Progressive Lens Surface Explorer
Comparative progressive-lens design library for examining published surface constructions, addition gradients, mean-power topology and isocylinder structure.
PLSE-HTML-2.0.3 · published-design library
Current field
Values are sampled over an elliptical lens aperture.
Achieved corridor addition
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D · near minus distance
Maximum mean-power gradient
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D/mm within aperture
Maximum cylinder equivalent
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D within aperture
Awaiting surface calculation.
Model record
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Three-dimensional power surface
Drag the surface to rotate it. Height and colour represent the selected field quantity.
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Isocylinder map
Lines join locations with equal cylinder-equivalent magnitude.
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Model definition
Power-vector field used to generate the two representations.
p(v) = shaped smooth progression from distance to near
A(v) = Add · p(v)
uc(v) = inset direction · inset · p(v)
Ceq(u,v) ≈ 2k |dA/dv| |u−uc| · corridor gate
M(u,v) = Mdistance + A(v) + βCeq(u,v)
|∇M| = √[(∂M/∂u)² + (∂M/∂v)²]
The displayed quantities are local surface-power or published power-field reconstructions. They are not through-lens wearer-power predictions. The tool does not perform exact ray tracing, thickness optimisation, prism thinning, blank optimisation or manufacturer-specific freeform compensation.
Reference coverage
Sources assessed during the online and EndNote review.
| Reference | Representation in this tool | Limit |
|---|---|---|
| Raasch 2011 | Published 60 mm Zernike coefficient surface | PAL-like research surface, not a named commercial design |
| US20210405392A1 | Published combined-surface Zernike coefficients | Normalisation and surface-sign conventions follow the patent interpretation |
| Qiu & Cui 2015 | Published hyperbolic meridional law with bipolar/harmonic field mapping | Power-field reconstruction; ambiguous printed coordinate resolved as a 12 mm corridor |
| US4861153 | Published bipolar geometry with eighth-order and linear power laws | Power-field reconstruction calibrated to reported astigmatism maxima |
| Blendowske et al. 2006 | Exact cubic analytical corridor | Valid as a local corridor model, not a complete PAL |
| Fowler 1993 | Published conic teaching construction | Reconstructed field; original computation stitched sampled meridians |
| Savio et al. 2011 | Published parametric fifth-order corridor construction | Representative parameterisation rather than the authors’ CAD mesh |
| Barbero & González 2020 | Compatibility/geodesic-curvature benchmark | The paper is a theorem and numerical test, not a disclosed production surface |
| Huang et al. 2013 | Aggregate measured-commercial-PAL envelope | No raw CMM grid or individual coefficient vectors were published |
| Raasch, Su & Yi 2011; 2025 Zernike optimisation; US6956682; US6883916 | Documented as external validation or future import sources | Insufficient coefficient or sag data verified for a defensible exact reconstruction |