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Low-frequency transition radiation of particle bunch on grid screen
Russian version
Simakov E. S.1, Tyukhtin A. V.1
1St. Petersburg State University, St. Petersburg, Russia
Email: e.simakov@spbu.ru
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We analyze electromagnetic radiation of a charged particle bunch passing through a planar grid structure composed of thin conductors. The conductors cross each other, have galvanic contact in the cross points and form square cells whose size is small compared to the lengths of the electromagnetic waves under consideration. It is also assumed that the size of the cell is significantly greater than the transverse size of the conductor. In the considered approximation, the grid structure is described by the averaged boundary conditions of M.I. Kontorovich. With the help of these conditions we obtain a general analytical solution which is then investigated asymptotically by methods of the complex variable function theory. It is shown that the radiation consists only of volume waves. The Fourier-transforms of the electromagnetic field components are obtained, the dependences of the energy characteristics on the bunch properties and geometrical parameters of the structure are analyzed, and a comparison with the case of a solid perfectly conductive plane is given. Keywords: Radiation of charged particles, transition radiation, grid structure, average boundary conditions, charged particle bunch.
  1. V.L. Ginzburg, I.M. Frank. J. Phys. USSR, 9, 353 (1945)
  2. V.L. Ginzburg, V.N. Tsytovich. Perekhodnoe izluchenie i perekhodnoe rasseyanie (Nauka, M., 1984) (in Russian)
  3. G.M. Garibyan, Yan Shi. Rentgenovskoe perekhodnoe izluchenie (Akad. Nauk Arm. SSR, Erevan, 1983) (in Russian)
  4. M.P. Lorikyan. Sov. Phys. JETP, 38 (4), 661 (1974)
  5. C.W. Fabjan, H.G. Fischer. Rep. Prog. Phys., 43 (8), 1003 (1980). DOI: 10.1088/0034-4885/43/8/002
  6. B. Dolgoshein. Nucl. Instrum. Methods Phys. Res. A, 326 (3), 434 (1993). DOI: 10.1016/0168-9002(93)90846-A
  7. D.W. Rule, R.B. Fiorito. AIP Conf. Proc., 229, 315 (1991). DOI: 10.1063/1.40754
  8. M. Castellano, M. Ferrario, S. Kulinski, M. Minestrini, P. Patteri, F. Tazzioli, L. Catani, L. Gregorini, S. Tazzari. Nucl. Instrum. Methods Phys. Res. A, 357 (2-3), 231 (1995). DOI: 10.1016/0168-9002(94)01533-3
  9. A.N. Aleinik, O.V. Chefonov, B.N. Kalinin, G.A. Naumenko, A.P. Potylitsyn, G.A. Saruev, A.F. Sharafutdinov, W. Wagner. Nucl. Instrum. Methods Phys. Res. B, 201 (1), 34 (2003). DOI: 10.1016/S0168-583X(02)01745-7
  10. E.I. Nefedov, A.N. Sivov. Elektrodinamika periodicheskikh struktur (Nauka, M., 1977) (in Russian)
  11. E.S. Simakov, A.V. Tyukhtin. J. Instrum., 15, C05047 (2020). DOI: 10.1088/1748-0221/15/05/C05047
  12. E.S. Simakov, A.V. Tyukhtin. Nucl. Instrum. Methods Phys. Res. A, 1045, 167640 (2023). DOI: 10.1016/j.nima.2022.167640
