Abstract

Sensitivity to disk vibration and large component number, which complicates assembly and optical alignment, are the drawbacks of traditional optical pickup systems. Here, a numerical method of designing a dual-wavelength diffractive objective lens with high numerical aperture for generating arbitrarily discrete, diffractionless beams with extended depth of focus is presented. Simulation and experimental results show that the optimized design provides better resolution, longer depth of focus and higher diffractive efficiency. The proposed design is promising for next-generation optical pickup systems that are more robust to disk vibration and easier to assemble.

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  1. R. M. Herman and T. A. Wiggins, “Production and uses of diffractionless beams,” J. Opt. Soc. Am. A 8(6), 932–942 (1991).
    [CrossRef]
  2. L. C. Laycock and S. C. Webster, “Bessel beams: their generation and application,” GEC J. Res. 10, 36–51 (1992).
  3. J. H. McLeod, “Axicons and their uses,” J. Opt. Soc. Am. A 50(2), 166 (1960).
    [CrossRef]
  4. T. Hidaka, “Generation of a diffraction-free laser beam using a specific Fresnel zone plate,” Jpn. J. Appl. Phys. 30(Part 1, No. 8), 1738–1739 (1991).
    [CrossRef]
  5. M. Rioux, R. Tremblay, and P. A. Bélanger, “Linear, annular, and radial focusing with axicons and applications to laser machining,” Appl. Opt. 17(10), 1532–1536 (1978).
    [CrossRef] [PubMed]
  6. Z. Ding, H. Ren, Y. Zhao, J. S. Nelson, and Z. Chen, “High-resolution optical coherence tomography over a large depth range with an axicon lens,” Opt. Lett. 27(4), 243–245 (2002).
    [CrossRef]
  7. V. E. Peet and R. V. Tsubin, “Third-harmonic generation and multiphoton ionization in Bessel beams,” Phys. Rev. A 56(2), 1613–1620 (1997).
    [CrossRef]
  8. J. Sochacki, S. Bará, Z. Jaroszewicz, and A. Kołodziejczyk, “Phase retardation of the uniform-intensity axilens,” Opt. Lett. 17(1), 7–9 (1992).
    [CrossRef] [PubMed]
  9. Z. Jaroszewicz and J. Morales, “Lens axicons: systems composed of a diverging aberrated lens and a perfect converging lens,” J. Opt. Soc. Am. A 15(9), 2383–2390 (1998).
    [CrossRef]
  10. J. Durnin, “Exact solutions for nondiffracting beams. I. The scalar theory,” J. Opt. Soc. Am. A 4(4), 651–654 (1987).
    [CrossRef]
  11. L. Niggl, T. Lanzl, and M. Maier, “Properties of Bessel beams generated by periodic gratings of circular symmetry,” J. Opt. Soc. Am. A 14(1), 27–33 (1997).
    [CrossRef]
  12. A. J. Cox and D. C. Dibble, “Nondiffracting beam from a spatially filtered Fabry-Perot resonator,” J. Opt. Soc. Am. A 9(2), 282–286 (1992).
    [CrossRef]
  13. N. Davidson, A. A. Friesem, and E. Hasman, “Holographic axilens: high resolution and long focal depth,” Opt. Lett. 16(7), 523–525 (1991).
    [CrossRef] [PubMed]
  14. B. Z. Dong, G. Z. Yang, B. Y. Gu, and O. K. Ersoy, “Iterative optimization approach for designing an axicon with long focal depth and high transverse resolution,” J. Opt. Soc. Am. A 13(1), 97–103 (1996).
    [CrossRef]
  15. J. Rosen, B. Salik, and A. Yariv, “Pseudo-nondiffracting beams generated by radial harmonic functions,” J. Opt. Soc. Am. A 12(11), 2446–2457 (1995).
    [CrossRef]
  16. J. Rosen, B. Salik, A. Yariv, and H. K. Liu, “Pseudonondiffracting slitlike beam and its analogy to the pseudonondispersing pulse,” Opt. Lett. 20(5), 423–425 (1995).
    [CrossRef] [PubMed]
  17. R. Liu, B. Y. Gu, B. Z. Dong, and G. Z. Yang, “Diffractive phase elements that synthesize color pseudo-nondiffracting beams,” Opt. Lett. 23(8), 633–635 (1998).
    [CrossRef]
  18. B. E. A. Saleh, and M. C. Teich, Fundamentals of Photonics (Wiley, New York, 1991), pp. 131.
  19. H. H. Lin and M. H. Lu, “Dual-Wavelength Membrane-Based Diffractive Optical Element with Extended Depth-of-Focus for Optical Pickup Head,” Jpn. J. Appl. Phys. 46(No. 8B), 5485–5493 (2007).
    [CrossRef]
  20. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1996), 2nd ed., pp. 66.
  21. R. Fletcher, Practical Methods of Optimization (Wiley, New York, 1999), 2nd ed., pp. 6–92.
  22. M. W. Farn and J. W. Goodman, “Effect of VLSI fabrication errors on kinoform efficiency,” Proc. SPIE 1211, 125–136 (1990).
    [CrossRef]
  23. J. A. Cox, T. R. Werner, J. C. Lee, S. A. Nelson, B. S. Fritz, and J. W. Bergstrom, “Diffraction efficiency of binary optical elements,” Proc. SPIE 1211, 116–124 (1990).
    [CrossRef]
  24. M. Holz, M. B. Stern, S. Medeiros, and R. E. Knowlden, “Testing binary optics: accurate high-precision efficiency measurements of microlens arrays in the visible,” Proc. SPIE 1514, 75–89 (1991).
    [CrossRef]

