Apodizing Filters

We have studied the improvement of the optical system performance by using non uniform transmission filters. The two main parameters are the resolution in the transverse plane and the depth of focus. We have studied the problem with different types of illumination: monochromatic, polychromatic, and partially coherent. He has implemented these filters by means of spatial light modulators. We have also studied the possibility to display a combination of a diffractive lens and a non-uniform filter in the same modulator, in this way one can dynamically modify the focal length, the resolution and the depth of focus.

 

  1. M. J. YzuelCampos, J.Escalera, J. C., and Márquez, A.“En los límites de la difracción: superresolución y apodización en sistemas ópticos. Implementación en moduladores LCD”, Revista de Física, vol. 29, pp. 1-7, 2015.
  2. J. CamposEscalera, J. C.Márquez, A., and Yzuel, M. J.“Pupil filters in optical systems. Implementation in liquid crystal spatial light modulators”, Asian Journal of Physics , vol. 23, pp. 363-402, 2014.
  3. M. Mora-GonzálezChiu-Zarate, R.Muñoz-Maciel, J.Martinez-Romo, J. C.Salinas-Luna, J.Campos, J., and Luna-Rosas, F. J.“Composed filter for attenuating bi-frequential noise on LCD-generated ronchigrams”, Proceedings SPIE, vol. 8436, pp. 1-6, 2012.
  4. R. HildCampos, J.Yzuel, M. J.Iemmi, C.Gimeno, R., and Escalera, J. C.“The assessment of phase only filters in imaging systems by the classical optical merit functions”, Proc. SPIE, vol. 7000, pp. 700018-700018-11, 2008.
  5. R. HildCampos, J.Yzuel, M. J.Iemmi, C., and Escalera, J. C.“Test images of a sector star versus radial and axial merit functions”, Proc. SPIE, vol. 7102, p. 71020R-71020R-11, 2008.
  6. C. J. R. SheppardCampos, J.Escalera, J. C., and Ledesma, S.“Three-zone pupil filters”, Optics Communications, vol. 281, pp. 3623 - 3630, 2008.
  7. C. J. R. SheppardCampos, J.Escalera, J. C., and Ledesma, S.“Two-zone pupil filters”, Optics Communications, vol. 281, pp. 913 - 922, 2008.
  8. C. J. R. SheppardLedesma, S.Campos, J., and Escalera, J. C.“Improved expressions for performance parameters for complex filters”, Opt. Lett., vol. 32, pp. 1713–1715, 2007.
  9. S. LedesmaEscalera, J. C.Campos, J., and Yzuel, M. J.“Evolution of the transverse response of an optical system with complex filters”, Optics Communications, vol. 249, pp. 183 - 192, 2005.
  10. L. P. YaroslavskyCampos, J.Espínola, M., and Ideses, I.“Redundancy of stereoscopic images: Experimental evaluation”, Opt. Express, vol. 13, pp. 10895–10907, 2005.
  11. A. MárquezIemmi, C.Campos, J.Escalera, J. C., and Yzuel, M. J.“Programmable apodizer to compensate chromatic aberration effects using a liquid crystal spatial light modulator”, Opt. Express, vol. 13, pp. 716–730, 2005.
  12. S. LedesmaCampos, J.Escalera, J. C., and Yzuel, M. J.“Simple expressions for performance parameters of complex filters, with applications to super-Gaussian phase filters”, Opt. Lett., vol. 29, pp. 932–934, 2004.
  13. S. LedesmaCampos, J.Escalera, J., and Yzuel, M. J.“Symmetry properties with pupil phase-filters”, Opt. Express, vol. 12, pp. 2548–2559, 2004.
  14. A. MárquezIemmi, C.Escalera, J. C.Campos, J.Ledesma, S.Davis, J. A., and Yzuel, M. J.“Amplitude apodizers encoded onto Fresnel lenses implemented on a phase-only spatial light modulator”, Appl. Opt., vol. 40, pp. 2316–2322, 2001.
  15. J. A. DavisSmith, D. A.McNamara, D. E.Cottrell, D. M., and Campos, J.“Fractional derivatives–-analysis and experimental implementation”, Appl. Opt., vol. 40, pp. 5943–5948, 2001.
  16. J. CamposYzuel, M. J.Márquez, A.Escalera, J. C.Davis, J. A.Iemmi, C., and Ledesma, S.“Programmable amplitude apodizers in liquid crystal spatial light modulators”, Proc. SPIE, vol. 4457, pp. 99-110, 2001.
