Spectral Mirror Imaging in Ultrafast Optical Parametric Processes

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Spectral Mirror Imaging in Ultrafast Optical Parametric Processes Chenji Gu, Boaz Ilan, Jay E.

Spectral Mirror Imaging in Ultrafast Optical Parametric Processes Chenji Gu, Boaz Ilan, Jay E. Sharping, Univ. of California at Merced, USA AFOSR Young Investigator Program jsharping@ucmerced. edu

Outline • Spectral Mirror Imaging (SMI) • Relation with Temporal Phase Conjugation • An

Outline • Spectral Mirror Imaging (SMI) • Relation with Temporal Phase Conjugation • An SMI system • Fiber (third-order nonlinearity) Optical Parametric Processes • Performance of an SMI system • Both experiments and simulations jsharping@ucmerced. edu Spectral Mirror Imaging in Ultrafast Optical Parametric Processes QF 2 G. 8 , CLEO 2012 – p. 1/12

Spectral Mirror Imaging • SMI is a spectral realization of Temporal Phase Conjugation. jsharping@ucmerced.

Spectral Mirror Imaging • SMI is a spectral realization of Temporal Phase Conjugation. jsharping@ucmerced. edu Spectral Mirror Imaging in Ultrafast Optical Parametric Processes QF 2 G. 8 , CLEO 2012 – p. 2/12

Concept of SMI • • Electric fields of pulses: • -- slowly varying complex

Concept of SMI • • Electric fields of pulses: • -- slowly varying complex envelops • -- rapidly varying carrier waves Spectra of pulses: • -- the spectra of each pulse jsharping@ucmerced. edu Spectral Mirror Imaging in Ultrafast Optical Parametric Processes QF 2 G. 8 , CLEO 2012 – p. 3/12

Concept of SMI • • • SMI: Temporal Phase Conjugation: Relation: jsharping@ucmerced. edu Spectral

Concept of SMI • • • SMI: Temporal Phase Conjugation: Relation: jsharping@ucmerced. edu Spectral Mirror Imaging in Ultrafast Optical Parametric Processes QF 2 G. 8 , CLEO 2012 – p. 3/12

Spectral Mirror Imaging • SMI is a spectral realization of Temporal Phase Conjugation. jsharping@ucmerced.

Spectral Mirror Imaging • SMI is a spectral realization of Temporal Phase Conjugation. jsharping@ucmerced. edu Spectral Mirror Imaging in Ultrafast Optical Parametric Processes QF 2 G. 8 , CLEO 2012 – p. 2/12

Prior work on Temporal Phase Conjugation I • Watanabe, S. , et al, “Compensation

Prior work on Temporal Phase Conjugation I • Watanabe, S. , et al, “Compensation of chromatic dispersion in a single-mode fiber by optical phase conjugation”. IEEE Photonics Technol. Lett. 5, 92 (1993). Merely using the concept of phase conjugation for other applications rather than understanding fundamental principles. • A. H. Gnauck, et al, “ 10 -Gb/s 360 -km transmission over dispersive fiber using midsystem spectral inversion”. IEEE Photon. Technol. Lett. 5 (6), 663 (1993). jsharping@ucmerced. edu Spectral Mirror Imaging in Ultrafast Optical Parametric Processes QF 2 G. 8 , CLEO 2012 – p. 4/12

Prior work on Temporal Phase Conjugation II • Mori, K. , et al, “M.

Prior work on Temporal Phase Conjugation II • Mori, K. , et al, “M. Wavelengthshift-free spectral inversion with an optical parametric loop mirror”. Opt. Lett. 21, 110 (1996). jsharping@ucmerced. edu Spectral Mirror Imaging in Ultrafast Optical Parametric Processes QF 2 G. 8 , CLEO 2012 – p. 5/12

Prior work on Temporal Phase Conjugation II • Inoue, K. “Spectral inversion with no

Prior work on Temporal Phase Conjugation II • Inoue, K. “Spectral inversion with no wavelength shift based on four-wave mixing with orthogonal pump beams”. Opt. Lett. 22, 1772 (1997). jsharping@ucmerced. edu Spectral Mirror Imaging in Ultrafast Optical Parametric Processes QF 2 G. 8 , CLEO 2012 – p. 5/12

Comparison with our work: Prior work on Temporal Phase Conjugation III • Spectral reversal

Comparison with our work: Prior work on Temporal Phase Conjugation III • Spectral reversal with tunable wavelength offset • First to report and carefully study spectral realizations of temporal phase conjugation: • The physical mechanisms of SMI • Experimentally demonstration with simulation support jsharping@ucmerced. edu Spectral Mirror Imaging in Ultrafast Optical Parametric Processes QF 2 G. 8 , CLEO 2012 – p. 6/12

An SMI system • Fiber optical parametric processes jsharping@ucmerced. edu Spectral Mirror Imaging in

An SMI system • Fiber optical parametric processes jsharping@ucmerced. edu Spectral Mirror Imaging in Ultrafast Optical Parametric Processes QF 2 G. 8 , CLEO 2012 – p. 7/12

Analytic solutions for the physics of SMI • Two assumptions: • • Undepleted pump

Analytic solutions for the physics of SMI • Two assumptions: • • Undepleted pump Phase matching condition met: (*) (i) Temporal Phase Conjugation • jsharping@ucmerced. edu -- SMI Spectral Mirror Imaging in Ultrafast Optical Parametric Processes QF 2 G. 8 , CLEO 2012 – p. 8/12

An SMI system • Fiber-based pulsed optical parametric processes. Adjustable delay jsharping@ucmerced. edu Spectral

An SMI system • Fiber-based pulsed optical parametric processes. Adjustable delay jsharping@ucmerced. edu Spectral Mirror Imaging in Ultrafast Optical Parametric Processes QF 2 G. 8 , CLEO 2012 – p. 9/12

A picosecond FOPO Adjustable delay jsharping@ucmerced. edu Spectral Mirror Imaging in Ultrafast Optical Parametric

A picosecond FOPO Adjustable delay jsharping@ucmerced. edu Spectral Mirror Imaging in Ultrafast Optical Parametric Processes QF 2 G. 8 , CLEO 2012 – p. 10/12

Conclusion • Spectral Mirror Imaging- SMI • Spectral realization of optical phase conjugation •

Conclusion • Spectral Mirror Imaging- SMI • Spectral realization of optical phase conjugation • A measurable connection between the temporal and spectral properties of correlated optical fields. jsharping@ucmerced. edu Spectral Mirror Imaging in Ultrafast Optical Parametric Processes QF 2 G. 8 , CLEO 2012 – p. 11/12

Acknowledgement • Thanks to Prof. Kenneth K. Y. Wong for the discussion. jsharping@ucmerced. edu

Acknowledgement • Thanks to Prof. Kenneth K. Y. Wong for the discussion. jsharping@ucmerced. edu Spectral Mirror Imaging in Ultrafast Optical Parametric Processes QF 2 G. 8 , CLEO 2012 – p. 12/12

jsharping@ucmerced. edu Spectral Mirror Imaging in Ultrafast Optical Parametric Processes QF 2 G. 8

jsharping@ucmerced. edu Spectral Mirror Imaging in Ultrafast Optical Parametric Processes QF 2 G. 8 , CLEO 2012