vii TABLE OF CONTENTS CHAPTER TITLE Title page i Declaration of originality ii Dedication iii Acknowledgements iv Abstract v Abstrak vi Table of Contents vii List of Tables x List of Figures xi List of Symbols xvi List of Appendices 1 2 PAGE xviii INTRODUCTION 1 1.1 Overview 1 1.2 Problem Statement 2 1.3 Research Objective 3 1.4 Research Scope 4 1.5 Thesis Outline 4 THEORY 6 2.1 Introduction 6 2.2 Laser Beam Focusing 7 2.3 Photodisruption 9 viii 2.3.1 Optical Breakdown 11 2.3.2 Plasma 14 2.3.2.1 Plasma Formation 14 2.3.2.2 Plasma Temperature 15 Acoustic Shockwave Generation 18 2.3.3 3 2.4 Laser Interaction with Transparent Material 20 2.5 22 Conclusion METHODOLOGY 23 3.1 Introduction 23 3.2 Samples 24 3.2.1 Saline Solution 24 3.2.2 Polymethylmethacrylate (PMMA) 25 3.3 Nd:YAG Laser System 3.3.1 Pockels Cell 27 3.3.2 External Triggering Circuit 28 3.4 Measurement Equipment 4 25 30 3.4.1 Power Meter 30 3.4.2 Photodetector 31 3.4.3 Langmuir Probe 31 3.4.4 Pressure Sensor 33 3.5 Imaging Equipment 33 3.6 Image Calibration 36 3.7 Experimental Setup 37 3.7.1 Observation of Plasma Formation 37 3.7.2 Plasma Temperature Measurement 39 3.7.3 Detection of Pressure Waves 40 3.7.4 Photodisruption Effects on PMMA 41 PLASMA FORMATION 43 4.1 Introduction 43 4.2 Plasma Formation Induced by Single Lens Technique 44 4.3 Plasma Formation Induced by Combination Lenses 48 ix Technique 4.4 5 6 7 8 Measurement of the Plasma Length 50 PLASMA TEMPERATURE 54 5.1 Introduction 54 5.2 Plasma Temperature 55 GENERATION OF PRESSURE WAVES 62 6.1 Introduction 62 6.2 Pressure Measurement 63 6.3 Pressure Profile 67 PHOTODISRUPTION EFFECTS ON PMMA 70 7.1 Introduction 70 7.2 Photodisruption Effects 71 CONCLUSION 79 8.1 Introduction 79 8.2 Conclusion 80 8.3 Recommendations 81 REFERENCES Appendices A - G 83 89 - 98 x LIST OF TABLES TABLE NO. 3.1 TITLE PAGE Values of laser beam parameters for different focusing techniques. 38 4.1 Plasma length measured for both techniques. 52 5.1 Data obtained from the Langmuir probe signal detected by oscilloscope. 6.1 Amplitude of the signals detected for different oscillator voltages. 6.2 67 Damaged area measured for different laser energy for 1, 5 and 10 pulses. 7.2 67 Pressure amplitude as a function of laser energy at various distances. 7.1 59 77 Damaged area measured for various number of laser pulses. 77 xi LIST OF FIGURES FIGURE NO. TITLE 2.1 The depth of focus of the laser light [11]. 2.2 Beam diameter of a Gaussian beam as fundamental mode TEM00 and function of z [11]. 2.3 7 8 Mechanism of photodisruption induced by Q-switched Nd:YAG laser [21]. 2.4 PAGE 11 (a) Initiation, (b) electron avalanche growth and (c) plasma formation by optical breakdown. The dominant mechanism of initiation of ionization by a Q-switched pulse is thermionic emission [21]. 13 2.5 Current-voltage (I-V) characteristic curve of plasma [40]. 16 2.6 Schematic diagram of breakdown due to Q-switched laser pulse in PMMA. f denotes the position of the focus [57]. 3.1 22 Samples used in the experiment: (a) Saline solution (b) PMMA 24 xii 3.2 Photograph of HY200 Nd:YAG laser. 26 3.3 HY200 Nd:YAG laser component layout [61]. 26 3.4 Simplified four level system for solid-state Nd:YAG laser [11]. 27 3.5 Schematic diagram of the external trigger circuit. 29 3.6 Output pulse of the external trigger circuit. 29 3.7 Time delay between the external trigger and the laser. 30 3.8 The Langmuir probe 32 3.9 The Langmuir probe and its detection circuit: (a) The detection circuit of the Langmuir probe (b) Schematic diagram of Langmuir probe detection circuit [68]. 3.10 The voltage mode pressure sensor used to detect the pressure waves signals. 3.11 32 33 Photographs of imaging equipments: (a) CCD Camera (b) Photomicroscope 34 3.12 Interface of the Matrox Inspector software. 35 3.13 VideoTest 5.0 software used to analyze the laser beam on 3.14 burn paper. 35 Image of wire taken using CCD camera. 36 xiii 3.15 Single lens focusing technique. 