Luận án tiến sĩ: Đặc tính quang học vật liệu dị hướng và môi trường đục

Amk w WK we ph 42 FR 8 Dissertation for Doctor of Philosophy *‡c Si TET SIES y 3) oP 0 I ñ FR HG BRSl Characterization on effective optical parameters of anisotropic materials and turbid media using Stokes polarimeter ot 3% + : S4kKB Student: Pham, Thi-Thu-Hien 46 AHR: BRR ~~ Advisor: Lo, Yu-Lung National Cheng Kung University Department of Mechanical Engineering Tainan, Taiwan, R. May, 2012 PERE -A-+#AA BỊ ờ #z? Tỷ +3% â # ‡C #16 3:% AE SF th 34a i18 2 R * HG ERS i] Characterization on effective optical parameters of anisotropic materials and turbid media using Stokes polarimeter + : ft 34 ñ šà x 3X “@ #t 6 4 d 34⁄2 M HH eA šà % #34 A: BAY wy Characterization on effective optical parameters of anisotropic materials and turbid media using Stokes polarimeter Pham Thi Thu Hien National Cheng Kung University Department of Mechanical Engineering, Tainan, Taiwan, R. Abstract A decoupled analytical technique based on the Mueller matrix method and the Stokes parameters is proposed for extracting nine effective parameters in linear birefringence (LB), linear dichroism (LD), circular birefrinegence (CB), and circular dichroism (CD), linear depolarization (L-Dep), and circular depolarization (C-Dep) properties of turbid media. In contrast to existing analytical models, the nine effective parameters are extracted in a totally decoupled manner.

It is noted that the recent related studies did not show enough nine parameters of characteristics of bio-sample. The error and resolution analysis of the proposed approach is demonstrated by extracting the effective parameters of optical samples with varying degrees of linear / circular birefringence, linear / circular dichroism, and linear / circular depolarization given an assumption of errors ranging from +0.005 in the values of the output Stokes parameters. The results confirm the ability of the proposed method to yield full-range measurements of all the effective optical parameters. The validity of the proposed measurement method in testing different samples is proved.

Also, the experimental results have showed that the CB property of two types polystyrene microspheres with containing D-glucose and de-ionized water with containing D-glucose is affected by the distance between the samples and detector. The decoupled nature of the analytical model yields several important advantages, including an improved accuracy and the ability to extract the parameters of optical samples with only linear birefringence, circular birefringence, linear dichroism, circular dichroism or depolarization property without using compensation technique or pretreatment. Moreover, by decoupling the extraction process, the “multiple solutions” problem inherent in previous models presented by the current group is avoided. As authors’ knowledge, this methodology could be the most comprehensive algorithm in extracting all nine effective parameters in decoupling in turbid media.

When using an optical fiber probe to measure the properties of anisotropic optical materials, some form of polarization controller is required to compensate for the inherent birefringence and diattenuation properties of the fiber. The experimental settings of the optical components within the polarization controller are generally determined on a trial-and-error basis; resulting in a lengthy experimentation process. Accordingly, in the present study, a method is proposed for calculating in advance the precise controller settings required to guarantee the formation of a free-space condition. In the proposed approach, the effective optical parameters of the optical fiber are determined using this analytical method, and the optimal settings of the polarization controller are then determined using a genetic algorithm.

