The ray and wave theory of lenses:
Calculations on lens systems are often marred by the unjustifiable use of the small-angle approximation. This book describes in detail how the ray and wave pictures of lens behaviour can be combined and developed into a theory capable of dealing with the large angles encountered in real optical syst...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1995
|
| Series: | Cambridge studies in modern optics
15 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | Calculations on lens systems are often marred by the unjustifiable use of the small-angle approximation. This book describes in detail how the ray and wave pictures of lens behaviour can be combined and developed into a theory capable of dealing with the large angles encountered in real optical systems. A distinct advantage of this approach is that Fourier optics appears naturally, in a form valid for arbitrarily large angles. The book begins with extensive reviews of geometrical optiks, eikonal functions and the theory of wave propagation. The propagation of waves through lenses is then treated by exploiting the close connection between eikonal function theory and the stationary phase approximation. Aberrations are then discussed, and the book concludes with various applications in lens design and analysis, including chapters on laser beam propagation and diffractive optical elements. Throughout, special emphasis is placed on the intrinsic limitations of lens performance. The many practical insights it contains, as well as the exercises with their solutions, will be of interest to graduate students as well as to anyone working in optical design and engineering |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xvi, 399 pages) |
| ISBN: | 9780511470745 |
| DOI: | 10.1017/CBO9780511470745 |
Staff View
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| 246 | 1 | 3 | |a The Ray & Wave Theory of Lenses |
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| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | |a pt. 1. Preview. 1. Some consequences of the wave equation -- pt. 2. 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 -- pt. 3. Paraxial optics. 9. The small angle approximation. 10. Paraxial calculations. 11. Stops and pupils. 12. Chromatic aberrations -- pt. 4. Waves in homogeneous media. 13. Waves. 14. Wave propagation I: exact results. 15. Wave propagation II: approximations. 16. The stationary phase approximation -- pt. 5. 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 -- pt. 6. 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 -- pt. 7. Applications. 28. Gaussian beams. 29. Concentric systems. 30. Thin lenses. 31. Mock ray tracing. 32. Diffractive optical elements -- Appendix 1: Fourier transforms -- Appendix 2: Third order calculations -- Appendix 3: Ray tracing -- Appendix 4: Eikonals and the propagation kernels -- Appendix 5: Paraxial eikonals -- Appendix 6: Hints and problem solutions | |
| 520 | |a Calculations on lens systems are often marred by the unjustifiable use of the small-angle approximation. This book describes in detail how the ray and wave pictures of lens behaviour can be combined and developed into a theory capable of dealing with the large angles encountered in real optical systems. A distinct advantage of this approach is that Fourier optics appears naturally, in a form valid for arbitrarily large angles. The book begins with extensive reviews of geometrical optiks, eikonal functions and the theory of wave propagation. The propagation of waves through lenses is then treated by exploiting the close connection between eikonal function theory and the stationary phase approximation. Aberrations are then discussed, and the book concludes with various applications in lens design and analysis, including chapters on laser beam propagation and diffractive optical elements. Throughout, special emphasis is placed on the intrinsic limitations of lens performance. The many practical insights it contains, as well as the exercises with their solutions, will be of interest to graduate students as well as to anyone working in optical design and engineering | ||
| 650 | 4 | |a Lenses | |
| 650 | 4 | |a Geometrical optics | |
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Record in the Search Index
| _version_ | 1804176885132820480 |
|---|---|
| any_adam_object | |
| author | Walther, A. |
| author_facet | Walther, A. |
| author_role | aut |
| author_sort | Walther, A. |
| author_variant | a w aw |
| building | Verbundindex |
| bvnumber | BV043942394 |
| classification_rvk | UH 5080 UH 6700 |
| collection | ZDB-20-CBO |
| contents | pt. 1. Preview. 1. Some consequences of the wave equation -- pt. 2. 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 -- pt. 3. Paraxial optics. 9. The small angle approximation. 10. Paraxial calculations. 11. Stops and pupils. 12. Chromatic aberrations -- pt. 4. Waves in homogeneous media. 13. Waves. 14. Wave propagation I: exact results. 15. Wave propagation II: approximations. 16. The stationary phase approximation -- pt. 5. 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 -- pt. 6. 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 -- pt. 7. Applications. 28. Gaussian beams. 29. Concentric systems. 30. Thin lenses. 31. Mock ray tracing. 32. Diffractive optical elements -- Appendix 1: Fourier transforms -- Appendix 2: Third order calculations -- Appendix 3: Ray tracing -- Appendix 4: Eikonals and the propagation kernels -- Appendix 5: Paraxial eikonals -- Appendix 6: Hints and problem solutions |
| ctrlnum | (ZDB-20-CBO)CR9780511470745 (OCoLC)849890704 (DE-599)BVBBV043942394 |
| dewey-full | 681/.423 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 681 - Precision instruments and other devices |
