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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 11 — Nov. 1, 2007
  • pp: 3600–3605

Focusing and spectral characteristics of periodic diffractive optical elements with circular symmetry under femtosecond pulsed illumination

Omel Mendoza-Yero, Gladys Mínguez-Vega, Jesús Lancis, and Vicent Climent  »View Author Affiliations

JOSA A, Vol. 24, Issue 11, pp. 3600-3605 (2007)

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The analytical solution is derived, within the Rayleigh–Sommerfeld formulation of diffraction, for the on-axis spectral irradiance of a broadband source after diffracting through a circular symmetric hard aperture. By using this solution, and within the paraxial approximation, we investigate several diffraction-induced effects originated by binary diffractive optical elements made up of a set of annular apertures with equal areas and periodic in the squared radial coordinate. In particular, the ability to focus femtosecond pulses is investigated. In addition, the analysis of the spectral modifier function associated with these elements allows us to simulate spectral shifts at focus positions. Finally, we introduce a relatively simple and low-cost technique to slice the spectrum of a broadband source in order to generate narrow bands or wavelength channels.

© 2007 Optical Society of America

OCIS Codes
(050.1220) Diffraction and gratings : Apertures
(050.1970) Diffraction and gratings : Diffractive optics
(320.2250) Ultrafast optics : Femtosecond phenomena

ToC Category:
Diffraction and Gratings

Original Manuscript: July 25, 2007
Manuscript Accepted: September 21, 2007
Published: October 25, 2007

Omel Mendoza-Yero, Gladys Mínguez-Vega, Jesús Lancis, and Vicent Climent, "Focusing and spectral characteristics of periodic diffractive optical elements with circular symmetry under femtosecond pulsed illumination," J. Opt. Soc. Am. A 24, 3600-3605 (2007)