2007

H. H. Lin and M. H. Lu, “Dual-Wavelength Membrane-Based Diffractive Optical Element with Extended Depth-of-Focus for Optical Pickup Head,” Jpn. J. Appl. Phys. 46(No. 8B), 5485–5493 (2007).
[CrossRef]

2002

Z. Ding, H. Ren, Y. Zhao, J. S. Nelson, and Z. Chen, “High-resolution optical coherence tomography over a large depth range with an axicon lens,” Opt. Lett. 27(4), 243–245 (2002).
[CrossRef]

1998

Z. Jaroszewicz and J. Morales, “Lens axicons: systems composed of a diverging aberrated lens and a perfect converging lens,” J. Opt. Soc. Am. A 15(9), 2383–2390 (1998).
[CrossRef]

R. Liu, B. Y. Gu, B. Z. Dong, and G. Z. Yang, “Diffractive phase elements that synthesize color pseudo-nondiffracting beams,” Opt. Lett. 23(8), 633–635 (1998).
[CrossRef]

1997

L. Niggl, T. Lanzl, and M. Maier, “Properties of Bessel beams generated by periodic gratings of circular symmetry,” J. Opt. Soc. Am. A 14(1), 27–33 (1997).
[CrossRef]

V. E. Peet and R. V. Tsubin, “Third-harmonic generation and multiphoton ionization in Bessel beams,” Phys. Rev. A 56(2), 1613–1620 (1997).
[CrossRef]

1996

B. Z. Dong, G. Z. Yang, B. Y. Gu, and O. K. Ersoy, “Iterative optimization approach for designing an axicon with long focal depth and high transverse resolution,” J. Opt. Soc. Am. A 13(1), 97–103 (1996).
[CrossRef]

1995

J. Rosen, B. Salik, and A. Yariv, “Pseudo-nondiffracting beams generated by radial harmonic functions,” J. Opt. Soc. Am. A 12(11), 2446–2457 (1995).
[CrossRef]

J. Rosen, B. Salik, A. Yariv, and H. K. Liu, “Pseudonondiffracting slitlike beam and its analogy to the pseudonondispersing pulse,” Opt. Lett. 20(5), 423–425 (1995).
[CrossRef] [PubMed]

1992

A. J. Cox and D. C. Dibble, “Nondiffracting beam from a spatially filtered Fabry-Perot resonator,” J. Opt. Soc. Am. A 9(2), 282–286 (1992).
[CrossRef]

J. Sochacki, S. Bará, Z. Jaroszewicz, and A. Kołodziejczyk, “Phase retardation of the uniform-intensity axilens,” Opt. Lett. 17(1), 7–9 (1992).
[CrossRef] [PubMed]

L. C. Laycock and S. C. Webster, “Bessel beams: their generation and application,” GEC J. Res. 10, 36–51 (1992).

1991

T. Hidaka, “Generation of a diffraction-free laser beam using a specific Fresnel zone plate,” Jpn. J. Appl. Phys. 30(Part 1, No. 8), 1738–1739 (1991).
[CrossRef]

N. Davidson, A. A. Friesem, and E. Hasman, “Holographic axilens: high resolution and long focal depth,” Opt. Lett. 16(7), 523–525 (1991).
[CrossRef] [PubMed]