  13. K.A. Barsukov, L.G. Naryshkina. Sov. Radiophys., 8 (5), 667 (1965). DOI: 10.1007/BF01038826
  14. K.A. Barsukov, S.Kh. Bekova. Uch. Zap. Mosk. Gos. Pedagog. Inst., 313, 25 (1968) (in Russian)
  15. V.N. Krasilnikov, A.V. Tyukhtin. Radiophys. Quantum Electron, 33, 945 (1990). DOI: 10.1007/BF01039238
  16. A.V. Tyukhtin, V.V. Vorobev, S.N. Galyamin. Phys. Rev. ST Accel. Beams, 17 (12), 122802 (2014). DOI: 10.1103/PhysRevSTAB.17.122802
  17. A.V. Tyukhtin, V.V. Vorobev, S.N. Galyamin. Phys. Rev. E, 91 (6), 063202 (2015). DOI: 10.1103/PhysRevE.91.063202
  18. M.I. Kontorovich. Radiotekh. Elektron. 8, 1506 (1963) (in Russian)
  19. M.I. Kontorovich, M.I. Astrakhan, V.P. Akimov, G.A. Fersman. Elektrodinamika setchatykh struktur (Radio i Svyaz', M., 1987) (in Russian)
  20. V. Bobrinev, V. Braginskii. Dokl. Akad. Nauk SSSR, 123 (4), 634 (1958) (in Russian)
  21. Yu.N. Dnestrovskii, D.P. Kostomarov. Dokl. Akad. Nauk SSSR, 124 (4), 792 (1959) (in Russian)
  22. E. Gschwendtner, E. Adli, L. Amorim, R. Apsimon, R. Assmann, A.-M. Bachmann, F. Batsch, J. Bauche, V.K. Berglyd Olsen, M. Bernardini, R. Bingham, B. Biskup, T. Bohl, C. Bracco, P.N. Burrows, G. Burt, B. Buttenschon, A. Butterworth, A. Caldwell, M. Cascella, E. Chevallay, S. Cipiccia, H. Damerau, L. Deacon, P. Dirksen, S. Doebert, U. Dorda, J. Farmer, V. Fedosseev, E. Feldbaumer, R. Fiorito, R. Fonseca, F. Friebel, A.A. Gorn, O. Grulke, J. Hansen, C. Hessler, W. Hofle, J. Holloway, M. Huther, D. Jaroszynski, L. Jensen, S. Jolly, A. Joulaei, M. Kasim, F. Keeble, Y. Li, S. Liu, N. Lopes, K.V. Lotov, S. Mandry, R. Martorelli, M. Martyanov, S. Mazzoni, O. Mete, V.A. Minakov, J. Mitchell, J. Moody, P. Muggli, Z. Najmudin, P. Norreys, E. Oz, A. Pardons, K. Pepitone, A. Petrenko, G. Plyushchev, A. Pukhov, K. Rieger, H. Ruhl, F. Salveter, N. Savard, J. Schmidt, A. Seryi, E. Shaposhnikova, Z.M. Sheng, P. Sherwood, L. Silva, L. Soby, A.P. Sosedkin, R.I. Spitsyn, R. Trines, P.V. Tuev, M. Turner, V. Verzilov, J. Vieira, H. Vincke, Y. Wei, C.P. Welsch, M. Wing, G. Xia, H. Zhang. Nucl. Instrum. Methods Phys. Res. A, 829, 76 (2016). DOI: 10.1016/j.nima.2016.02.026
  23. E. Adli, A. Ahuja, O. Apsimon, R. Apsimon, A.-M. Bachmann, D. Barrientos, F. Batsch, J. Bauche, V.K. Berglyd Olsen, M. Bernardini, T. Bohl, C. Bracco, F. Braunmuller, G. Burt, B. Buttenschon, A. Caldwell, M. Cascella, J. Chappell, E. Chevallay, M. Chung, D. Cooke, H. Damerau, L. Deacon, L.H. Deubner, A. Dexter, S. Doebert, J. Farmer, V.N. Fedosseev, R. Fiorito, R.A. Fonseca, F. Friebel, L. Garolfi, S. Gessner, I. Gorgisyan, A.A. Gorn, E. Granados, O. Grulke, E. Gschwendtner, J. Hansen, A. Helm, J.R. Henderson, M. Huther, M. Ibison, L. Jensen, S. Jolly, F. Keeble, S.-Y. Kim, F. Kraus, Y. Li, S. Liu, N. Lopes, K.V. Lotov, L. Maricalva Brun, M. Martyanov, S. Mazzoni, D. Medina Godoy, V.A. Minakov, J. Mitchell, J.C. Molendijk, J.T. Moody, M. Moreira, P. Muggli, E. Oz, C. Pasquino, A. Pardons, F. Pena Asmus, K. Pepitone, A. Perera, A. Petrenko, S. Pitman, A. Pukhov, S. Rey, K. Rieger, H. Ruhl, J.S. Schmidt, I.A. Shalimova, P. Sherwood, L.O. Silva, L. Soby, A.P. Sosedkin, R. Speroni, R.I. Spitsyn, P.V. Tuev, M. Turner, F. Velotti, L. Verra, V.A. Verzilov, J. Vieira, C.P. Welsch, B. Williamson, M. Wing, B. Woolley, G. Xia. Nature, 561, 363 (2018). DOI: 10.1038/s41586-018-0485-4
