Theoretical analysis of self-phase locking in a type II phase-matched optical parametric oscillator

Fabre, Claude; Mason, E.J.; Wong, N. C.

doi:10.1016/s0030-4018(99)00497-6

Cited by 35 publications

(51 citation statements)

References 12 publications

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“…no dichroism). We note that setting p = 0 reproduces a particular case of the polarization coupling considered in [16,17].…”

Section: A Threshold Analysismentioning

confidence: 84%

“…The additional vectorial degree of freedom of type-II OPO is very interesting from the point of view of possible new nonlinear phenomena. An interesting example of these new possibilities has been recently observed experimentally and described theoretically [16,17] when considering a direct intra-cavity polarization coupling: It is possible to reach a situation of frequency degeneracy and phase locking between between the orthogonally polarized signal and idler fields. This is important because, without the direct polarization coupling, a type-II OPO remains non degenerate at frequency degeneracy because of polarization.…”

Section: Introductionmentioning

confidence: 99%

“…Direct polarization coupling between signal and idler in type-II OPO has been discussed in the literature [16,17,30,31] by considering the insertion in the optical cavity of wave-plates (such as quarter-wave or half-wave). In these previous studies the transverse spatial degrees of freedom were not considered.…”

Section: Introductionmentioning

confidence: 99%

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Phase-locked spatial domains and Bloch domain walls in type-II optical parametric oscillators

Izús

Miguel²,

Santagiustina³

2001

Phys. Rev. E

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We study the role of transverse spatial degrees of freedom in the dynamics of signal-idler phase locked states in type-II Optical Parametric Oscillators. Phase locking stems from signal-idler polarization coupling which arises if the cavity birefringence and/or dichroism is not matched to the nonlinear crystal birefringence. Spontaneous Bloch domain wall formation is theoretically predicted and numerically studied. Bloch walls connect, by means of a polarization transformation, homogeneous regions of self-phase locked solutions. The parameter range for their existence is analytically found. The polarization properties and the dynamics of walls in one-and two transverse spatial dimensions is explained. Transition from Bloch to Ising walls is characterized, the control parameter being the linear coupling strength. Wall dynamics governs spatiotemporal dynamical states of the system, which include transient curvature driven domain growth, persistent dynamics dominated by spiraling defects for Bloch walls, and labyrinthine pattern formation for Ising walls.

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“…no dichroism). We note that setting p = 0 reproduces a particular case of the polarization coupling considered in [16,17].…”

Section: A Threshold Analysismentioning

confidence: 84%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Phase-locked spatial domains and Bloch domain walls in type-II optical parametric oscillators

Izús

Miguel²,

Santagiustina³

2001

Phys. Rev. E

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“…Our monitoring of the phase difference and output power ratio of the subharmonic waves shows excellent agreement with the theory on self-phase-locked frequency division by 2. This proves that the divider's phase difference, which depends on the detuning of the cold cavity modes from the exact by 2 divided pump frequency [13,14] can be easily monitored via the subharmonic power ratio.…”

Section: Introductionmentioning

confidence: 92%

High-precision wavelength-flexible frequency division for metrology

Groß¹,

Klein²,

Boller³

2005

Phys. Rev. A

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We realize and investigate a wavelength-flexible phase-coherent all-optical frequency-by-2 divider. Frequency division is obtained via self-phase locking in a degenerate continuous-wave (cw) optical parametric oscillator (OPO). The wavelength flexibility of the divider is based on the use of quasiphase matching (QPM) with perpendicular polarizations of the OPO output waves (type II). Mutual injection of the subharmonic waves is achieved by using an intracavity quarter-wave plate. A locking range of up to 160 MHz is observed experimentally, and a stable, self-phase-locked operation of the OPO is achieved over typically 15 minutes. For the first time, we measure the frequency stability of the divider by recording the relative phases of the subharmonic waves as a function of time. For a measurement time interval of 40 s, we measure a residual frequency instability of the divider of 8 · 10 −18 . We demonstrate a full control of the OPO's output waves' phase difference and observe the related change in power ratio of the subharmonic waves in agreement with the theoretically expected behavior. We propose that this possibility to monitor the divider's drift within the locking range via the power ratio can be used for stabilizing that drift in order to achieve a significant improvement of the long-term stability of the frequency-by-2 divider.

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“…The signal and the idler can be either frequency degenerate or non-degenerate, depending on the frequency selection rules imposed by the combined effects of the parametric down-conversion, the cavity resonances and phase-matching [29][30][31], but they are always polarization non-degenerate (type-II interaction). In the mean field approximation, and considering the paraxial and the single longitudinal mode approximation for all the fields, the equations describing the time evolution for the linear polarization components of the second harmonic (B x,y (x, y, t)) (SH) and the first harmonic (A x,y (x, y, t)) (FH) slowly varying envelopes of the electric fields, in a type-II, phase-matched OPO are [24,28]:…”

Section: Mean Field Equationsmentioning

confidence: 99%

Polarization coupling and pattern selection in a type-II optical parametric oscillator

2002

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We study the role of a direct intracavity polarization coupling in the dynamics of transverse pattern formation in type-II optical parametric oscillators. Transverse intensity patterns are predicted from a stability analysis, numerically observed, and described in terms of amplitude equations. Standing wave intensity patterns for the two polarization components of the field arise from the nonlinear competition between two concentric rings of unstable modes in the far field. Close to threshold a wavelength is selected leading to standing waves with the same wavelength for the two polarization components. Far from threshold the competition stabilizes patterns in which two different wavelengths coexist.

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Theoretical analysis of self-phase locking in a type II phase-matched optical parametric oscillator

Cited by 35 publications

References 12 publications

Phase-locked spatial domains and Bloch domain walls in type-II optical parametric oscillators

Phase-locked spatial domains and Bloch domain walls in type-II optical parametric oscillators

High-precision wavelength-flexible frequency division for metrology

Polarization coupling and pattern selection in a type-II optical parametric oscillator

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