Spherical aberration correction suitable for a wavefront controller

Haruyasu Itoh; Naoya Matsumoto; Takashi Inoue

doi:10.1364/OE.17.014367

Spherical aberration correction suitable for a wavefront controller

Haruyasu Itoh, Naoya Matsumoto, and Takashi Inoue

Optics Express
Vol. 17,
Issue 16,
pp. 14367-14373
(2009)
•https://doi.org/10.1364/OE.17.014367

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Haruyasu Itoh, Naoya Matsumoto, and Takashi Inoue, "Spherical aberration correction suitable for a wavefront controller," Opt. Express 17, 14367-14373 (2009)

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Related Topics
Table of Contents Category
- Optical Design and Fabrication
Optics & Photonics Topics
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The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Aberration compensation (220.1000)
- Spatial light modulators (230.6120)

About this Article
History
- Original Manuscript: May 29, 2009
- Revised Manuscript: July 24, 2009
- Manuscript Accepted: July 27, 2009
- Published: July 31, 2009

Accessible

Open Access

Abstract

We propose a simple method to correct a large amount of spherical aberration caused by a refractive index mismatch. The method is based on inverse ray tracing and can generate correction phase patterns whose peak-to-valley values are minimized. We also demonstrated spherical aberration correction in a transparent acrylic block using a liquid-crystal-on-silicon spatial light modulator (LCOS-SLM). A distorted focal volume without correction was substantially improved with correction. This method is useful in cases where a large phase modulation is needed, such as when employing a high-NA lens or focusing a beam deep inside a sample.

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References

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Year
|
Author
|
Publication

M. J. Booth and T. Wilson, “Strategies for the compensation of specimen-induced spherical aberration in confocal microscopy of skin,” J. Microsc. 200(Pt 1), 68–74 (2000).
[Crossref] [PubMed]
Y. Roichman, A. Waldron, E. Gardel, and D. G. Grier, “Optical traps with geometric aberrations,” Appl. Opt. 45(15), 3425–3429 (2006).
[Crossref] [PubMed]
M. J. Booth, M. Schwertner, T. Wilson, M. Nakano, Y. Kawata, M. Nakabayashi, and S. Miyata, “Predictive aberration correction for multilayer optical data storage,” Appl. Phys. Lett. 88(3), 031109 (2006).
[Crossref]
S. Taccheo, G. Della Valle, R. Osellame, G. Cerullo, N. Chiodo, P. Laporta, O. Svelto, A. Killi, U. Morgner, M. Lederer, and D. Kopf, “Er:Yb-doped waveguide laser fabricated by femtosecond laser pulses,” Opt. Lett. 29(22), 2626–2628 (2004).
[Crossref] [PubMed]
J. P. McDonald, V. R. Mistry, K. E. Ray, and S. M. Yalisove, “Femtosecond pulsed laser direct write production of nano- and microfluidic channels,” Appl. Phys. Lett. 88(18), 183113–183115 (2006).
[Crossref]
K. Miura, J. Qiu, H. Inouye, T. Mitsuyu, and K. Hirao, “Photowritten optical waveguides in various glasses with ultrashort pulse laser,” Appl. Phys. Lett. 71(23), 3329–3331 (1997).
[Crossref]
N. Takeshima, Y. Narita, S. Tanaka, Y. Kuroiwa, and K. Hirao, “Fabrication of high-efficiency diffraction gratings in glass,” Opt. Lett. 30(4), 352–354 (2005).
[Crossref] [PubMed]
D. Homoelle, S. Wielandy, A. L. Gaeta, N. F. Borrelli, and C. Smith, “Infrared photosensitivity in silica glasses exposed to femtosecond laser pulses,” Opt. Lett. 24(18), 1311–1313 (1999).
[Crossref]
A. M. Streltsov and N. F. Borrelli, “Fabrication and analysis of a directional coupler written in glass by nanojoule femtosecond laser pulses,” Opt. Lett. 26(1), 42–43 (2001).
[Crossref]
E. Theofanidou, L. Wilson, W. J. Hossack, and J. Arlt, “Spherical aberration correction for optical tweezers,” Opt. Commun. 236(1–3), 145–150 (2004).
[Crossref]
C. Mauclair, A. Mermillod-Blondin, N. Huot, E. Audouard, and R. Stoian, “Ultrafast laser writing of homogeneous longitudinal waveguides in glasses using dynamic wavefront correction,” Opt. Express 16(8), 5481–5492 (2008), http://www.opticsinfobase.org/oe/abstract.cfm?uri=oe-16-8-5481.
[Crossref] [PubMed]
L. Sherman, J. Y. Ye, O. Albert, and T. B. Norris, “Adaptive correction of depth-induced aberrations in multiphoton scanning microscopy using a deformable mirror,” J. Microsc. 206(Pt 1), 65–71 (2002).
[Crossref] [PubMed]
M. J. Booth, M. A. A. Neil, and T. Wilson, “Aberration correction for confocal imaging in refractive-index-mismatched-media,” J. Microsc. 192(2), 90–98 (1998).
[Crossref]
T. Inoue, H. Tanaka, N. Fukuchi, M. Takumi, N. Matsumoto, T. Hara, N. Yoshida, Y. Igasaki, and Y. Kobayashi, “LCOS spatial light modulator controlled by 12-bit signals for optical phase-only modulation,” Proc. SPIE 6487, 64870Y (2007).
[Crossref]