R. M. Herman and T. A. Wiggins, “Production and uses of diffractionless beams,” J. Opt. Soc. Am. A 8(6), 932–942 (1991).
[CrossRef]

M. Holz, M. B. Stern, S. Medeiros, and R. E. Knowlden, “Testing binary optics: accurate high-precision efficiency measurements of microlens arrays in the visible,” Proc. SPIE 1514, 75–89 (1991).
[CrossRef]

1990

M. W. Farn and J. W. Goodman, “Effect of VLSI fabrication errors on kinoform efficiency,” Proc. SPIE 1211, 125–136 (1990).
[CrossRef]

J. A. Cox, T. R. Werner, J. C. Lee, S. A. Nelson, B. S. Fritz, and J. W. Bergstrom, “Diffraction efficiency of binary optical elements,” Proc. SPIE 1211, 116–124 (1990).
[CrossRef]

1987

J. Durnin, “Exact solutions for nondiffracting beams. I. The scalar theory,” J. Opt. Soc. Am. A 4(4), 651–654 (1987).
[CrossRef]

1978

M. Rioux, R. Tremblay, and P. A. Bélanger, “Linear, annular, and radial focusing with axicons and applications to laser machining,” Appl. Opt. 17(10), 1532–1536 (1978).
[CrossRef] [PubMed]

1960

J. H. McLeod, “Axicons and their uses,” J. Opt. Soc. Am. A 50(2), 166 (1960).
[CrossRef]

Bará, S.

J. Sochacki, S. Bará, Z. Jaroszewicz, and A. Kołodziejczyk, “Phase retardation of the uniform-intensity axilens,” Opt. Lett. 17(1), 7–9 (1992).
[CrossRef] [PubMed]

Bélanger, P. A.

M. Rioux, R. Tremblay, and P. A. Bélanger, “Linear, annular, and radial focusing with axicons and applications to laser machining,” Appl. Opt. 17(10), 1532–1536 (1978).
[CrossRef] [PubMed]

Bergstrom, J. W.

J. A. Cox, T. R. Werner, J. C. Lee, S. A. Nelson, B. S. Fritz, and J. W. Bergstrom, “Diffraction efficiency of binary optical elements,” Proc. SPIE 1211, 116–124 (1990).
[CrossRef]

Chen, Z.

Z. Ding, H. Ren, Y. Zhao, J. S. Nelson, and Z. Chen, “High-resolution optical coherence tomography over a large depth range with an axicon lens,” Opt. Lett. 27(4), 243–245 (2002).
[CrossRef]

Cox, A. J.

A. J. Cox and D. C. Dibble, “Nondiffracting beam from a spatially filtered Fabry-Perot resonator,” J. Opt. Soc. Am. A 9(2), 282–286 (1992).
[CrossRef]

Cox, J. A.

J. A. Cox, T. R. Werner, J. C. Lee, S. A. Nelson, B. S. Fritz, and J. W. Bergstrom, “Diffraction efficiency of binary optical elements,” Proc. SPIE 1211, 116–124 (1990).
[CrossRef]

Davidson, N.

N. Davidson, A. A. Friesem, and E. Hasman, “Holographic axilens: high resolution and long focal depth,” Opt. Lett. 16(7), 523–525 (1991).
[CrossRef] [PubMed]

Dibble, D. C.

A. J. Cox and D. C. Dibble, “Nondiffracting beam from a spatially filtered Fabry-Perot resonator,” J. Opt. Soc. Am. A 9(2), 282–286 (1992).
[CrossRef]

Ding, Z.

Z. Ding, H. Ren, Y. Zhao, J. S. Nelson, and Z. Chen, “High-resolution optical coherence tomography over a large depth range with an axicon lens,” Opt. Lett. 27(4), 243–245 (2002).
[CrossRef]

Dong, B. Z.

R. Liu, B. Y. Gu, B. Z. Dong, and G. Z. Yang, “Diffractive phase elements that synthesize color pseudo-nondiffracting beams,” Opt. Lett. 23(8), 633–635 (1998).
[CrossRef]

B. Z. Dong, G. Z. Yang, B. Y. Gu, and O. K. Ersoy, “Iterative optimization approach for designing an axicon with long focal depth and high transverse resolution,” J. Opt. Soc. Am. A 13(1), 97–103 (1996).
[CrossRef]

Durnin, J.

J. Durnin, “Exact solutions for nondiffracting beams. I. The scalar theory,” J. Opt. Soc. Am. A 4(4), 651–654 (1987).
[CrossRef]

Ersoy, O. K.

