1 Introduction

Q-switched lasers are used in many applications, such as laser lidar, remote sensing, micro-machining, and microsurgery [1, 2]. Compared with active Q-switching, the passive techniques have advantages such as lower cost, compactness, simplicity in set-up, and operation since they do not require external control. Cr4+:YAG crystal as a saturable absorber has advantages of improved thermo-mechanical properties, large absorption cross section, low saturable intensity, and high damage threshold [3, 4].

The output performance, such as output energy, E p , pulse duration, τ p , pulse peak power, P p , and pulse repetition rate, f, are important for passively Q-switched lasers. Many theoretical models and experimental results about passively Q-switched lasers have appeared in the literature [512]. But some of the theoretical opinions and experimental observations differed in these publications. For example, Degnan [5] reported that τ p was not affected by the pump power level, but was determined by other parameters, such as the cavity length. This was confirmed by experimental results reported in [68]. However, Lu et al. [9] reported that τ p decreases when the incident pump power increases, which was supported by experimental investigations [1012]. In our characterization studies of a Cr4+:YAG passively Q-switched Nd:GdVO4 laser, both these two different experimental phenomenon were observed for the first time in the same experimental configuration, which we attributed them to the anisotropy of the Cr4+:YAG transmission and the different laser cavity gain. The anisotropic transmission of Cr4+:YAG crystal was previously reported in [13, 14], but to the best of our knowledge, there was no researcher to report the above two changes of τ p simultaneously, not to mention giving an explanation.

In this paper, we demonstrated a passively Q-switched 1.06 μm Nd:GdVO4 laser with a [100]-cut Cr4+:YAG crystal by 808 nm laser diode pumping. The output characteristics were investigated when the anisotropic transmission of Cr4+:YAG crystal and the different gain levels were considered. The experimental results showed that we could obtain a pulsed laser output with narrower τ p , higher E p and P p when the polarization direction of laser was parallel to the [001], [010], [\(00\overline{1}\)], and [\(0\overline{1}0\)] orientations of the Cr4+:YAG crystal, respectively. The different changes of τ p as a function of incident pump power were observed due to the anisotropic transmission of Cr4+:YAG crystal and the different cavity gain levels.

2 Experimental setup

The experimental configurations of a [100]-cut Cr4+:YAG passively Q-switched Nd:GdVO4 laser using 808 nm laser-diode end-pumping is shown in Fig. 1.

Fig. 1
figure 1

Experimental setup of a passively Q-switched Nd:GdVO4 laser and the schematic of crystallographic axis of the Cr4+:YAG, polarized laser, and a rotation angle β

The 808 nm pump source was a fiber coupled laser diode. L1 and L2 were a set of collimating and focusing lenses. The a-cut Nd:GdVO4 crystal with a 0.3 at.% Nd3+ concentration had dimensions of 3×3×8 mm3. The crystal was wrapped with indium foil and placed into water-cooled copper heat sink. The input mirror M1 was a flat mirror with an antireflection coating at 808 nm and a high reflectivity at 1063 nm. The output coupler M2 had a transmission of 30 % at 1063 nm. The [100]-cut Cr4+:YAG crystal with initial transmission T 0 of 90 % acted as a saturable absorber. The cavity length was about 160 mm.

3 Experimental results and discussions

The dependence of energy transmission T i of the Cr4+:YAG crystal with the angle between the crystallographic axis and the polarization direction of laser was investigated firstly. The crystal was excited with a linearly polarized, AO Q-switched 1063 nm Nd:GdVO4 laser propagating along its growth direction. The schematic of crystallographic axis of Cr4+:YAG, polarized laser and rotation angle β is same as shown in Fig. 1. The laser was focused by a lens to increase the power density I L . The crystal was fixed on a precise rotatable mount in order to measure the rotation dependent T i . The experimental results are shown in Fig. 2.

