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Quantum imaging

Author: Mikhail I Kolobov
Publisher: New York : Springer, 2007.
Edition/Format:   Print book : EnglishView all editions and formats
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This book gives an overview of the latest progress in the domain of quantum imaging. It reflects three and a half years of research carried out by leading specialists in the area within the Quantum  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Mikhail I Kolobov
ISBN: 0387338187 9780387338187
OCLC Number: 74269940
Description: xiv, 316 pages : illustrations (some color) ; 25 cm
Contents: 1 Quantum Imaging with Continuous Variables / Luigi A. Lugiato, Alessandra Gatti, Enrico Brambilla 1 --
1.2 The Concepts of Squeezing and of Entanglement with Continuous Variables, and Their Intrinsic Connection 2 --
1.2.1 Prototype Model I 2 --
1.2.2 Prototype Model II 3 --
1.3 Intrinsic Relation Between Squeezing and Entanglement 5 --
1.4 Spatially Multimode Parametric Down-Conversion: Some Topics in Quantum Imaging 7 --
1.4.1 Spatially Multimode Versus Single-Mode Squeezing: Optical Parametric Down-Conversion of Type-I 7 --
1.4.2 Near-Field/Far-Field Duality in Type-I OPAs 8 --
1.4.3 Detection of Weak Amplitude or Phase Objects Beyond the Standard Quantum Limit 11 --
1.4.4 Image Amplification by Parametric Down-Conversion (Type-I) 12 --
2 Spatial Entanglement in Optical Parametric Down-Conversion / Alessandra Gatti, Enrico Brambilla, Ottavia Jedrkiewicz, Luigi A. Lugiato 17 --
2.2 Simultaneous Near-Field and Far-Field Spatial Quantum Correlation in the High-Gain Regime of Type-II Parametric Down-Conversion 17 --
2.2.1 Propagation Equations for the Signal-Idler Fields and Input-Output Relations 17 --
2.2.2 Near- and Far-Field Correlations in the Stationary and Plane-Wave Pump Approximation 22 --
2.2.3 Near- and Far-Field Correlations: Numerical Results in the General Case 25 --
2.2.4 Far-Field Correlations 25 --
2.2.5 Near-Field Correlations 26 --
2.3 Detection of Sub-Shot-Noise Spatial Correlations in High-Gain Parametric Down-Conversion 28 --
2.3.1 Detection of the Spatial Features of the Far-Field PDC Radiation by Means of the CCD 29 --
2.3.2 Experimental Set-Up for Spatial-Correlations Measurements 30 --
2.3.3 Detection of Quantum Spatial Correlations: Spatial Analogue of Photon Antibunching in Time 33 --
2.4 Multiphoton, Multimode Polarization Entanglement in Parametric Down-Conversion 38 --
3 Quantum Imaging in the Continuous-Wave Regime Using Degenerate Optical Cavities / Agnes Maitre, Nicolas Treps, Claude Fabre 47 --
3.2 Classical Imaging Properties of Degenerate Optical Cavities 47 --
3.2.2 Cavity Round-Trip Transform 48 --
3.2.3 Image Transmission Through an Optical Cavity 50 --
3.3 Theory of Optical Parametric Oscillation in a Degenerate Cavity 52 --
3.3.1 Classical Behavior 52 --
3.3.2 Quantum Properties 54 --
3.4 Experimental Results 57 --
3.4.1 Classical Effects: Observation of Optical Patterns 58 --
3.4.2 Observation of Quantum Correlations in Images 59 --
4 Quantum Imaging by Synthesis of Multimode Quantum Light / Nicolas Treps, Hans A. Bachor, Ping Koy Lam, Claude Fabre 67 --
4.2 Quantum Noise in an Arraylike Detection 68 --
4.3 Implementing a Sub-Shot-Noise Array Detection 70 --
4.4 The Quantum Laser Pointer 71 --
4.5 Optical Read-Out 73 --
4.6 Measuring a Signal in an Optimal Way 76 --
