Power is linear, but Speed is a reciprocal (1/x). Dropping speed doesn't just increase heat—it causes it to spike exponentially as you approach the crawl zone.
Act I: The Bug
The "Exponential Burn" Spike
Laser Speed10 mm/s
Relative Dose
10.0x
Thermal Stability
Critical
Peak Heat Stress
The Failure: Because speed is in the denominator of the energy equation (E ∝ 1/S), dropping from 10mm/s to 1mm/s doesn't double the heat—it multiplies it by 10. This "Crawling Burn" instantly vaporizes the metal.
Act II: The Fix
Linear Stability (High-Speed Range)
Laser Speed500 mm/s
Relative Dose
1.0x
Thermal State
Stable
Peak Heat Stress
The Success: At high speeds (200–2000 mm/s), the 1/x curve flattens out. Changes in speed here are more predictable and linear, allowing for stable color control and uniform marks.