Master Optical Engineering Suite v2.1 | Yamout Optical Center

Yamout Optical Center

Since 1978 Lebanon

Master Optical Engineering Suite Version 2.1 Single-File • Turbify-Ready

Interactive Master Optical Engineering Reference & Lab Report

Calculators + live examples + lab-ready geometry diagrams: Sagitta, Decentration, MBS, Edge Thickness, plus v2.0 extensions for aspheric/atoric concepts, free-form lens notes, and wrap/tilt compensation — now with a Frame Anatomy Guide, a copyable Lab Slip, and a Branch Directory. Built for clinical use, staff training, and lab communication.

Modules

Pick a section. Everything updates live and diagrams follow your inputs.

Geometry
Centration, MBS & Lab Slip
Prism
Vertex & Tilt/Wrap
Materials
v2.0 Aspheric/Atoric & Free-Form
Branches

1) Physical Geometry

Radius of curvature + sagitta (exact/approx). Use mm inputs; power in diopters.

Spherical surface model
Radius of Curvature r (mm)
—
Exact Sagitta s (mm)
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Approx Sagitta s≈ (mm)
—
Notes
—
Formulas
r = 1000 (n − 1) / F
s = r − √(r² − y²)
s ≈ (y² · F) / (2000 (n − 1))
Tip: In labs, we often use the magnitude |F| for geometric depth comparisons. Signed power matters for optics; geometry is depth magnitude.

Diagram: Sagitta Geometry

Chord = 2y. Sagitta = curve depth. Updates live from your inputs.

SVG

The arc represents the lens surface. The straight line is the chord. The vertical drop at mid-chord is the sagitta.

Edge Thickness (Minus Lens)

Quick engineering estimate: ET = sback − sfront + CT. Use magnitudes for s.

Thickness model
Sag Front (mm)
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Sag Back (mm)
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Edge Thickness ET (mm)
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Interpretation
—
Lab Notes
This model is a geometry estimate (spherical surfaces, no bevel, no roll/polish allowances). Real lab edge thickness also depends on: bevel placement, frame groove depth, safety bevel, lens design (aspheric/atoric), and actual base curve selection.

Diagram: Edge Thickness Cross-Section

Shows front/back sagitta and resulting edge thickness. Updates live from ET inputs.

SVG

Not to scale. Intended for staff training and patient-friendly explanation (why frame size + index change thickness).

2) Centration & Minimum Blank Size

Decentration + MBS (ED + 2·Dec + 2mm safety). Great for ordering blanks and avoiding cut-out.

Fit & stocking
Don't know ED? Quick estimate: ED ≈ A + 2 mm.
Total Decentration Dec (mm)
—
Minimum Blank Size MBS (mm)
—
Effective Radius yeff = (ED/2)+Dec (mm)
—
Blank Stock Check
—
Formulas
Dec = ((A + DBL) − IPD) / 2
MBS = ED + 2·Dec + 2 mm
y_eff = (ED/2) + Dec

Diagram: Decentration & MBS Geometry

Visualizes ED circle + decentration shift and the resulting minimum blank size.

SVG

The ED circle is centered on the lens shape. Decentration shifts the OC relative to the blank. MBS ensures full cut-out plus safety allowance.

Frame Anatomy Guide

Reference diagram for A, B, ED, and DBL — the four measurements every lab order needs.

Reference
A (Width) B (Height) ED (Diagonal) DBL
A: Lens width (boxing system).   B: Lens height (boxing system).   ED: Effective Diameter (longest diagonal) — used for blank sizing/thickness trend.   DBL: Bridge distance between lenses.

Lab Slip Generator

Builds a copyable order slip from your Rx and the Centration & MBS fields above.

Job spec
Frame PD (A + DBL)
—
Decentration / eye
—
MBS Needed
—
Estimated Edge Thickness
—
Estimated Center Thickness
—
Uses A / B / DBL / IPD / ED from the Centration & MBS card above.

3) Prentice’s Rule (Induced Prism)

P = (F · c) / 10 where c is mm from OC. Useful for troubleshooting discomfort and verifying centration tolerances.

Dispensing check
Induced Prism P (Δ)
—
Quick Note
—
Formula
P = (F · c) / 10

Live Example

Try: F = −6.00D and c = 2.0mm → P = 1.20Δ (approx). Even “small” decentrations can matter with high power.