It is shown that the proposed approach enables a free-space condition to be achieved for the common polarization controller. The practical applicability of the proposed approach is demonstrated by remotely and absolutely measuring the linear birefringence and linear diattenuation properties of a quarter-wave plate and a polarizer, respectively. Keyword: Anisotropic optical materials; Turbid media; Mueller matrix; Stokes vector; Metrology; Polarimetry; Bio-tissue. Il *+c 18 TK H 3 3È 5 ñg 3:4 b8 7ì SH BS Re iA Se AK B AUK AAA RRL BA SaR C APH FH AR — FB IS tr FEES) BR # ‡C LARLY Da BT RAR RR} ` Ñ bú BR EAR aT St + BR PEAR mg 8Ä 34 > HEE RAT HT > HEE IR © RE TE ABBE 16 th EVE HE OY AUDA © FERRE TAFE 69 22718 5 › Hd 2 2 RY 2 3 ABSA 8# th › 1ã 1Ÿ 33+ BO eALERTS t 3Ý ¿424 LM AB oR 2 3/2 +} MAF f8 89 ZU AS © AR235th 81 IK PT 5B th 8f th 2 I5] SR E/E #è 3ƒ Ht PA BRR MEL Fe PE AE 6 3X 3à 89 7E St bị EA + 3ý f4 HT tị OY BIG TL EMRE SE] šy+0.005 2k 2-3ƒ HR Z Đi 8# tí AR ° & à Z6 3438 tị n9 AKRAM 3S? 2-šL§k Š + 2 RSA RH SAA EAA GAA E] 4 3k &3ấ 9 EE › T 5a 4 RRA 4-24 D A ä) dã 8 & đệ ƒ Zk#u1š OD fa) Sy lề 69246 54 2 TZ Hỗ GSR 88 oY CBE ñ Š lá 2 64 {5 Al 3S lá] SEAR AY 3Ÿ ° PRED RAL ANA 4 3ƒ ý EROS LIKES BRERA MH 12 RUE RAT AT + BREE fJ RR > EVE Sẽ 3ƒ AT > He PEE fñJ RR 3 2 1 EE 5 HE Baa AY BR it AR & đã th FA BT TAR ED oo dU2} › #22 869184? A + OED ARG) Rl #8 #- BAT AZ ATI thị 9 47H CRHe MEA A? RED ARIAS 7ì ñ HOARY 2 3⁄5] §6 £ HR RIL IR LIK ° FL 3838 ‡† 5 ñAI HGS 3E 5 f1 3i EG › ấy & H Aim aa) BS %5 d8 TẾ 2 đổi AS HAT HAR RE ñ › mi ARTE Te) 8 69 3 #8 OE 33 2E HET TK 9 7 Bà 18 Il EP RRA MACH)? AIP ' km — sy Bie el 8 ?4 RA RRR #| á dì 2 hel ie pa AT A EM SRAM BFA RARER Tỷ Mg RIE Hl] BS 89 tá {E434 ! x 3 9 Se ch Oo AK 4E 2) E 30 Tố RAE ị SE #| dị 2 RHR AR iš th SA) 2> — jš h BORE a 4| }+ 5 Đụ 4e 16 3Š RE SR BEA & dt 9 du 2 ik ERB - BASES): Beye LB att» RESY + Fe» PICA RIA Tế IÁ © # 3 #8 BR ° IV Acknowledgments There is always not enough space when it comes to thank all the people with whom I spent considerable time together.

Although sometimes it was a little tough, I had wonderful time during my graduate studies at National Cheng Kung University and I am deeply indebted to many people. Firstly, I would like to express my gratitude to my academic advisor Prof. Lo, Yu-Lung for his unlimited support, guidance and encouragement during my graduate study at National Cheng Kung University, enabling the completion of this dissertation. It has been a great pleasure and honor to be one of his students.

This study would not have been possible without his supervision and support. I would like to thank the Department of Mechanical Engineering at NCKU, especially those members of my committee for their valuable suggestions and discussions. I am indebted to many of my labmates who supported and helped me a lot in my researching as well as difficulties in this study. I am grateful to my roommates and my friends in NCKU who share weal and woe in the lonely life in a foreign country.

Finally, I would like to give my special thanks to my beloved parents, my husband, my younger brother, and my younger sister for their endless love, understanding and encourage through the duration of my study as well as the life away from home. Table of Contents ASÍTAAC. 0G cọc HT HT 0000.5000 00000090096 00 | TP SCA GHI TT 0 00. 0000000000008 Il Table of COTIẨf€TIES.

0 0000906090604000010896 80 VỊ List Of FIgures .0800040 XI List Of “TT AÌDÌ€S .0 0910400000900966090 000 XVII Chapter 1 Introduction .2 The recent relative researches CIY)ỆINAỌẠỌẠIỌỊIỘIỤIỘaẠDạđai 4 1.1 Linear birefringence and linear dichroism properties .2 Circular birefringence and Circular dichroism properfIes.3 Linear/circular depolarization properties .3 Purposes Of S{UỈy. Ghi 18 Chapter 2 Birefringent, dichroic and depolarized materials .1 Linear birefringent Imaf€T1aÌS.2 Linear dichroic TTAf€TIAÌS.3 Circular birefringent materials. - -- 5 «+1 xxx ng ngư 29 2.4 Circular dichroic Imaf€T1ÌS.-- «6 2s 101911930 931 111v ng ng 31 VI 2.5 Linear / Circular depolarized mat€T1aÌS. -- 5 + + * *++sk+seeeseeeeess 33 Chapter 3 Metho(OÏOĐ.