5 Ghost Imaging / Alessandra Gatti, Enrico Brambilla, Morten Bache, Luigi A. Lugiato 79 --
5.2 General Theory of Ghost Imaging with Entangled Beams 81 --
5.2.1 Specific Imaging Schemes 83 --
5.3 Wave-Particle Aspect 85 --
5.4 Spatial Average in Ghost Diffraction: Increase of Spatial Bandwidth and of Speed in Retrieval 87 --
5.5 Ghost Imaging with Homodyne Detection 88 --
5.6 Debate: Is Quantum Entanglement Really Necessary for Ghost Imaging? 90 --
5.7 Ghost Imaging by Split Thermallike Beams: Theory [15-17] 92 --
5.7.1 Analogy Between Thermal and Entangled Beams in Ghost Imaging [15-17] 93 --
5.7.2 Resolution Aspects 95 --
5.7.3 Relations with the Classic Hanburry-Brown and Twiss Correlation Technique [37] 95 --
5.7.4 Correlation Aspects 96 --
5.7.5 Visibility Aspects 98 --
5.7.6 Some Historical Considerations 100 --
5.7.7 Rule-of-Thumb Comparison Between Entangled and "Thermal" Ghost Imaging 100 --
5.8 Ghost Imaging with Split Thermal Beams: Experiment 101 --
5.8.1 High-Resolution Ghost Imaging [23] 102 --
5.8.2 The Ghost Diffraction Experiment: Complementarity Between Coherence and Correlation [24] 107 --
6 Quantum Limits of Optical Super-Resolution / Mikhail I. Kolobov 113 --
6.1 Super-Resolution in Classical Optics 113 --
6.2 Quantum Theory of Super-Resolution 115 --
6.2.1 Quantum Theory of Optical Imaging 115 --
6.2.2 Quantum Theory of Optical Fourier Microscopy 119 --
6.3 Quantum Limits in Reconstruction of Optical Objects 121 --
6.3.1 Reconstruction of Classical Noise-Free Objects 121 --
6.3.2 Reconstruction of Objects with Quantum Fluctuations 126 --
6.3.3 Point-Spread Function for Super-Resolving Reconstruction of Objects 128 --
6.4 Squeezed-Light Source for Microscopy with Super-Resolution 132 --
7 Noiseless Amplification of Optical Images / Mikhail I. Kolobov, Eric Lantz 141 --
7.2 Traveling-Wave Scheme for Amplification of Images 142 --
7.3 Optimum Phase Matching for Parametric Amplification 145 --
7.4 Quantum Fluctuations in the Amplified Image and Conditions for Noiseless Amplification 149 --
7.5 Experimental Demonstration of Temporally Noiseless Image Amplification 155 --
7.6 Experiment on Spatially Noiseless Amplification of Images 158 --
8 Optical Image Processing in Second-Harmonic Generation / Pierre Scotto, Pere Colet, Adrian Jacobo, Maxi San Miguel 167 --
8.2 Image Processing in Second-Harmonic Generation at a Classical Level 168 --
8.2.1 Frequency Up-Conversion of an Image 171 --
8.2.2 Contrast Enhancement and Contour Recognition 172 --
8.2.3 Noise Filtering Properties 174 --
8.3 Quantum Image Processing in Type-I Second-Harmonic Generation 175 --
8.3.1 Field-Operator Dynamics 176 --
8.3.2 Quantum Image Processing 181 --
8.4 Quantum Image Processing in Type-II Second-Harmonic Generation 188 --
8.4.1 Propagation Equations 189 --
8.4.2 Linearly y-Polarized Pump: Frequency Addition Regime 192 --
8.4.3 45[Characters not reproducible]-Linearly Polarized Pump: Noiseless Up-Conversion and Amplification 193 --
9 Transverse Distribution of Quantum Fluctuations in Free-Space Spatial Solitons / Eric Lantz, Nicolas Treys, Claude Fabre 201 --
9.2 General Method 202 --
9.2.1 Propagation Equations for the Fluctuations 202 --
9.2.2 Green's Function Approach 203 --
9.2.3 Correlations Between the Photocurrents 204 --
9.3 Spatial Solitons: Mean Values 205 --
9.3.1 X[superscript (3)] Scalar Spatial Soliton 205 --
9.3.2 X[superscript (3)] Vector Spatial Soliton 206 --
