激光器諧振腔設(shè)計(jì)和熱穩(wěn)定性研究
Research on designing laser resonant cavity and its thermal stability

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摘要: 激光作為20世紀(jì)最重大的科技發(fā)明之一，不但廣泛地應(yīng)用于科技領(lǐng)域的最前沿，還對(duì)人們的日常生活及工業(yè)生產(chǎn)產(chǎn)生了深遠(yuǎn)的影響，全球與激光相關(guān)的產(chǎn)業(yè)價(jià)值已經(jīng)超過(guò)了千萬(wàn)億美元的年產(chǎn)值。光學(xué)諧振腔是光波在其中來(lái)回反射從而提供光能反饋的空腔。由于激光諧振腔在工作過(guò)程中會(huì)產(chǎn)生熱效應(yīng)，會(huì)對(duì)諧振腔的穩(wěn)定性造成一定的影響。本文正是對(duì)諧振腔的穩(wěn)定性和熱效應(yīng)進(jìn)行了深入的分析與研究。
本文首先對(duì)光學(xué)諧振腔進(jìn)行了概述，然后闡述了光學(xué)諧振腔類(lèi)型及其穩(wěn)定性基本理論、工作介質(zhì)熱效應(yīng)的理論知識(shí)及熱效應(yīng)的危害等。在本文第三章，以倍頻聲光調(diào)Q激光器為對(duì)象，利用數(shù)學(xué)軟件MATLAB編寫(xiě)程序進(jìn)行諧振腔穩(wěn)定性計(jì)算，根據(jù)穩(wěn)定性結(jié)果，得到諧振腔幾何參數(shù)范圍，以確保諧振腔能夠工作于穩(wěn)定區(qū)。最后對(duì)本次設(shè)計(jì)進(jìn)行了總結(jié)和展望。



關(guān)鍵詞：光學(xué)諧振腔 激光 MATLAB 熱效應(yīng) 穩(wěn)定性 固體激光器

Research on designing laser resonant cavity and its thermal stability

Abstract: Laser, as one of the most significant technological invention in twentieth century, not only widely used in the field of science and technology, but also had a profound impact on people's daily life and industrial production. The global output value of laser-related industry has exceeded a million billion dollars every year. Optical resonant cavity in which light reflects back and forth can provide energy feedback. As the laser cavity in the work process will produce thermal effects, cavity stability would have been affected. In this article, resonant cavity stability and thermal effect are analyzed and studied deeply.
This paper first summarizes the optical resonant cavity, and then describes the optical resonator type and the basic theory of stability, the theory and knowledge of working medium thermal effects and the hazards of thermal effects etc. In the third chapter, aimed at the frequency doubling and acousto-optic Q-switched laser, mathematical software MATLAB was used, then I write a program to calculate the resonant cavity stability. According to the results of stability, the resonant cavity geometry parameters were got, to ensure that the resonant cavity can work in the stable region. In the end I make a summary of the graduation design and an outlook.

Key words：Optical Resonator Laser MATLAB Thermal Effect Stability Solid State Laser


目錄
第一章 緒論 1
1.1光學(xué)諧振腔的類(lèi)型 1
1.2諧振腔的熱效應(yīng) 2
1.2.1諧振腔熱效應(yīng)產(chǎn)生的原因概述 3
1.2.2熱效應(yīng)的類(lèi)型 3
1.2.3 熱效應(yīng)的危害 4
第二章 光學(xué)諧振腔理論 5
2.1諧振腔穩(wěn)定性的基礎(chǔ)知識(shí) 5
2.1.1穩(wěn)定腔與非穩(wěn)腔的概念 5
2.2共軸球面腔的光線傳輸矩陣?yán)碚?5
2.2.1光線傳輸矩陣[16] 6
2.2.2光腔穩(wěn)定條件 10
2.2.3球面腔的分類(lèi) 13
2.3 諧振腔熱穩(wěn)定性基礎(chǔ)理論 15
2.3.1連續(xù)激光器的熱效應(yīng) 15
第三章 使用MATLAB進(jìn)行諧振腔穩(wěn)定性分析 21
3.1諧振腔穩(wěn)定性矩陣推導(dǎo) 22
3.1.1諧振腔內(nèi)部的近似模型 22
3.1.2激光器諧振腔的傳輸矩陣 22
3.2程序編寫(xiě) 22
3.2.1程序流程圖 23
3.2.2程序 25
3.3對(duì)諧振腔的穩(wěn)定性分析 27
3.3.1 分析f1和f2的變化對(duì)諧振腔穩(wěn)定性的影響 27
3.3.2 分析l1和l2的變化對(duì)諧振腔穩(wěn)定性的影響 28
3.4平凹鏡曲率半徑R對(duì)穩(wěn)定性的影響 32
3.5光束直徑 33
第四章 總結(jié)和展望 34
4.1 總結(jié) 34
4.2 展望 34
致 謝 36
參考文獻(xiàn) 37