B. Z. Dong, G. Z. Yang, B. Y. Gu, and O. K. Ersoy, “Iterative optimization approach for designing an axicon with long focal depth and high transverse resolution,” J. Opt. Soc. Am. A 13(1), 97–103 (1996).
[CrossRef]

Farn, M. W.

M. W. Farn and J. W. Goodman, “Effect of VLSI fabrication errors on kinoform efficiency,” Proc. SPIE 1211, 125–136 (1990).
[CrossRef]

Friesem, A. A.

N. Davidson, A. A. Friesem, and E. Hasman, “Holographic axilens: high resolution and long focal depth,” Opt. Lett. 16(7), 523–525 (1991).
[CrossRef] [PubMed]

Fritz, B. S.

J. A. Cox, T. R. Werner, J. C. Lee, S. A. Nelson, B. S. Fritz, and J. W. Bergstrom, “Diffraction efficiency of binary optical elements,” Proc. SPIE 1211, 116–124 (1990).
[CrossRef]

Goodman, J. W.

M. W. Farn and J. W. Goodman, “Effect of VLSI fabrication errors on kinoform efficiency,” Proc. SPIE 1211, 125–136 (1990).
[CrossRef]

Gu, B. Y.

R. Liu, B. Y. Gu, B. Z. Dong, and G. Z. Yang, “Diffractive phase elements that synthesize color pseudo-nondiffracting beams,” Opt. Lett. 23(8), 633–635 (1998).
[CrossRef]

B. Z. Dong, G. Z. Yang, B. Y. Gu, and O. K. Ersoy, “Iterative optimization approach for designing an axicon with long focal depth and high transverse resolution,” J. Opt. Soc. Am. A 13(1), 97–103 (1996).
[CrossRef]

Hasman, E.

N. Davidson, A. A. Friesem, and E. Hasman, “Holographic axilens: high resolution and long focal depth,” Opt. Lett. 16(7), 523–525 (1991).
[CrossRef] [PubMed]

Herman, R. M.

R. M. Herman and T. A. Wiggins, “Production and uses of diffractionless beams,” J. Opt. Soc. Am. A 8(6), 932–942 (1991).
[CrossRef]

Hidaka, T.

T. Hidaka, “Generation of a diffraction-free laser beam using a specific Fresnel zone plate,” Jpn. J. Appl. Phys. 30(Part 1, No. 8), 1738–1739 (1991).
[CrossRef]

Holz, M.

M. Holz, M. B. Stern, S. Medeiros, and R. E. Knowlden, “Testing binary optics: accurate high-precision efficiency measurements of microlens arrays in the visible,” Proc. SPIE 1514, 75–89 (1991).
[CrossRef]

Jaroszewicz, Z.

Z. Jaroszewicz and J. Morales, “Lens axicons: systems composed of a diverging aberrated lens and a perfect converging lens,” J. Opt. Soc. Am. A 15(9), 2383–2390 (1998).
[CrossRef]

J. Sochacki, S. Bará, Z. Jaroszewicz, and A. Kołodziejczyk, “Phase retardation of the uniform-intensity axilens,” Opt. Lett. 17(1), 7–9 (1992).
[CrossRef] [PubMed]

Knowlden, R. E.

M. Holz, M. B. Stern, S. Medeiros, and R. E. Knowlden, “Testing binary optics: accurate high-precision efficiency measurements of microlens arrays in the visible,” Proc. SPIE 1514, 75–89 (1991).
[CrossRef]

Kolodziejczyk, A.

J. Sochacki, S. Bará, Z. Jaroszewicz, and A. Kołodziejczyk, “Phase retardation of the uniform-intensity axilens,” Opt. Lett. 17(1), 7–9 (1992).
[CrossRef] [PubMed]

Lanzl, T.

L. Niggl, T. Lanzl, and M. Maier, “Properties of Bessel beams generated by periodic gratings of circular symmetry,” J. Opt. Soc. Am. A 14(1), 27–33 (1997).
[CrossRef]

Laycock, L. C.

L. C. Laycock and S. C. Webster, “Bessel beams: their generation and application,” GEC J. Res. 10, 36–51 (1992).

Lee, J. C.

J. A. Cox, T. R. Werner, J. C. Lee, S. A. Nelson, B. S. Fritz, and J. W. Bergstrom, “Diffraction efficiency of binary optical elements,” Proc. SPIE 1211, 116–124 (1990).
[CrossRef]

Lin, H. H.