2008 (1)

C. Mauclair, A. Mermillod-Blondin, N. Huot, E. Audouard, and R. Stoian, “Ultrafast laser writing of homogeneous longitudinal waveguides in glasses using dynamic wavefront correction,” Opt. Express 16(8), 5481–5492 (2008), http://www.opticsinfobase.org/oe/abstract.cfm?uri=oe-16-8-5481.
[Crossref] [PubMed]

2007 (1)

T. Inoue, H. Tanaka, N. Fukuchi, M. Takumi, N. Matsumoto, T. Hara, N. Yoshida, Y. Igasaki, and Y. Kobayashi, “LCOS spatial light modulator controlled by 12-bit signals for optical phase-only modulation,” Proc. SPIE 6487, 64870Y (2007).
[Crossref]

2006 (3)

Y. Roichman, A. Waldron, E. Gardel, and D. G. Grier, “Optical traps with geometric aberrations,” Appl. Opt. 45(15), 3425–3429 (2006).
[Crossref] [PubMed]

M. J. Booth, M. Schwertner, T. Wilson, M. Nakano, Y. Kawata, M. Nakabayashi, and S. Miyata, “Predictive aberration correction for multilayer optical data storage,” Appl. Phys. Lett. 88(3), 031109 (2006).
[Crossref]

J. P. McDonald, V. R. Mistry, K. E. Ray, and S. M. Yalisove, “Femtosecond pulsed laser direct write production of nano- and microfluidic channels,” Appl. Phys. Lett. 88(18), 183113–183115 (2006).
[Crossref]

2005 (1)

N. Takeshima, Y. Narita, S. Tanaka, Y. Kuroiwa, and K. Hirao, “Fabrication of high-efficiency diffraction gratings in glass,” Opt. Lett. 30(4), 352–354 (2005).
[Crossref] [PubMed]

2004 (2)

S. Taccheo, G. Della Valle, R. Osellame, G. Cerullo, N. Chiodo, P. Laporta, O. Svelto, A. Killi, U. Morgner, M. Lederer, and D. Kopf, “Er:Yb-doped waveguide laser fabricated by femtosecond laser pulses,” Opt. Lett. 29(22), 2626–2628 (2004).
[Crossref] [PubMed]

E. Theofanidou, L. Wilson, W. J. Hossack, and J. Arlt, “Spherical aberration correction for optical tweezers,” Opt. Commun. 236(1–3), 145–150 (2004).
[Crossref]

2002 (1)

L. Sherman, J. Y. Ye, O. Albert, and T. B. Norris, “Adaptive correction of depth-induced aberrations in multiphoton scanning microscopy using a deformable mirror,” J. Microsc. 206(Pt 1), 65–71 (2002).
[Crossref] [PubMed]

2001 (1)

A. M. Streltsov and N. F. Borrelli, “Fabrication and analysis of a directional coupler written in glass by nanojoule femtosecond laser pulses,” Opt. Lett. 26(1), 42–43 (2001).
[Crossref]

2000 (1)