-- <5 5 5 sọ TT TH.1 Stokes Vector and Mueller Matrix TerminoÌOØV.2 Depolarizing Mueller matrix of scattering Media .3 Mueller Matrices of LB, CB, LD, CD and depolarization.4 Analytical technique for extracting six effective optical parameters of bu 09401401) 1i55 1 20077.5 Analytical technique for extracting nine effective optical parameters of turbid ðï. ddddẨVỶ'Ỷ'rdầẦŸˆỲỸỶỲỸŨẦDẦDẦDỒỮỮ. 47 Chapter 4 Analytical simulations and error aInaÌSÌS. c6 5+ 931291209911 nh ng gàng 63 4.2 Sensitivity analysis of proposed analytical model .3 Resolution of extracted parameter values for samples with low LB, LD, CB and CD properties.

cece óc E113 E1 HH HH 70 4.4 Influence of the order of retarder and diattenuator .1 Influence of the order of [Ma], [Mr] and [Mn].2 Influence of the order of retarder and điattenuafOT. - --«‹-««++ 81 Chapter 5 Demonstration with the other research ør0upD.1 The proposed study method .-- SG 1111211911 9111 11101 21 nh ray 88 5.2 Polar decomposition method (Lu and Chipman) .3 The differential Mueller matrix method.4 The pseudopolar decomposition method.-- ---- «+ «+ ++*£++eeeseseeess 99 Chapter 6 Experimental Setup .1 Measurement of six parameters (LB/CB and LD/CT).2 Measurement of nine parameters (LB/CB, LD/CD and depolarization) .3 Modify the optical system with optical fiber as lead-in/out media. 107 Chapter 7 Experimental results .1 Experimental results of six parameters (LB/CB and LD/CD) .1 Quarter-wave plate (LB OnlÏY).2 Half-wave plate and de-ionized water containing D-glucose (CB only)113 7.1 Half-wave plate (CB property OHÏÿ).2 De-ionized water containing D-glucose (CB property only) .-- -- c1 TH HH ng 116 7.6 Composite sample comprising quarter-wave plate, half-wave plate and polarizer (LB, CB and LD properties) .1 Aligned principal axis of quarter-wave plate, half-wave plate and DOLAHIZED .2 Non-aligned principal axis of quarter-wave plate, half-wave plate VIH 1/18/5111 000886 .2 Experimental results of nine parameters (LB/CB, LD/CD and depolarization) 7.1 Baked polarizer as a sample (LB and LD properties) .2 Suspended particles with containing D-glucose (CB, L-Dep and C-Dep PTOPETICS) eee eee eeeceeeneceseecetcecseecsaeesseecsseecsaecesaeesscecsaeersaeeeaeeeeeseaeeees 126 7.1 Variation of D-glucose CONCENHTATION .2 Calibration in distance between sample and defeC†OF.3 Depolarizer as a sample (L-Dep and C-Dep properties) .4 Composite sample comprising of a depolarizer and a quarter-wave plate (LB, L-Dep and C-Dep properfI€$).3 Design of polarization-insensitive optical fiber probe based on effective Optical DATATT€f€TS.- G56 0211230 1338939 119111931 1119 nh HH Hệ 135 7.1 Construction of free-space condition using polarization controller with variable retarder and half-wave pÏaf€.1 Principle offree-space media construction using variable retarder AN Nal f-Wave Plate 0 0707Ẽ7Ẽ085886eẺe.2 Experimental verification of GA optimization procedure .2 Construction of free-space condition using polarization controller with two quarter-wave plates and one half-wave pÏafe.3 Measurement of LB and LD sample parameters using common-path interferometer with polarization-insensitive fiber probe. 145 Ix Chapter 8 Conclusions and Discussions .1 Conclusions and DISCUSSIONS.

HH TH ng HH nh HH ng krờ 152 ]р̀TCIIC€S. Journal DA€TS. Conference DAD€TS. esceeneeeees 173 List of Figures Figure 1.1 Schematic illustration of Fasolka et al.

[46] and Goldner et al. [47, 48]: (a) Schematic of a polarization modulation (PM) polarimeter; (b) Schematic of the apparatus used in the WOTK.------xcsxc+ecseces 5 Figure 1.2 Schematic illustration of Campillo and Hsu [49]. Schematic illustration of Chenault and Chipman’s model [50-52].4 Schematic illustration of model of Huang and Knighton [6].5 Schematic illustration of model of Bueno and Artal [ŠŠ].6 Schematic illustration of model of Todorovic et al.7 Schematic illustration of Kuroda group [65].8 Schematic illustration of model of Prahl and his group [73].