Hostname: page-component-745bb68f8f-b6zl4 Total loading time: 0 Render date: 2025-01-10T07:04:16.920Z Has data issue: false hasContentIssue false
  • English
  • Français

Quantum statistical properties of free-electron laser with ion-channel guiding

Published online by Cambridge University Press:  12 April 2012

H. MEHDIAN ,
M. ALIMOHAMADI  and
A. HASANBEIGI
H. MEHDIAN
Affiliation:
Department of Physics and Institute for Plasma Research, Tarbiat Moallem University, 49 Dr Mofatteh Avenue, Tehran 15614, Iran ([email protected], [email protected], [email protected])
M. ALIMOHAMADI
Affiliation:
Department of Physics and Institute for Plasma Research, Tarbiat Moallem University, 49 Dr Mofatteh Avenue, Tehran 15614, Iran ([email protected], [email protected], [email protected])
A. HASANBEIGI
Affiliation:
Department of Physics and Institute for Plasma Research, Tarbiat Moallem University, 49 Dr Mofatteh Avenue, Tehran 15614, Iran ([email protected], [email protected], [email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

The operation of the quantum free-electron lasers (QFELs) with a helical wiggler and in the presence of ion-channel guiding is considered. The quantum Hamiltonian of single particle has been derived in the Bambini-Renieri (BR) frame. Time dependent wave function and three constants of motion are obtained. The Raman-Nath equation (RNE) and its approximation solution have been calculated, and then the resulted solution has been employed to obtain the quantum gain, photon statistics parameter and squeezing parameter. A quantum approach has been used to get quantum statistical properties of the FEL and the photon gain formula for the small signal gain limit. It is found that the ion-channel guiding decreases the squeezing. Also, the conditions for positive (bunching) and negative (antibunching) gain have been studied numerically.

Type
Papers
Information
Journal of Plasma Physics , Volume 78 , Issue 5 , October 2012 , pp. 537 - 544
Copyright
Copyright © Cambridge University Press 2012