M. J. Booth and T. Wilson, “Strategies for the compensation of specimen-induced spherical aberration in confocal microscopy of skin,” J. Microsc. 200(Pt 1), 68–74 (2000).
[Crossref] [PubMed]

1999 (1)

D. Homoelle, S. Wielandy, A. L. Gaeta, N. F. Borrelli, and C. Smith, “Infrared photosensitivity in silica glasses exposed to femtosecond laser pulses,” Opt. Lett. 24(18), 1311–1313 (1999).
[Crossref]

1998 (1)

M. J. Booth, M. A. A. Neil, and T. Wilson, “Aberration correction for confocal imaging in refractive-index-mismatched-media,” J. Microsc. 192(2), 90–98 (1998).
[Crossref]

1997 (1)

K. Miura, J. Qiu, H. Inouye, T. Mitsuyu, and K. Hirao, “Photowritten optical waveguides in various glasses with ultrashort pulse laser,” Appl. Phys. Lett. 71(23), 3329–3331 (1997).
[Crossref]

Albert, O.

Arlt, J.

E. Theofanidou, L. Wilson, W. J. Hossack, and J. Arlt, “Spherical aberration correction for optical tweezers,” Opt. Commun. 236(1–3), 145–150 (2004).
[Crossref]

Audouard, E.

Booth, M. J.

M. J. Booth and T. Wilson, “Strategies for the compensation of specimen-induced spherical aberration in confocal microscopy of skin,” J. Microsc. 200(Pt 1), 68–74 (2000).
[Crossref] [PubMed]

M. J. Booth, M. A. A. Neil, and T. Wilson, “Aberration correction for confocal imaging in refractive-index-mismatched-media,” J. Microsc. 192(2), 90–98 (1998).
[Crossref]

Borrelli, N. F.

A. M. Streltsov and N. F. Borrelli, “Fabrication and analysis of a directional coupler written in glass by nanojoule femtosecond laser pulses,” Opt. Lett. 26(1), 42–43 (2001).
[Crossref]

Cerullo, G.

Chiodo, N.

Fukuchi, N.

Gaeta, A. L.

Gardel, E.

Y. Roichman, A. Waldron, E. Gardel, and D. G. Grier, “Optical traps with geometric aberrations,” Appl. Opt. 45(15), 3425–3429 (2006).
[Crossref] [PubMed]

Grier, D. G.

Y. Roichman, A. Waldron, E. Gardel, and D. G. Grier, “Optical traps with geometric aberrations,” Appl. Opt. 45(15), 3425–3429 (2006).
[Crossref] [PubMed]

Hara, T.

Hirao, K.

N. Takeshima, Y. Narita, S. Tanaka, Y. Kuroiwa, and K. Hirao, “Fabrication of high-efficiency diffraction gratings in glass,” Opt. Lett. 30(4), 352–354 (2005).
[Crossref] [PubMed]

K. Miura, J. Qiu, H. Inouye, T. Mitsuyu, and K. Hirao, “Photowritten optical waveguides in various glasses with ultrashort pulse laser,” Appl. Phys. Lett. 71(23), 3329–3331 (1997).
[Crossref]

Homoelle, D.

Hossack, W. J.

E. Theofanidou, L. Wilson, W. J. Hossack, and J. Arlt, “Spherical aberration correction for optical tweezers,” Opt. Commun. 236(1–3), 145–150 (2004).
[Crossref]

Huot, N.

Igasaki, Y.

Inoue, T.

Inouye, H.

K. Miura, J. Qiu, H. Inouye, T. Mitsuyu, and K. Hirao, “Photowritten optical waveguides in various glasses with ultrashort pulse laser,” Appl. Phys. Lett. 71(23), 3329–3331 (1997).
[Crossref]

Kawata, Y.

Killi, A.

Kobayashi, Y.

Kopf, D.

Kuroiwa, Y.

N. Takeshima, Y. Narita, S. Tanaka, Y. Kuroiwa, and K. Hirao, “Fabrication of high-efficiency diffraction gratings in glass,” Opt. Lett. 30(4), 352–354 (2005).
[Crossref] [PubMed]

Laporta, P.

Lederer, M.

Matsumoto, N.

Mauclair, C.

McDonald, J. P.

Mermillod-Blondin, A.

Mistry, V. R.

