## 1 Introduction  
The cutting of materials is one of the most widely used laser machining processes. The principle consists of the movement of a focused laser beam perpendicular to the plane of the machined surface. The absorption of high energy laser radiation causes the material to melt and subsequently evaporate, creating the desired cut. For this purpose, a powerful CO\({}_{2}\) laser is still very frequently used, producing a beam with a wavelength of 10.6 \(\upmu\)m [1]. In the past, CO\({}_{2}\) lasers were by far the most widely used devices for laser cutting. In recent years, the laser with the largest market for industry use has been the fiber laser, with a wavelength of 1064 nm. In industrialized countries, such as Japan, material cutting operations performed by beam radiation are very widespread and have grown significantly in recent years [2, 3]. Due to their unique efficiency and accuracy, these technologies have become the center of attraction in various fields of application [4]. The cutting process is fast, non-contact, and highly automated and there is only thermal stress in a very limited area, allowing the cutting of a wide range of materials. Additionally, low operating costs are achieved, despite the high initial investment and the requirement for qualified staff [5]. In the case of wood and wood-based products, laser machining is widely accepted by the wood industry [6, 7, 8]. The laser processing of wood was one of the earliest applications of laser use in the 1970s [9; 10]. The advantage of the laser system is its ability to cut complicated patterns. The application of lasers in the furniture industry for automated cutting processes us also well-known [11; 12]. In addition to cutting, CO\({}_{2}\) lasers are also used for the irradiation or engraving of a wood surface [13; 14; 15; 16; 17]. The main advantages of the laser cutting of wood in comparison with conventional cutting methods are the highly precise cut, flexibility to start and finish cutting at any point of the board, narrow kerf width (0.1-0.3 mm compared to saw cut of 3-6 mm), and extremely smooth surfaces [18; 19; 20; 21; 22; 23]. Other advantages of laser wood cutting are the absence of tool wear, low noise emission and vibration, low sensitivity to very variable processing properties [24; 25; 26; 23], reduced amount of sawdust [27; 28; 29; 30; 31], and low mechanical stress in the workpiece [32; 33]. Factors influencing the process of cutting wood and wood composites by a laser can be divided into three groups [34; 35; 36], namely, the properties of the radiation beam, the properties of the laser device and the characteristics of the cutting process, and the properties of the workpiece, specifically, the effects of the beam power, mode, and polarization as aspects of optics; the location of the focal point; the feed speed; the gas-jet assist system and workpiece thickness; the density; and the moisture content [37; 38; 39; 40; 41; 42; 43; 44]. In the case of wood composites, [PERSON] et al. [45] investigated the parameters of the process of MDF board cutting with a beam of radiation generated by a CO\({}_{2}\) laser with a power of 520-530 W in pulse and continuous mode. The optimal setting of the parameters for the MDF board cutting was achieved by the experimental change of the cutting speed, the composition of the auxiliary gas and its pressure, and the change of the position of the radiation beam focusing in the material. The results showed that narrow kerf widths are achievable for MDF laser-cut boards, particularly for pulse mode cutting. Striation patterning, although masked by external charring, is evident, but this is of little significance to the overall quality of cut, as evidenced by the low surface roughness values obtained. Burnout was also minimal, even for angular profile cuts of small internal angles. These results were also in agreement with [PERSON] [46]. [PERSON] et al. [47] investigated a means for selecting the process parameters for the laser cutting of MDF based on the design of experiments.