Advances in Imaging and Electron Physics, Volume 234 merges two long-running serials, Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy. Chapters in this new release cover Unified formalism of light beam optics and light polarization, Relativistic Theory and Calculation of Electrostatic Focusing Systems, A Nonlinear Representation Theory of Equivariant Deep Learning Using Group Morphology, and Artificial Intelligence and Deep Learning in Electron Microscopy.
1. 1 Introduction - p. 2 2. 2 Fundamentals - p. 3 3. 3 Applications in the physical sciences - p. 31 4. 4 Applications in the life sciences - p. 55 5. 5 Conclusions and outlook - p. 70 6. References - p. 72 7. Chapter Two: Time-dependent perturbation theory for electron mirrors - p. 97 8. Abstract - p. 98 9. 1 Introduction - p. 99 10. 2 Equation of motion and paraxial rays in the time-dependent formalism for electron mirrors - p. 104 11. 3 Path deviation in the time-dependent theory induced by the perturbation - p. 119 12. 4 The second-rank lateral path deviation and the second-rank aberration coefficients and the chromatic aberrations - p. 133 13. 5 The second-order longitudinal path deviation, the third-order geometrical lateral path deviation, and the third-order geometrical aberration coefficients - p. 138 14. 6 Analytic form and properties of a longitudinal path-deviation of first-rank - p. 147 15. 7 Proof of properties of third-order geometrical off-axis aberration coefficients of time-dependent theory: coma-length and radius, anisotropic part of field curvature, and relation between field curvature and astigmatism - p. 154 16. 8 Transformation of the aberration coefficients, from time-dependent theory to standard electron optics, for a normal lens system - p. 165 17. 9 Aberration coefficients for variation of the voltages and the currents - p. 172 18. 10 Relation among the aberration coefficients for variation of the voltages and the currents and that of chromatic aberration - p. 181 19. 11 Aberration coefficients for an inclined incident beam - p. 184 20. 12 Time-dependent theory in Cartesian coordinate system - p. 191 21. 13 Time-dependent small-angle deflection theory - p. 197 22. 14 Conclusion - p. 259 23. 15 Appendix - p. 262 24. Acknowledgment - p. 276 25. References - p. 276 26. Index - p. 279
Advances in Imaging and Electron Physics, Volume 234 merges two long-running serials, Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy. Chapters in this new release cover Unified formalism of light beam optics and light polarization, Relativistic Theory and Calculation of Electrostatic Focusing Systems, A Nonlinear Representation Theory of Equivariant Deep Learning Using Group Morphology, and Artificial Intelligence and Deep Learning in Electron Microscopy.
1. 1 Introduction - p. 2 2. 2 Fundamentals - p. 3 3. 3 Applications in the physical sciences - p. 31 4. 4 Applications in the life sciences - p. 55 5. 5 Conclusions and outlook - p. 70 6. References - p. 72 7. Chapter Two: Time-dependent perturbation theory for electron mirrors - p. 97 8. Abstract - p. 98 9. 1 Introduction - p. 99 10. 2 Equation of motion and paraxial rays in the time-dependent formalism for electron mirrors - p. 104 11. 3 Path deviation in the time-dependent theory induced by the perturbation - p. 119 12. 4 The second-rank lateral path deviation and the second-rank aberration coefficients and the chromatic aberrations - p. 133 13. 5 The second-order longitudinal path deviation, the third-order geometrical lateral path deviation, and the third-order geometrical aberration coefficients - p. 138 14. 6 Analytic form and properties of a longitudinal path-deviation of first-rank - p. 147 15. 7 Proof of properties of third-order geometrical off-axis aberration coefficients of time-dependent theory: coma-length and radius, anisotropic part of field curvature, and relation between field curvature and astigmatism - p. 154 16. 8 Transformation of the aberration coefficients, from time-dependent theory to standard electron optics, for a normal lens system - p. 165 17. 9 Aberration coefficients for variation of the voltages and the currents - p. 172 18. 10 Relation among the aberration coefficients for variation of the voltages and the currents and that of chromatic aberration - p. 181 19. 11 Aberration coefficients for an inclined incident beam - p. 184 20. 12 Time-dependent theory in Cartesian coordinate system - p. 191 21. 13 Time-dependent small-angle deflection theory - p. 197 22. 14 Conclusion - p. 259 23. 15 Appendix - p. 262 24. Acknowledgment - p. 276 25. References - p. 276 26. Index - p. 279