H. H. Lin and M. H. Lu, “Dual-Wavelength Membrane-Based Diffractive Optical Element with Extended Depth-of-Focus for Optical Pickup Head,” Jpn. J. Appl. Phys. 46(No. 8B), 5485–5493 (2007).
[CrossRef]

Liu, H. K.

J. Rosen, B. Salik, A. Yariv, and H. K. Liu, “Pseudonondiffracting slitlike beam and its analogy to the pseudonondispersing pulse,” Opt. Lett. 20(5), 423–425 (1995).
[CrossRef] [PubMed]

Liu, R.

R. Liu, B. Y. Gu, B. Z. Dong, and G. Z. Yang, “Diffractive phase elements that synthesize color pseudo-nondiffracting beams,” Opt. Lett. 23(8), 633–635 (1998).
[CrossRef]

Lu, M. H.

H. H. Lin and M. H. Lu, “Dual-Wavelength Membrane-Based Diffractive Optical Element with Extended Depth-of-Focus for Optical Pickup Head,” Jpn. J. Appl. Phys. 46(No. 8B), 5485–5493 (2007).
[CrossRef]

Maier, M.

L. Niggl, T. Lanzl, and M. Maier, “Properties of Bessel beams generated by periodic gratings of circular symmetry,” J. Opt. Soc. Am. A 14(1), 27–33 (1997).
[CrossRef]

McLeod, J. H.

J. H. McLeod, “Axicons and their uses,” J. Opt. Soc. Am. A 50(2), 166 (1960).
[CrossRef]

Medeiros, S.

M. Holz, M. B. Stern, S. Medeiros, and R. E. Knowlden, “Testing binary optics: accurate high-precision efficiency measurements of microlens arrays in the visible,” Proc. SPIE 1514, 75–89 (1991).
[CrossRef]

Morales, J.

Z. Jaroszewicz and J. Morales, “Lens axicons: systems composed of a diverging aberrated lens and a perfect converging lens,” J. Opt. Soc. Am. A 15(9), 2383–2390 (1998).
[CrossRef]

Nelson, J. S.

Z. Ding, H. Ren, Y. Zhao, J. S. Nelson, and Z. Chen, “High-resolution optical coherence tomography over a large depth range with an axicon lens,” Opt. Lett. 27(4), 243–245 (2002).
[CrossRef]

Nelson, S. A.

J. A. Cox, T. R. Werner, J. C. Lee, S. A. Nelson, B. S. Fritz, and J. W. Bergstrom, “Diffraction efficiency of binary optical elements,” Proc. SPIE 1211, 116–124 (1990).
[CrossRef]

Niggl, L.

L. Niggl, T. Lanzl, and M. Maier, “Properties of Bessel beams generated by periodic gratings of circular symmetry,” J. Opt. Soc. Am. A 14(1), 27–33 (1997).
[CrossRef]

Peet, V. E.

V. E. Peet and R. V. Tsubin, “Third-harmonic generation and multiphoton ionization in Bessel beams,” Phys. Rev. A 56(2), 1613–1620 (1997).
[CrossRef]

Ren, H.

Z. Ding, H. Ren, Y. Zhao, J. S. Nelson, and Z. Chen, “High-resolution optical coherence tomography over a large depth range with an axicon lens,” Opt. Lett. 27(4), 243–245 (2002).
[CrossRef]

Rioux, M.

M. Rioux, R. Tremblay, and P. A. Bélanger, “Linear, annular, and radial focusing with axicons and applications to laser machining,” Appl. Opt. 17(10), 1532–1536 (1978).
[CrossRef] [PubMed]

Rosen, J.

J. Rosen, B. Salik, A. Yariv, and H. K. Liu, “Pseudonondiffracting slitlike beam and its analogy to the pseudonondispersing pulse,” Opt. Lett. 20(5), 423–425 (1995).
[CrossRef] [PubMed]

J. Rosen, B. Salik, and A. Yariv, “Pseudo-nondiffracting beams generated by radial harmonic functions,” J. Opt. Soc. Am. A 12(11), 2446–2457 (1995).
[CrossRef]

Salik, B.

J. Rosen, B. Salik, and A. Yariv, “Pseudo-nondiffracting beams generated by radial harmonic functions,” J. Opt. Soc. Am. A 12(11), 2446–2457 (1995).
[CrossRef]

J. Rosen, B. Salik, A. Yariv, and H. K. Liu, “Pseudonondiffracting slitlike beam and its analogy to the pseudonondispersing pulse,” Opt. Lett. 20(5), 423–425 (1995).
[CrossRef] [PubMed]

Sochacki, J.

