Note: Phase retrieval method for analyzing single-phase displacement interferometry data

Chen, X. H.; Zeng, X. L.; Fan, D.; Liu, Q. C.; Bie, B.X.; Zhou, Xianming; Luo, S. N.

doi:10.1063/1.4865113

Cited by 10 publications

(3 citation statements)

References 7 publications

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“…The interferometry data are fitted by a series of sinusoidal functions. The interfacial velocity is then obtained from the derivative of the phase in the sinusoidal function with respect to time, [35] taking into account the correction due to the refractive index of the LiF window. [36,37] As shown in Fig.…”

Section: Methodsmentioning

confidence: 99%

In situ observation of the phase transformation kinetics of bismuth during shock release

Li 李,

Wang 王,

Xu 徐

et al. 2024

Chinese Phys. B

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A time-resolved X-ray diffraction technique is employed to monitor the structural transformation of laser-shocked bismuth. Results reveal a retarded transformation from the shock-induced Bi-V phase to a metastable Bi-IV phase during the shock release, instead of the thermodynamically stable Bi-III phase. The emergence of the metastable Bi-IV phase is understood by the competitive interplay between two transformation pathways towards the Bi-IV and the Bi-III, respectively. The former is more rapid than the latter because the Bi-V to B-IV transformation is driven by the interaction between the closest atoms while the Bi-V to B-III transformation requires the interaction between the second closest atoms. The nucleation time for the Bi-V to Bi-IV transformation is determined to be 5.1± 0.9 ns according to a classical nucleation model. This observation demonstrates the importance of the formation of the transient metastable phases, which is able to change the phase transformation pathway in a dynamic process.

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Section: Methodsmentioning

confidence: 99%

In situ observation of the phase transformation kinetics of bismuth during shock release

Li 李,

Wang 王,

Xu 徐

et al. 2024

Chinese Phys. B

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“…For low modulation depth, we have Δφ(t) << 1 rad, and sin[Δφ(t)] ≈ Δφ(t), consequently Δφ(t) can be measured directly from v(t). On the other hand, if Δφ(t) >> 1 rad, some phase-unwrapping demodulation technique can be used to measure Δφ(t) [10][11][12].…”

Section: Michelson Interferometermentioning

confidence: 99%

Nonlinear control system for optical interferometry based on variable structure control and sliding modes

Martin¹,

Sakamoto²,

Teixeira³

et al. 2017

Opt. Express

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This work presents a novel nonlinear control system designed for interferometry based on variable structure control and sliding modes. This approach can fully compensate the nonlinear behavior of the interferometer and lead to high accuracy control for large disturbances, featuring low cost, ease of implementation and high robustness, without a reset circuit (when compared with a linear control system). A deep stability analysis was accomplished and the global asymptotic stability of the system was proved. The results showed that the nonlinear control is able to keep the interferometer in the quadrature point and suppress signal fading for arbitrary signals, sinusoidal signals, or zero input signal, even under strong external disturbances. The system showed itself suitable to characterize a multi-axis piezoelectric flextentional actuator, which displacements that are much smaller than half wavelength. The high robustness allows the system to be embedded and to operate in harsh environments as factories, bringing the interferometry outside the laboratory.

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“…The Cu foil driver/CHBr 3 interface velocity is monitored by a Doppler pin system (DPS) with a nanosecond resolution. 20,21 A single-mode optical fiber is used as the DPS probe and collects reflected light carrying velocity information. Superposition of the Doppler-shifted light reflected from a moving interface with the reference light reflected from a static surface (window free surface or the fiber end surface) create interference fringes, and the beat frequency is proportional to the interface velocity.…”

Section: Methodsmentioning

confidence: 99%

Hugoniot and refractive indices of bromoform under shock compression

et al. 2018

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We investigate physical properties of bromoform (liquid CHBr3) including compressibility and refractive index under dynamic extreme conditions of shock compression. Planar shock experiments are conducted along with high-speed laser interferometry. Our experiments and previous results establish a linear shock velocity−particle velocity relation for particle velocities below 1.77 km/s, as well as the Hugoniot and isentropic compression curves up to ∼21 GPa. Shock-state refractive indices of CHBr3 up to 2.3 GPa or ∼26% compression, as a function of density, can be described with a linear relation and follows the Gladstone-Dale relation. The velocity corrections for laser interferometry measurements at 1550 nm are also obtained.

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Note: Phase retrieval method for analyzing single-phase displacement interferometry data

Cited by 10 publications

References 7 publications

In situ observation of the phase transformation kinetics of bismuth during shock release

In situ observation of the phase transformation kinetics of bismuth during shock release

Nonlinear control system for optical interferometry based on variable structure control and sliding modes

Hugoniot and refractive indices of bromoform under shock compression

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