Controlling instability and squeezing from a cascaded frequency doubler

Kheruntsyan, K. V., Kryuchkyan, G. Y., Mouradyan, N. T. and Petrosyan, K. G. (1998) Controlling instability and squeezing from a cascaded frequency doubler. Physical Review a, 57 1: 535-547. doi:10.1103/PhysRevA.57.535

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Author Kheruntsyan, K. V.
Kryuchkyan, G. Y.
Mouradyan, N. T.
Petrosyan, K. G.
Title Controlling instability and squeezing from a cascaded frequency doubler
Journal name Physical Review a   Check publisher's open access policy
ISSN 1050-2947
Publication date 1998-01-01
Sub-type Article (original research)
DOI 10.1103/PhysRevA.57.535
Open Access Status File (Publisher version)
Volume 57
Issue 1
Start page 535
End page 547
Total pages 13
Place of publication College Park, MD, United States
Publisher American Physical Society
Language eng
Formatted abstract
We present a semiclassical and quantum analysis of a nonlinear optical interaction in a cavity in which an externally driven fundamental mode at frequency ω transforms into the second-harmonic mode 2ω and then into the fourth-harmonic mode 4ω via cascaded frequency-doubling processes ω+ω⃗ 2ω and 2ω+2ω⃗ 4ω. In the adiabatic limit of the strongly damped fourth-harmonic mode the nonlinear system is equivalent to the process of intracavity second-harmonic generation combined with nonlinear two-photon absorption from the second-harmonic mode. Semiclassical steady states and linear stability analysis show that possible operation regimes are substantially different from those for the pure second-harmonic-generation process. It is shown in particular that the system is characterized by two critical points: Starting from a certain critical value of the driving field intensity, one observes self-pulsing instability; however, at higher intensities, beyond a second critical point, the system turns back to the stable generation regime. Moreover, under appropriate values of the control parameters, one may arrive at a complete quenching of self-pulsing behavior and at stabilization of the steady states in the entire domain of the driving field intensity. These stabilization properties become important when turning to the analysis of the quantum fluctuations and quadrature squeezing effect in the fundamental and second-harmonic modes within the ranges of linearized treatment of fluctuations. Due to the emergence of stability in the behavior of the system at high level of coherent excitation, the system becomes capable of generation of bright light with enhanced squeezing properties.
Keyword Sub-2nd Harmonic-Generation
Nonequilibrium Transitions
2nd-Harmonic Generation
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mathematics and Physics
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Citation counts: TR Web of Science Citation Count  Cited 14 times in Thomson Reuters Web of Science Article | Citations
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