J. Sochacki, S. Bará, Z. Jaroszewicz, and A. Kołodziejczyk, “Phase retardation of the uniform-intensity axilens,” Opt. Lett. 17(1), 7–9 (1992).
[CrossRef] [PubMed]

Stern, M. B.

M. Holz, M. B. Stern, S. Medeiros, and R. E. Knowlden, “Testing binary optics: accurate high-precision efficiency measurements of microlens arrays in the visible,” Proc. SPIE 1514, 75–89 (1991).
[CrossRef]

Tremblay, R.

M. Rioux, R. Tremblay, and P. A. Bélanger, “Linear, annular, and radial focusing with axicons and applications to laser machining,” Appl. Opt. 17(10), 1532–1536 (1978).
[CrossRef] [PubMed]

Tsubin, R. V.

V. E. Peet and R. V. Tsubin, “Third-harmonic generation and multiphoton ionization in Bessel beams,” Phys. Rev. A 56(2), 1613–1620 (1997).
[CrossRef]

Webster, S. C.

L. C. Laycock and S. C. Webster, “Bessel beams: their generation and application,” GEC J. Res. 10, 36–51 (1992).

Werner, T. R.

J. A. Cox, T. R. Werner, J. C. Lee, S. A. Nelson, B. S. Fritz, and J. W. Bergstrom, “Diffraction efficiency of binary optical elements,” Proc. SPIE 1211, 116–124 (1990).
[CrossRef]

Wiggins, T. A.

R. M. Herman and T. A. Wiggins, “Production and uses of diffractionless beams,” J. Opt. Soc. Am. A 8(6), 932–942 (1991).
[CrossRef]

Yang, G. Z.

R. Liu, B. Y. Gu, B. Z. Dong, and G. Z. Yang, “Diffractive phase elements that synthesize color pseudo-nondiffracting beams,” Opt. Lett. 23(8), 633–635 (1998).
[CrossRef]

B. Z. Dong, G. Z. Yang, B. Y. Gu, and O. K. Ersoy, “Iterative optimization approach for designing an axicon with long focal depth and high transverse resolution,” J. Opt. Soc. Am. A 13(1), 97–103 (1996).
[CrossRef]

Yariv, A.

J. Rosen, B. Salik, A. Yariv, and H. K. Liu, “Pseudonondiffracting slitlike beam and its analogy to the pseudonondispersing pulse,” Opt. Lett. 20(5), 423–425 (1995).
[CrossRef] [PubMed]

J. Rosen, B. Salik, and A. Yariv, “Pseudo-nondiffracting beams generated by radial harmonic functions,” J. Opt. Soc. Am. A 12(11), 2446–2457 (1995).
[CrossRef]

Zhao, Y.

Z. Ding, H. Ren, Y. Zhao, J. S. Nelson, and Z. Chen, “High-resolution optical coherence tomography over a large depth range with an axicon lens,” Opt. Lett. 27(4), 243–245 (2002).
[CrossRef]

Appl. Opt.

M. Rioux, R. Tremblay, and P. A. Bélanger, “Linear, annular, and radial focusing with axicons and applications to laser machining,” Appl. Opt. 17(10), 1532–1536 (1978).
[CrossRef] [PubMed]

GEC J. Res.

L. C. Laycock and S. C. Webster, “Bessel beams: their generation and application,” GEC J. Res. 10, 36–51 (1992).

J. Opt. Soc. Am. A

J. H. McLeod, “Axicons and their uses,” J. Opt. Soc. Am. A 50(2), 166 (1960).
[CrossRef]

Z. Jaroszewicz and J. Morales, “Lens axicons: systems composed of a diverging aberrated lens and a perfect converging lens,” J. Opt. Soc. Am. A 15(9), 2383–2390 (1998).
[CrossRef]

J. Durnin, “Exact solutions for nondiffracting beams. I. The scalar theory,” J. Opt. Soc. Am. A 4(4), 651–654 (1987).
[CrossRef]

L. Niggl, T. Lanzl, and M. Maier, “Properties of Bessel beams generated by periodic gratings of circular symmetry,” J. Opt. Soc. Am. A 14(1), 27–33 (1997).
[CrossRef]

A. J. Cox and D. C. Dibble, “Nondiffracting beam from a spatially filtered Fabry-Perot resonator,” J. Opt. Soc. Am. A 9(2), 282–286 (1992).
[CrossRef]

B. Z. Dong, G. Z. Yang, B. Y. Gu, and O. K. Ersoy, “Iterative optimization approach for designing an axicon with long focal depth and high transverse resolution,” J. Opt. Soc. Am. A 13(1), 97–103 (1996).
[CrossRef]

J. Rosen, B. Salik, and A. Yariv, “Pseudo-nondiffracting beams generated by radial harmonic functions,” J. Opt. Soc. Am. A 12(11), 2446–2457 (1995).
[CrossRef]

R. M. Herman and T. A. Wiggins, “Production and uses of diffractionless beams,” J. Opt. Soc. Am. A 8(6), 932–942 (1991).
[CrossRef]

Jpn. J. Appl. Phys.

