| Preface | 7 |
|---|
| Acknowledgement | 9 |
|---|
| Contents | 10 |
|---|
| 1 Introduction | 13 |
|---|
| 1.1 Mature Physics and New Development | 13 |
| 1.2 Phase Effect of a Laser Pulse Propagating in an Optical Medium | 15 |
| 1.3 Multiphoton and Tunnel Ionization | 16 |
| 1.4 Optical Breakdown | 18 |
| 1.5 Intense Femtosecond Laser Beam Attenuation | 20 |
| 2 Filamentation Physics | 22 |
|---|
| 2.1 Some Experimental Observations | 22 |
| 2.2 Experimental Definition of a Filament by Burn Paper | 26 |
| 2.3 Single Filamentation Physics | 27 |
| 2.3.1 Slice-by-Slice Self-Focusing | 27 |
| 2.3.2 Intensity Clamping | 32 |
| 2.3.3 Is There Optical Breakdown During Filamentation? | 34 |
| 2.3.4 Effect of External Focusing | 36 |
| 2.3.5 Background Energy Reservoir | 37 |
| 2.3.6 Self-Spatial Mode Filtering | 42 |
| 2.3.7 Self-Phase Modulation, Self-Steepening and White Light Laser (Supercontinuum) | 43 |
| 2.3.8 Conical Emission | 47 |
| 2.3.9 Ring Structure at the Pump Wavelength | 49 |
| 2.3.10 Self-Pulse Compression | 49 |
| 2.3.11 X-wave | 51 |
| 2.4 Full Evolution of a Single Filament | 51 |
| 2.5 Maturity of a Filament | 57 |
| 2.6 Filamentation Without Ionization | 57 |
| 2.7 What Is a Filament? | 58 |
| 3 Theory of Single Filamentation | 60 |
|---|
| 3.1 Introduction | 60 |
| 3.2 Filamentation in Air | 60 |
| 3.3 Numerical Solution of Filamentation in Air | 62 |
| 3.4 Filamentation in Condensed Matter | 66 |
| 3.5 x-Wave and Conical Emission1 | 66 |
| 4 Multiple Filamentation | 71 |
|---|
| 4.1 Introduction | 71 |
| 4.2 Multiple Filamentation: Experimental Observation | 71 |
| 4.3 Interference and Competition of Multiple Filaments | 74 |
| 4.4 Theory of Multiple Filamentation | 77 |
| 4.5 The Challenge of Long Distance Filamentation | 78 |
| 4.6 Long Distance Multiple Filamentation Control | 78 |
| 5 Filamentation Nonlinear Optics: General | 81 |
|---|
| 5.1 Self-Actions | 81 |
| 5.2 Self-Remote Projection in Air | 82 |
| 5.3 Self-Pulse Compression | 83 |
| 5.4 Exploitations of the Self-Actions | 84 |
| 6 Filamentation Nonlinear Optics: Third Harmonic Generation and Four-Wave-Mixing Inside a Filament | 87 |
|---|
| 6.1 Introduction | 87 |
| 6.2 Third Harmonic Generation Inside a Filament in Air (Theoretical Analysis) | 87 |
| 6.3 Experiment on THG in Air | 93 |
| 6.4 Conical Emission and Superbroadening of the Third Harmonic in Air | 95 |
| 6.5 Efficient Tunable Few Cycle Visible Pulse Generation Through Four-Wave-Mixing Inside the Filament Core | 95 |
| 6.6 Self-Group-Phase Locking During Four-Wave-Mixing Inside a Filament | 98 |
| 6.7 Derivation of Equation ( 6.1 ) | 99 |
| 7 Remote Sensing Using Filamentation | 102 |
|---|
| 7.1 Introduction | 102 |
| 7.2 Remote Control of Filamentation | 103 |
| 7.3 Physical Considerations | 105 |
| 7.4 Detection of Chemical and Biological Agents in Air | 106 |
| 7.4.1 Molecules in the Gas/Vapor Phase | 106 |
| 7.4.2 Biological Targets | 108 |
| 7.4.3 Metallic Targets | 109 |
| 7.4.4 Water Aerosols Containing Metallic Salts | 109 |
| 7.5 Conclusion and Looking Ahead | 110 |
| 8 Challenges Ahead | 111 |
|---|
| 8.1 Multiple Filamentation | 112 |
| 8.1.1 Why Does a Large Diameter Beam Diverge Slowly Over Long Distances When There Is Multiple Filamentation? | 112 |
| 8.1.2 Filament Collaboration | 112 |
| 8.1.3 Optimum Wavelength to Produce the Broadest and Strongest White Light | 113 |
| 8.1.4 Filament Control Using a Deformable Mirror | 113 |
| 8.2 Time-Resolved Excitation of Superexcited States of Molecules | 114 |
| 8.3 Ultrafast Birefringence | 117 |
| 8.3.1 Filament-Induced Birefringence | 118 |
| 8.3.2 Excitation of Molecular Rotational Wave Packets in Air and Polarization Separation | 122 |
| 8.3.3 Just the Beginning of Filament-Induced Birefringence | 126 |
| References | 127 |
|---|
| Index | 133 |