Coulomb Interactions in Particle Beams, Volume 230, the latest release in the Advances in Imaging and Electron Physics series, merges two long-running serials, Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy. The series features articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science, digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains.
1. Chapter One: Introduction - p. 1 2. Chapter Two: Historical notes - p. 9 3. Chapter Three: General beam properties - p. 27 4. Chapter Four: The many body problem of particles interacting through an Inverse Square force law - p. 59 5. Chapter Five: Concepts of an analytical model for statistical interactions in particle beams - p. 91 6. Abstract - p. 91 7. 5.1 Introduction - p. 91 8. 5.2 General formulation of the problem - p. 96 9. 5.3 Reduction of the N-particle problem - p. 95 10. 5.4 Calculation of the displacement distribution - p. 106 11. 5.5 Moments and cumulants of the displacement distribution - p. 108 12. 5.6 On- and off-axis reference trajectories - p. 111 13. 5.7 Models in one, two, and three dimensions - p. 113 14. 5.8 Distribution of the interaction force in cylindrical beams - p. 114 15. 5.9 Representation in the k-domain - p. 120 16. 5.10 Addition of the effects generated in individual beam segments - p. 127 17. 5.11 Slice method - p. 131 18. References - p. 132 19. Chapter Six: Two-particle dynamics - p. 133 20. Abstract - p. 133 21. 6.1 Introduction - p. 133 22. 6.2 Basic properties - p. 134 23. 6.3 Coordinate representation in the orbital plane - p. 138 24. 6.4 Dynamics of a complete collision - p. 141 25. 6.5 General analysis of the two-particle dynamical problem - p. 147 26. 6.6 Numerical approach to the dynamical problem - p. 145 27. 6.7 Dynamics of a nearly complete collision - p. 148 28. 6.8 First order perturbation dynamics - p. 157 29. 6.9 Collisions with zero initial relative velocity - p. 156 30. 6.10 Expressions for the longitudinal velocity shift Δvz - p. 160 31. 6.11 Expressions for the transverse velocity shift Δv⊥ - p. 162 32. 6.12 Expressions for the spatial shift Δr - p. 162 33. 6.13 Coulomb scaling - p. 166 34. References - p. 171 35. Chapter Seven: Boersch effect - p. 173 36. Abstract - p. 173 37. 7.1 Introduction - p. 173 38. 7.2 General aspects - p. 174 39. 7.3 Beam segment with a narrow crossover - p. 177 40. 7.4 Homocentric cylindrical beam segment - p. 189 41. 7.5 Beam segment with a crossover of arbitrary dimensions - p. 213 42. 7.6 Results for Gaussian angular and spatial distributions - p. 211 43. 7.7 Thermodynamic limits - p. 218 44. Chapter Eight: Statistical angular deflections - p. 221 45. Abstract - p. 221 46. 8.1 Introduction - p. 221 47. 8.2 General aspects - p. 222 48. 8.3 Beam segment with a narrow crossover - p. 225 49. 8.4 Homocentric cylindrical beam segment - p. 231 50. 8.5 Beam segment with a crossover of arbitrary dimensions - p. 240 51. 8.6 Application of the slice method - p. 260 52. 8.7 Results for Gaussian angular and spatial distributions - p. 262 53. Chapter Nine: Trajectory displacement effect - p. 267 54. Chapter Ten: Further investigations on statistical interactions - p. 299 55. Chapter Eleven: Space charge effect in low density particle beams - p. 329 56. Chapter Twelve: Calculation of different spot- and edge-width measures - p. 357 57. Chapter Thirteen: Monte Carlo simulation of particle beams - p. 393 58. Chapter Fourteen: Comparison of analytical theory with Monte Carlo simulations - p. 437 59. Chapter Fifteen: Comparison of recent theories on statistical interactions - p. 455 60. Chapter Sixteen: Summary for the one-minute designer - p. 487 61. Abstract - p. 487 62. 16.1 Introduction - p. 487 63. 16.2 Physical aspects - p. 488 64. 16.3 Parameter dependencies - p. 499 65. 16.4 Equations for the Boersch effect - p. 507 66. 16.5 Equations for the trajectory displacement effect - p. 512 67. 16.6 Equations for the space charge effect - p. 516 68. 16.7 Addition of the effects generated in individual beam segments - p. 517 69. References - p. 520 70. References - p. 521 71. Index - p. 527
Coulomb Interactions in Particle Beams, Volume 230, the latest release in the Advances in Imaging and Electron Physics series, merges two long-running serials, Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy. The series features articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science, digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains.
