In order to provide detailed parameters for 3000 W laser cutting of 14mm carbon steel, we need to consider various factors such as laser type (such as CO2, fiber optic), auxiliary gas, focal length, cutting speed and focal spot size. The following is a set of parameters suitable for this application: Laser type: Fiber laser (assuming a typical industrial setup)

Assist gas: Oxygen or Nitrogen (Oxygen is often used for carbon steel cutting because it reacts exothermically with the material, aiding the cutting process)

Focal length: Usually in the range of 100mm to 300mm. In this case, let’s assume it’s 150mm.

Cutting speed: This can vary depending on material thickness, laser type and desired edge quality. For 14mm carbon steel, the starting point can be around 1 meter per minute (m/min) to 2 m/min.

Focal spot size: usually between 0.1 mm and 0.3 mm. In this case we assume 0.2 mm.

Gas pressure: The gas pressure of the auxiliary gas (oxygen or nitrogen) will depend on the specific settings of the laser cutting machine. Typically, it ranges from 6 to 20 bar.

Nozzle diameter: usually selected based on material thickness and auxiliary gas. For 14mm carbon steel, a nozzle diameter of around 1.2mm to 2.0mm is suitable.

Power density: Power density refers to the laser power per unit area. It can be calculated with the formula: power density = laser power / (π * (focal spot size) ^2). For the parameters we assume: power density = 3000 W/ (π * (0.0002 m)^2)≈2387.3 kW/m^2.

Focus position: The optimal focus position depends on the specific settings of the laser cutting machine. It is usually set based on trial and error to achieve optimal cutting quality and efficiency.

Pierce Time: When starting to cut, a short pierce time is usually required to create an initial hole through which the laser can start cutting. The duration of the piercing time can vary, but is likely to be around 0.5 to 1 second.

Please note that these parameters are approximate and may need to be adjusted based on your specific laser cutting system, material conditions, and desired cut quality. It is always recommended to consult the equipment manufacturer or perform a test cut to optimize the parameters for your specific application.