Abstract:
The Fourier Optics Approach and the generalized Coddington's equations are combined to analyze the image of a second order patch surrounding a reference object point. For rays in the tangential section, an expression for the second field derivative of the wavefront aberration function in terms of variables which can be computed tracing rays from this point is obtained. This expression enables the calculation up to second order in field coordinates of the wavefront aberration corresponding to any point in the patch. The theoretical results are tested numerically for a photographic objective.
Registro:
Documento: |
Artículo
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Título: | Wavefront aberration function: Its first and second field derivatives |
Autor: | Comastri, S.A.; Simon, J.M. |
Ciudad: | Stuttgart, Germany |
Filiación: | Laboratorio de Optica, Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, (1428) Buenos Aires, Argentina
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Palabras clave: | Aberrations; Optical design; Wavefronts; Generalized Coddington's equations; Wavefront aberration functions; Fourier optics |
Año: | 2000
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Volumen: | 111
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Número: | 6
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Página de inicio: | 249
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Página de fin: | 260
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Título revista: | Optik (Jena)
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Título revista abreviado: | Optik (Jena)
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ISSN: | 00304026
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CODEN: | OTIKA
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00304026_v111_n6_p249_Comastri |
Referencias:
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- Longhurst, R.S., (1973) Geometrical and Physical Optics, , Longman, London
- Born, M., Wolf, B., (1987) Principles of Optics, , Pergamon Press, London
- Hopkins, H.H., Aberration theory and lens design (1995) Jpn. J. Appl. Phys., 4 (SUP. 1), pp. 31-34
- Hopkins, H.H., Image formation by a general optical system. 1: General theory (1985) Appl. Opt., 24, pp. 2491-2505
- Comastri, S.A., Simon, J.M., Aberration function dependence on field, a way to obtain better profit from ray tracing (1985) Optik, 69, pp. 135-140
- Comastri, S.A., Simon, J.M., Field derivative of the Variance of Wavefront Aberration (1989) J. Mod. Opt., 36, pp. 1073-1091
- Goodman, J.W., (1968) Introduction to Fourier Optics, , McGraw-Hill, New York
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- Comastri, S.A., Simon, J.M., Ray tracing, aberration function and spatial frequencies (1984) Optik, 66, pp. 175-190
- Comastri, S.A., Pupil exploration and calculation of vignetting (1990) Optik, 85, pp. 173-176
- Simon, J.M., Comastri, S.A., Image-forming systems: Matrix formulation of the optical invariant via Fourier optics (1996) J. Mod. Opt., 43, pp. 2533-2541
- Comastri, S.A., Optical systems and spatial frequencies (1997) Optik, 105, pp. 129-133
- Comastri, S.A., Simon, J.M., Blendowske, R., Generalized sine condition for image-forming systems with centering errors (1999) J. Opt. Soc. Am. A, 16, pp. 602-612
- Blendowske, R., Fourier optical approach to the sine condition (1998) Optics and Photonics News, , May
- Comastri, S.A., Simon, J.M., Wavefront aberration function: Its aperture second derivatives evaluated using Coddington's equations (1992) J. Mod. Opt., 39, pp. 1543-1553
- Comastri, S.A., Simon, J.M., Optical design: Are skew rays necessary? How many of them to evaluate eighth order coefficients? (1993) Pure Appl. Opt., 2, pp. 607-614
Citas:
---------- APA ----------
Comastri, S.A. & Simon, J.M.
(2000)
. Wavefront aberration function: Its first and second field derivatives. Optik (Jena), 111(6), 249-260.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00304026_v111_n6_p249_Comastri [ ]
---------- CHICAGO ----------
Comastri, S.A., Simon, J.M.
"Wavefront aberration function: Its first and second field derivatives"
. Optik (Jena) 111, no. 6
(2000) : 249-260.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00304026_v111_n6_p249_Comastri [ ]
---------- MLA ----------
Comastri, S.A., Simon, J.M.
"Wavefront aberration function: Its first and second field derivatives"
. Optik (Jena), vol. 111, no. 6, 2000, pp. 249-260.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00304026_v111_n6_p249_Comastri [ ]
---------- VANCOUVER ----------
Comastri, S.A., Simon, J.M. Wavefront aberration function: Its first and second field derivatives. Optik (Jena). 2000;111(6):249-260.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00304026_v111_n6_p249_Comastri [ ]