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  1. G. Gbur, T. D. Visser, and E. Wolf, "Anomalous behavior of spectra near phase singularities of focused waves," Phys. Rev. Lett. 88, 013901 (2002). [CrossRef] [PubMed]
  2. G. Popescu and A. Dogariu, "Spectral anomalies at wave-front dislocations," Phys. Rev. Lett. 88, 183902 (2002). [CrossRef] [PubMed]
  3. J. Pu, H. Zhang, and S. Nemoto, "Spectral shifts and spectral switches of partially coherent light passing through an aperture," Opt. Commun. 162, 57-63 (1999). [CrossRef]
  4. H. C. Kandpal, "Experimental observation of the phenomenon of spectral switch," J. Opt. A, Pure Appl. Opt. 3, 296-299 (2001). [CrossRef]
  5. J. T. Foley and E. Wolf, "Phenomenon of spectral switches as a new effect in singular optics with polychromatic light," J. Opt. Soc. Am. A 19, 2510-2516 (2002). [CrossRef]
  6. D. Ganic, J. W. M. Chon, and M. Gu, "Effect of numerical aperture on the spectral splitting feature near phase singularities of focused waves," Appl. Phys. Lett. 82, 1527-1528 (2003). [CrossRef]
  7. L. E. Helseth, "Spectral density of polychromatic electromagnetic waves," Phys. Rev. E 73, 026602 (2006). [CrossRef]
  8. J. Pu, C. Cai, and S. Nemoto, "Spectral anomalies in Young's double-slit interference experiment," Opt. Express 12, 5131-5139 (2004). [CrossRef] [PubMed]
  9. J. Pu and S. Nemoto, "Spectral shifts and spectral switches in diffraction of partially coherent light by a circular aperture," IEEE J. Quantum Electron. 36, 1407-1411 (2000). [CrossRef]
  10. Z. Liu and B. Lü, "Spectral shifts and spectral switches in diffraction of ultrashort pulsed beams passing through a circular aperture," Optik (Stuttgart) 115, 447-454 (2004). [CrossRef]
  11. S. P. Veetil, N. K. Viswanathan, C. Vijayan, and F. Wyrowski, "Spectral and temporal evolutions of ultrashort pulses diffracted through a slit near phase singularities," Appl. Phys. Lett. 89, 041119 (2006). [CrossRef]
  12. S. P. Veetil, C. Vijayan, D. K. Sharma, H. Shimmel, and F. Vyrowski, "Diffraction induced space-time splitting effects in ultra-short pulse propagation," J. Mod. Opt. 53, 1819-1828 (2006). [CrossRef]
  13. R. Mellish, S. V. Chernikov, P. M. W. French, and J. E. Taylor, "All-solid-state compact high repetition rate modelocked Cr4+:YAG laser," Electron. Lett. 34, 552-553 (1998). [CrossRef]
  14. T. Tomaru, "Two-element-cavity femtosecond Cr4+:YAG laser operating at a 2.6GHz repetition rate," Opt. Lett. 26, 1439-1441 (2001). [CrossRef]
  15. L. Boivin and B. C. Collings, "Spectrum slicing of coherent sources in optical communications," Opt. Fiber Technol. 7, 1-20 (2001). [CrossRef]
  16. M. H. Reeve, A. R. Hunwicks, W. Zhao, S. G. Methley, L. Bickers, and S. Hornung, "LED spectral slicing for single-mode local loop applications," Electron. Lett. 24, 389-390 (1988). [CrossRef]
  17. D. Pastor, J. Capmany, and B. Ortega, "Broad-band tunable microwave transversal notch filter based on tunable uniform fiber Bragg gratings as slicing filters," IEEE Photon. Technol. Lett. 13, 726-729 (2001). [CrossRef]
  18. J. Mora, M. V. Andrés, J. L. Cruz, B. Ortega, J. Capmany, D. Pastor, and S. Sales, "Tunable all-optical negative multitap microwave filters based on uniform fiber Bragg gratings," Opt. Lett. 28, 1308-1310 (2003). [CrossRef] [PubMed]
  19. J. D. Taylor, L. R. Chen, and X. Gu, "Simple reconfigurable photonic microwave filter using an arrayed waveguide grating and fiber Bragg gratings," IEEE Photon. Technol. Lett. 19, 510-512 (2007). [CrossRef]
  20. S. Mansoori and A. Mitchell, "RF transversal filter using an AOTF," IEEE Photon. Technol. Lett. 16, 879-881 (2004). [CrossRef]
  21. J. S. Lee, Y. C. Chung, and C. S. Shim, "Bandwidth optimization of a spectrum-slicing fiber amplifier source using an angle-tuned Fabry-Perot filter and a double-stage structure," IEEE Photon. Technol. Lett. 6, 1197-1199 (1994). [CrossRef]
  22. J. S. Lee and C. S. Shim, "Characteristic of spectrum-slicing filter composed of an angle-tuned Fabry-Perot etalon and a Gaussian input beam," IEEE Photon. Technol. Lett. 7, 905-907 (1995). [CrossRef]
  23. O. Mendoza-Yero, G. Mínguez-Vega, J. Lancis, M. Fernández-Alonso, and V. Climent, "On-axis diffraction of an ultrashort light pulse by circularly symmetric hard apertures," Opt. Express 15, 4546-4556 (2007). [CrossRef] [PubMed]
  24. C. J. Zapata-Rodríguez, "Temporal effects in ultrashort pulsed beams focused by planar diffracting elements," J. Opt. Soc. Am. A 23, 2335-2341 (2006). [CrossRef]
  25. H. Zhang, J. Li, D. W. Doerr, and D. R. Alexander, "Diffraction characteristics of a Fresnel zone plate illuminated by 10fs laser pulses," Appl. Opt. 45, 8541-8546 (2006). [CrossRef] [PubMed]
  26. R. Ashman and M. Gu, "Effect of ultrashort pulsed illumination on foci caused by a Fresnel zone plate," Appl. Opt. 42, 1852-1855 (2003). [CrossRef] [PubMed]
  27. G. Mínguez-Vega, J. Lancis, J. Caraquitena, and V. Torres-Company, "High spatiotemporal resolution in multifocal processing with femtosecond laser pulses," Opt. Lett. 31, 2631-2633 (2006). [CrossRef] [PubMed]

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