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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])
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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

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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