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研究生:柯柏廷
研究生(外文):Bo-TingKe
論文名稱:基於FPGA之Shack-Hartmann波前感測器應用於適應性光學
論文名稱(外文):FPGA-based Shack-Hartmann Wavefront Sensor for Adaptive Optics
指導教授:陳顯禎
指導教授(外文):Shean-Jen Chen
學位類別:碩士
校院名稱:國立成功大學
系所名稱:工程科學系碩博士班
學門:工程學門
學類:綜合工程學類
論文種類:學術論文
論文出版年:2012
畢業學年度:100
語文別:中文
論文頁數:52
中文關鍵詞:適應性光學系統Shack-Hartmann波前感測器Zernike模型多通道控制
外文關鍵詞:adaptive optics systemShack-Hartmann wavefront sensorZernike modelmultichannel control
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  • 下載下載:49
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適應性光學系統(adaptive optics system,AOS)主要包含三個部分:波前感測器(wavefront sensor)、波前修正器(wavefront corrector)與補償控制器(reconstruction controller)。本論文主要以自製的Shack-Hartmann波前感測器(Shack-Hartmann wavefront sensor,SHWS),搭配影像解碼器電路使感測系統達到30 Hz的速度,再利用現場可編程輯閘陣列(field programmable gate array,FPGA)接收資訊、演算法的運算並控制可調變聚焦鏡(deformable mirror,DM)。控制系統採用32通道DM來做為波前修正元件以補償波前相位干擾,實現基於FPGA之SHWS應用於適應性光學系統,可即時補償外來干擾所造成的像差。
SHWS、影像解碼器電路和FPGA所組成的系統主要是為了讓適應性光學系統達到即時修正,不須透過電腦,透過電腦會因多重任務執行的設計,會使得在高速時發生控制迴圈無法保持穩定,而本論文發展的系統是靠著硬體時脈在運行,所以可以維持固定速度。自製SHWS的前端的波前感測部分是使用Shack-Hartmann架構,藉由感光耦合元件(CCD)上的聚焦光點位置得到波前資訊,並以Zernike模型重建波前,使用多通道輸入及多通道輸出(multichannel-input-multichannel-output,MIMO)系統鑑別的動作先得到系統的狀態模型,利用linear-quadratic-integral (LQI)的控制概念與系統模型設計出所要的控制器,此適應性光學系統速度已到達30 Hz,並降低外來干擾所造成之像差,可以將受干擾輸出光的Strehl ratio提升1.75倍,有效的提高輸出雷射光的聚焦效率。

An adaptive optics system (AOS) consists of three main components: wavefront sensor, wavefront corrector, and reconstruction controller. This thesis has developed a Shack-Hartmann wavefront sensor (SHWS) that can achieve 30 Hz frame rate via a video decoder circuit. Moreover, a 32-channel deformable mirror (DM) is used to compensate the phase distortion from external disturbances. A field programmable gate array (FPGA)-based Shack-Hartmann wavefront sensor has been setup for AOS, and it can compensate the optical aberration from surrounding environment in real time.
The overall system of the wavefront sensor is composed of a lab-made SHWS, a video decoder circuit, and a FPGA-based control model. A FPGA-based control model not a CPU base, the AOS can achieve a real-time compensation. Due to the multitasking operation system of a CPU-based PC Window system, the timer of the control loop will be unstable at a speed higher than 10 Hz. The lab-made wavefront sensing system depends on the hardware clock of the FPGA, so it can maintain a fixed speed easily. The frontend of the wavefront sensing system is based the Shack-Hartmann configuration. The wavefront information is obtained by positioning the focal spots on a charge coupled device camera, and then uses a Zernike model to remodel the wavefront information. The system between the DM and the SHWS is identified by a multichannel-input-multichannel-output (MIMO) state-space system identification algorithm, and then the controller is designed by a linear-quadratic-integral (LQI) controller via the identified system model. Currently, the lab-made AOS can reduce the aberrations caused by external disturbances at control loop of 30 Hz and the Strehl ratio of focusing spot is increased up to 1.75 times.

摘要 II
Abstract III
誌謝 V
目錄 VI
圖目錄 VIII
表目錄 X
第一章 序論 1
1-1 前言 1
1-2 文獻回顧 2
1-3 研究目的與動機 3
1-4 論文結構 4
第二章 適應性光學系統 5
2-1 波前感測機制 5
2-1-1 干涉術 6
2-1-2 Shack-Hartmann波前感測器 8
2-2 波前修正 8
2-2-1 可調變聚焦鏡 9
2-2-2 多通道驅動器 11
2-3 系統控制 14
第三章 Shack-Hartmann波前感測 16
3-1 基本原理 16
3-2 波前重建 19
3-3 Shack-Hartmann波前感測器架構 22
3-3-1 主要元件 22
3-3-2 Shack-Hartmann波前感測流程 28
第四章 系統鑑別與控制流程 30
4-1多通道系統鑑別 30
4-2 Linear-quadratic-integral控制系統設計 33
第五章 結果與討論 36
5-1系統架構與流程 36
5-2實驗結果 38
5-2-1 靜態干擾 38
5-2-1 動態干擾 43
第六章 結論與未來展望 47
參考文獻 49

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