We find that the mapping from classical optical transformations to the optical operator method can be realized by using the coherent state representation and the technique of integration within an ordered product of o...We find that the mapping from classical optical transformations to the optical operator method can be realized by using the coherent state representation and the technique of integration within an ordered product of operators. The optical Fresnel operator derived in (Commun. Theor. Phys. (Beijing, China) 38 (2002) 147) can unify those frequently used optical operators. Various decompositions of Fresnel operator into the exponential canonical operators are obtained.展开更多
Based on the entangled Fresnel operator (EFO) proposed in [Commun. Theor. Phys. 46 (2006) 559], the optical operator method studied by the IWOP technique (Ma et al., Commun. Theor. Phys. 49 (2008) 1295) is ext...Based on the entangled Fresnel operator (EFO) proposed in [Commun. Theor. Phys. 46 (2006) 559], the optical operator method studied by the IWOP technique (Ma et al., Commun. Theor. Phys. 49 (2008) 1295) is extended to the two-mode case, which gives the decomposition of the entangled Fresnel operator, corresponding to the decomposition of ray transfer matrix [A, B, C, D]. The EFO can unify those optical operators in two-mode case. Various decompositions of EFO into the exponential canonical operators are obtained. The entangled state representation is useful in the research.展开更多
利用改进型衍射理论MTPO(Modified Theory of Physics Optics)对直边衍射现象做出了解释.用数值模拟方法得出了直边衍射场强随衍射角度的变化曲线,并与广泛采用的菲涅耳近似衍射方法结果进行比较,发现在很大的角度空间上,二者所得出的...利用改进型衍射理论MTPO(Modified Theory of Physics Optics)对直边衍射现象做出了解释.用数值模拟方法得出了直边衍射场强随衍射角度的变化曲线,并与广泛采用的菲涅耳近似衍射方法结果进行比较,发现在很大的角度空间上,二者所得出的衍射场强与精确解吻合较好.但在入射波的几何传播方向上,即边缘上的衍射场强分布,MTPO方法则具有更高的准确度.展开更多
基金The project supported by National Natural Science Foundation of China under Grant No.10475056
文摘We find that the mapping from classical optical transformations to the optical operator method can be realized by using the coherent state representation and the technique of integration within an ordered product of operators. The optical Fresnel operator derived in (Commun. Theor. Phys. (Beijing, China) 38 (2002) 147) can unify those frequently used optical operators. Various decompositions of Fresnel operator into the exponential canonical operators are obtained.
基金Supported by the National Natural Science Foundation of China under Grant No. 10775097the Research Foundation of the Education Department of Jiangxi Province of China under Grant No. GJJ10097
文摘Based on the entangled Fresnel operator (EFO) proposed in [Commun. Theor. Phys. 46 (2006) 559], the optical operator method studied by the IWOP technique (Ma et al., Commun. Theor. Phys. 49 (2008) 1295) is extended to the two-mode case, which gives the decomposition of the entangled Fresnel operator, corresponding to the decomposition of ray transfer matrix [A, B, C, D]. The EFO can unify those optical operators in two-mode case. Various decompositions of EFO into the exponential canonical operators are obtained. The entangled state representation is useful in the research.
文摘利用改进型衍射理论MTPO(Modified Theory of Physics Optics)对直边衍射现象做出了解释.用数值模拟方法得出了直边衍射场强随衍射角度的变化曲线,并与广泛采用的菲涅耳近似衍射方法结果进行比较,发现在很大的角度空间上,二者所得出的衍射场强与精确解吻合较好.但在入射波的几何传播方向上,即边缘上的衍射场强分布,MTPO方法则具有更高的准确度.