Iterative optimization approach for designing an axicon with long focal depth and high transverse resolution

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 13, Issue 1, 1996, Pages 97-103

  Dong, Bi Zhen ^a   Yang, Guo Zhen ^a   Gu, Ben Yuan ^a   Ersoy, Okan K ^b  

^a INSTITUTE OF PHYSICS   (China)

^b PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0003064576     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.13.000097     Document Type: Article

References (33)

1. J. H. McLeod, “Axicon: a new type of optical element,” J. Opt. Soc. Am. 44, 592–597 (1954).
2. J. H. McLeod, “Axicons and their uses,” J. Opt. Soc. Am. 50, 166–169 (1960).
3. M. V. Perez, C. Gomez-Reino, and J. M. Cuadrado, “Diffrac- tion pattern and zero plates produced by thin linear axicons,” Opt. Acta 33, 1161–1176 (1986).
4. L. W. Casperson and M. S. Shekhani, “Air breakdown in a radial-mode focusing element,” Appl. Opt. 13, 104–108 (1974).
5. P. A. Belanger and M. Rioux, “Ring pattern of a lens-axicon doublet illuminated by a Gaussian beam,” Appl. Opt. 17, 1080–1086 (1978).
6. M. Rioux and P. A. Belanger, “Linear, annular, and radial focusing with axicons and applications to laser machining,” Appl. Opt. 17, 1532–1536 (1978).
7. J. Turunen, A. Vasara, and A. T. Friberg, “Holographic gen- eration of diffraction-free beams,” Appl. Opt. 27, 3959–3962 (1988).
8. A. Vasara, J. Turunen, and A. T. Friberg, “Realization of general nondiffracting beams with computer-generated holo-grams,” J. Opt. Soc. Am. A 6, 1748–1754 (1989).
9. G. Bickel, G. Hausler, and M. Maul, “Triangulation with expanded range of depth,” Opt. Eng. 24, 975–977 (1985).
10. G. Hausler and W. Heckel, “Light sectioning with large depth and high resolution,” Appl. Opt. 27, 5165–5169 (1988).
11. L. M. Soroko, “Axicons and meso-optical imaging devices,” in Progress in Optics, E. Wolf, ed. (Elsevier, New York, 1989), Vol. 27, pp. 109–160.
12. A. T. Friberg and S. Y. Popov, “Partially coherently illu- minated uniform-intensity holographic axicons,” in Diffrac- tive Optics: Design, Fabrication, and Applications, Vol. 11 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1994), pp. 224–227.
13. Z. Jaroszewicz and J. F. R. Dopazo, “Polychromatic illumina- tion of logarithmic annular-aperture diffractive axicon,” in Diffractive Optics: Design, Fabrication, and Applications, Vol. 11 of oSa Technical Digest Series (Optical Society of America, Washington, D.C., 1994), pp. 228–231.
14. N. Davidson, A. A. Friesem, and E. Hasman, “Holographic axicon: high resolution and long focal depth,” Opt. Lett. 16, 523–525 (1991).
15. J. Sochacki, S. Bara, Z. Jaroszewicz, and A. Kolodziejczyk, “Phase retardation of the uniform-intensity axilens,” Opt. Lett. 17, 7–9 (1992).
16. J. Sochacki, A. Kolodziejczyk, Z. Jaroszewicz, and S. Bara, “Nonparaxial design of generalized axicons,” Appl. Opt. 31, 5326–5330 (1992).
17. L. F. Staronski, J. Sochacki, Z. Jaroszewicz, and A. Kolodziejczyk, “Lateral distribution and flow of en- ergy in uniform-intensity axicons,” J. Opt. Soc. Am. A 9, 2091–2094 (1992).
18. J. Sochacki, Z. Jaroszewicz, L. R. Staronski, and A. Kolodziejczyk, “Annular-aperture logarithmic axicon,” J. Opt. Soc. Am. A 10, 1765–1768 (1993).
19. Z. Jaroszewicz, J. Sochacki, A. Kolodziejczyk, and L. R. Staronski, “Apodized annular-aperture logarithmic axicon: smoothness and uniformity of intensity distributions,” Opt. Lett. 18, 1893–1895 (1993).
20. S. N. Khonina, V. V. Kotlyar, and V. A. Soifer, “Calculation of the focusators into a longitudinal line-segment and study of a focal area,” J. Mod. Opt. 40, 761–769 (1993).
21. R. Piestun and J. Shamir, “Control ofwave-front propagation with diffractive elements,” Opt. Lett. 19, 771–773 (1994).
22. J. Rosen and A. Yariv, “Synsthesis of an arbitrary axial field profile by computer-generated holograms,” Opt. Lett. 19, 843–845 (1994).
23. J. Rosen, “Synsthesis of nondiffracting beams in free space,” Opt. Lett. 19, 369–371 (1994).
24. R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane picture,” Optik 35, 237–246 (1972).
25. B. Gu and G. Yang, “On the phase retrieval problem in optical and electronic microscopy,” Acta Opt. Sin. 1,517-522 (1981) (in Chinese).
26. G. Yang and B. Gu, “On the amplitude-phase retrieval problem in the optical system,” Acta. Phys. Sin. 30, 410–413 (1981) (in Chinese).
27. G. Yang, L. Wang, B. Dong, and B. Gu, “On the amplitude- phase retrieval problem in an optical system involving nonunitary transformation,” Optik (Stuttgart) 75, 68–74 (1987).
28. G. Z. Yang, B. Y. Gu, and B. Z. Dong, “Theory of the amplitude-phase retrieval in any linear transform system and its applications,” Int. J. Mod. Phys. B 7, 3153–3224 (1993).
29. G. Z. Yang, B. Z. Dong, B. Y. Gu, J. Y. Zhuang, and O. K. Ersoy, “Gerchberg-Saxton and Yang-Gu algorithms for phase retrieval in a nonunitary transform system: a com-parison,” Appl. Opt. 33, 209–218 (1994).
30. G. Z. Yang, B. Y. Gu, X. Tan, M. P. Chang, B. Z. Dong, and O. K. Ersoy, “Iterative optimization approach for the design of diffractive phase elements simultaneously implementing several optical functions,” J. Opt. Soc. Am. 11,1632-1640 (1994).
31. B. Y. Gu, G. Z. Yang, B. Z. Dong, M. P. Chang, and O. K. Ersoy, “Diffractive-phase-element design that implements several optical functions,” Appl. Opt. 34, 2564–2570 (1995).
32. B. Dong, G. Yang, and B. Gu, “Phase retardation for a uniform-intensity axicon: a new method of design,” sub-mitted to Opt. Lett.
33. J. W. Goodman, Introduction to Fourier Optics (McGraw- Hill, New York, 1968), pp. 13 and 63.