9.3.3 X[superscript (2)] Spatial Soliton 206 --
9.4 Squeezing on the Total Beam 208 --
9.4.1 X[superscript (3)] Scalar Spatial Soliton 208 --
9.4.2 X[superscript (3)] Vector Soliton: Total Beam Squeezing and Correlation Between Polarizations 208 --
9.4.3 X[superscript (3)] Spatial Solitons 210 --
9.5 Local Quantum Fluctuations 211 --
9.5.1 X[superscript (3)] Scalar Spatial Soliton 211 --
9.5.2 Intensity Squeezing by Spatial Filtering 214 --
9.5.3 X[superscript (3)] Vector Soliton 215 --
9.6 Quantum Correlations Between Field Quadratures at Different Points 216 --
9.6.1 X[superscript (3)] Scalar Spatial Soliton 216 --
9.6.2 Vector Solitons 216 --
9.6.3 X[superscript (2)] Spatial Solitons 217 --
10 Quantum Fluctuations in Cavity Solitons / Gian-Luca Oppo, John Jeffers 221 --
10.2 Cavity Solitons in Degenerate Optical Parametric Oscillators 222 --
10.2.1 Spatial Equations and Domain Walls with Oscillatory Tails 223 --
10.2.2 Cavity Solitons Formed by Locked Domain Walls 223 --
10.3 Quantum Fluctuations in DOPO 226 --
10.3.1 Wigner Representation 226 --
10.3.2 Q-Representation 227 --
10.4 Arrays of CS Induced by Quantum Fluctuations 227 --
10.5 Quantum Features in the Near and the Far Field of CS 231 --
10.5.1 Quantum Correlations of CS in the Near Field 231 --
10.5.2 Quantum Correlations of CS in the Far Field 233 --
11 Quantum Holographic Teleportation and Dense Coding of Optical Images / Ivan V. Sokolov 239 --
11.2 Continuous-Variable Squeezing and Entanglement for Spatially Multimode Light Fields 240 --
11.2.1 Spatial Scales of Quantum Correlations in Squeezed Light 240 --
11.2.2 Spatially Multimode Entanglement 243 --
11.3 Quantum Holographic Teleportation of Optical Images 244 --
11.3.1 Basics of Quantum Teleportation 245 --
11.3.2 Optical Scheme for Quantum Teleportation of Images 246 --
11.3.3 Quantum Statistics of the Teleported Field 247 --
11.3.4 Global and Reduced Fidelity of Holographic Teleportation 254 --
11.3.5 Quantum Holographic Teleportation and Holography 259 --
11.4 Quantum Dense Coding of Optical Images 260 --
11.4.1 Basics of Quantum Dense Coding 260 --
11.4.2 Optical Scheme for Quantum Dense Coding of Images 261 --
11.4.3 Shannon Mutual Information for Images 264 --
11.4.4 Channel Capacity 266 --
11.5 Conclusions and Outlook 270 --
A Properties of Spatially Multimode Squeezing 271 --
B Homodyne Detection with Spatial Resolution 273 --
12 Orbital Angular Momentum of Light / Stephen M. Barnett, Roberta Zambrini 277 --
12.2 Angular Momentum in Electromagnetism 278 --
12.2.1 Spin and Orbital Angular Momentum 280 --
12.2.2 Angular Momentum in Paraxial Optics 281 --
12.2.3 Mechanical Effects 283 --
12.3 Beams Carrying Orbital Angular Momentum 284 --
12.3.1 Phase Singularities and Spatial Properties 284 --
12.3.2 Laguerre-Gaussian and Bessel Beams 284 --
12.3.3 Generation and Conversion 286 --
12.3.4 Other Field Spatial Profiles 289 --
12.3.5 Fractional Orbital Angular Momentum 290 --
12.4 Quantum Optical Angular Momentum 290 --
12.4.1 States of Spin and Orbital Angular Momentum 290 --
12.4.2 Measuring Orbital Angular Momentum 291 --
12.5 Angle and Angular Momentum 292 --
12.5.1 Uncertainty Relation for Angle and Angular Momentum 292 --
12.5.2 Intelligent and Minimum Uncertainty Product States 294 --
12.5.3 Communications 297.
Responsibility: Mikhail I. Kolobov, editor.
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