Mitsuyu, T.

K. Miura, J. Qiu, H. Inouye, T. Mitsuyu, and K. Hirao, “Photowritten optical waveguides in various glasses with ultrashort pulse laser,” Appl. Phys. Lett. 71(23), 3329–3331 (1997).
[Crossref]

Miura, K.

K. Miura, J. Qiu, H. Inouye, T. Mitsuyu, and K. Hirao, “Photowritten optical waveguides in various glasses with ultrashort pulse laser,” Appl. Phys. Lett. 71(23), 3329–3331 (1997).
[Crossref]

Miyata, S.

Morgner, U.

Nakabayashi, M.

Nakano, M.

Narita, Y.

N. Takeshima, Y. Narita, S. Tanaka, Y. Kuroiwa, and K. Hirao, “Fabrication of high-efficiency diffraction gratings in glass,” Opt. Lett. 30(4), 352–354 (2005).
[Crossref] [PubMed]

Neil, M. A. A.

M. J. Booth, M. A. A. Neil, and T. Wilson, “Aberration correction for confocal imaging in refractive-index-mismatched-media,” J. Microsc. 192(2), 90–98 (1998).
[Crossref]

Norris, T. B.

Osellame, R.

Qiu, J.

K. Miura, J. Qiu, H. Inouye, T. Mitsuyu, and K. Hirao, “Photowritten optical waveguides in various glasses with ultrashort pulse laser,” Appl. Phys. Lett. 71(23), 3329–3331 (1997).
[Crossref]

Ray, K. E.

Roichman, Y.

Y. Roichman, A. Waldron, E. Gardel, and D. G. Grier, “Optical traps with geometric aberrations,” Appl. Opt. 45(15), 3425–3429 (2006).
[Crossref] [PubMed]

Schwertner, M.

Sherman, L.

Smith, C.

Stoian, R.

Streltsov, A. M.

A. M. Streltsov and N. F. Borrelli, “Fabrication and analysis of a directional coupler written in glass by nanojoule femtosecond laser pulses,” Opt. Lett. 26(1), 42–43 (2001).
[Crossref]

Svelto, O.

Taccheo, S.

Takeshima, N.

N. Takeshima, Y. Narita, S. Tanaka, Y. Kuroiwa, and K. Hirao, “Fabrication of high-efficiency diffraction gratings in glass,” Opt. Lett. 30(4), 352–354 (2005).
[Crossref] [PubMed]

Takumi, M.

Tanaka, H.

Tanaka, S.

N. Takeshima, Y. Narita, S. Tanaka, Y. Kuroiwa, and K. Hirao, “Fabrication of high-efficiency diffraction gratings in glass,” Opt. Lett. 30(4), 352–354 (2005).
[Crossref] [PubMed]

Theofanidou, E.

E. Theofanidou, L. Wilson, W. J. Hossack, and J. Arlt, “Spherical aberration correction for optical tweezers,” Opt. Commun. 236(1–3), 145–150 (2004).
[Crossref]

Valle, G. Della

Waldron, A.

Y. Roichman, A. Waldron, E. Gardel, and D. G. Grier, “Optical traps with geometric aberrations,” Appl. Opt. 45(15), 3425–3429 (2006).
[Crossref] [PubMed]

Wielandy, S.

Wilson, L.

E. Theofanidou, L. Wilson, W. J. Hossack, and J. Arlt, “Spherical aberration correction for optical tweezers,” Opt. Commun. 236(1–3), 145–150 (2004).
[Crossref]

Wilson, T.

M. J. Booth and T. Wilson, “Strategies for the compensation of specimen-induced spherical aberration in confocal microscopy of skin,” J. Microsc. 200(Pt 1), 68–74 (2000).
[Crossref] [PubMed]

M. J. Booth, M. A. A. Neil, and T. Wilson, “Aberration correction for confocal imaging in refractive-index-mismatched-media,” J. Microsc. 192(2), 90–98 (1998).
[Crossref]

Yalisove, S. M.

Ye, J. Y.

Yoshida, N.

