Ultra-Precision Optical Finishing

Magnetorheological Finishing (MRF) Removal Rate & Dwell Time Calculator

Model Prestonian removal rates ($MRR = k_p \cdot P \cdot V$), magnetorheological ribbon shear force, peak volumetric removal rate, and 5-axis dwell-time deconvolution for freeform and aspheric optics.

Process Parameters & Fluid Rheology

MRF Wheel Peripheral Velocity $v_w$ (m/s)

Linear surface speed of rotating magnetic wheel rim (typically 1.2 - 2.2 m/s).

Magnetic Flux Density in Gap $B$ (Tesla)

Electromagnet field gradient creating apparent viscosity increase in MR fluid.

Ribbon Penetration Depth $d_{\text{ribbon}}$ (mm)

Immersion depth of optical surface into stiffened MR fluid ribbon.

Optic Clear Aperture Diameter (mm)

Diameter of circular or aspheric optical element being polished.

Initial Surface Form Error $PV_i$ (nm)

Peak-to-valley wavefront error from prior diamond turning or grinding.

Target Form Accuracy $PV_t$ (nm)

Desired final optical accuracy (e.g. $\lambda/20$ at 632.8 nm).

Preston Coefficient $k_p$ ($10^{-13}\,\text{m}^2/\text{N}$)

Material removal constant (Fused Silica: ~3.4, Zerodur: ~2.8, Silicon: ~4.1, Sapphire: ~1.2).

Calculated Removal & CAM Metrics

Peak Removal Rate (MRR)

0.00 µm/min

Volumetric Removal Rate

0.00 mm³/min

Total Dwell Polishing Time

0.0 min

Raster Stepover Pitch

0.00 mm

MRF Polishing Spot & Dwell Simulation

Dynamic Spot Area: 0.0 mm² Hydrodynamic Shear Stress: 0.0 kPa

Precision Vector Preflight & Conversion

Export sub-aperture optical dwell maps, raster CAM paths, and DXF vector profiles directly to your 5-axis CNC optical polisher.

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