A phase retrieval method using an error reduction algorithm is developed for reconstructing a wavefront aberration of an 100-TW Ti:sapphire laser pulse from the measurement of a focal spot. The phase retrieval method can successfully reconstruct a wavefront aberration of a 100-TW Ti:sapphire laser pulse, and the reconstructed wavefront aberration shows a good agreement with the wavefront aberration measured with a wavefront sensor. The effect of the dynamic range and the intensity noise on the reconstruction is also investigated in reconstructing a wavefront aberration of an 100-TW Ti:sapphire laser pulse.

© 2008 Optical Society of Korea

1. N. M. Hafz, I. W. Choi, J. H. Sung, H. T. Kim, K.-H. Hong, T. M. Jeong, T. J. Yu, V. Kulagin, H. Suk, Y.-C. Noh, D.-K. Ko, and J. Lee, "Dependence of the electron beam parameters on the stability of laser propagation in a laser wakefield accelerator," Appl. Phys. Lett., vol. 90, 151501, 2007
2. N. M. Hafz, T. M. Jeong, I. W. Choi, S. K. Lee, K. H. Pae, V. Kulagin, J. H. Sung, T. J. Yu, K.-H. Hong, T. Hosokai, J. R. Cary, D.-K. Ko, and J. Lee, “Stable generation of GeV-class electron beams from self-guided laser plasma channels,” Nature Photonics, vol. 2, pp.571-577, 2008 [CrossRef]
3. T. M. Jeong, I. W. Choi, N. Hafz, J. H. Sung, D.-K. Ko, and J. Lee, “Wavefront Correction and Customization of Focal Spot of 100 TW Ti:sapphire Laser System,” Jpn. J. Appl. Phys., vol. 46, no. 12, pp. 7724-7730, 2007 [CrossRef]
4. T. M. Jeong, D.-K. Ko, and J. Lee, "Method of reconstructing wavefront aberrations by use of Zernike polynomials in radial shearing interferometers," Opt. Lett., vol. 32, no. 3, pp. 232-234, 2007 [CrossRef]
5. T. M. Jeong, M. Menon, and G. Yoon, "Measurement of wave-front aberration in soft contact lenses by use of a Shack-Hartmann wavefront sensor," Appl. Opt., vol. 44, no. 21, pp. 4523-4527, 2005 [CrossRef]
6. J. H. Lee, Y. C. Lee, and H. J. Cheon, "A Circular Bimorph Deformable Mirror for Circular/Annulus/Square Laser Beam Compensation," J. Opt. Soc. Korea, vol. 10, no. 1, pp. 23-27, 2006
7. J. H. Lee, Y. C. Lee, and E. C. Kang, "A Cooled Deformable Bimorph Mirror for a High Power Laser," J. Opt. Soc. Korea, vol. 10, no. 2, pp. 57-62, 2006
8. J. R. Fienup,"Phase retrieval algorithms: a comparison," Appl. Opt., vol. 21, no. 15, pp. 2758-2769 1982
9. J. N. Ciderquist, J. R. Fienup, C. C. Wackerman, S. R. Robinson, and D. Kryskowski, "Wavefront phase estimation from Fourier intensity measurements," J. Opt. Soc. Am. A, vol. 6, no. 7, pp. 1020-1026, 1989 [CrossRef]
10. F. Roddier and C. Roddier, "Wavefront reconstruction using iterative Fourier transforms," Appl. Opt., vol. 30, no. 11, pp. 1325-1327, 1991
11. J. Miao, P. Charalambous, J. Kirz, and D. Sayre, "Extending the methodology of X-ray crystallography to allow imaging of micrometer-sized non-crystalline specimens," Nature, vol. 400, pp. 342-344, 1999 [CrossRef]
12. V. Yu. Ivanov, V. P. Sivokon, and M. A. Vorontsov, "Phase retrieval from a set of intensity measurements: theory and experiment," J. Opt. Soc. Am. A, vol. 9, no. 9, pp. 1515-1524, 1992 [CrossRef]
13. S. Matsuoka and K. Yamakawa, "Wave-front measurements of terawatt-class ultrashort laser pulses by the Fresnel phase-retrieval method," J. Opt. Soc. Am. B, vol. 17, no. 4, pp. 663-667, 2000 [CrossRef]
14. ANSI Z80.28-2004, Methods for reporting optical aberrations of eyes (American National Standards Institute, 2004)
15. T. M. Jeong, I. W. Choi, J. H. Sung, H. T. Kim, K-H. Hong, T. J. Yu, J. H. Kim, Y.-C. Noh, D.-K. Ko, J. Lee, A. Sagisaka, A. Yogo, and H. Daido, "Measurement of the Electron Density Produced by the Prepulse in an Experiment of High Energy Proton Beam Generation," J. Korean Phys. Soc., vol. 50, no. 1, pp. 34-39, 2007
16. T. M. Jeong, D.-K. Ko, and J. Lee, "Deformation of the Focal Spot of an Ultrashort High-Power Laser Pulse due to Chromatic Aberration by a Beam Expander," J. Korean Phys. Soc., vol. 52, no. 6, pp. 1767-1773, 2008

Appl. Opt.