Appl. Opt. (1)

Y. Roichman, A. Waldron, E. Gardel, and D. G. Grier, “Optical traps with geometric aberrations,” Appl. Opt. 45(15), 3425–3429 (2006).
[Crossref] [PubMed]

Appl. Phys. Lett. (3)

K. Miura, J. Qiu, H. Inouye, T. Mitsuyu, and K. Hirao, “Photowritten optical waveguides in various glasses with ultrashort pulse laser,” Appl. Phys. Lett. 71(23), 3329–3331 (1997).
[Crossref]

J. Microsc. (3)

M. J. Booth, M. A. A. Neil, and T. Wilson, “Aberration correction for confocal imaging in refractive-index-mismatched-media,” J. Microsc. 192(2), 90–98 (1998).
[Crossref]

M. J. Booth and T. Wilson, “Strategies for the compensation of specimen-induced spherical aberration in confocal microscopy of skin,” J. Microsc. 200(Pt 1), 68–74 (2000).
[Crossref] [PubMed]

Opt. Commun. (1)

E. Theofanidou, L. Wilson, W. J. Hossack, and J. Arlt, “Spherical aberration correction for optical tweezers,” Opt. Commun. 236(1–3), 145–150 (2004).
[Crossref]

Opt. Express (1)

Opt. Lett. (4)

N. Takeshima, Y. Narita, S. Tanaka, Y. Kuroiwa, and K. Hirao, “Fabrication of high-efficiency diffraction gratings in glass,” Opt. Lett. 30(4), 352–354 (2005).
[Crossref] [PubMed]

A. M. Streltsov and N. F. Borrelli, “Fabrication and analysis of a directional coupler written in glass by nanojoule femtosecond laser pulses,” Opt. Lett. 26(1), 42–43 (2001).
[Crossref]

Proc. SPIE (1)

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Fig. 1.

Focusing geometry showing the refraction of rays at the interface between two media of different refractive indexes.

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Fig. 2.

Schematic of the experimental system: LD, Laser Diode; L1, achromatic lens; PM, prism mirror; SLM, LCOS-SLM; L1, L2, plano-convex lenses; M, dielectric mirror; OL1, OL2, microscope objectives; ACR, acrylic block; ET, extension tube; EXT, extender; CCD, charge-coupled device.

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Fig. 3.

Observed side views of focal spots without correction when (a) d’ = 100 μm, (b) d’ = 500 μm, and (c) d’ = 1000 μm. The intensities are normalized and the observed areas shown are 60 μm × 60 μm. Axial cross-sections at the center are overlaid.

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Fig. 4.

Observed side views of focal spots with correction when (a) d’ = 100 μm, (b) d’ = 500 μm, and (c) d’ = 1000 μm using our method. The intensities are normalized and the observation areas shown are 60 μm × 60 μm. Axial cross-sections at the center are overlaid.

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Fig. 5.

Pre-distortion patterns displayed on the SLM (top) and their profiles (bottom) for (a) d’ = 100 μm, (b) d’ = 500 μm, and (c) d’ = 1000 μm.

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Fig. 6.

Profiles of pre-distortion patterns generated by our approach and the conventional method for a focus depth of 1 mm.

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Fig. 7.

Observed side views of focal spots with correction when (a) d’ = 100 μm, (b) d’ = 500 μm, and (c) d’ = 1000 μm using the conventional method. The intensities are normalized and the observation areas shown are 60 μm × 60 μm. Axial cross-sections at the center are also overlaid.

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Fig. 8.

The measured focus depths in cases where aberration was corrected by our method (solid line) and the conventional method (dashed line).

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Equations (6)

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Φ (θ) = n_{1} \times \bar{AB} + n_{2} \times \bar{BO'}

= \frac{n_{1} \times (f \times \cos θ - d')}{\cos θ_{1}} + \frac{n_{2} \times d}{\cos θ_{2}},

h_{1} = (f \times \cos θ - d) \times \tan θ_{1},

h_{1} = d' \times \tan {\sin^{- 1} (\frac{n_{1}}{n_{2}} \sin θ_{1})},

h = h_{1} + h_{2} = f \times \sin θ .

θ = θ_{1} + \sin^{- 1} {(\frac{\cos θ_{1}}{f}) \times (\frac{d' n_{1} \sin θ_{1}}{\sqrt{n_{2}^{2} - n_{1}^{2} \sin^{2} θ_{1}}} - d \times \tan θ_{1})} .