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Chin. Phys. B, 2010, Vol. 19(2): 024208    DOI: 10.1088/1674-1056/19/2/024208
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Quantization of electromagnetic field in quadratic continuous nonlinear absorptive dielectrics

Li Wei(李维), Liu Shi-Bing(刘世炳), Yu Cheng-Xin(于承新), and Yang Wei(杨巍)
Institute of Laser Engineering, Beijng University of Technology, Beijing 100124, China
Abstract  This paper reports that in the quantization of electromagnetic field in the dielectrics, the wave equation with regard to the Green function is analytically solved by a direct integral method for a quadratic continuous nonlinear absorptive dielectric medium. The quantization of the electromagnetic field in such a nonlinear absorptive dielectric is carried out for which the material dielectric function is assumed as a separable variable about the frequency and the space coordinate. The vacuum field fluctuations for different spatial continuous variations of dielectric function are numerically calculated, which shows that the present result is self-consistent.
Keywords:  nonlinear absorptive dielectric      noise current operator      Green function  
Received:  12 February 2009      Revised:  03 May 2009      Accepted manuscript online: 
PACS:  78.20.Ci (Optical constants (including refractive index, complex dielectric constant, absorption, reflection and transmission coefficients, emissivity))  
  42.65.-k (Nonlinear optics)  
  42.50.Lc (Quantum fluctuations, quantum noise, and quantum jumps)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos.~10574010 and 10974010), and Beijing Commission of Education (Grant No.~1010005466903).

Cite this article: 

Li Wei(李维), Liu Shi-Bing(刘世炳), Yu Cheng-Xin(于承新), and Yang Wei(杨巍) Quantization of electromagnetic field in quadratic continuous nonlinear absorptive dielectrics 2010 Chin. Phys. B 19 024208

[1] Han D D, Kang J F, Liu X Y, Sun L, Lou H and Han R Q 2007 Chin. Phys. 16 245
[2] Chen L L, Gu Y, Wang L J and Gong Q H 2007 Chin. Phys. 16 249
[3] Jauch J M and Watson K M 1948 Phys. Rev. 74 950
[4] Abram I 1987 Phys. Rev. A 35 4661
[5] Kn?ll L, Vogel W and Welsch D G 1987 Phys. Rev. A 36 3803
[6] Blow K J, Loudon R, Phoenix S J D and Shepherd T J 1990 Phys. Rev. A 424102
[7] Drummond P D 1990 Phys. Rev. A 42 4865
[8] Glauber R J and Lewenstein M 1991 Phys. Rev. A 4 3 467
[9] Kn?ll L and Welsch D G 1992 Prog. Quantum Electron 16 135
[10] Kweon G and Lawandy N M 1995 Opt. Commun. 118 388
[11] Santos D J and Loudon R 1995 Phys. Rev. A 52 1538
[12] Huttner B, Baumberg J J and Barnett S M 1991 Europhys. Lett. 16 177
[13] Barnett S M, Huttner B and Loudon R 1992 Phys. Rev. Lett. 68 3698
[14] Huttner B and Barnett S M 1992 Phys. Rev. A 46 4306
[15] Gruner T and Welsch D G 1995 Phys. Rev. A 51 3246
[16] Yeung M S and Gustafson T K 1996 Phys. Rev. A 545227
[17] Dutra S M and Furuya K 1998 Phys. Rev. A 57 3050
[18] Matloob R, Loudon R, Barnett S M and Jeffers J 1995 Phys. Rev. A 52 4823
[19] Barnett S M, Matloob R and Loudon R 1995 J. Mod. Opt. 42 1165
[20] Matloob R and Loudon R 1996 Phys. Rev. A 5 3 4567
[21] Matloob R 1999 Phys. Rev. A 60 50
[22] Matloob R 2004 Phys. Rev. A 70 022108
[23] Tip A 1997 Phys. Rev. A 56 5022
[24] Tip A 1998 Phys. Rev. A 57 4818
[25] Lastdrager B, Tip A and Verhoeven J 2000 Phys. Rev. E 61 5767
[26] Tip A, Kn?ll L, Scheel S and Welsch D G 2001 Phys. Rev.A 6 3 043806
[27] Suttorp L G and Wubs M 2004 Phys. Rev.A 70 013816
[28] Gruner T and Welsch D G 1996 Phys. Rev. A 5 3 1818
[29] Ludwig D 1966 Pure Appl. Math. 19 215
[30] Holford R L 1981 J. Acoust. Soc. Am. 70 1427
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