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X-ray wave-fields in free space |
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1 | (63) |
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Vacuum wave equations for electromagnetic fields |
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2 | (3) |
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Spectral decomposition and the analytic signal |
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5 | (1) |
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Angular spectrum of plane waves |
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6 | (4) |
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10 | (6) |
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11 | (1) |
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12 | (4) |
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16 | (2) |
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Kirchhoff and Rayleigh-Sommerfeld diffraction theory |
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18 | (8) |
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Kirchhoff diffraction integral |
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18 | (5) |
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Rayleigh-Sommerfeld diffraction integrals |
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23 | (3) |
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Partially coherent fields |
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26 | (11) |
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Random variables and random processes |
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26 | (3) |
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Intermediate states of coherence |
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29 | (1) |
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30 | (6) |
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36 | (1) |
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The mutual coherence function |
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37 | (9) |
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Propagation of two-point correlation functions |
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46 | (13) |
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47 | (3) |
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50 | (3) |
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Green function formulation |
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53 | (5) |
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Van Cittert--Zernike theorem |
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58 | (1) |
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Higher-order correlation functions |
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59 | (1) |
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60 | (4) |
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X-ray interactions with matter |
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64 | (72) |
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Wave equations in the presence of scatterers |
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65 | (6) |
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The projection approximation |
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71 | (6) |
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Point scatterers and the outgoing Green function |
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77 | (6) |
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First method for obtaining Green function |
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79 | (1) |
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Second method for obtaining Green function |
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80 | (3) |
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Integral-equation formulation of scattering |
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83 | (1) |
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First Born approximation for kinematical scattering |
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84 | (13) |
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Fraunhofer and first Born approximations |
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86 | (3) |
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Angular spectrum and first Born approximation |
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89 | (1) |
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90 | (7) |
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Born series and dynamical scattering |
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97 | (2) |
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99 | (2) |
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Eikonal approximation and geometrical optics |
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101 | (7) |
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Scattering, refractive index, and electron density |
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108 | (7) |
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Inelastic scattering and absorption |
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115 | (7) |
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115 | (4) |
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Photoelectric absorption and fluorescence |
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119 | (3) |
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Information content of scattered fields |
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122 | (8) |
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Scattered monochromatic fields |
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122 | (5) |
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Scattered polychromatic fields |
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127 | (3) |
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130 | (6) |
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X-ray sources, optical elements, and detectors |
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136 | (92) |
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137 | (15) |
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137 | (1) |
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Fixed-anode and rotating-anode sources |
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138 | (1) |
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139 | (6) |
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145 | (4) |
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Energy-recovering linear accelerators |
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149 | (2) |
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151 | (1) |
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Diffractive optical elements |
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152 | (34) |
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152 | (8) |
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160 | (9) |
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169 | (7) |
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176 | (2) |
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Crystal beam-splitters and interferometers |
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178 | (5) |
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Bragg Fresnel crystal optics |
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183 | (2) |
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185 | (1) |
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Reflective optical elements |
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186 | (9) |
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X-ray reflection from surfaces |
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186 | (5) |
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191 | (1) |
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192 | (1) |
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193 | (2) |
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Refractive optical elements |
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195 | (8) |
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195 | (3) |
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Compound refractive lenses |
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198 | (5) |
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203 | (2) |
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205 | (11) |
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Critical detector parameters |
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205 | (3) |
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208 | (4) |
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212 | (4) |
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216 | (12) |
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228 | (113) |
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Operator theory of imaging |
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230 | (10) |
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Imaging using coherent fields |
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230 | (7) |
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Imaging using partially coherent fields |
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237 | (1) |
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238 | (2) |
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240 | (14) |
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Talbot effect for monochromatic fields |
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242 | (4) |
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Talbot effect for polychromatic fields |
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246 | (3) |
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Montgomery effect for monochromatic fields |
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249 | (4) |
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Montgomery effect for polychromatic fields |
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253 | (1) |
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254 | (7) |
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254 | (4) |
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258 | (1) |
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258 | (3) |
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261 | (28) |
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263 | (5) |
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Differential interference contrast |
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268 | (2) |
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Analyser-based phase contrast |
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270 | (8) |
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Propagation-based phase contrast |
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278 | (6) |
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284 | (5) |
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289 | (21) |
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Gerchberg-Saxton algorithm and extensions |
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291 | (4) |
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The transport-of-intensity equation |
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295 | (6) |
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One-dimensional phase retrieval |
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301 | (9) |
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310 | (12) |
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Bonse-Hart interferometer |
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311 | (4) |
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315 | (3) |
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318 | (3) |
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Other means for coherence measurement |
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321 | (1) |
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Virtual optics for coherent X-ray imaging |
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322 | (5) |
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General remarks on virtual optics |
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322 | (2) |
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Example of virtual optics |
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324 | (3) |
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327 | (14) |
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341 | (52) |
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Vortices in complex scalar fields |
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342 | (1) |
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342 | (4) |
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Nodal lines are vortex cores |
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346 | (1) |
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Polynomial vortex solutions to d'Alembert equation |
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347 | (4) |
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351 | (6) |
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Vortex nucleation and annihilation |
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351 | (2) |
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Stability with respect to perturbations |
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353 | (1) |
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Vortex interaction with a background field |
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354 | (3) |
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Means of generating wave-field vortices |
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357 | (23) |
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Interference of three coherent plane waves |
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357 | (6) |
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363 | (7) |
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370 | (3) |
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Spontaneous vortex formation |
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373 | (7) |
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Domain walls and other topological phase defects |
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380 | (2) |
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Caustics and the singularity hierarchy |
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382 | (5) |
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387 | (6) |
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A. Review of Fourier analysis |
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393 | (4) |
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Fourier transforms in one and two dimensions |
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393 | (1) |
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394 | (1) |
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395 | (1) |
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Fourier derivative theorem |
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395 | (1) |
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Sifting property of Dirac delta |
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396 | (1) |
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B. Fresnel scaling theorem |
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397 | (4) |
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C. Reciprocity theorem for monochromatic scalar fields |
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401 | (4) |
Index |
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405 | |