Nonlinear refractive index measurements using time-resolved digital holography

Balys Momgaudis; Stephane Guizard; Allan Bilde; Andrius Melninkaitis

doi:10.1364/OL.43.000304

Optics Letters
Vol. 43,
Issue 2,
pp. 304-307
(2018)
•https://doi.org/10.1364/OL.43.000304

Nonlinear refractive index measurements using time-resolved digital holography

Balys Momgaudis, Stephane Guizard, Allan Bilde, and Andrius Melninkaitis

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Balys Momgaudis, Stephane Guizard, Allan Bilde, and Andrius Melninkaitis, "Nonlinear refractive index measurements using time-resolved digital holography," Opt. Lett. 43, 304-307 (2018)

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Abstract

In this Letter, a novel method to evaluate nonlinear refractive index using time-resolved digital holographic microscopy is introduced. To demonstrate the viability of the method, cross-correlative nonlinear refractive index values for sapphire are measured experimentally: $2.75 \cdot 10^{- 20} m^{2} / W$ at 1030 nm and $4.10 \cdot 10^{- 20} m^{2} / W$ 515 nm wavelengths. The obtained results for sapphire are compared to those available in literature obtained by other methods.

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Parameter	Pump 1 h	Pump 2 h	Probe
Duration (FWHM)	480 fs	340 fs	30 fs
Diameter $(e^{- 2})$	63 μm	43 μm	450 μm
Central wavelength	1030 nm	515 nm	525 nm
$n$ (ordinary)	1.75	1.77	1.77

Energy	V-V Polarization	V-H Polarization
1030 nm Wavelength Pump
12.7 uJ	$2.70 \pm 0.33 \cdot 10^{- 20} m^{2} / W$	$3.15 \pm 0.52 \cdot 10^{- 20} m^{2} / W$
15.8 uJ	$2.85 \pm 0.30 \cdot 10^{- 20} m^{2} / W$	$3.15 \pm 0.43 \cdot 10^{- 20} m^{2} / W$
19.0 uJ	$2.70 \pm 0.27 \cdot 10^{- 20} m^{2} / W$	$3.15 \pm 0.39 \cdot 10^{- 20} m^{2} / W$
515 nm Wavelength Pump
2.0 uJ	$3.84 \pm 0.67 \cdot 10^{- 20} m^{2} / W$	$4.80 \pm 1.36 \cdot 10^{- 20} m^{2} / W$
2.8 uJ	$4.16 \pm 0.54 \cdot 10^{- 20} m^{2} / W$	$4.96 \pm 1.15 \cdot 10^{- 20} m^{2} / W$
3.6 uJ	$4.32 \pm 0.46 \cdot 10^{- 20} m^{2} / W$	$4.96 \pm 0.83 \cdot 10^{- 20} m^{2} / W$

Parameter	Pump 1 h	Pump 2 h	Probe
Duration (FWHM)	480 fs	340 fs	30 fs
Diameter $(e^{- 2})$	63 μm	43 μm	450 μm
Central wavelength	1030 nm	515 nm	525 nm
$n$ (ordinary)	1.75	1.77	1.77

Energy	V-V Polarization	V-H Polarization
1030 nm Wavelength Pump
12.7 uJ	$2.70 \pm 0.33 \cdot 10^{- 20} m^{2} / W$	$3.15 \pm 0.52 \cdot 10^{- 20} m^{2} / W$
15.8 uJ	$2.85 \pm 0.30 \cdot 10^{- 20} m^{2} / W$	$3.15 \pm 0.43 \cdot 10^{- 20} m^{2} / W$
19.0 uJ	$2.70 \pm 0.27 \cdot 10^{- 20} m^{2} / W$	$3.15 \pm 0.39 \cdot 10^{- 20} m^{2} / W$
515 nm Wavelength Pump
2.0 uJ	$3.84 \pm 0.67 \cdot 10^{- 20} m^{2} / W$	$4.80 \pm 1.36 \cdot 10^{- 20} m^{2} / W$
2.8 uJ	$4.16 \pm 0.54 \cdot 10^{- 20} m^{2} / W$	$4.96 \pm 1.15 \cdot 10^{- 20} m^{2} / W$
3.6 uJ	$4.32 \pm 0.46 \cdot 10^{- 20} m^{2} / W$	$4.96 \pm 0.83 \cdot 10^{- 20} m^{2} / W$

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