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The four-wave mixing produced with two ultrashort phase-locked w-3w laser pulses propagating coherently in a two-level system in the infrared spectral region is shown to depend on the pulses relative phase. The Maxwell-Bloch equations are…

Optics · Physics 2007-05-23 Carles Serrat

Phase-mismatch in nonlinear optical processes can severely limit the propagation and conversion efficiency of light fields. Here, we present an efficient optimal-control strategy to mitigate the detrimental effects of phase-mismatch in an…

Quantum Physics · Physics 2025-09-17 Ning Jia , Hamid R. Hamedi , Jing Qian

Four-wave mixing in resonant atomic vapors based on maximum coherence induced by Stark-chirped rapid adiabatic passage (SCRAP) is investigated theoretically. We show the advantages of a coupling scheme involving maximum coherence and…

Quantum Physics · Physics 2009-11-07 E. A. Korsunsky , T. Halfmann , J. P. Marangos , K. Bergmann

This work presents a theoretical analysis of the Autler-Townes splitting pattern in the four-wave mixing signal generated in a three-level cascade Doppler-broadened system. We employ the density matrix formalism to write the Bloch equations…

Atomic Physics · Physics 2022-06-02 M. P. M. de Souza , A. A. C. de Almeida , S. S. Vianna

Backward Raman amplification is limited by relativistic nonlinear dephasing resulting in saturation of the leading spike of the amplified pulse. Pump detuning is employed to mitigate the relativistic phase mismatch and to overcome the…

Plasma Physics · Physics 2016-07-06 Ido Barth , Zeev Toroker , Alexey A. Balakin , Nathaniel J. Fisch

The phase transition to mirrorless oscillation in resonantly enhanced four-wave mixing in double-$\Lambda$ systems are studied analytically for the ideal case of infinite lifetimes of ground-state coherences. The stationary susceptibilities…

Quantum Physics · Physics 2007-05-23 M. Fleischhauer

We identify a new four-wave mixing process in which two nearly collinear pump beams produce phase-dependent gain into a weak bisector signal beam in a self-defocusing Kerr medium. Phase matching is achieved by weak-wave advancement caused…

Pattern Formation and Solitons · Physics 2015-06-26 C. F. McCormick , R. Y. Chiao , J. M. Hickmann

We experimentally demonstrate stimulated four-wave mixing in two linearly uncoupled integrated Si$_3$N$_4$ micro-resonators. In our structure the resonance combs of each resonator can be tuned independently, with the energy transfer from…

Optics · Physics 2020-03-18 K. Tan , M. Menotti , Z. Vernon , J. E. Sipe , M. Liscidini , B. Morrison

An influence of nonlinear interference processes at quantum transitions under strong resonance electromagnetic fields on absorption, amplification and refractive indices as well as on four-wave mixing processes is investigated. Doppler…

Quantum Physics · Physics 2015-06-26 A. K. Popov

We consider integrated photon pair sources based on spontaneous four-wave mixing and derive expressions for the pump powers at which various nonlinear processes become relevant for a variety of source materials and structures. These…

Quantum Physics · Physics 2013-08-15 L. G. Helt , M. J. Steel , J. E. Sipe

Nonlinear optical processes are strongly dominated by phase relationships among electromagnetic fields that are relevant to its optical process. In this paper, we theoretically and experimentally show, as a typical example, that in a…

Optics · Physics 2018-02-14 C. Ohae , J. Zheng , K. Ito , M. Suzuki , K. Minoshima , M. Katsuragawa

Theory of the optical parametric amplification at high-frequency pumping in crystals with a regular space modulation of the sign of nonlinear coupling coefficient of interacting waves is developed. By applying the matrix method, the theory…

Optics · Physics 2007-05-23 E. V. Makeev , A. S. Chirkin

We demonstrate theoretically and experimentally that linear coupling due to the backscattering between two counterpropagating modes in a Kerr microresonator leads to extreme sensitivity of the intensity asymmetry of nonlinear light states…

Optics · Physics 2024-07-25 Elena A. Anashkina , Alexey V. Andrianov

Self-phase modulation induced nonlinear phase noise is reduced with the increase of fiber dispersion but intrachannel four-wave-mixing (IFWM) is increased with dispersion. Both degrading DPSK signals, the standard deviation of nonlinear…

Optics · Physics 2013-01-15 Keang-Po Ho , Hsi-Cheng Wang

Enhancement and suppression of nonlinear processes in coupled systems of plasmonic converters and quantum emitters are well-studied theoretically, numerically and experimentally, in the past decade. Here, in difference, we explicitly…

We present a full quantum analysis of resonant forward four-wave mixing based on electromagnetically induced transparency (EIT). In particular, we study the regime of efficient nonlinear conversion with low-intensity fields that has been…

Quantum Physics · Physics 2009-11-07 Mattias T. Johnsson , Michael Fleischhauer

Coherent control with shaped ultrafast pulses is a powerful approach for steering nonlinear light-matter interactions. Previous studies in quantum control have shown that, beyond transform-limited pulses, those with antisymmetric spectral…

Optics · Physics 2025-07-02 Omri Meron , Snir Nehemia , Uri Arieli , Haim Suchowski

New feasibity of coherent quantum control of four-wave mixing processes in a resonant Doppler-broadened medium are studied. We propose a technique which enables one to enhance the quantum efficiency of nonlinear optical conversion. At the…

Following up on a proposal to use four-wave mixing in an underdense plasma at mildly relativistic laser intensities to produce vastly more energetic x-ray pulses [V. M. Malkin and N. J. Fisch, Phys. Rev. E, 101, 023211 (2020)], we perform…

Plasma Physics · Physics 2021-06-16 Alec Griffith , Kenan Qu , Nathaniel J. Fisch

Four-wave parametric amplification can be extended to the TW/cm$^2$ regime using femtosecond pump pulses to amplify nearly octave spanning pulses with gain $> 20$~mm$^{-1}$, which we call Kerr instability amplification. Cross-polarized wave…

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