Quantization of electromagnetic field in quadratic continuous nonlinear absorptive dielectrics

doi:10.1088/1674-1056/19/2/024208

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

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