Fig. 2
figure 2

T i of the [100]-cut Cr4+:YAG crystal as a function of rotation angle

From Fig. 2, we can see that at a power density of I L =4×105 W/cm2, there is an obvious anisotropic energy transmission. T i varied with the angle β, and the almost same T i peaks appeared every 90. When β was 0, 90, 180, and 270, the polarization direction of laser was parallel to the [001], [010], [\(00\overline{1}\)], and [\(0\overline{1}0\)] orientations of Cr4+:YAG, respectively, and T i had the maximum value. When the polarization direction of laser was parallel to the [011], [\(01\overline{1}\)], [\(0\overline{1}\overline{1}\)], [\(0\overline{1}1\)], orientations (β=45, 135, 225, and 275, respectively), T i was minimum.

The output characteristics of passively Q-switched Nd:GdVO4 laser with the [100]-cut Cr4+:YAG crystal were investigated. The experimental configuration is shown in Fig. 1. The incident pump power was 7.5 W and the Cr4+:YAG crystal was rotated in a full 360. The measured results are shown in Figs. 37.

Fig. 3
figure 3

Relation between the average output power and the rotation angle β

From Fig. 3, we can see that the maximum average output power was obtained when β was 0, 90, 180, and 270, respectively. This is because of when the polarization direction of laser was parallel to the [001], [010], [\(00\overline{1}\)], and [\(0\overline{1}0\)] orientations, the T i of Cr4+:YAG crystal had a maximum value. The loss was smaller and the laser was easier to oscillate compared with the directions of [011], [\(01\overline{1}\)], [\(0\overline{1}\overline{1}\)], and [\(0\overline{1}1\)].

The modulation depth Q o of Cr4+:YAG crystal is approximately directly proportional to the difference of T i and T 0. Q o peaks emerged when β was 0, 90, 180, and 270, respectively. Therefore, at these β values, the repetition rate and the pulse width were at a minimum and the pulse energy and the pulse peak power were maximum, as shown in Figs. 4, 5, 6 and 7.

Fig. 4
figure 4

Relation between the repetition rate and the rotation angle β

Fig. 5
figure 5

Relation between the pulse width and the rotation angle β

Fig. 6
figure 6

Relation between the pulse energy and the rotation angle β

Fig. 7
figure 7

Relation between the pulse peak power and the rotation angle β

There are four sinusoidal modulations of T i in a full 360. We studied the pulse width as a function of incident pump power at different rotation degree within 45 to illustrate the law of the full 360. The measured results are depicted in Fig. 8.

Fig. 8
figure 8

Pulse width as a function of incident pump power at different rotation degree

From Fig. 8, we can see that at the same incident pump power, the narrowest τ p was achieved when β was 0 and the largest could be obtained when β was 45. Due to the anisotropic transmission, at β of 0 and in the investigated pump power range (from 7.5 W to 13.7 W), the Cr4+:YAG crystal was fully bleached, and the pulse width was constant and ∼76 ns. At other angles (β=10, 22.5, 35, and 45, respectively), τ p was a decreasing function of the incident pump power, and it would decrease to a constant value of 76 ns (β=0) when the incident pump power increased. Because the gain of the laser oscillator is a function of the incident pump power level, as shown in Fig. 8, the gain impacts the pulse duration. If the Cr4+:YAG was fully bleached as the result of high gain or due to the laser polarization direction was parallel to the [001], [010], [\(00\overline{1}\)], and [\(0\overline{1}0\)] orientations, τ p was constant, otherwise τ p decreased when the gain increased.

4 Conclusions

In conclusion, we have demonstrated a passively Q-switched 1.06 μm Nd:GdVO4 laser with a [100]-cut Cr4+:YAG saturable absorber by 808 nm laser diode pumping. The output characteristics were investigated when the anisotropic transmission of Cr4+:YAG crystal and the different gain levels were considered. The experimental results showed that a pulsed laser output with narrower τ p , higher E p and P p can be achieved when the laser polarization direction was parallel to the [001], [010], [\(00\overline{1}\)], and [\(0\overline{1}0\)] orientations of Cr4+:YAG, respectively. Two different effects of constant τ p and varying τ p were observed due to the anisotropy of transmission of Cr4+:YAG crystal and the gain level. If the Cr4+:YAG was fully bleached as the result of high gain or due to the laser polarization direction was parallel to the [001], [010], [\(00\overline{1}\)], and [\(0\overline{1}0\)] orientations of Cr4+:YAG, which was more easily to be complete bleached, τ p was constant, otherwise τ p decreased when the gain increased.