H. H. Lin and M. H. Lu, “Dual-Wavelength Membrane-Based Diffractive Optical Element with Extended Depth-of-Focus for Optical Pickup Head,” Jpn. J. Appl. Phys. 46(No. 8B), 5485–5493 (2007).
[CrossRef]

T. Hidaka, “Generation of a diffraction-free laser beam using a specific Fresnel zone plate,” Jpn. J. Appl. Phys. 30(Part 1, No. 8), 1738–1739 (1991).
[CrossRef]

Opt. Lett.

Z. Ding, H. Ren, Y. Zhao, J. S. Nelson, and Z. Chen, “High-resolution optical coherence tomography over a large depth range with an axicon lens,” Opt. Lett. 27(4), 243–245 (2002).
[CrossRef]

N. Davidson, A. A. Friesem, and E. Hasman, “Holographic axilens: high resolution and long focal depth,” Opt. Lett. 16(7), 523–525 (1991).
[CrossRef] [PubMed]

J. Sochacki, S. Bará, Z. Jaroszewicz, and A. Kołodziejczyk, “Phase retardation of the uniform-intensity axilens,” Opt. Lett. 17(1), 7–9 (1992).
[CrossRef] [PubMed]

J. Rosen, B. Salik, A. Yariv, and H. K. Liu, “Pseudonondiffracting slitlike beam and its analogy to the pseudonondispersing pulse,” Opt. Lett. 20(5), 423–425 (1995).
[CrossRef] [PubMed]

R. Liu, B. Y. Gu, B. Z. Dong, and G. Z. Yang, “Diffractive phase elements that synthesize color pseudo-nondiffracting beams,” Opt. Lett. 23(8), 633–635 (1998).
[CrossRef]

Phys. Rev. A

V. E. Peet and R. V. Tsubin, “Third-harmonic generation and multiphoton ionization in Bessel beams,” Phys. Rev. A 56(2), 1613–1620 (1997).
[CrossRef]

Proc. SPIE

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[CrossRef]

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[CrossRef]

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[CrossRef]

Other

B. E. A. Saleh, and M. C. Teich, Fundamentals of Photonics (Wiley, New York, 1991), pp. 131.

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Figures (16)

Fig. 1
Fig. 1

Schematic diagram of dual-wavelength ADDB diffractive optical system that approaches the front-zone of the near-field diffraction region.

Fig. 2
Fig. 2

Schematic illustration of objective lens for DVD optical pickup head system with dual-wavelength ADDB DOL.

Fig. 3
Fig. 3

Propagation of banded-krait-like beam and 3-D distribution of CP dual-wavelength ADDB DOL with two depth-of-focus regions:
 (a) λ = 650 nm DVD segment, (b) λ = 780 nm CD segment.

Fig. 4
Fig. 4

Propagation of banded-krait-like beam and 3-D distribution of the sixteen-level quantization phase dual-wavelength ADDB DOL with two depth-of-focus regions: 
(a) λ = 650 nm, DVD segment; (b) λ = 780 nm, CD segment.

Fig. 5
Fig. 5

Propagation of banded-krait-like beam and 3-D distribution of the eight-level quantization phase dual-wavelength ADDB DOL with two depth-of-focus regions: 
(a) λ = 650 nm, DVD segment; (b) λ = 780 nm, CD segment.

Fig. 6
Fig. 6

Spot-size diameter of dual-wavelength ADDB DOL for the Airy criterion, 1/e2, and FWHM of CP for two depth-of-focus regions: (a) λ = 650 nm, DVD segment; (b) λ = 780 nm, CD segment.

Fig. 8
Fig. 8

Spot-size diameter of dual-wavelength ADDB DOL for the Airy criterion, 1/e2, and FWHM of the eight-level quantization phases of two depth-of-focus regions: 
(a) λ = 650 nm, DVD segment; (b) λ = 780 nm, CD segment.

