Sellmeier equations, group velocity dispersion, and thermo-optic dispersion formulas for CaLnAlO<sub>4</sub> (Ln &#x003D; Y, Gd) laser host crystals

Pavel Loiko; Petra Becker; Ladislav Bohatý; Christoph Liebald; Mark Peltz; Sophie Vernay; Daniel Rytz; Josep Maria Serres; Xavier Mateos; Yicheng Wang; Xiaodong Xu; Jun Xu; Arkady Major; Alexander Baranov; Uwe Griebner; Valentin Petrov

doi:10.1364/OL.42.002275

Optics Letters
Vol. 42,
Issue 12,
pp. 2275-2278
(2017)
•https://doi.org/10.1364/OL.42.002275

Sellmeier equations, group velocity dispersion, and thermo-optic dispersion formulas for CaLnAlO₄ (Ln = Y, Gd) laser host crystals

Pavel Loiko, Petra Becker, Ladislav Bohatý, Christoph Liebald, Mark Peltz, Sophie Vernay, Daniel Rytz, Josep Maria Serres, Xavier Mateos, Yicheng Wang, Xiaodong Xu, Jun Xu, Arkady Major, Alexander Baranov, Uwe Griebner, and Valentin Petrov

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Pavel Loiko, Petra Becker, Ladislav Bohatý, Christoph Liebald, Mark Peltz, Sophie Vernay, Daniel Rytz, Josep Maria Serres, Xavier Mateos, Yicheng Wang, Xiaodong Xu, Jun Xu, Arkady Major, Alexander Baranov, Uwe Griebner, and Valentin Petrov, "Sellmeier equations, group velocity dispersion, and thermo-optic dispersion formulas for CaLnAlO₄ (Ln = Y, Gd) laser host crystals," Opt. Lett. 42, 2275-2278 (2017)

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Abstract

We studied the refractive index and dispersive properties of the tetragonal rare-earth calcium aluminates, $Ca L n {AlO}_{4}$ ( $L n = Gd$ or Y). Sellmeier equations were derived for the spectral range of 0.35–2.1 μm. The group velocity dispersion (GVD) in ${CaGdAlO}_{4}$ is positive at $\sim 1 μm$ , $95 {fs}^{2} / mm$ and negative at $\sim 2 μm$ , $- 40 {fs}^{2} / mm$ . The GVD values for ${CaYAlO}_{4}$ are similar. In addition, thermo-optic coefficients, $d n / d T$ , and thermal coefficients of the optical path were determined for ${CaYAlO}_{4}$ . $d n / d T$ is negative at $\sim 1 μm$ , $d n_{o} / d T = - 7.8$ , and $d n_{e} / d T = - 8.7 \times 10^{- 6} K^{- 1}$ . Thermo-optic dispersion formulas were constructed. The obtained data are of key importance to the design of high-power mode-locked oscillators at $\sim 1$ and $\sim 2 μm$ based on such laser hosts.

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Crystal	Index	$A_{i}$	$B_{i}$ , ${μm}^{2}$	$C_{i}$ , ${μm}^{2}$	$D_{i}$ , ${μm}^{- 2}$
CALGO	$n_{o}$	3.64863	0.03926	0.02239	0.01121
CALGO	$n_{e}$	3.74160	0.03900	0.02021	0.01276
CALYO	$n_{o}$	3.53251	0.03619	0.02109	0.01149
CALYO	$n_{e}$	3.62156	0.03582	0.01920	0.01298

	Expansion Coefficient
TOC/TCOP	$A_{0}$	$A_{1}$ , ${μm}^{2}$	$A_{2}$ , ${μm}^{4}$	$A_{3}$ , ${μm}^{6}$
$d n_{o} / d T$	−8.00	0.213	−0.0472	0.01405
$d n_{e} / d T$	−8.77	0.174	−0.0638	0.01586
$W (a - cut, o)$	0.841	0.427	−0.0751	0.01628
$W (a - cut, e)$	0.290	0.399	−0.0953	0.01835

		$d n / d T + (n - 1) α$ , $10^{- 6} K^{- 1}$
Polarization	$d n / d T$ , $10^{- 6} K^{- 1}$	$a$ -cut	$c$ -cut
CALGO [4]
$σ$ (o)	−7.6	1.3	6.6
$π$ (e)	−8.6	0.7	—
CALYO
$σ$ (o)	−7.8	1.2	5.9
$π$ (e)	−8.7	0.6	—

Crystal	Index	$A_{i}$	$B_{i}$ , ${μm}^{2}$	$C_{i}$ , ${μm}^{2}$	$D_{i}$ , ${μm}^{- 2}$
CALGO	$n_{o}$	3.64863	0.03926	0.02239	0.01121
CALGO	$n_{e}$	3.74160	0.03900	0.02021	0.01276
CALYO	$n_{o}$	3.53251	0.03619	0.02109	0.01149
CALYO	$n_{e}$	3.62156	0.03582	0.01920	0.01298

	Expansion Coefficient
TOC/TCOP	$A_{0}$	$A_{1}$ , ${μm}^{2}$	$A_{2}$ , ${μm}^{4}$	$A_{3}$ , ${μm}^{6}$
$d n_{o} / d T$	−8.00	0.213	−0.0472	0.01405
$d n_{e} / d T$	−8.77	0.174	−0.0638	0.01586
$W (a - cut, o)$	0.841	0.427	−0.0751	0.01628
$W (a - cut, e)$	0.290	0.399	−0.0953	0.01835

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Optics Letters