## Advances in Imaging and Electron Physics
This series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains. * Contributions from leading international scholars and industry experts * Discusses hot topic areas and presents current and future research trends * Invaluable reference and guide for physicists, engineers and mathematicians |

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### Contents

Chapter 2 Superluminal Subluminal and Negative Velocities in FreeSpace Electromagnetic Propagation | 47 |

The Next Step in Electron Microscopy | 73 |

Chapter 4 Methods for Vectorial Analysis and Imaging in HighResolution Laser Microscopy | 131 |

Chapter 5 Image Hierarchy in Gaussian Scale Space | 175 |

Chapter 6 The Theory of the Boundary Diffraction Wave | 265 |

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### Common terms and phrases

2D Fourier transform aberration correction aberration-corrected amplitude analysis angular annihilation point antidirectional applications atomic calculation Cc correction chromatic aberration clusters coefficients convolution coordinates corrector corresponding critical scale CTEM deﬁned deﬁnition degree of coherence density derivative diffracted waves diffraction integrals edge eigenvalues electromagnetic energy ﬁeld Figure figure-flow curve ﬁgure-ﬂow curves ﬁrst Fourier series Fourier transform Gaussian beam Gaussian scale space gradient Haider Hankel transform Helmholtz equation hierarchical high-resolution Iijima Journal Kabius laser Lax series lens linear local maximum Marrocco mathematical maximum methods monochromator Optics phase point cloud propagation pseudograph radially polarized radially symmetric function resolution saddle points scale-space image scale-space tree scattering Science Section segments shift shows signiﬁcant singular points spatially coherent spectral degree spherical Stamnes stationary curves stationary points structure symmetric function technique theory tion tomography topological transmission electron microscopy Ultramicroscopy Umul vector velocity waveform Wolf X-ray Zewail