Fig. 9
Fig. 9

Surface relief of depth of the CP distribution for the designed dual-wavelength ADDB DOL in DVD optical pickup heads.

Fig. 7
Fig. 7

Spot-size diameter of dual-wavelength ADDB DOL for the Airy criterion, 1/e2, and FWHM of the sixteen-level quantization phases of two depth-of-focus regions: 
(a) λ = 650 nm, DVD segment; (b) λ = 780 nm, CD segment.

Fig. 10
Fig. 10

Diagram illustrating the rings for (a) mask 1, (b) mask 2, and (c) mask 3 of the 8L for optical contact lithography contain 600 concentric circle rings.

Fig. 11
Fig. 11

The red dotted circle shows the fabricated fused-silica-based DOL with diameter of 4.2 mm and dual-wavelength ADDB.

Fig. 12
Fig. 12

SEM micrograph of surface relief structures on the fabricated fused-silica DOL with dual-wavelength ADDB.

Fig. 13
Fig. 13

Fabrication results for the dual-wavelength fused-silica-based ADDB DOL. The fractional profile in (a) 2-D, (b) 3-D, (c) measurement data, and (d) cross-section of the surface-relief structures of the 8L DOL (obtained on a Zygo 3-D surface profiler measuring system).

Fig. 14
Fig. 14

Experimental setup for measuring the performance of the designed fused-silica-based DOL with dual-wavelength ADDB characteristic.

Fig. 15
Fig. 15

Photographs present the spot size of the fused-silica-based DOL with dual-wavelength ADDB for FWHM of λDVD segment for a measuring distance of 40 μm per frame.

Fig. 16
Fig. 16

Photographs present the spot size of the fused-silica-based DOL with dual-wavelength ADDB for FWHM of λCD segment for a measuring distance of 40 μm per frame.

Tables (3)

Tables Icon

Table 1 Specifications of the DVD optical pickup head white paper.

Tables Icon

Table 2 Specifications of the dual-wavelength ADDB DOL for the objective lens of DVD optical pickup head.

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Table 3 Simulated average spot-size diameter for the Airy criterion, 1/e2, and full width at half maximum (FWHM), which have continuous phases (CP) and quantization phases (16L and 8L), for designing the dual-wavelength ADDB DOL for the DVD optical pickup head.

Equations (15)

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U 1 ( λ m , r 1 ) = ρ 1 ( λ m , r 1 ) exp [ i ϕ 1 ( λ m , r 1 ) ] ,
ϕ 1 ( λ m , r 1 ) = 2 π λ m [ n ( λ m ) 1 ] h ( r 1 ) .
U 2 ( λ m , r 2 n , Z n ) = ρ 2 ( λ m , r 2 n , Z n ) exp [ i ϕ 2 ( λ m , r 2 n , Z n ) ] ,
U 2 ( λ m , r 2 n , Z n ) = 2 π i λ m Z n exp ( i 2 π Z n λ m ) × 0 R 1 ρ 1 ( r 1 , λ m ) exp { i 2 π λ m [ n ( λ m ) 1 ] h ( r 1 ) }
× exp [ i π ( r 1 2 + r 2 n 2 ) λ m Z n ] × J 0 ( 2 π r 1 r 2 n λ m Z n ) r 1 d r 1 ,
E = m = 1 N λ p = 1 N 2 n n = 1 N z W ( λ m , r 2 p , Z n ) [ ρ ˜ 2 ( λ m , r 2 p , Z n ) | U 2 ( λ m , r 2 p , Z n ) | ] 2 ,
W ( λ m , r 2 p , Z n ) = [ 1 W min N S ( r 2 p , Z n ) s i g n a l z o n e W min N z ( r 2 p , Z n ) N S ( r 2 p , Z n ) , n o n s i g n a l z o n e ,
y (k + 1) ( r 1 ) = y (k) ( r 1 ) + τ (k) d (k) ,
d ( k ) = E [ y ( k ) ( r 1 ) ] + β ( k 1 ) d ( k 1 ) ,
β ( k 1 ) = | E [ y ( k ) ( r 1 ) ] | 2 | E [ y ( k 1 ) ( r 1 ) ] | 2 ,
Nonuniformity = I 2 I 2 I ,
Efficiency Useful energy / Incident energy .
  η s η Tested DOL / η Ideal DOL .
  η Ideal DOL = [ sin ( π 2 n ) π 2 n ] 2 ,
  η Tested DOL E u / E i ,

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