Quantization of electromagnetic field in quadratic continuous nonlinear absorptive dielectrics

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

中国物理B ›› 2010, Vol. 19 ›› Issue (2): 24208-024208.doi: 10.1088/1674-1056/19/2/024208

Quantization of electromagnetic field in quadratic continuous nonlinear absorptive dielectrics

李维, 刘世炳, 于承新, 杨巍

Institute of Laser Engineering, Beijng University of Technology, Beijing 100124, China

收稿日期:2009-02-12 修回日期:2009-05-03 出版日期:2010-02-15 发布日期:2010-02-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos.~10574010 and 10974010), and Beijing Commission of Education (Grant No.~1010005466903).

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

Received:2009-02-12 Revised:2009-05-03 Online:2010-02-15 Published:2010-02-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos.~10574010 and 10974010), and Beijing Commission of Education (Grant No.~1010005466903).

摘要/Abstract

摘要： 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.

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.

Key words: nonlinear absorptive dielectric, noise current operator, Green function

中图分类号: (Optical constants (including refractive index, complex dielectric constant, absorption, reflection and transmission coefficients, emissivity))

78.20.Ci

42.65.-k (Nonlinear optics) 42.50.Lc (Quantum fluctuations, quantum noise, and quantum jumps)

李维, 刘世炳, 于承新, 杨巍. Quantization of electromagnetic field in quadratic continuous nonlinear absorptive dielectrics[J]. 中国物理B, 2010, 19(2): 24208-024208.

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[J]. Chin. Phys. B, 2010, 19(2): 24208-024208.

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Quantization of electromagnetic field in quadratic continuous nonlinear absorptive dielectrics

Quantization of electromagnetic field in quadratic continuous nonlinear absorptive dielectrics

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