Spectral phase retrieval from interferometric autocorrelation by a combination of graduated optimization and genetic algorithms

doi:10.1364/OE.18.015028

Spectral phase retrieval from interferometric autocorrelation by a combination of graduated optimization and genetic algorithms

Wenlong Yang, Matthew Springer, James Strohaber, Alexandre Kolomenski, Hans Schuessler, George Kattawar, and Alexei Sokolov »View Author Affiliations

Optics Express, Vol. 18, Issue 14, pp. 15028-15038 (2010)
http://dx.doi.org/10.1364/OE.18.015028

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Abstract

We describe a method for retrieving spectral phase information from second harmonic interferometric autocorrelation measurements supplemented by the use of the observed spectral intensity. By applying a combination of graduated optimization and genetic algorithms, accurate phase retrieval of laser pulses as short as a few optical cycles was obtained from the measured autocorrelation and spectral intensity. The effectiveness of the combined algorithms is demonstrated on a set of significantly different femtosecond pulse shapes.

OCIS Codes
(100.5070) Image processing : Phase retrieval
(320.5550) Ultrafast optics : Pulses
(320.7100) Ultrafast optics : Ultrafast measurements

ToC Category:
Ultrafast Optics

History
Original Manuscript: May 17, 2010
Revised Manuscript: June 14, 2010
Manuscript Accepted: June 17, 2010
Published: June 29, 2010

Citation
Wenlong Yang, Matthew Springer, James Strohaber, Alexandre Kolomenski, Hans Schuessler, George Kattawar, and Alexei Sokolov, "Spectral phase retrieval from interferometric autocorrelation by a combination of graduated optimization and genetic algorithms," Opt. Express 18, 15028-15038 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-14-15028

