Artisan Lab Network
Optical Engineering Center
Professional optical calculations, lens design tools, prism analysis, and engineering references for laboratories and eyecare professionals.
12 Professional Calculators
Optical Engineering References
Real-Time Calculations
Laboratory Grade Results
Applied Optical Engineering
Precision calculations for real-world lens design.
Engineering Model
Live optical model first.
Calculator Results
Lens Thickness at 180°
Estimate finished horizontal edge thickness from Rx, PD, frame A/DBL, index, and center thickness.
Material Comparison
Calculator Workspace
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Optical Reference Library
Technical formulas, in one place.
Prentice Rule
Prism = c × F, where c is decentration in centimeters and F is lens power in diopters.
Martin Rule
A practical base curve selection rule used to keep lens form comfortable and cosmetically balanced.
Sagitta Formula
Sagitta estimates curve depth from radius and chord for lens surface geometry.
Thickness Formula
Lens thickness estimates depend on power, radius, index, decentration, and minimum center/edge thickness.
Surface Curve Formula
Surface Power = (n − 1) / radius, with radius in meters.
Vertex Compensation
Compensated Power = F / (1 − dF), with d in meters.
Crossed Cylinder Math
Power vectors M, J0, and J45 make cylinder combinations and axis changes easier to model.
Lens Material Comparison
Higher index materials reduce estimated thickness but may introduce Abbe and coating tradeoffs.
Abbe Values
Abbe value describes chromatic dispersion; lower values can increase color fringing.
Laboratory Best Practices
Always validate calculator estimates against lab standards, frame trace, Rx, material, coatings, and safety rules.
Live Calculator
Lens Comparison Engine
Compare estimated finished thickness side-by-side across Plastic, Trivex, Polycarbonate, 1.60, 1.67, 1.74, and 1.76 indexes using Rx, PD, and frame measurements.
Export and Reporting
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Artisan Lab Network
Optical Engineering Calculation Report
Lens Thickness at 180°
Job Setup
Prescription: -2.50 -1.00 × 180 · Add +2.00 · PD 62.00
Lens: 1.60 Index · CT 2.00 mm
Frame: Rounded Rectangle · Full Rim · A 52.00 / B 38.00 / DBL 18.00
Results
ALN Optical Engineering Center Calculator: Lens Thickness at 180° Prescription: -2.50 -1.00 × 180 · Add +2.00 · PD 62.00 Lens: 1.60 Index · CT 2.00 mm Frame: Rounded Rectangle · Full Rim · A 52.00 / B 38.00 / DBL 18.00 Horizontal Power: -2.50 D Decentration: 4.00 mm Effective Diameter: 56.00 mm Thickness Increase: 1.87 mm Estimated Edge Thickness: 3.87 mm