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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
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
Palabras clave:Aberrations; Optical design; Wavefronts; Generalized Coddington's equations; Wavefront aberration functions; Fourier optics
Año:2000
Volumen:111
Número:6
Página de inicio:249
Página de fin:260
Título revista:Optik (Jena)
Título revista abreviado:Optik (Jena)
ISSN:00304026
CODEN:OTIKA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00304026_v111_n6_p249_Comastri

Referencias:

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  • Cox, A., (1964) System of Optical Design, , Focal, New York
  • Smith, W.J., (1966) Modern Optical Engineering, , McGraw Hill, New York
  • 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
  • Powell, I., Optical design and analysis program (1978) Appl. Opt., 17, pp. 3361-3367
  • Comastri, S.A., Simon, J.M., Ray tracing, aberration function and spatial frequencies (1984) Optik, 66, pp. 175-190
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  • 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 [ ]