H F, Xie Z L, Yu S, Deng X, Zhao Q, Xu Y 2004 Acta Phys. Sin. 53 229 (in Chinese) [罗勇, 李宏福, 谢仲怜, 喻胜, 邓学, 赵青, 徐勇 2004 53 229]
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[1] Lu L Y, Li F, Xu M, Wang T, Wu J Y, Zhou L J, Su Y K 2012 IEEE Photon. Tech. Lett. 24 1765
[2] Ginzburg N S, Peskov N Y, Sergeev A S, Zaslavsky V Y, Arzhannikov A V, Kalinin P V, Sinitsky S L, Thumm M 2012 J. Appl. Phys. 112 114504
[3] Wagner D, Kasparek W, Leuterer F, Monaco F, Munich M, Schutz H, Stange T, Stober J, Thumm M 2011 J. Infrared Millim. Terahz. Waves 32 1424
[4] Du C H, Liu P K, Xue Q Z 2010 Chin. Phys. B 19 048703
[5] Gao R M, Wu B, Zhang H, Zhu L D, Guo P, Chang S J, Wang Q 2009 Acta Phys. Sin. 58 1838 (in Chinese) [高润梅, 吴犇, 张会, 朱良栋, 郭澎,常胜江, 王倩 2009 58 1838]
[6] Huang M, Wu J, Cui H Y, Qian J Q, Ning Y Q 2012 Chin. Phys. B 21 104207
[7] Jin J, Lin S, Song N F 2012 Chin. Phys. B 21 064221
[8] Thumm M, Kasparek W, Wagner D, Wien A 2013 IEEE Trans. Antenn. Propag. 61 2449
[9] Liu Y G, Che F L, Jia Z A, Fu H W, Wang H L, Shao M 2013 Acta Phys. Sin. 62 104218 (in Chinese) [刘颖刚, 车伏龙, 贾振安, 傅海威, 王宏亮, 邵敏 2013 62 104218]
[10] Denisov G G, Lukovnikov D A, Samsonov S V 1995 Int. J. Infrared Millim. Waves 16 745
[11] Ginzburg N S, Kaminsky A A, Kaminsky A K, Peskov N Y, Sedykh S N, Sergeev A P, Sergeev A S 2000 Phys. Rev. Lett. 84 3574
[12] Chong C K, McDermott D B, Razeghi M M, Luhmann N C, Pretterebner J, Wagner D, Thumm M, Caplan M, Kulke B 1992 IEEE Trans. Plasma Sci. 20 393
[13] Konoplev I V, McGrane P, Cross A W, Ronald K, Phelps A D R 2005 J. Appl. Phys. 97 073101
[14] Konoplev I V, McGrane P, Cross A W, Ronald K 2005 Appl. Phys. Lett. 87 121104
[15] Chen X H, Zhang S C, Lai Y X 2008 Int. J. Infrared Millim. Waves 29 552
[16] Ding X Y, Zhang S C 2009 J. Phys. D: Appl. Phys. 42 085104
[17] Lai Y X, Zhang S C 2007 Phys. Plasmas 14 113301
[18] Zhang Y, Zhang S C, Zhang H B, Xin Q, Kong Y Y, Chai B 2010 J. Infrared Millim. Terahz. Waves 31 1126
[19] Xin Q, Zhang S C, Zhang H B, Kong Y Y, Chai B, Zhang Y 2010 J. Infrared Millim. Terahz. Waves 31 1278
[20] Lan F, Yang Z Q, Shi Z J 2011 Acta Phys. Sin. 60 091101 (in Chinese) [兰峰, 杨梓强, 史宗君 2011 60 091101]
[21] Lai Y X, Tan Y M 2012 J. Electron. Info. Tech. 34 2023 (in Chinese) [赖颖昕, 谭永明 2012 电子与信息学报 34 2023]
[22] Arndt F, Bornermann J, Vahldieck R, Grauerholz D 1984 IEEE Trans. Microwave Theory Tech. MTT-32 1391
[23] Neilson J M, Latham P E, Caplan M, Lawson W 1989 IEEE Trans. Microwave Theory Tech. MTT-37 1165
[24] Liu Y H, Li H F, Li H, Wang E F, Xu Y, Wang H, Wang L 2006 Acta Phys. Sin. 55 1718 (in Chinese) [刘迎辉, 李宏福, 李浩, 王峨锋, 徐勇, 王晖, 王丽 2006 55 1718]
[25] Luo Y, Li H F, Xie Z L, Yu S, Deng X, Zhao Q, Xu Y 2004 Acta Phys. Sin. 53 229 (in Chinese) [罗勇, 李宏福, 谢仲怜, 喻胜, 邓学, 赵青, 徐勇 2004 53 229]
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