Contributors |
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ix | |
Preface |
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xi | |
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1 Phase retrieval methods applied to coherent imaging |
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1 | (62) |
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1 Introduction to the imaging of a non-crystalline object and the phase problem |
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1 | (4) |
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3 | (1) |
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4 | (1) |
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1.3 Imaging of individual biological macromolecules: radiation damage |
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5 | (1) |
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2 Survey of interferometric/coherent imaging schemes |
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5 | (15) |
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2.1 Gabor in-line holography and point projection microscopy |
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5 | (3) |
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2.2 Coherent diffractive imaging (CDI) |
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8 | (7) |
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2.3 Fourier transform holography (FTH) |
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15 | (2) |
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2.4 Fresnel coherent diffractive imaging (FCDI) |
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17 | (2) |
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19 | (1) |
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3 Development of in-line holography and CDI with low-energy electrons |
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20 | (22) |
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20 | (3) |
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3.2 Theory of formation and reconstruction of in-line holograms |
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23 | (12) |
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3.3 Gabor in-line holography with low-energy electrons |
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35 | (5) |
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3.4 CDI with low-energy electrons |
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40 | (2) |
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42 | (21) |
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4.1 Volumetric 3D deconvolution |
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42 | (4) |
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4.2 Merging holography and coherent diffractive imaging, HCDI |
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46 | (1) |
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47 | (6) |
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53 | (1) |
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54 | (9) |
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2 X-ray phase-contrast imaging: a broad overview of some fundamentals |
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63 | (96) |
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64 | (3) |
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67 | (26) |
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2.1 Vector vacuum wave equations |
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67 | (2) |
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2.2 Scalar vacuum wave equation and complex wave-function |
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69 | (1) |
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2.3 Physical meaning of intensity and phase |
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69 | (2) |
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2.4 Fully coherent fields |
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71 | (2) |
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2.5 Coherent paraxial fields |
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73 | (2) |
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2.6 Projection approximation and absorption contrast |
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75 | (3) |
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2.7 Fresnel diffraction and propagation-based phase contrast |
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78 | (4) |
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2.8 Validity of the projection approximation |
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82 | (4) |
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2.9 Describing the propagation through thick samples: multi-slice approach |
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86 | (6) |
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2.10 Fresnel scaling theorem |
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92 | (1) |
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3 The forward problem: modeling X-ray phase-contrast images |
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93 | (33) |
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3.1 Transport-of-intensity equation |
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95 | (2) |
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3.2 Arbitrary imaging systems |
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97 | (1) |
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3.3 Arbitrary linear imaging systems |
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98 | (3) |
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3.4 Arbitrary linear shift-invariant imaging systems |
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101 | (1) |
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3.5 Transfer function formalism |
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102 | (4) |
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106 | (1) |
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3.7 Introducing partial coherence: source blurring |
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107 | (2) |
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109 | (3) |
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3.9 Modeling a wide class of partially-coherent X-ray phase-contrast imaging systems |
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112 | (8) |
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3.10 Fokker-Planck equation for paraxial X-ray optics |
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120 | (6) |
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4 The inverse problem: retrieving sample information from X-ray phase-contrast images |
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126 | (33) |
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129 | (7) |
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4.2 Phase retrieval methods based on refraction |
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136 | (3) |
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4.3 One method for X-ray phase-contrast imaging employing free-space propagation |
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139 | (2) |
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4.4 Phase-gradient methods |
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141 | (6) |
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147 | (1) |
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148 | (11) |
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3 Graphyne and borophene as nanoscopic materials for electronics -- with review of the physics |
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159 | (22) |
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159 | (1) |
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2 Formulation of the bandstructure equations in a tractable tight-binding format |
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160 | (6) |
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3 Eigenenergies, Fermi velocities, overlap & hopping integrals |
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166 | (4) |
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4 Eigenvectors based upon 2-spinors |
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170 | (4) |
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5 Eigenvectors based upon 4-spinors |
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174 | (3) |
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6 Conclusions and future outlook |
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177 | (4) |
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179 | (2) |
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4 The ESAB effect and the physical meaning of the vector potential |
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181 | (14) |
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181 | (2) |
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183 | (3) |
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186 | (1) |
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187 | (5) |
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4.1 Quantitative aspects of the ESAB effect |
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187 | (2) |
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4.2 Classical approximation |
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189 | (1) |
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4.3 Single electron interferometry |
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189 | (1) |
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4.4 Locality or pantopia? |
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190 | (2) |
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192 | (3) |
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192 | (3) |
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5 Electron image plane off-axis holography of atomic structures |
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195 | (65) |
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195 | (8) |
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2 Principles of off-axis image plane electron holography |
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203 | (8) |
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2.1 Taking the electron hologram |
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203 | (3) |
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2.2 Reconstruction of the electron image wave |
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206 | (5) |
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3 Performance of image plane electron holography |
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211 | (18) |
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3.1 Effect of restricted coherence |
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211 | (5) |
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216 | (1) |
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3.3 Information transfer capacity |
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217 | (1) |
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3.4 Lateral resolution and field of view |
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218 | (3) |
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3.5 Artefacts in the recorded wave |
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221 | (3) |
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3.6 Problems of recording an electron hologram |
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224 | (5) |
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4 Influence of the lens aberrations in the high-resolution domain |
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229 | (10) |
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230 | (6) |
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4.2 Incoherent aberrations |
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236 | (3) |
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5 Reconstruction of the image wave and correction of aberrations |
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239 | (1) |
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6 Experimental realization of holography of atomic structures |
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240 | (13) |
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240 | (4) |
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244 | (1) |
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6.3 First results with atomic structures of weak objects |
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244 | (4) |
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6.4 Holographic imaging of strong objects |
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248 | (2) |
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6.5 Numerical reconstruction, including a preliminary correction of aberrations |
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250 | (3) |
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253 | (3) |
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256 | (4) |
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258 | (1) |
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259 | (1) |
Further reading |
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260 | (1) |
Index |
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261 | |