This book provides a clear, concise, and consistent exposition of what aberrations are, how they arise in optical imaging systems, and how they affect the quality of images formed by them. The emphasis of the book is on physical insight, problem solving, and numerical results, and the text is intended for engineers and scientists who have a need and a desire for a deeper and better understanding of aberrations and their role in optical imaging and wave propagation. Some knowledge of Gaussian optics and an appreciation for aberrations would be useful but is not required. The second edition of __Aberration Theory Made Simple__ features an updated Cartesian sign convention, which is used in advanced books on geometrical optics and in optical design software. New topics include centroid and standard deviation of ray aberrations, spot diagrams for primary aberrations, the golden rule of optical design about relying on such diagrams, update of 2D PSFs for primary aberrations, aberration-free optical transfer function of systems with annular and Gaussian pupils, Zernike polynomials for circular, annular, and Gaussian pupils, effect of longitudinal image motion on an image, lucky imaging in ground-based astronomy, and adaptive optics Content: Part I. Ray geometrical optics -- 1. Optical aberrations -- Introduction -- Optical imaging -- Wave and ray aberrations -- Defocus aberration -- Wavefront tilt -- Aberration function of a rotationally symmetric system -- Effect of change in aperture stop position on the aberration function -- Aberrations of a spherical refracting surface -- Aberration function of a multielement system -- Appendix: Sign convention -- 2. Aberrations of a thin lens -- Introduction -- Gaussian imaging -- Primary aberrations -- Spherical aberration and coma -- Numerical problems -- 3. Aberrations of a plane-parallel plate -- Introduction -- Gaussian imaging -- Primary aberrations -- Numerical problem -- 4. aberrations of a spherical mirror -- Introduction -- Primary aberration function -- Aperture stop at the mirror -- Aperture stop at the center of curvature of the mirror -- Numerical problems -- 5. Schmidt camera -- Introduction -- Schmidt plate -- Numerical problems -- 6. Aberrations of a conic surface -- Introduction -- Conic surface -- Conic refracting surface -- General aspherical refracting surface -- Conic reflecting surface -- Paraboloidal mirror -- Multi-mirror systems -- 7. Ray spot diagrams -- Introduction -- Wave and ray aberrations -- Spherical aberration -- Coma -- Astigmatism -- Field curvature -- Astigmatism and field curvature -- Distortion. Part II. Wave diffraction optics -- 8. Optical systems with circular pupils -- Introduction -- Point-spread function (PSF) -- Strehl ratio -- PSFs for primary aberrations -- Optical transfer function (OTF) -- Hopkins ratio -- OTFs for primary aberrations -- 9. Optical systems with annular and Gaussian pupils -- Introduction -- Annular pupils -- Gaussian pupils -- 10. Line of sight of an aberrated optical system -- Introduction -- Theory -- Numerical results -- Comments -- 11. Random aberrations -- Introduction -- Theory -- Random image motion -- Atmospheric turbulence -- Annular pupils -- Fabrication errors -- 12. Observation of aberrations -- Introduction -- Primary aberrations -- Interferograms. Abstract: This book provides a clear, concise, and consistent exposition of what aberrations are, how they arise in optical imaging systems, and how they affect the quality of images formed by them. The emphasis of the book is on physical insight, problem solving, and numerical results, and the text is intended for engineers and scientists who have a need and a desire for a deeper and better understanding of aberrations and their role in optical imaging and wave propagation. Some knowledge of Gaussian optics and an appreciation for aberrations would be useful but is not required This Book Provides A Clear, Concise, And Consistent Exposition Of What Aberrations Are, How They Arise In Optical Imaging Systems, And How They Affect The Quality Of Images Formed By Them. The Emphasis Of The Book Is On Physical Insight, Problem Solving, And Numerical Results, And The Text Is Intended For Engineers And Scientists Who Have A Need And A Desire For A Deeper And Better Understanding Of Aberrations And Their Role In Optical Imaging And Wave Propagation. Some Knowledge Of Gaussian Optics And An Appreciation For Aberrations Would Be Useful But Is Not Required. Preface To The Second Edition -- Preface To The First Edition -- Symbols And Notation -- Chapter 1. Optical Aberrations -- Chapter 2. Thin Lens -- Chapter 3. Aberrations Of A Plane-parallel Plate -- Chapter 4. Aberrations Of A Spherical Mirror -- Chapter 5. Schmidt Camera -- Chapter 6. Aberrations Of A Conic Surface -- Chapter 7. Ray Spot Sizes And Diagrams -- Chapter 8. Systems With Circular Pupils -- Chapter 9. Systems With Annular And Gaussian Pupils -- Chapter 10. Line Of Sight Of An Aberrated System -- Chapter 11. Random Aberrations -- Chapter 12. Observation Of Aberrations -- Bibliography -- References For Additional Reading -- Index -- About The Author. Virendra N. Mahajan. Includes Bibliographical References And Index. Online Version Available. This book provides a clear, concise, and consistent exposition of what aberrations are, how they arise in optical imaging systems, and how they affect the quality of images formed by them. The emphasis of the book is on physical insight, problem solving, and numerical results, and the text is intended for engineers and scientists who have a need and a desire for a deeper and better understanding of aberrations and their role in optical imaging and wave propagation. This second edition features an updated Cartesian sign convention, and new topics include centroid and standard deviation of ray aberrations, spot diagrams, an update of 2D PSFs for primary aberrations, aberration-free optical transfer function of systems with anular and Gaussian pupils, Zernikepolynomials for cicular pupils and the corresonding polynomials for annular and Gaussian pupils, effect of longitudinal image motion of an image, lucky imaging in ground-based astronomy, and adaptive optics Table of Contents 11 Chapter 1 25 Chapter 2 43 Chapter 3 51 Chapter 4 57 Chapter 5 67 Chapter 6 75 Chapter 7 83 Chapter 8 101 Chapter 9 135 Chapter 10 163 Chapter 11 169 Chapter 12 187 Index 205