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References

J.-C. Diels, and W. Rodulph, Ultrashort Laser Pulse Phenomena, (Elsevier, 2006), Chap. 9.
T. Trebino, Frequency-Resolved Optical Gating: The Measurement of Ultrashort Laser Pulses, (Kluwer Academic Publishers, 2000).
C. Iaconis and I. A. Walmsley, “Spectral phase interferometry for direct electric-field reconstruction of ultrashort optical pulses,” Opt. Lett. 23(10), 792–794 (1998). [CrossRef]
M. Takeda, H. Ina, and S. Kobayashi, “Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry,” J. Opt. Soc. Am. 72(1), 156–160 (1982). [CrossRef]
K. Naganuma, K. Mogi, and H. Yamada, “General method for ultrashort light pulse chirp Measurement,” IEEE J. Quantum Electron. 25, 6 (1989).
M. Mitchell, An Introduction To Genetic Algorithms, (MIT, 1998).
R. S. Judson and H. Rabitz, “Teaching lasers to control molecules,” Phys. Rev. Lett. 68(10), 1500–1503 (1992). [CrossRef] [PubMed]
C. J. Bardeen, V. V. Yakovlev, K. R. Wilson, S. D. Carpenter, P. M. Weber, and W. S. Warren, “Feedback quantum control of molecular electronic population transfer,” Chem. Phys. Lett. 280(1-2), 151–158 (1997). [CrossRef]
T. Baumert, T. Brixner, V. Seyfried, M. Strehle, and G. Gerber, “Femtosecond pulse shaping by an evolutionary algorithm with feedback,” Appl. Phys. B 65(6), 779–782 (1997). [CrossRef]
A. Efimov, M. D. Moores, N. M. Beach, J. L. Krause, and D. H. Reitze, “Adaptive control of pulse phase in a chirped-pulse amplifier,” Opt. Lett. 23(24), 1915–1917 (1998). [CrossRef]
E. Zeek, K. Maginnis, S. Backus, U. Russek, M. Murnane, G. Mourou, H. Kapteyn, and G. Vdovin, “Pulse compression by use of deformable mirrors,” Opt. Lett. 24(7), 493–495 (1999). [CrossRef]
T. Hornung, R. Meier, D. Zeidler, K.-L. Kompa, D. Proch, and M. Motzkus, “Optimal control of one- and two-photon transitions with shaped femtosecond pulses and feedback,” Appl. Phys. B 71, 277–284 (2000).
B. J. Pearson, J. L. White, T. C. Weinacht, and P. H. Bucksbaum, “Coherent control using adaptive learning algorithms,” Phys. Rev. A 63(6), 063412 (2001). [CrossRef]
F. G. Omenetto, A. J. Taylor, M. D. Moores, and D. H. Reitze, “Adaptive control of femtosecond pulse propagation in optical fibers,” Opt. Lett. 26(12), 938–940 (2001). [CrossRef]
J. W. Nicholson, F. G. Omenetto, D. J. Funk, and A. J. Taylor, “Evolving FROGS: phase retrieval from frequency-resolved optical gating measurements by use of genetic algorithms,” Opt. Lett. 24(7), 490–492 (1999). [CrossRef]
R. Mizoguchi, K. Onda, S. S. Kano, and A. Wada, “Thinning-out in optimized pulse shaping method using genetic algorithm,” Rev. Sci. Instrum. 74(5), 2670–2674 (2003). [CrossRef]
E. Carroll, A. Florean, J. L. White, P. H. Bucksbaum, and R. J. Sension, “Control of 1,3-Cyclohexadiene Ring-Opening,” Ultra-fast Phenomena 88, 249–251 (2007). [CrossRef]
C.-W. Chen, J. Y. Huang, and C.-L. Pan, “Pulse retrieval from interferometric autocorrelation measurement by use of the population-split genetic algorithm,” Opt. Express 14, 22 (2006).
K.-H. Hong, Y. S. Lee, and C. H. Nam, “Electric-field reconstruction of femtosecond laser pulses from interferometric autocorrelation using an evolutionary algorithm,” Opt. Commun. 271(1), 169–177 (2007). [CrossRef]
J.-H. Chung and A. M. Weiner, “Ambiguity of Ultrashort Pulse Shapes Retrieved From the Intensity Autocorrelation and the Power Spectrum,” IEEE J. Sel. Top. Quantum Electron. 7(4), 656–666 (2001). [CrossRef]
D. A. Bender, J. W. Nicholson, and M. Sheik-Bahae, “Ultrashort laser pulse characterization using modified spectrum auto-interferometric correlation (MOSAIC),” Opt. Express 16(16), 11782–11794 (2008). [CrossRef] [PubMed]
D. A. Bender and M. Sheik-Bahae, “Modified spectrum autointerferometric correlation (MOSAIC) for single-shot pulse characterization,” Opt. Lett. 32(19), 2822–2824 (2007). [CrossRef] [PubMed]
A. Rosenfeld, Multiresolution Image Processing and Analysis (Springer, 1984).

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[1] J.-C. Diels, and W. Rodulph, Ultrashort Laser Pulse Phenomena, (Elsevier, 2006), Chap. 9.

[2] T. Trebino, Frequency-Resolved Optical Gating: The Measurement of Ultrashort Laser Pulses, (Kluwer Academic Publishers, 2000).

[3] C. Iaconis and I. A. Walmsley, “Spectral phase interferometry for direct electric-field reconstruction of ultrashort optical pulses,” Opt. Lett. 23(10), 792–794 (1998). [CrossRef]

[4] M. Takeda, H. Ina, and S. Kobayashi, “Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry,” J. Opt. Soc. Am. 72(1), 156–160 (1982). [CrossRef]

[5] K. Naganuma, K. Mogi, and H. Yamada, “General method for ultrashort light pulse chirp Measurement,” IEEE J. Quantum Electron. 25, 6 (1989).

[6] M. Mitchell, An Introduction To Genetic Algorithms, (MIT, 1998).