Training
Clinical interpretation
If a patient reports headaches, pull, or “image swim,” verify: PD measurement, frame alignment, monocular PDs, and whether the OC was set correctly. In high minus prescriptions, induced prism rises quickly with even a few mm of error.

4) Vertex Compensation

Fc = F / (1 − d·F), with d in meters (change in vertex distance). Common for strong Rx when moving lens closer/farther.

Strong Rx
Compensated Power Fc (D)
—
Practical Note
—
Formula
d(m) = d(mm) / 1000
Fc = F / (1 − d · F)

Tilt / Wrap Induced Astigmatism

Engineering approximation: C_induced ≈ F · tan²(θ). Useful for “why does wrap feel weird?” education.

Approx model
C_induced (D)
—
Note
—
Engineering Reminder
This is a simplified demonstration used for staff training. True compensated prescriptions depend on lens form, index, position-of-wear, and design (often handled via surfacing software / free-form optimization).

Power at Any Meridian

Meridian power model for sph/cyl/axis: Fθ = Sphere + (Cylinder · sin²(θ − Axis)). Use to teach “where max power lives”.

Meridian scan
Fθ (D)
—
Max / Min Meridians
—

Material Selection Matrix

Select a material to load n / Abbe / density. Use it to compare thickness and optical clarity tradeoffs.

Lab + dispensing
Clarity Flag
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Staff Message
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Quick rules
  • Abbe low (≈30) → higher chromatic aberration risk (edge “rainbows”).
  • Higher index → thinner, but not always best clarity-to-cost.
  • Density influences weight and comfort, especially in large frames.

Thickness Comparison Helper

Use the same geometry estimate across different indices to show the patient / staff what changes (and what doesn’t).

Demo tool
ET @ 1.60 (mm)
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ET @ 1.67 (mm)
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ET @ 1.74 (mm)
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Difference (1.67 → 1.74)
—
Note: This uses the same spherical-sag thickness model as the ET module for a consistent “engineering comparison.”

Version 2.0 Extensions

Aspheric / Atoric concept demo + free-form overview + wrap compensation notes (staff training layer).

Advanced module
Aspheric sag (concept)
A true aspheric surface is not a perfect sphere. One common sag model (concept) uses a conic constant k:
z(y) = (y² / r) / (1 + √(1 − (1 + k)·(y² / r²)))
Interpretation: changing k changes how quickly the surface “flattens” in the periphery, helping reduce rings and improve cosmetics.
Atoric (concept)
Atoric surfaces extend the aspheric idea by using different curvature behavior across meridians (useful in astigmatic prescriptions). In practice, modern atoric designs are typically handled via design libraries and optimization software rather than manual calculations.
Free-form lenses (overview)
Free-form surfacing uses CNC-generated surfaces to match position-of-wear, corridor behavior (PAL), and wearer-specific parameters. Key inputs: vertex distance, pantoscopic tilt, wrap angle, PD/height, fitting point, and frame dimensions.

Aspheric “k” Demo

This is a concept demo to show how periphery sag changes when k changes (not a substitute for real design files).

SVG + math
Aspheric sag z(y) (mm)
—
Sphere sag s(y) (mm)
—
Difference (Asph − Sphere)
—

The curve is exaggerated for visualization. In real lens design, “small” sag differences can meaningfully change thickness, rings, and optics.

Branch Directory

Quick reference for staff — phone, WhatsApp, and hours for every branch. Since 1978.

5 Locations
Zoukak Al-Blat (Main) — Beirut
زقاق البلاط
Tel: +961 1 377 238
WhatsApp: +961 3 215 140
Mon–Fri 8:30 AM–6:30 PM · Sat 8:30 AM–4:30 PM · Sun closed
Directions
Baakleen
بعقلين
Tel: +961 25 301 776
Directions
Damour
الدامور
Tel: +961 25 601 689
Directions
Bir El Abed
بئر العبد
Tel: +961 1 551 123
Directions
Qabr Shmoun
قبرشمون
Mobile: +961 70 998 467
Directions

Exact map pins for Baakleen, Damour, Bir El Abed, and Qabr Shmoun are pending — Maps search links are used until confirmed.

Yamout Optical Center • Lab & Engineering Notes

This suite is designed for staff training, quoting, and lab communication. For production orders, use your lab’s design library and position-of-wear workflow.

Since 1978
This tool merges the earlier Master Lab Calculator (frame anatomy + lab slip) into the full Master Optical Engineering Suite, so this one file replaces both.