• J. R. Fienup,"Phase retrieval algorithms: a comparison," Appl. Opt., vol. 21, no. 15, pp. 2758-2769 1982
• F. Roddier and C. Roddier, "Wavefront reconstruction using iterative Fourier transforms," Appl. Opt., vol. 30, no. 11, pp. 1325-1327, 1991

Appl. Phys. Lett.

• N. M. Hafz, I. W. Choi, J. H. Sung, H. T. Kim, K.-H. Hong, T. M. Jeong, T. J. Yu, V. Kulagin, H. Suk, Y.-C. Noh, D.-K. Ko, and J. Lee, "Dependence of the electron beam parameters on the stability of laser propagation in a laser wakefield accelerator," Appl. Phys. Lett., vol. 90, 151501, 2007

Applied Optics

• T. M. Jeong, M. Menon, and G. Yoon, "Measurement of wave-front aberration in soft contact lenses by use of a Shack-Hartmann wavefront sensor," Appl. Opt., vol. 44, no. 21, pp. 4523-4527, 2005 [CrossRef]

J. Korean Phys. Soc.

• T. M. Jeong, I. W. Choi, J. H. Sung, H. T. Kim, K-H. Hong, T. J. Yu, J. H. Kim, Y.-C. Noh, D.-K. Ko, J. Lee, A. Sagisaka, A. Yogo, and H. Daido, "Measurement of the Electron Density Produced by the Prepulse in an Experiment of High Energy Proton Beam Generation," J. Korean Phys. Soc., vol. 50, no. 1, pp. 34-39, 2007
• T. M. Jeong, D.-K. Ko, and J. Lee, "Deformation of the Focal Spot of an Ultrashort High-Power Laser Pulse due to Chromatic Aberration by a Beam Expander," J. Korean Phys. Soc., vol. 52, no. 6, pp. 1767-1773, 2008

JOSA A

• V. Yu. Ivanov, V. P. Sivokon, and M. A. Vorontsov, "Phase retrieval from a set of intensity measurements: theory and experiment," J. Opt. Soc. Am. A, vol. 9, no. 9, pp. 1515-1524, 1992 [CrossRef]
• J. N. Ciderquist, J. R. Fienup, C. C. Wackerman, S. R. Robinson, and D. Kryskowski, "Wavefront phase estimation from Fourier intensity measurements," J. Opt. Soc. Am. A, vol. 6, no. 7, pp. 1020-1026, 1989 [CrossRef]

JOSA B

• S. Matsuoka and K. Yamakawa, "Wave-front measurements of terawatt-class ultrashort laser pulses by the Fresnel phase-retrieval method," J. Opt. Soc. Am. B, vol. 17, no. 4, pp. 663-667, 2000 [CrossRef]

Journal of the Optical Society of Korea

• J. H. Lee, Y. C. Lee, and H. J. Cheon, "A Circular Bimorph Deformable Mirror for Circular/Annulus/Square Laser Beam Compensation," J. Opt. Soc. Korea, vol. 10, no. 1, pp. 23-27, 2006
• J. H. Lee, Y. C. Lee, and E. C. Kang, "A Cooled Deformable Bimorph Mirror for a High Power Laser," J. Opt. Soc. Korea, vol. 10, no. 2, pp. 57-62, 2006

Nature

• J. Miao, P. Charalambous, J. Kirz, and D. Sayre, "Extending the methodology of X-ray crystallography to allow imaging of micrometer-sized non-crystalline specimens," Nature, vol. 400, pp. 342-344, 1999 [CrossRef]

Nature Photonics

• N. M. Hafz, T. M. Jeong, I. W. Choi, S. K. Lee, K. H. Pae, V. Kulagin, J. H. Sung, T. J. Yu, K.-H. Hong, T. Hosokai, J. R. Cary, D.-K. Ko, and J. Lee, “Stable generation of GeV-class electron beams from self-guided laser plasma channels,” Nature Photonics, vol. 2, pp.571-577, 2008 [CrossRef]
• T. M. Jeong, I. W. Choi, N. Hafz, J. H. Sung, D.-K. Ko, and J. Lee, “Wavefront Correction and Customization of Focal Spot of 100 TW Ti:sapphire Laser System,” Jpn. J. Appl. Phys., vol. 46, no. 12, pp. 7724-7730, 2007 [CrossRef]

Optics Letters

• T. M. Jeong, D.-K. Ko, and J. Lee, "Method of reconstructing wavefront aberrations by use of Zernike polynomials in radial shearing interferometers," Opt. Lett., vol. 32, no. 3, pp. 232-234, 2007 [CrossRef]

Other

• ANSI Z80.28-2004, Methods for reporting optical aberrations of eyes (American National Standards Institute, 2004)

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