The Ray and Wave Theory of Lenses

• Preface; Part I. Preview: 1. Some consequences of the wave equation; Part II. Geometrical Optics: 2. Fermat's principle; 3. Path differentials; 4. The structure of image forming pencils; 5. Eikonal transformations; 6. Perfect images; 7. Aberrations; 8. Radiometry; Part III. Paraxial Optics: 9. The small angle approximation; 10. Paraxial calculations; 11. Stops and pupils; 12. Chromatic aberrations; Part IV. Waves in Homogeneous Media: 13. Waves; 14. Wave propagation I: exact results; 15. Wave propagation II: approximations; 16. The stationary phase approximation; Part V. Wave Propagation Through Lenses: 17. Toward a wave theory of lenses; 18. General propagation kernels; 19. Paraxial wave propagation; 20. The wave theory of image formation; 21. Fourier optics; Part VI. Aberrations: 22. Perfect systems; 23. The vicinity of an arbitrary ray; 24. Third order aberrations; 25. The small field approximation; 26. Ray tracing; 27. Aberrations and the wave theory; Part VII. Applications: 28. Gaussian beams; 29. Concentric systems; 30. Thin lenses; 31. Mock ray tracing; 32. Diffractive optical elements; Appendices; Bibliography; Index.

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