[7] R. S. Judson and H. Rabitz, “Teaching lasers to control molecules,” Phys. Rev. Lett. 68(10), 1500–1503 (1992). [CrossRef] [PubMed]

[8] C. J. Bardeen, V. V. Yakovlev, K. R. Wilson, S. D. Carpenter, P. M. Weber, and W. S. Warren, “Feedback quantum control of molecular electronic population transfer,” Chem. Phys. Lett. 280(1-2), 151–158 (1997). [CrossRef]

[9] T. Baumert, T. Brixner, V. Seyfried, M. Strehle, and G. Gerber, “Femtosecond pulse shaping by an evolutionary algorithm with feedback,” Appl. Phys. B 65(6), 779–782 (1997). [CrossRef]

[10] A. Efimov, M. D. Moores, N. M. Beach, J. L. Krause, and D. H. Reitze, “Adaptive control of pulse phase in a chirped-pulse amplifier,” Opt. Lett. 23(24), 1915–1917 (1998). [CrossRef]

[11] E. Zeek, K. Maginnis, S. Backus, U. Russek, M. Murnane, G. Mourou, H. Kapteyn, and G. Vdovin, “Pulse compression by use of deformable mirrors,” Opt. Lett. 24(7), 493–495 (1999). [CrossRef]

[12] T. Hornung, R. Meier, D. Zeidler, K.-L. Kompa, D. Proch, and M. Motzkus, “Optimal control of one- and two-photon transitions with shaped femtosecond pulses and feedback,” Appl. Phys. B 71, 277–284 (2000).

[13] B. J. Pearson, J. L. White, T. C. Weinacht, and P. H. Bucksbaum, “Coherent control using adaptive learning algorithms,” Phys. Rev. A 63(6), 063412 (2001). [CrossRef]

[14] F. G. Omenetto, A. J. Taylor, M. D. Moores, and D. H. Reitze, “Adaptive control of femtosecond pulse propagation in optical fibers,” Opt. Lett. 26(12), 938–940 (2001). [CrossRef]

[15] J. W. Nicholson, F. G. Omenetto, D. J. Funk, and A. J. Taylor, “Evolving FROGS: phase retrieval from frequency-resolved optical gating measurements by use of genetic algorithms,” Opt. Lett. 24(7), 490–492 (1999). [CrossRef]

[16] R. Mizoguchi, K. Onda, S. S. Kano, and A. Wada, “Thinning-out in optimized pulse shaping method using genetic algorithm,” Rev. Sci. Instrum. 74(5), 2670–2674 (2003). [CrossRef]

[17] E. Carroll, A. Florean, J. L. White, P. H. Bucksbaum, and R. J. Sension, “Control of 1,3-Cyclohexadiene Ring-Opening,” Ultra-fast Phenomena 88, 249–251 (2007). [CrossRef]

[18] C.-W. Chen, J. Y. Huang, and C.-L. Pan, “Pulse retrieval from interferometric autocorrelation measurement by use of the population-split genetic algorithm,” Opt. Express 14, 22 (2006).

[19] K.-H. Hong, Y. S. Lee, and C. H. Nam, “Electric-field reconstruction of femtosecond laser pulses from interferometric autocorrelation using an evolutionary algorithm,” Opt. Commun. 271(1), 169–177 (2007). [CrossRef]

[20] J.-H. Chung and A. M. Weiner, “Ambiguity of Ultrashort Pulse Shapes Retrieved From the Intensity Autocorrelation and the Power Spectrum,” IEEE J. Sel. Top. Quantum Electron. 7(4), 656–666 (2001). [CrossRef]

[21] D. A. Bender, J. W. Nicholson, and M. Sheik-Bahae, “Ultrashort laser pulse characterization using modified spectrum auto-interferometric correlation (MOSAIC),” Opt. Express 16(16), 11782–11794 (2008). [CrossRef] [PubMed]

[22] D. A. Bender and M. Sheik-Bahae, “Modified spectrum autointerferometric correlation (MOSAIC) for single-shot pulse characterization,” Opt. Lett. 32(19), 2822–2824 (2007). [CrossRef] [PubMed]

[23] A. Rosenfeld, Multiresolution Image Processing and Analysis (Springer, 1984).

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Spectral phase retrieval from interferometric autocorrelation by a combination of graduated optimization and genetic algorithms