37 3.16 Combination of two lenses to focus the laser beam. 37 3.17 Experimental setup to study the generation of plasma in saline using combination of two lenses. 39 3.18 Schematic diagram of experimental setup 40 3.19 Experimental arrangement for pressure wave detection 41 3.20 Schematic diagram of experimental setup to study the damage on PMMA. 4.1 42 Plasma produced when single lens technique used. Magnification of 6x. The direction of laser beam is toward the right. 4.2 46 Growth of plasma anterior to the predicted focal point [21]: (a) a threshold pulse with spherical breakdown at the beam waist; (b) a greatly suprathreshold pulse attains breakdown threshold anterior to the minimal spot size (c) a moderately suprathreshold pulse extends toward the laser source in a multilobed configuration 47 4.3 Multiple breakdown due to longer focal region [56]. 47 4.4 Plasma formed in saline solution. Magnification factor is 8x. The laser is incident from the left. 49 xiv 4.5 Observation of plasma using different focusing 51 techniques: (a) Single lens focusing technique (b) Combination lenses focusing technique 4.6 The distribution of plasma beam along the x-axis [11]: (a) Gaussian beam profile (b) Plasma configuration 52 4.7 Plasma length with respect to laser energy. 53 5.1 Typical signals collected by Langmuir probe as a function of positive bias voltage. 5.2 56 Typical signals collected by Langmuir probe as a function of negative bias voltage. 57 5.3 I-V characteristic curve of Langmuir probe. 60 5.4 Linear part of the I-V characteristic curve. 61 6.1 Typical acoustic shockwave signal detected at different voltage at a distance of 1.87 mm. 6.2 Typical acoustic shockwave signal detected at different voltage at a distance of 2.56 mm. 6.3 65 Typical acoustic shockwave signal detected at different voltage at a distance of 5.76 mm. 6.4 64 66 Acoustic shockwave pressure as a function of laser energy at three different distances. 69 xv 6.5 Acoustic shockwave pressure plotted against various distances. 7.1 Damage induced by a single laser pulse on PMMA (Magnification of 10x). 7.2 75 Damaged area as a function of laser energy for different number of pulses. 7.6 74 Target irradiated at different number of pulses at laser energy of 93.0 mJ. (Magnification of 10x). 7.5 73 Effects on PMMA which has been exposed to 10 pulses of Q-switched Nd:YAG laser (Magnification of 10x). 7.4 72 Damage induced by 5 pulses of Q-Switched laser on PMMA (Magnification of 10x). 7.3 69 78 Damaged area versus number of laser pulses taken at laser energy of 93.0 mJ. 78 xvi LIST OF SYMBOLS a - Radius of the aperture Cp - Specific heat d,D - Distance E - Laser energy Ea - Absorbed laser energy Eo - Electric field strength f - Focal length I - Current Is - Electron saturation current L - Lens M - Magnification factor ne - Electron density P - Pressure Pd - Power density Rb - Radius of the optical beam RL - Resistor Rt - Acoustic source radius r - Radius of the beam spot Te - Electron temperature V - Voltage amplitude V - Optical absorbed volume Vf - Floating potential Vs - Plasma potential Vpp - Probe potential W - Laser power xvii w - Beam radius w0 - Beam waist z - Depth of focus z0 - Focal point zR - Rayleigh region - Absorption coefficient of the liquid â - Thermal expansion coefficient ∆T - Temperature rise - Wavelength eff - Penetration coefficient v - Speed of sound - Density of the liquid xviii LIST OF APPENDICES APPENDIX TITLE A Measurement of laser beam parameters B Refractive index of natrium chloride solution as a PAGE 89 function of its concentration expressed in percentage [58]. 93 C Main properties of PMMA [84]. 94 D Table 1: Q-switched Nd:YAG laser energy upon oscillator voltage. E Dimension of 2013V High Sensitivity Microphone [65]. F 96 Calculation of the pressure of the acoustic shockwave (Chapter 6, Section 6.2) G 95 97 Calculation of damage threshold of PMMA (Chapter 7, Section 7.2) 98