  24. E. Adli, A. Ahuja, O. Apsimon, R. Apsimon, A.-M. Bachmann, D. Barrientos, M.M. Barros, J. Batkiewicz, F. Batsch, J. Bauche, V.K. Berglyd Olsen, M. Bernardini, B. Biskup, A. Boccardi, T. Bogey, T. Bohl, C. Bracco, F. Braunmuller, S. Burger, G. Burt, S. Bustamante, B. Buttenschon, A. Caldwell, M. Cascella, J. Chappell, E. Chevallay, M. Chung, D. Cooke, H. Damerau, L. Deacon, L.H. Deubner, A. Dexter, S. Doebert, J. Farmer, V.N. Fedosseev, G. Fior, R. Fiorito, R.A. Fonseca, F. Friebel, L. Garolfi, S. Gessner, I. Gorgisyan, A.A. Gorn, E. Granados, O. Grulke, E. Gschwendtner, A. Guerrero, J. Hansen, A. Helm, J.R. Henderson, C. Hessler, W. Hofle, M. Huther, M. Ibison, L. Jensen, S. Jolly, F. Keeble, S.-Y. Kim, F. Kraus, T. Lefevre, G. LeGodec, Y. Li, S. Liu, N. Lopes, K.V. Lotov, L. Maricalva Brun, M. Martyanov, S. Mazzoni, D. Medina Godoy, V.A. Minakov, J. Mitchell, J.C. Molendijk, R. Mompo, J.T. Moody, M. Moreira, P. Muggli, C. Mutin, E. Oz, E. Ozturk, C. Pasquino, A. Pardons, F. Pena Asmus, K. Pepitone, A. Perera, A. Petrenko, S. Pitman, G. Plyushchev, A. Pukhov, S. Rey, K. Rieger, H. Ruhl, J.S. Schmidt, I.A. Shalimova, E. Shaposhnikova, P. Sherwood, L.O. Silva, L. Soby, A.P. Sosedkin, R. Speroni, R.I. Spitsyn, P.V. Tuev, M. Turner, F. Velotti, L. Verra, V.A. Verzilov, J. Vieira, H. Vincke, C.P. Welsch, B. Williamson, M. Wing, B. Woolley, G. Xia. Phys. Rev. Lett., 122 (5), 054802 (2019). DOI: 10.1103/PhysRevLett.122.054802
  25. A.P. Prudnikov, Yu.A. Brychkov, O.I. Marichev. Integraly i ryady. Spetsial'nye funktsii (Nauka, M., 1983) (in Russian)
  26. L.B. Felsen, N. Marcuvitz. Radiation and scattering of waves (Prentice-Hall, New Jersey, 1973)
  27. G. Korn, T. Korn. Mathematical handbook for scientists and engineers (McGraw Hill, NY., 1968)
  28. B.M. Bolotovskii, A.V. Serov. Tech. Phys., 47 (1), 1 (2002). DOI: 10.1134/1.1435882
  29. G. Doucas, M.F. Kimmitt, A. Doria, G.P. Gallerano, E. Giovenale, G. Messina, H.L. Andrews, J.H. Brownell. Phys. Rev. ST Accel. Beams, 5 (7), 072802 (2002). DOI: 10.1103/PhysRevSTAB.5.072802
  30. V. Blackmore, G. Doucas, C. Perry, B. Ottewell, M.F. Kimmitt, M. Woods, S. Molloy, R. Arnold. Phys. Rev. ST Accel. Beams, 12 (3), 032803 (2009). DOI: 10.1103/PhysRevSTAB.12.032803
  31. A.N. Aleinik, A.S. Aryshev, B.N. Kalinin, G.A. Naumenko, A.P. Potylitsyn, G.A. Saruev, A.F. Sharafutdinov, O.Yu. Malakhovskii, E.A. Monastyrev. JEPT Lett., 76, 337 (2002). DOI: 10.1134/1.1525032
  32. B.N. Kalinin, G.A. Naumenko, A.P. Potylitsyn, G.A. Saruev, L.G. Sukhikh, V.A. Cha. JEPT Lett., 84, 110 (2006). DOI: 10.1134/S0021364006150021

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