Assessment of broad usability of a simple analytic model for passively Q-switched lasers with Cr:YAG saturable absorbers

Federico Pirzio; Jacopo Rubens Negri; Sara Pizzurro; Enrico Piccinini; Antonio Agnesi; Antonio Agnesi

doi:10.1364/JOSAB.392097

Journal of the Optical Society of America B
Vol. 37,
Issue 6,
pp. 1659-1663
(2020)
•https://doi.org/10.1364/JOSAB.392097

Assessment of broad usability of a simple analytic model for passively Q-switched lasers with Cr:YAG saturable absorbers

Federico Pirzio, Jacopo Rubens Negri, Sara Pizzurro, Enrico Piccinini, and Antonio Agnesi

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Federico Pirzio, Jacopo Rubens Negri, Sara Pizzurro, Enrico Piccinini, and Antonio Agnesi, "Assessment of broad usability of a simple analytic model for passively Q-switched lasers with Cr:YAG saturable absorbers," J. Opt. Soc. Am. B 37, 1659-1663 (2020)

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Abstract

Analytic approximations for key parameters of passively $Q$-switched (PQS) lasers, such as pulse energy and duration, were developed and widely tested in particular for microchip lasers with semiconductor saturable absorbers. However, the same approach can be readily extended to PQS lasers using Cr:YAG as the saturable absorber, including excited-state absorption (ESA) in the model. ESA causes a reduction of pulse energy and an increase in pulse duration. Interestingly, performances of many previously reported PQS lasers using Cr:YAG, from microchips to more powerful multi-millijoule lasers, are correctly predicted by this simple model. Unlike energy estimation, which is intrinsically robust, pulse width requires a more careful evaluation of the influence of the ratio (total linear loss)/(saturable loss) as a correction of the asymptotic result.

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Laser Medium	Nd:YAG	Nd:YAG	Nd:YAG	Nd:YAG	$N d : {Y V O}_{4}$	Yb:YAG	Yb:YAG	Yb:YLF
Resonator type	ring [10]	linear [9]	microchip [11]	monolithic	linear [9]	linear	monolithic [6]	linear
$F_{L} = h ν / σ_{L}$ [ $J / {c m}^{2}$ ]	0.57 [12]	0.57 [12]	0.57 [12]	0.57 [12]	0.12 [12]	6.77 [12]	1.63 [13]	19.9 [14]
$L_{c}$ [mm]	220	76	1.36	9.0	135	50	11.5	360
$R_{o}$	93%	70%	94%	82%	80%	50%	70%	60%
$T_{0}$ (single-pass)	93%	80%	87%	82%	86%	92%	90%	93%
$q_{0} = - 2^{*} \ln T_{0}$	0.07	0.45	0.28	0.40	0.30	0.17	0.21	0.15
$ξ$	1.51	0.92	0.32	0.63	0.87	4.32	1.84	3.76
$l_{p}$	0.04	0.05	0.03	0.05	0.04	0.03	0.03	0.03
$g_{i} = l_{p} - \ln R_{o} + q_{0}$	0.18	0.86	0.37	0.65	0.56	0.89	0.60	0.69
$w_{L}$ [ $µ m$ ]	180	210	70	150	250	150	1500	55
$E_{L}$ [mJ]	0.58	0.39	0.044	0.20	0.115	2.39	57.4	0.94
$E_{o}$ exp. [mJ]	0.034	0.205	0.011	0.080	0.048	0.470	12.0	0.175
$E_{o}^{(c)}$ mod. [mJ]	0.039	0.204	0.010	0.081	0.040	0.584	15.9	0.195
$τ_{S}$ exp. [ns]	50	10	0.34	1.45	28	10	3.3	110
$τ_{S}^{(c)}$ mod. [ns]	66	8.8	0.45	1.42	24	10	2.2	87

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