As a non-contact processing method, laser processing has been widely used in the processing of glass. Lumley successfully achieved the first glass processing using a CO
2 laser through a controlled fracture technique [
9]. In the past few years, many studies on the laser processing of glass have been conducted, and many cutting methods are proposed [
10]. The laser scoring and breaking method is similar to the conventional scoring and breaking method, except that a certain depth of grooves is created by the laser beam acting on the glass, and other mechanical forces are used to break the glass [
11]. In this method, the problem of poor glass edges still exists, and an additional processing procedure is required. Some researchers used the laser melting and evaporation method to cut glass. However, this method not only results in the poor surface finish but also requires additional grinding and polishing process because the cutting procedure is above the glass transition temperature [
10,
12]. Laser-induced thermal-crack propagation is a type of cutting method that can achieve high cutting quality and efficiency without any subsequent cleaning and grinding. In this method, the material absorbs the laser photon energy to raise the temperature and generate compressive stress. Then, the processing area cools to generate residual stress as the laser beam moves. If these stresses exceed the failure stress, then a crack occurs and propagates along the direction of the laser beam movement [
10]. At present, this method has been widely used in cutting glass [
1,
13] and other transparent materials [
14]. However, the leading and trailing edges of the glass sheet sometimes have a cutting deviation. Hence, researchers proposed the multiple laser system [
15] and dual-laser beam method [
16,
17] to revise the cleaving path and obtain a stable fracture on the surrounding region of the laser moving path with laser-induced thermal-crack propagation. Moreover, the glass sheets with straight and curved fractures were simulated and realized using the circular microwave spot with the thermal-controlled fracture method because the microwave heat source can be used to heat the inner part of glass sheets at low temperatures [
18]. The ultrashort pulse laser processing methods, such as femtosecond laser cutting [
19,
20] and femtosecond filamentation [
21] processing, become highly extensive in glass processing with a high cutting quality due to minimal thermal effects. A feasible chemically strengthened glass separation technique by integrating picosecond laser ablation with quenching-induced thermo-shock has been developed and demonstrated. Through this method, various enclosed shapes with the surface roughness are successfully separated, and the chipping level can satisfy the requirement [
22]. However, this method is limited by the thickness of glass and is suitable for micromachining due to its high cutting quality [
23,
24]. A flexible laser multi-focus separation technology was proposed to address the problem of laser processing of thick glass. A high-quality edge cutting of 20-mm soda-lime glass was achieved using this method because the temperature and thermal stress are evenly distributed by producing multi-focus along with the thickness of the material [
25]. The laminated glass with a very smooth sidewall was also successfully separated using three laser foci acting on each layer, without any separation defects, such as chipping, microcracks, or subsurface damage [
26].