Grating translation technique for vectorial beam coupling and its applications to linear signal detection

Calvo, Gabriel F.; Sturman, B.; Agulló‐López, F.; Carrascosa, M.; Kamshilin, Alexei A.; Päiväsaari, Kimmo

doi:10.1364/josab.19.001564

Cited by 10 publications

(7 citation statements)

References 25 publications

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“…Equation (3) determines the linear dependence of the amplitude E SC on the modulation depth of the interference pattern m, though in general this dependence should be in some extent nonlinear especially at high modulation depth [18,19]. In the present work, we do not consider the effects associated with the nonlinearity of the photorefractive response.…”

Section: ͑2͒mentioning

confidence: 98%

“…We write the coupled wave equations for steady-state amplitude vectors S and R of reference and signal waves using an approach similar to those of Refs. [11,16,17],…”

Section: Theoretical Modelmentioning

confidence: 99%

“…Our analysis is based on the vectorial equations for the steady-state amplitudes of the coupled waves in photorefractive crystal, the same as have been used in the other published works [5,10,16,17]. Many effects associated with the wave's polarization evolution caused by the vectorial TWM have been analyzed and understood using analytical or numerical solutions of these equations.…”

Section: Introductionmentioning

confidence: 99%

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Vectorial two-beam coupling with arbitrary shifted photorefractive gratings: An analytical approach

Khomenko

Rocha‐Mendoza

2004

Phys. Rev. E

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An analytical solution is presented to the vectorial coupled wave equations for the steady state amplitudes of two waves interacting in cubic photorefractive crystals. The solution accounts for pump depletion as well as an arbitrary phase shift between the interference pattern and photorefractive grating. It is shown that bidirectional vectorial amplification and polarization orthogonalization of the interacting beams take place in photorefractive crystal with diffusion, drift or mixed mechanism of space-charge formation.

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Section: ͑2͒mentioning

confidence: 98%

“…We write the coupled wave equations for steady-state amplitude vectors S and R of reference and signal waves using an approach similar to those of Refs. [11,16,17],…”

Section: Theoretical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Vectorial two-beam coupling with arbitrary shifted photorefractive gratings: An analytical approach

Khomenko

Rocha‐Mendoza

2004

Phys. Rev. E

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“…The parameters ͑␤ d ␤ 0 ͒ 1/2 , ͑␤ d / ␤ 0 ͒ 1/2 , and entering Eqs. (21) and (24) can be ex-pressed by pЉ, the ratio pЈ / pЉ, and the input intensity ratio ␤ in = ͉R d ͉ 2 / ͉S 0 ͉ 2 . The corresponding relations, obtained by solving Eqs.…”

Section: Reflection Geometrymentioning

confidence: 99%

Description of readout processes during strong beam coupling

Sturman

Giel²

2004

Phys. Rev. E

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We show, using the symmetry properties of the coupled-wave equations for the transmission and reflection geometries, that any readout characteristic of dynamic spatially nonuniform index gratings in photorefractive crystals can be explicitly expressed through the characteristics of the recording light beams. This approach is applied to describe the impact of beam coupling on the diffraction efficiency of dynamic gratings and on the output intensities of the light beams at instantaneous input phase changes (light grating translation). Further implications of this general approach are discussed.

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“…For industrial applications this can be achieved by utilizing optical interferometers and measuring small ultrasonic displacements [1,2]. For this purpose, photorefractive crystal (PRC) interferometers based on two wave mixing show good sensitivity, especially on the rough industrial surfaces [3].…”

Section: Introductionmentioning

confidence: 99%

Determination of nanometer vibration amplitudes by using a homodyne photorefractive crystal interferometer

Zamiri¹,

Reitinger²,

Berer³

et al. 2010

Procedia Engineering

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We report a low cost and high accuracy interferometric technique for detecting nanometer vibrations by using a photorefractive crystal interferometer based on two wave mixing within a Bi 12 SiO 20 (BSO) crystal. The results of small displacement detection on the sample (1-2nm) and comparison between the sensitivity of Michelson and photorefractive adaptive interferometers are presented. Furthermore, the effect of an external electric field applied to the photorefractive crystal on the Signal to Noise Ratio (SNR) and on the vibrometer sensitivity is investigated.

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Grating translation technique for vectorial beam coupling and its applications to linear signal detection

Cited by 10 publications

References 25 publications

Vectorial two-beam coupling with arbitrary shifted photorefractive gratings: An analytical approach

Vectorial two-beam coupling with arbitrary shifted photorefractive gratings: An analytical approach

Description of readout processes during strong beam coupling

Determination of nanometer vibration amplitudes by using a homodyne photorefractive crystal interferometer

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