Spectral phase conjugation by quasi-phase-matched three-wave mixing

Tsang, Mankei

doi:10.1016/j.optcom.2004.09.017

Cited by 4 publications

(5 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…There is a correspondence between classical SPC and quantum coincident frequency entanglement, as shown in Ref. 14 for the transversely pumped TWM 12,15 and FWM 2,13 processes. It is then interesting to see if other coincident frequency entanglement schemes are also capable of performing SPC, when an input signal is present.…”

Section: Introductionmentioning

confidence: 66%

“…This SPC efficiency can be fundamentally higher than that of the transversely pumped TWM device 12 due to two reasons. One is the copropagation of the three pulses, which makes G higher than a similar parameter in the latter case by a factor of (1 − k ′ p /k ′ s ) −1 , on the order of 40 for KTP.…”

Section: Fourier Analysismentioning

confidence: 95%

“…14 for the transversely pumped TWM 12,15 and FWM 2,13 processes. It is then interesting to see if other coincident frequency entanglement schemes are also capable of performing SPC when an input signal is present.…”

Section: Introductionmentioning

confidence: 98%

“…5 Although SPC has been experimentally demonstrated using photon echo, 6,7 spectral hole burning, 8,9 temporal holography, 3 spectral holography, 10 and spectral three-wave mixing (TWM), 11 all the demonstrated schemes suffer from the use of cryogenic setups, non-realtime operation, or extremely high pump energy. Pulsed TWM 12 and four-wave-mixing (FWM) 2,13 processes in the transverse-pumping geometry have been theoretically proposed to efficiently perform SPC, but have not yet been experimentally realized. All the holographic and wave-mixing schemes also have strict requirements on the transverse beam profile of the signal, limiting their appeal for simultaneous diffraction and dispersion compensation applications.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Spectral phase conjugation via extended phase matching

Tsang

2006

J. Opt. Soc. Am. B

Self Cite

View full text Add to dashboard Cite

It is shown that the copropagating three-wave-mixing parametric process, with appropriate type-II extended phase matching and pumped with a short second-harmonic pulse, can perform spectral phase conjugation and parametric amplification, which shows a threshold behavior analogous to backward-wave oscillation. The process is also analyzed in the Heisenberg picture, which predicts a spontaneous parametric downconversion rate in agreement with the experimental result reported by Kuzucu et al. [Phys. Rev. Lett. 94, 083601 (2005)]. Applications in optical communications, signal processing, and quantum information processing can be envisaged.

show abstract

Section: Introductionmentioning

confidence: 66%

Section: Fourier Analysismentioning

confidence: 95%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Spectral phase conjugation via extended phase matching

Tsang

2006

J. Opt. Soc. Am. B

Self Cite

View full text Add to dashboard Cite

show abstract

“…Besides third-order nonlinearities, phase conjugation was theoretically investigated by utilizing cascaded second-order nonlinear-optical processes, which is equivalent to effective third-order nonlinear processes, in a transverse-pumping geometry [4]. By replacing the second-harmonic beam with a pump beam, spectral phase conjugation is feasible [5].…”

Section: Introductionmentioning

confidence: 99%

Restoration of blurred images based on phase conjugation by using single second-order nonlinear parametric processes

Ding

2014

Ultrafast Nonlinear Imaging and Spectroscopy II

View full text Add to dashboard Cite

We review our previous result: backward difference-frequency generation can be exploited to achieve phase conjugation in a second-order nonlinear medium. The backward configuration can be utilized to achieve broadband quasi-phasematching, compared with the forward counterpart. Our calculation shows that a nonlinear reflectivity of close to 100% is achievable from a laser emitting an output power of ≈ 1 mW. Such an efficient phase conjugator is made feasible by placing the nonlinear medium inside a pump laser cavity. In addition, a Fabry-Perot cavity at the input frequency is used to significantly improve the nonlinear reflectivity. In our previous experimental result, we demonstrated that broadband and polarization-insensitive phase conjugation, achieved based on difference-frequency generation in a second-order nonlinear composite consisting of stacked KTP plates, was exploited to restore blurred images due to phase distortion as a novel scheme. Due to the quasi-phase matching in the stacked KTP crystals, our result reveals that the image restoration is insensitive to the polarization direction and wavelength of the input beam.

show abstract

Spontaneous spectral phase conjugation for coincident frequency entanglement

Tsang

2005

Phys. Rev. A

View full text Add to dashboard Cite

Spontaneous parametric processes pumped transversely with short pulses are studied under a unified framework, which proves that such processes can efficiently generate entangled photon pairs with time anticorrelation and frequency correlation. Improvements upon previously proposed schemes can be made by the use of quasi-phase-matching, four-wave mixing, and cross-phase-modulation compensation. The use of frequencycorrelated photons in the Hung-Ou-Mandel interferometer is studied. DOI: 10.1103/PhysRevA.71.043806 PACS number͑s͒: 42.65.Lm, 42.50.Dv It has recently been proven that if the three-wave-mixing ͑TWM͒ or four-wave-mixing ͑FWM͒ parametric process is transversely pumped with short pulses in a long and thin nonlinear medium, parametric amplification can be performed, with time reversal and spectral phase conjugation ͑SPC͒ ͓1,2͔. The correspondence between classical parametric amplification and quantum entanglement makes one wonder if spontaneous SPC can perform the opposite of what its continuous-wave-pumped counterpart does, and realize time anticorrelation or frequency correlation. This distinct kind of entanglement is useful for applications such as quantumenhanced position and clock synchronization ͓3͔ and oneway autocompensating quantum cryptography ͓4͔. Various implementations of such entanglement have been suggested ͓5,6͔, and the scheme proposed by Walton et al. ͓6͔ looks intriguingly similar to the TWM scheme for SPC ͓1͔. On the other hand, while TWM is traditionally the preferred method to generate entangled photons, recent experimental progress on entangled photon sources using third-order nonlinear processes ͓7,8͔ makes FWM a promising candidate for such a task. In this paper, we prove that spontaneous SPC, by either TWM or FWM, can indeed efficiently generate timeanticorrelated and frequency-correlated photon pairs.Our proposed schemes have several key improvements over that in Ref. ͓6͔, and make coincident frequency entanglement much more realizable. First, it is unclear in Ref.͓6͔ how phase matching should be achieved. We propose the incorporation of quasi-phase-matching to satisfy the requirement. Second, we suggest an alternative FWM scheme, which can be more efficient with focused femtosecond pump beams. Third, for good efficiency, cross-phase modulation due to the strong pump becomes a large parasitic effect for both schemes. We introduce the use of pump phase modulation to compensate for cross-phase modulation. We also perform an in-depth Heisenberg analysis of the spontaneous SPC schemes, predicting that a high gain is possible with current technology. The high gain enables the generation of large-photon-number frequency-correlated states, which are interesting for their use in nonlocal-dispersion cancellation and noise-reduction experiments ͓9͔.Lastly we investigate the use of frequency-correlated photons generated by our proposed schemes in the Hong-OuMandel ͑HOM͒ interferometer ͓10͔, subject to temporal delays, dispersion, frequency shifts, and temporal phase modulation. Quantum-d...

show abstract

Spectral phase conjugation by quasi-phase-matched three-wave mixing

Cited by 4 publications

References 24 publications

Spectral phase conjugation via extended phase matching

Spectral phase conjugation via extended phase matching

Restoration of blurred images based on phase conjugation by using single second-order nonlinear parametric processes

Spontaneous spectral phase conjugation for coincident frequency entanglement

Contact Info

Product

Resources

About