摘要
等高线相交法是用于反演微小颗粒复折射率的一种新方法,目前利用该方法反演纳米颗粒复折射率的研究未见报道。以Au纳米球为研究对象,探讨了等高线相交法在纳米颗粒复折射率反演问题中的可行性和可靠性。利用Mie理论和介电函数尺寸修正模型计算得出Au纳米球的光散射和光吸收特性与复折射率的对应关系,结合等高线相交法反演获得颗粒复折射率,给出了等高线相交法出现多个有效解时确定唯一解的后向散射效率约束方式并定量分析了复折射率步长、颗粒尺寸及测量误差等因素对反演结果的影响。最后,与传统迭代法的反演精度进行对比分析,结果表明:Au纳米球对光的散射和吸收效率可以利用等高线相交法反演得到准确的复折射率;当测量误差小于5%时,可以确保反演结果的准确性;同等条件下等高线相交法反演的结果优于迭代法。此研究为Au纳米球复折射率的测量提供简单可靠的反演方法。
The contour intersection method is a novel method for inverting the complex refractive index of small particles.Currently,there are no reports on the use of this method for the inversion of the complex refractive index of nanoparticles.In this study,Au nanospheres are considered as the research object,and the feasibility and reliability of the contour intersection method in the inversion of the complex refractive index of nanoparticles are investigated.The Mie theory and dielectric function size correction model are used to calculate the relationship between the light scattering and absorption characteristics of Au nanospheres and the complex refractive index.The complex refractive index of the particles is obtained by a combination of the contour intersection method,Mie theory,and dielectric function size correction model.The backscattering efficiency constraint method is proposed for determining the unique solution among multiple valid solutions for the contour intersection method.The effects of the complex refractive index step size,particle size,and measurement error on the inversion results are quantitatively analyzed.Finally,the inversion accuracy of this method is compared with that of the traditional iterative method.The results show that if the scattering light efficiency and light absorption efficiency of Au nanospheres are known,the accurate complex refractive index can be obtained using the contour intersection method;when the measurement error is less than 5%,the accuracy of the inversion results can be ensured;under the same conditions,the inversion results of the contour intersection method are better than those of the iterative method.This simple inversion method is reliable for the measurement of the complex refractive index of Au nanospheres.
作者
程龙
帕尔哈提江·吐尔孙
马登攀
郑玉霞
热米莱·阿卜来提
Cheng Long;Paerhatijiang Tuersun;Ma Dengpan;Zheng Yuxia;Remilai Abulaiti(School of Physics and Electronic Engineering,Xinjiang Normal University,Urumqi 830054,Xinjiang,China;Key Laboratory of Mineral Luminescent Material and Microstructure of Xinjiang,Urumqi 830054,Xinjiang,China)
出处
《激光与光电子学进展》
CSCD
北大核心
2023年第21期250-259,共10页
Laser & Optoelectronics Progress
基金
国家自然科学基金(11764042)
新疆维吾尔自治区自然科学基金(2021D01A116)
新疆矿物发光材料及其微结构重点实验室招标课题(KWFG202205)。
关键词
MIE理论
等高线相交法
Au纳米球
复折射率
Mie theory
contour intersection method
Au nanoparticle
complex refractive index
