1 Introduction |
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1 | (12) |
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1.1 Crystalline Undulator: Basic Ideas |
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1 | (3) |
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1.2 Why a Crystalline Undulator? |
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4 | (3) |
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7 | (6) |
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8 | (1) |
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1.3.2 Methods of Preparation of CU |
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9 | (4) |
2 Related Phenomena |
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13 | (34) |
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2.1 Radiation from Relativistic Charges: Classical, Quantum and Quasiclassical Approaches |
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13 | (5) |
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2.1.1 Classical Description |
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14 | (1) |
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2.1.2 Quantum Description |
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15 | (1) |
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2.1.3 Quasi-Classical Description of Radiation Emission |
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16 | (2) |
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2.2 UR from an Ideal Planar Undulator |
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18 | (8) |
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18 | (4) |
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2.2.2 Spectral Distribution in the Forward Direction |
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22 | (2) |
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2.2.3 Spectral Distribution Integrated Over the Emission Angles |
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24 | (2) |
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2.3 Channeling in Straight Crystals |
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26 | (9) |
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2.3.1 Crystallographic Axes and Planes |
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27 | (1) |
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2.3.2 Continuous Potential Model |
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28 | (4) |
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2.3.3 Positron Versus Electron Channeling |
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32 | (2) |
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2.3.4 Classical Versus Quantum Description |
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34 | (1) |
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2.4 Channeling in Bent Crystals |
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35 | (3) |
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2.5 Radiative Processes in Crystals |
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38 | (9) |
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38 | (4) |
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2.5.2 ChR in Straight and Bent Crystals |
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42 | (5) |
3 Schemes for Periodic Bending of Crystals |
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47 | (26) |
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3.1 Periodic Bending with AW |
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48 | (3) |
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3.2 Growing of Crystals with PBCh |
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51 | (3) |
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3.3 Periodic Surface Deformations |
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54 | (4) |
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3.3.1 Diamond-Blade Scratching |
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54 | (1) |
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3.3.2 Laser-Ablation Technique |
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55 | (2) |
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3.3.3 Tensile Strips Deposition |
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57 | (1) |
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3.4 Imperfectness of Crystalline Structure Bending |
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58 | (15) |
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3.4.1 Introductory Remarks |
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59 | (1) |
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3.4.2 Periodic Deformations in Bulk: Model and Formalism |
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60 | (5) |
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3.4.3 Periodic Deformations in Bulk: Numerical Results |
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65 | (8) |
4 Feasibility of a Positron-Based Crystalline Undulator |
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73 | (40) |
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4.1 Channeling Condition in PBCr |
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73 | (2) |
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4.2 Large and Small Amplitude Regimes |
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75 | (4) |
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4.2.1 Influence of Channeling Oscillations on the CU Radiation |
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77 | (2) |
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4.3 Dechanneling and Photon Attenuation |
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79 | (16) |
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4.3.1 Dechanneling Process |
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80 | (8) |
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88 | (1) |
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4.3.3 UR in Presence of Dechanneling and Photon Attenuation |
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88 | (7) |
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95 | (9) |
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4.4.1 Quasi-Classical Formalism for the Radiative Energy Loss in CU |
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95 | (4) |
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4.4.2 Calculation of Radiative Energy Losses in PBCr |
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99 | (2) |
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4.4.3 Undulator Effect in the High-Energy Regime |
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101 | (3) |
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4.5 Feasibility of a Positron-Based CU: Summary of the Necessary Conditions |
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104 | (4) |
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4.6 Feasibility of a Positron-Based CU: Historical Survey |
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108 | (5) |
5 Positron-Based CU: Illustrative Material |
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113 | (40) |
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5.1 Brief Description of the Computer Algorithms |
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114 | (2) |
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5.1.1 Computation of Positron Trajectories in PBCr |
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114 | (1) |
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5.1.2 Computation of Characteristics of the Emitted Radiation |
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115 | (1) |
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5.1.3 Test Calculation of the ChR Spectrum |
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116 | (1) |
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5.2 CUR for 0.5 GeV Positrons |
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116 | (5) |
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5.3 CUR for 5 GeV Positrons |
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121 | (5) |
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5.4 Estimation of Brilliance of CUR |
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126 | (7) |
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5.4.1 Optimal Length of CU |
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127 | (1) |
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5.4.2 Numerical Results for Brilliance |
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128 | (5) |
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5.5 Emission from Imperfect CU |
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133 | (8) |
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5.5.1 Emission from CU with a Varied Amplitude: Formalism |
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133 | (2) |
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5.5.2 Averaged Spectra: Numerical Results |
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135 | (5) |
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140 | (1) |
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5.6 Channeling of Ultra-Relativistic Projectiles Simulated with MBN Explorer |
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141 | (12) |
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5.6.1 Description of the Algorithm |
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143 | (3) |
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5.6.2 Positron Channeling in Si(110) and Si(111) |
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146 | (2) |
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5.6.3 ChR and CUR by Positrons in Straight and Periodically Bent Si(110) and Si(111) Channels |
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148 | (5) |
6 CUs for Electrons and Heavy Particles |
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153 | (38) |
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153 | (23) |
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6.1.1 Electron-Based Versus Positron-Based CU |
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153 | (5) |
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6.1.2 Electron-Based CU: High-Energy Regime |
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158 | (5) |
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6.1.3 Electron-Based CU: Low-Energy Regime |
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163 | (13) |
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6.2 Crystalline Undulators for Heavy Projectiles |
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176 | (15) |
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6.2.1 Dechanneling and Energy Losses |
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176 | (2) |
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6.2.2 Photon Attenuation, Channeling Condition and Large-Amplitude Regime |
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178 | (13) |
7 Experimental Studies of CUR |
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191 | (16) |
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7.1 Experiments with Positrons |
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192 | (8) |
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7.1.1 Experiments at IHEP |
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192 | (5) |
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7.1.2 Planned Experiments at CERN and INFN |
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197 | (1) |
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7.1.3 Perspectives of the Experiments at DANE BTF |
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198 | (2) |
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7.2 Experiments with Electrons at MAMI |
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200 | (7) |
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7.2.1 Experiments with 855 and 1,508 MeV Electrons |
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200 | (3) |
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7.2.2 Experiments with E = 195-855 MeV Electrons |
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203 | (4) |
8 Stimulated Emission from CU |
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207 | (30) |
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207 | (2) |
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8.2 'Naive' Approach to the CU-Based Gamma-Laser |
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209 | (11) |
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8.2.1 Crude Estimate of the Gamma-Laser Gain |
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210 | (3) |
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8.2.2 One-Crystal Gamma-Ray Amplifier |
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213 | (7) |
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220 | (4) |
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8.3.1 Multicascade Amplifier |
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223 | (1) |
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8.4 Beam Demodulation in CU |
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224 | (9) |
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8.4.1 Diffusion Equation and Its Solution |
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225 | (4) |
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8.4.2 Demodulation Length |
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229 | (4) |
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233 | (4) |
9 Conclusion |
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237 | (4) |
Appendix A: Motion in Periodically Bent Channel |
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241 | (10) |
Appendix B: Estimation of the Undulator Parameter Due to Channeling Oscillations |
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251 | (2) |
Appendix C: Poschl-Teller Potential |
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253 | (6) |
Appendix D: Interplanar Potential Within the Moliere Approximation |
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259 | (4) |
Appendix E: Classical Scattering of an Ultra-Relativistic Projectile from a "Snapshot" Atom |
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263 | (6) |
References |
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269 | (14) |
Index |
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283 | |