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)

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]

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

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)

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]

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]

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})} .