本文關(guān)鍵詞： 光譜強度 偏振態(tài) 光譜相干度 隨機電磁GSM光束 生物組織　出處：《中北大學》2017年碩士論文　論文類型：學位論文

【摘要】：近幾年來,激光在生物組織中的傳輸和分布成為研究熱點,并且激光與生物組織相互作用形成了光子學與生命科學交叉的新型學科—生物醫(yī)學光子學(Biomedical Photonics)。本文基于矢量框架下的相干偏振統(tǒng)一理論以及廣義惠更斯—菲涅耳原理,推導出隨機電磁高斯謝爾模型(GSM)光束在生物組織中的交叉譜密度矩陣元傳輸方程式,從而對隨機電磁GSM光束的傳輸特性(光譜強度、光譜偏振度、光譜橢圓率、光譜方位角、光譜相干度)進行了研究和分析。全文共分五章,內(nèi)容如下:第一章:首先介紹了目前激光在生物醫(yī)學領(lǐng)域的應用背景與狀況,隨后對隨機電磁GSM光束的研究現(xiàn)狀,以及用到的基礎理論和處理方法進行了概述:包括光束基本傳輸方程、廣義惠更斯—菲涅耳原理、相干偏振統(tǒng)一理論,生物組織的功率譜模型。第二章:利用解析方法推導了隨機電磁GSM光束通過生物組織的交叉譜密度矩陣公式,進而得到隨機電磁GSM光束的光譜強度解析式。運用數(shù)值計算分析了隨機電磁GSM光束通過生物組織的光譜強度在軸上和橫向的傳輸特性。第三章:研究了隨機電磁GSM光束通過生物組織軸上和橫向的偏振態(tài)的變化。詳細分析了軸上和橫向的偏振度,橢圓率,方位角在生物組織中傳輸過程中的變化,以及光束參數(shù)和傳輸距離對光束偏振態(tài)在人類表皮組織傳輸中的影響。第四章:根據(jù)上述推導的隨機電磁GSM光束通過生物組織的交叉譜密度矩陣公式,進而得到隨機電磁GSM光束的光譜相干度解析式。運用數(shù)值計算分析了隨機電磁GSM光束通過生物組織的光譜相干度在軸上和橫向的傳輸特性。第五章:總結(jié)已經(jīng)完成的論文工作,闡述了需要進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.
【學位授予單位】：中北大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：Q6-33;O43

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