随机电磁高斯—谢尔模型光束在生物组织中传输特性的研究

发布时间：2018-02-08 08:13

本文关键词： 光谱强度偏振态光谱相干度随机电磁GSM光束生物组织　出处：《中北大学》2017年硕士论文　论文类型：学位论文

【摘要】：近几年来,激光在生物组织中的传输和分布成为研究热点,并且激光与生物组织相互作用形成了光子学与生命科学交叉的新型学科—生物医学光子学(Biomedical Photonics)。本文基于矢量框架下的相干偏振统一理论以及广义惠更斯—菲涅耳原理,推导出随机电磁高斯谢尔模型(GSM)光束在生物组织中的交叉谱密度矩阵元传输方程式,从而对随机电磁GSM光束的传输特性(光谱强度、光谱偏振度、光谱椭圆率、光谱方位角、光谱相干度)进行了研究和分析。全文共分五章,内容如下:第一章:首先介绍了目前激光在生物医学领域的应用背景与状况,随后对随机电磁GSM光束的研究现状,以及用到的基础理论和处理方法进行了概述:包括光束基本传输方程、广义惠更斯—菲涅耳原理、相干偏振统一理论,生物组织的功率谱模型。第二章:利用解析方法推导了随机电磁GSM光束通过生物组织的交叉谱密度矩阵公式,进而得到随机电磁GSM光束的光谱强度解析式。运用数值计算分析了随机电磁GSM光束通过生物组织的光谱强度在轴上和横向的传输特性。第三章:研究了随机电磁GSM光束通过生物组织轴上和横向的偏振态的变化。详细分析了轴上和横向的偏振度,椭圆率,方位角在生物组织中传输过程中的变化,以及光束参数和传输距离对光束偏振态在人类表皮组织传输中的影响。第四章:根据上述推导的随机电磁GSM光束通过生物组织的交叉谱密度矩阵公式,进而得到随机电磁GSM光束的光谱相干度解析式。运用数值计算分析了随机电磁GSM光束通过生物组织的光谱相干度在轴上和横向的传输特性。第五章:总结已经完成的论文工作,阐述了需要进一步深入研究的工作。
[Abstract]:In recent years, the transmission and distribution of laser in biological tissues has become a hot topic. And the interaction between laser and biological tissue has formed a new subject, Biomedical Photonics, which intersects photonics and life sciences. This paper is based on the coherent polarization unified theory under the vector framework and the generalized Huygens Fresnel principle. The propagation equation of cross spectral density matrix element of random electromagnetic Gao Si Schell model beam in biological tissue is derived, and the propagation characteristics of random electromagnetic GSM beam (spectral intensity, spectral polarization, spectral ellipticity, spectral azimuth) are derived. The whole paper is divided into five chapters: chapter 1: firstly, the background and status of laser application in biomedical field are introduced, and then the research status of random electromagnetic GSM beams is introduced. The basic theories and processing methods used are summarized, including the basic beam propagation equation, the generalized Huygens-Fresnel principle, the coherent polarization unified theory, Power Spectral Model of Biological tissue. Chapter 2: the formula of cross spectral density matrix of random electromagnetic GSM beam passing through biological tissue is derived by analytical method. Then the analytical formula of spectral intensity of random electromagnetic GSM beam is obtained. The propagation characteristics of the spectral intensity of random electromagnetic GSM beam through biological tissue are analyzed by numerical calculation. Chapter 3: random electromagnetic beam is studied. The variation of the polarization state of GSM beam through the axis and transverse of biological tissue. The degree of polarization on axis and lateral side is analyzed in detail. The change of ellipticity, azimuth in the course of transmission in biological tissue, And the effect of beam parameters and propagation distance on the propagation of polarized beam in human epidermal tissue. Chapter 4th: based on the above derived formula of cross spectral density matrix of random electromagnetic GSM beam passing through biological tissue, Furthermore, the analytical formula of spectral coherence of random electromagnetic GSM beams is obtained. The propagation characteristics of spectral coherence of random electromagnetic GSM beams through biological tissues are analyzed by numerical calculation. Chapter 5th: summary of the work done, The work that needs further research is expounded.
【学位授予单位】：中北大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：Q6-33;O43

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