Enter Laser and Beam Inputs
The page uses a single main content flow, while the calculator fields switch to 3 columns on large screens, 2 on smaller screens, and 1 on mobile.
Formula Used
Circular: A = π(d/2)2
Rectangular: A = w × h
Elliptical: A = π(a/2)(b/2)
Delivered Power = Source Power × Delivery Efficiency
Absorbed Power = Delivered Power × Absorptivity
Average Incident Density = Delivered Power ÷ Area
Average Absorbed Density = Absorbed Power ÷ Area
For Gaussian beams, centerline density = 2 × average density
Energy per Pulse = Delivered Average Power ÷ Repetition Rate
Peak Power = Energy per Pulse ÷ Pulse Duration
Peak Density = Peak Power ÷ Area
Fluence = Energy per Pulse ÷ Area
This calculator treats the entered spot dimensions as the effective beam footprint at the work surface. Gaussian mode estimates centerline values using a factor of two relative to the average footprint calculation.
How to Use This Calculator
- Select continuous wave or pulsed mode first.
- Enter source laser power and choose the correct power unit.
- Set delivery efficiency to reflect optical train losses.
- Enter material absorptivity for estimated absorbed density values.
- Choose the beam shape and beam profile.
- Enter actual spot dimensions at the target surface.
- For pulsed systems, add repetition rate and pulse duration.
- Press the calculate button to show results above the form.
- Use the CSV and PDF buttons to export the result summary.
- Review the chart to understand how spot size changes intensity.
Example Data Table
| Scenario | Mode | Beam Shape | Power | Spot Size | Delivery Eff. | Absorptivity | Engineering Use |
|---|---|---|---|---|---|---|---|
| Fiber cutting head | CW | Circular | 1000 W | 0.30 mm diameter | 96% | 35% | Metal cutting and focused thermal loading checks |
| Laser welding setup | CW | Elliptical | 750 W | 0.60 × 0.35 mm | 94% | 42% | Assess seam width and absorption behavior |
| Marking laser | Pulsed | Circular | 30 W | 60 µm diameter | 92% | 55% | Estimate peak intensity and pulse fluence |
| Surface treatment line | Pulsed | Rectangular | 120 W | 0.80 × 0.25 mm | 90% | 28% | Evaluate coating interaction and local heating |
Frequently Asked Questions
1. What does laser power density mean?
Laser power density is the delivered laser power divided by the illuminated area. It indicates how concentrated the energy is at the target surface and strongly influences heating, melting, ablation, and process stability.
2. Why does spot size affect the result so much?
Area changes with the square of beam size. A small reduction in spot diameter can sharply raise density, which is why focusing conditions strongly affect machining quality and thermal response.
3. When should I use Gaussian mode?
Use Gaussian mode when the beam has a strong center peak and the entered dimensions represent the effective footprint or 1/e² style diameter. It helps estimate higher centerline intensity than a uniform beam assumption.
4. What is the difference between incident and absorbed density?
Incident density is the optical intensity reaching the work surface. Absorbed density estimates the portion converted into the material after applying absorptivity, which is more useful for thermal process comparisons.
5. Why are pulsed calculations different from CW calculations?
Pulsed lasers deliver energy in short bursts. Even with modest average power, the peak power and peak density can become very high, making pulse duration and repetition rate essential inputs.
6. What does fluence tell me?
Fluence is pulse energy per unit area. It is especially helpful for pulsed marking, cleaning, ablation, and threshold-based material studies where each pulse must exceed a surface interaction level.
7. Can I use this for welding, cutting, and marking?
Yes. The calculator is useful for many engineering tasks, including cutting, welding, drilling, surface treatment, and marking. Actual process quality also depends on speed, focus, shielding gas, and material condition.
8. Does this replace laboratory beam characterization?
No. This tool supports fast engineering estimates. Certified beam profiling, reflectivity measurements, temporal pulse characterization, and process trials are still needed for final equipment settings and validation.