Five prescribed sink/width regimes, independent Fourier quadrature and radial finite-volume solution. All available predeclared checks passed. This is model consistency, not experimental validation. Third-party special-function library comparison unavailable.
| a | K T(center)/P | K T(probe)/P | Center relative error | Probe relative error |
|---|---|---|---|---|
| 0.0001 | 0.6870788977 | 0.6319856349 | 1.94e-05 | 2.06e-05 |
| 0.01 | 0.3245576283 | 0.272352096 | 1.87e-06 | 1.1e-06 |
| 1 | 0.04745581526 | 0.02875361773 | 2.57e-06 | 3.87e-06 |
| 100 | 0.0007879715306 | 0.0003959175227 | 1.2e-05 | 8.21e-06 |
| 10000 | 7.956951539e-06 | 3.978674654e-06 | 1.11e-05 | 8.33e-06 |
Center: P F(a)/(4πK). Matched Gaussian probe: P F(2a)/(4πK). a=Gσ²/(2K), F(a)=eᵃE₁(a). Optical 1/e² radius w=2σ.