1. Chapter One: Introduction - p. 1 2. Chapter Two: Historical notes - p. 9 3. Chapter Three: General beam properties - p. 27 4. Chapter Four: The many body problem of particles interacting through an Inverse Square force law - p. 59 5. Chapter Five: Concepts of an analytical model for statistical interactions in particle beams - p. 91 6. Abstract - p. 91 7. 5.1 Introduction - p. 91 8. 5.2 General formulation of the problem - p. 96 9. 5.3 Reduction of the N-particle problem - p. 95 10. 5.4 Calculation of the displacement distribution - p. 106 11. 5.5 Moments and cumulants of the displacement distribution - p. 108 12. 5.6 On- and off-axis reference trajectories - p. 111 13. 5.7 Models in one, two, and three dimensions - p. 113 14. 5.8 Distribution of the interaction force in cylindrical beams - p. 114 15. 5.9 Representation in the k-domain - p. 120 16. 5.10 Addition of the effects generated in individual beam segments - p. 127 17. 5.11 Slice method - p. 131 18. References - p. 132 19. Chapter Six: Two-particle dynamics - p. 133 20. Abstract - p. 133 21. 6.1 Introduction - p. 133 22. 6.2 Basic properties - p. 134 23. 6.3 Coordinate representation in the orbital plane - p. 138 24. 6.4 Dynamics of a complete collision - p. 141 25. 6.5 General analysis of the two-particle dynamical problem - p. 147 26. 6.6 Numerical approach to the dynamical problem - p. 145 27. 6.7 Dynamics of a nearly complete collision - p. 148 28. 6.8 First order perturbation dynamics - p. 157 29. 6.9 Collisions with zero initial relative velocity - p. 156 30. 6.10 Expressions for the longitudinal velocity shift Δvz - p. 160 31. 6.11 Expressions for the transverse velocity shift Δv⊥ - p. 162 32. 6.12 Expressions for the spatial shift Δr - p. 162 33. 6.13 Coulomb scaling - p. 166 34. References - p. 171 35. Chapter Seven: Boersch effect - p. 173 36. Abstract - p. 173 37. 7.1 Introduction - p. 173 38. 7.2 General aspects - p. 174 39. 7.3 Beam segment with a narrow crossover - p. 177 40. 7.4 Homocentric cylindrical beam segment - p. 189 41. 7.5 Beam segment with a crossover of arbitrary dimensions - p. 213 42. 7.6 Results for Gaussian angular and spatial distributions - p. 211 43. 7.7 Thermodynamic limits - p. 218 44. Chapter Eight: Statistical angular deflections - p. 221 45. Abstract - p. 221 46. 8.1 Introduction - p. 221 47. 8.2 General aspects - p. 222 48. 8.3 Beam segment with a narrow crossover - p. 225 49. 8.4 Homocentric cylindrical beam segment - p. 231 50. 8.5 Beam segment with a crossover of arbitrary dimensions - p. 240 51. 8.6 Application of the slice method - p. 260 52. 8.7 Results for Gaussian angular and spatial distributions - p. 262 53. Chapter Nine: Trajectory displacement effect - p. 267 54. Chapter Ten: Further investigations on statistical interactions - p. 299 55. Chapter Eleven: Space charge effect in low density particle beams - p. 329 56. Chapter Twelve: Calculation of different spot- and edge-width measures - p. 357 57. Chapter Thirteen: Monte Carlo simulation of particle beams - p. 393 58. Chapter Fourteen: Comparison of analytical theory with Monte Carlo simulations - p. 437 59. Chapter Fifteen: Comparison of recent theories on statistical interactions - p. 455 60. Chapter Sixteen: Summary for the one-minute designer - p. 487 61. Abstract - p. 487 62. 16.1 Introduction - p. 487 63. 16.2 Physical aspects - p. 488 64. 16.3 Parameter dependencies - p. 499 65. 16.4 Equations for the Boersch effect - p. 507 66. 16.5 Equations for the trajectory displacement effect - p. 512 67. 16.6 Equations for the space charge effect - p. 516 68. 16.7 Addition of the effects generated in individual beam segments - p. 517 69. References - p. 520 70. References - p. 521 71. Index - p. 527