| dewey-raw | 681/.423 |
| dewey-search | 681/.423 |
| dewey-sort | 3681 3423 |
| dewey-tens | 680 - Manufacture of products for specific uses |
| discipline | Physik Handwerk und Gewerbe / Verschiedene Technologien |
| doi_str_mv | 10.1017/CBO9780511470745 |
| format | Electronic eBook |
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| id | DE-604.BV043942394 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9780511470745 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351364 |
| oclc_num | 849890704 |
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| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xvi, 399 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 1995 |
| publishDateSearch | 1995 |
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| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge studies in modern optics |
| spelling | Walther, A. Verfasser aut The ray and wave theory of lenses A. Walther The Ray & Wave Theory of Lenses Cambridge Cambridge University Press 1995 1 online resource (xvi, 399 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in modern optics 15 Title from publisher's bibliographic system (viewed on 05 Oct 2015) pt. 1. Preview. 1. Some consequences of the wave equation -- pt. 2. 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 -- pt. 3. Paraxial optics. 9. The small angle approximation. 10. Paraxial calculations. 11. Stops and pupils. 12. Chromatic aberrations -- pt. 4. Waves in homogeneous media. 13. Waves. 14. Wave propagation I: exact results. 15. Wave propagation II: approximations. 16. The stationary phase approximation -- pt. 5. 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 -- pt. 6. 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 -- pt. 7. Applications. 28. Gaussian beams. 29. Concentric systems. 30. Thin lenses. 31. Mock ray tracing. 32. Diffractive optical elements -- Appendix 1: Fourier transforms -- Appendix 2: Third order calculations -- Appendix 3: Ray tracing -- Appendix 4: Eikonals and the propagation kernels -- Appendix 5: Paraxial eikonals -- Appendix 6: Hints and problem solutions Calculations on lens systems are often marred by the unjustifiable use of the small-angle approximation. This book describes in detail how the ray and wave pictures of lens behaviour can be combined and developed into a theory capable of dealing with the large angles encountered in real optical systems. A distinct advantage of this approach is that Fourier optics appears naturally, in a form valid for arbitrarily large angles. The book begins with extensive reviews of geometrical optiks, eikonal functions and the theory of wave propagation. The propagation of waves through lenses is then treated by exploiting the close connection between eikonal function theory and the stationary phase approximation. Aberrations are then discussed, and the book concludes with various applications in lens design and analysis, including chapters on laser beam propagation and diffractive optical elements. Throughout, special emphasis is placed on the intrinsic limitations of lens performance. The many practical insights it contains, as well as the exercises with their solutions, will be of interest to graduate students as well as to anyone working in optical design and engineering Lenses Geometrical optics Eikonal equation Fourier transform optics Eikonal (DE-588)4151213-3 gnd rswk-swf Linse (DE-588)4167776-6 gnd rswk-swf Linse (DE-588)4167776-6 s Eikonal (DE-588)4151213-3 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 978-0-521-45144-4 Erscheint auch als Druck-Ausgabe 978-0-521-02829-5 https://doi.org/10.1017/CBO9780511470745 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Walther, A. The ray and wave theory of lenses pt. 1. Preview. 1. Some consequences of the wave equation -- pt. 2. 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 -- pt. 3. Paraxial optics. 9. The small angle approximation. 10. Paraxial calculations. 11. Stops and pupils. 12. Chromatic aberrations -- pt. 4. Waves in homogeneous media. 13. Waves. 14. Wave propagation I: exact results. 15. Wave propagation II: approximations. 16. The stationary phase approximation -- pt. 5. 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 -- pt. 6. 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 -- pt. 7. Applications. 28. Gaussian beams. 29. Concentric systems. 30. Thin lenses. 31. Mock ray tracing. 32. Diffractive optical elements -- Appendix 1: Fourier transforms -- Appendix 2: Third order calculations -- Appendix 3: Ray tracing -- Appendix 4: Eikonals and the propagation kernels -- Appendix 5: Paraxial eikonals -- Appendix 6: Hints and problem solutions Lenses Geometrical optics Eikonal equation Fourier transform optics Eikonal (DE-588)4151213-3 gnd Linse (DE-588)4167776-6 gnd |
| subject_GND | (DE-588)4151213-3 (DE-588)4167776-6 |
| title | The ray and wave theory of lenses |
| title_alt | The Ray & Wave Theory of Lenses |
| title_auth | The ray and wave theory of lenses |
| title_exact_search | The ray and wave theory of lenses |
| title_full | The ray and wave theory of lenses A. Walther |
| title_fullStr | The ray and wave theory of lenses A. Walther |
| title_full_unstemmed | The ray and wave theory of lenses A. Walther |
| title_short | The ray and wave theory of lenses |
| title_sort | the ray and wave theory of lenses |
| topic | Lenses Geometrical optics Eikonal equation Fourier transform optics Eikonal (DE-588)4151213-3 gnd Linse (DE-588)4167776-6 gnd |
| topic_facet | Lenses Geometrical optics Eikonal equation Fourier transform optics Eikonal Linse |
| url | https://doi.org/10.1017/CBO9780511470745 |
| work_keys_str_mv | AT walthera therayandwavetheoryoflenses AT walthera theraywavetheoryoflenses |