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1]Jha, P. and Kumar, P. 1996 IEEE Trans. Plasma Sci. 24, 1359.CrossRefGoogle Scholar
[2]Stenflo, L. 1976 Phys. Scr. 14, 230.CrossRefGoogle Scholar
[3]Alimohamadi, M., Mehdian, H. and Hasanbeigi, A. 2011 Phys. Scr. 83, 035401.CrossRefGoogle Scholar
[4]Mehdian, H., Hasanbeigi, A. and Jafari, S. 2010 Phys. Plasmas 17, 023112.CrossRefGoogle Scholar
[5]Freund, H. P. and Antonsen, J. M. 1996 Principles of Free Electron Lasers. London: Chapman and Hall.Google Scholar
[6]Robb, G. R. M. 2008 Nucl. Instr. Meth. A 593, 87.CrossRefGoogle Scholar
[7]Bonifaco, R., Robb, G. R. M. and Piovella, N. 2011 Opt. Commun. 284, 1004.CrossRefGoogle Scholar
[8]Piovella, N., Cola, M. M., Volpe, L., Gaiba, R., Schiavi, A. and Bonifaco, R. 2007 Opt. Commun. 274, 347.CrossRefGoogle Scholar
[9]Gou, S. K. 1992 Phys. Rev. A. 46, 1140.Google Scholar
[10]Cheng, Y. and Chen, J. 1996 J. Mod. Optics. 43, 565.CrossRefGoogle Scholar
[11]Serbeto, A., Mendona, J. T., Tsui, K. H. and Bonifacio, R. 2008 Phys. Plasma 15, 013110.CrossRefGoogle Scholar
[12]Shukla, P. K. 2009 Nat. Phys. 5, 92.CrossRefGoogle Scholar
[13]Quiney, H. M. and Nugent, K. A. 2010 Nat. Phys. 7, 142.CrossRefGoogle Scholar
[14]Colson, W. B. 1977 Free electron laser theory, PhD dissertation, Stanford University, CA.Google Scholar
[15]Bosco, P., Colson, W. B. and Freedman, R. A. 1988 IEEE J. Quantum Electron. QE-19, 272.CrossRefGoogle Scholar
[16]Bambini, A. and Renieri, A. 1978 Lett. Nuovo Cimento 21, 399.CrossRefGoogle Scholar
[17]Bambini, A. and Stenholm, S. 1979 Opt.Commun. 30, 391.CrossRefGoogle Scholar
[18]Bonifaco, R. and Scully, M. O. 1980 Opt.Commun. 32, 291.CrossRefGoogle Scholar
[19]Stenholm, S. and Bambini, A. 1981 IEEE J. Quantum Electronic. QE-17, 1363.CrossRefGoogle Scholar
[20]Becker, W. and McIver, J. K. 1983 Phys. Rev. A, 28, 1838.CrossRefGoogle Scholar
[21]Becker, W. and McIver, J. K. 1983 J. Phys. 44, 289.Google Scholar
[22]Becker, W. and McIver, J. K. 1983 Phys. Rev. A, 27, 1030.CrossRefGoogle Scholar
[23]Dattoli, G., Gallardo, J., Renieri, A. and Richatta, M. 1985 IEEE J. Quantum Electron. QE-21, 1609.CrossRefGoogle Scholar
[24]Orszag, M. and Ramirez, R. 1986 J. Opt. Soc. Am. B3, 895.CrossRefGoogle Scholar
[25]Dattoli, G., Gallardo, J. and Torre, A. 1986 J. Opt. Soc. Am. B 3, 65.CrossRefGoogle Scholar
[26]Ciocci, F., Dattoli, G., Renieri, A. and Torre, A. 1986, Phys. Rep. 141, 1.CrossRefGoogle Scholar
[27]Rai, S., Rai, J. and Chopra, S. 1987 Phys. Rev. A, 35, 2957.CrossRefGoogle Scholar
[28]Becker, W. and McIver, J. K. 1987 Phys. Rep. 154, 205.CrossRefGoogle Scholar
[29]Bosco, P., Gallardo, J. and Dattoli, G. 1984 J. Phys. A: Maths. Gen. 2739.CrossRefGoogle Scholar
[30]Madey, J. M. J. 1971 J. Appl. Phys. 42, 1906.CrossRefGoogle Scholar
[31]Raman, C. W. and Nath, N. S. 1937 Proc. Ind. Acad. Sci. 2, 406.CrossRefGoogle Scholar
[32]Takayama, K. and Hiramatsu, S. 1988 Phys. Rev. A, 37, 173.CrossRefGoogle Scholar
[33]Seo, Y., Tripathi, V. K. and Liu, E. S. 1989 Phys. Fluids B 1, 221.CrossRefGoogle Scholar
[34]Caporaso, G. J., Rainer, F., Martin, W. E., Prono, D. S. and Cole, A. G. 1986 Phys. Rev. Lett. 57, 1591.CrossRefGoogle Scholar
[35]Whittum, D. H., Sesseler, A. M. and Dawson, J. M. 1990 Phys. Rev. Lett. 64, 2511.CrossRefGoogle Scholar
[36]Whittum, D. H. 1990 Theory of the ion-channel laser, PhD dissertation, University of California at Berekly.CrossRefGoogle Scholar
[37]Lal, S., Kumar, P. and Jha, P. 2003 Phys. Plasmas 10, 3012.CrossRefGoogle Scholar
[38]Jha, P. and Kumar, P. 1998 Phys. Rev. E, 57, 2256.CrossRefGoogle Scholar
[39]Vetrovec, J. 1991 IEEE Proceeding PAC, 2730.Google Scholar
[40]Chen, K. R., Dawson, J. M., Lin, A. T. and Katsouleas, T. 1991 Phys. Fluids B 3, 1270.CrossRefGoogle Scholar
[41]Chen, K. R., Katsouleas, T. and Dawson, J. M. 1990 IEEE Trans. Plasma Sci. 18, 837.CrossRefGoogle Scholar
[42]Liu, P. and Yang, Z. 1992 Int. J. Infrared Millim. Waves, 13, 887.CrossRefGoogle Scholar
[43]Raghavi, A., Den Ninno, G. and Mehdian, H. 2008 Nucl. Instrum. Methods Phys. Res. A 591, 338.CrossRefGoogle Scholar
[44]Jha, P., Kumar, P. and Pande, K. 1999 IEEE Trans. Plasma Sci. 27, 637.CrossRefGoogle Scholar
[45]Dattoli, G., Gallardo, J. and Torre, A. 1985 Lett. Nuovo Cimento, 42, 163.CrossRefGoogle Scholar