  17. A. MárquezIemmi, C.Escalera, J. C.Campos, J.Ledesma, S.Davis, J. A., and Yzuel, M. J.“Simultaneous encoding of amplitude apodizers and Fresnel lenses in spatial light modulators”, Proc. SPIE, vol. 4419, pp. 692-695, 2001.
  18. J. CamposEscalera, J. C.Sheppard, C. J. R., and Yzuel, M. J.“Axially invariant pupil filters”, Journal of Modern Optics, vol. 47, pp. 57-68, 2000.
  19. J. A. DavisMcNamara, D. E.Cottrell, D. M., and Campos, J.“Image processing with the radial Hilbert transform: theory and experiments”, Opt. Lett., vol. 25, pp. 99–101, 2000.
  20. M. J. YzuelCampos, J.Márquez, A.Escalera, J. C.Davis, J. A.Iemmi, C., and Ledesma, S.“Inherent apodization of lenses encoded on liquid-crystal spatial light modulators”, Appl. Opt., vol. 39, pp. 6034–6039, 2000.
  21. J. A. DavisEscalera, J. C.Campos, J.Márquez, A.Yzuel, M. J., and Iemmi, C.“Programmable axial apodizing and hyperresolving amplitude filters with a liquid-crystal spatial light modulator”, Opt. Lett., vol. 24, pp. 628–630, 1999.
  22. J. C. EscaleraYzuel, M. J., and Campos, J.“Transverse and axial response of super-Gaussian rings”, Proc. SPIE, vol. 3572, pp. 450-455, 1999.
  23. R. HildYzuel, M. J.Escalera, J. C., and Campos, J.“Influence of nonuniform pupils in imaging periodical structures by photolithographic systems”, Optical Engineering, vol. 37, pp. 1353-1363, 1998.
  24. V. Kober and Campos, J.“Accuracy of location measurement of a noisy target in a nonoverlapping background”, J. Opt. Soc. Am. A, vol. 13, pp. 1653–1666, 1996.
  25. J. C. EscaleraYzuel, M. J., and Campos, J.“Control of the polychromatic response of an optical system through the use of annular color filters”, Appl. Opt., vol. 34, pp. 1655–1663, 1995.
  26. M. Montes-UsateguiCampos, J.Juvells, I., and Vallmitjana, S.“Sidelobe elimination for generalized synthetic discriminant functions by a two-filter correlation and subsequent postprocessing of the intensity distributions”, Appl. Opt., vol. 33, pp. 3050–3059, 1994.
  27. J. C. EscaleraYzuel, M. J., and Campos, J.“Influence of Amplitude-only Filters in Optical Systems with Residual Longitudinal Chromatic Aberration”, Journal of Modern Optics, vol. 38, pp. 1703-1720, 1991.
  28. M. S. MillánYzuel, M. J.Campos, J., and Ferreira, C.“Strategies for the color character recognition by optical multichannel correlation”, Proc. SPIE, vol. 1507, pp. 183-197, 1991.
  29. M. J. YzuelEscalera, J. C., and Campos, J.“Polychromatic axial behavior of axial apodizing and hyperresolving filters”, Appl. Opt., vol. 29, pp. 1631–1641, 1990.
  30. M. J. Yzuel and Campos, J.“Aberrated Optical Systems with Optimum Apodizers for the Strehl Ratio: Axial and Extra-axial Point-spread Function and Modulation-transfer Function”, Journal of Modern Optics, vol. 36, pp. 1513-1526, 1989.
  31. M. J. Yzuel and Campos, J.“An Approximate Method to Obtain the Amplitude Distribution on the Exit Reference Sphere Due to a Non-uniform Transmission Filter”, Journal of Modern Optics, vol. 36, pp. 531-544, 1989.
  32. J. Campos and Yzuel, M. J.“Axial and Extra-axial Responses in Aberrated Optical Systems with Apodizers. Optimization of the Strehl Ratio”, Journal of Modern Optics, vol. 36, pp. 733-749, 1989.
  33. M. J. YzuelEscalera, J. C.Cansado, G., and Campos, J.“Illuminance And Chromaticity Of The Image Of Optical Systems With Non Uniform Transmission Filters”, Proc. SPIE, vol. 1013, pp. 120-127, 1989.
  34. M. J. YzuelEscalera, J. C., and Campos, J.“Three-dimensional Differences in the Polychromatic Responses of Non-uniform Transmission Filters and Equivalent Pupils”, Journal of Modern Optics, vol. 36, pp. 1341-1351, 1989.
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