Contact LensCalc

RGP Contact Lens Parameters and Starting Power

RGP contact lens parameters are starting base curve and power you calculate from keratometry and the spectacle refraction, not a soft-lens conversion.

Contact Lens Calc converts keratometry and spectacle power into starting RGP contact lens parameters at the corneal plane. A rigid gas permeable (RGP, or GP) lens keeps its shape on the cornea, so the tear layer under it has real power. Calculate a starting base curve and power, then fit on eye. This page is manufacturer-agnostic. It is not a GPLI or Art Optical design calculator. Soft spectacle-to-contact conversion stays on the conversion calculator.

Verify with over-refraction after the trial lens.

Clinical takeaway

Starting RGP contact lens parameters are a diagnostic base curve and power from K readings and the spectacle refraction. They are not a finished GP order.

Not a Rx

Not a prescription / on-eye next step

Fluorescein, diameter, peripheral curves, and final power still require a licensed fitting. According to the GPLI, Toric and Spherical Lens Calculator, an empirical result is a starting point toward successful GP wear, not a finished first-fit order.

Reviewed by Optom. Deepak Ghimire, B. Optometry, PGDOVS — Consultant Optometrist, Myopia & Contact Lens Specialist.

What are RGP contact lens parameters?

RGP contact lens parameters are the ordered base curve, power, and diameter of a rigid gas permeable lens as worn on the cornea.

According to the FDA, Types of Contact Lenses, there are two general categories of contact lenses: soft and rigid gas permeable (RGP). All contact lenses require a valid prescription. Soft lenses are flexible plastics that pass oxygen to the cornea. RGPs are more durable, resist deposits, and generally give clearer vision. They are less comfortable at first. The FDA states adaptation may take a few weeks for RGPs versus several days for soft lenses.

According to the American Optometric Association, Types of Contact Lenses, RGP lenses are slightly flexible plastics that allow oxygen through, with excellent vision listed as an advantage and a short adaptation period. Those two adaptation wordings are not collapsed into one unattributed duration.

The following four values make up the starting GP set this guide covers:

  • Base curve in millimeters or diopters, from keratometry
  • Ordered sphere after tear-lens and vertex adjustments
  • Cylinder and axis when a GP toric or bitoric is indicated
  • Overall diameter as a design field a glasses Rx never contained

They are not a soft-lens SKU. According to the ODReference, RGP Lens Calculator, manufacturer fitting guides and slit-lamp findings remain the primary references for design selection, edge profile, diameter, and overall fitting strategy.

When is a gas permeable lens indicated instead of a soft lens?

A gas permeable lens is indicated for an irregular cornea that a soft lens would drape.

Keratometry measures corneal curvature. Corneal topography maps the surface in three dimensions. An irregular cornea (high astigmatism or keratoconus) is a reason to consider RGP rather than a soft lens. An RGP lens retains its shape on blink. A soft lens conforms to the eye, which is a disadvantage when the cornea is irregular.

The following three findings push the path off a spherical soft conversion:

  • Irregular cornea named as high astigmatism or keratoconus
  • Soft draping that would copy that irregularity
  • Keratometry or topography that sets GP base curve, not a soft 8.x mm picker

That indication is the depth promised from Starting Contact Lens Parameters Are Not a Prescription. GP starting parameters still are not a prescription.

According to Review of Contact Lenses, Empirical Fitting of GP Lenses, empirical fitting means designing without diagnostic lenses from refraction and keratometry (often topography) plus a lab nomogram. That path still starts from K readings. It does not skip on-eye confirmation.

Patient aside (Grade 8 to 9)

Rigid gas permeable lenses are the “hard” lenses the FDA groups opposite soft lenses. They sit on a layer of tears and keep their shape. Only a licensed fitter decides if that design is indicated. Do not order GP lenses from a glasses prescription.

How do you convert keratometry readings to a starting GP base curve?

A starting GP base curve is converted from keratometry by taking the flattest K reading, matching units, then choosing on-K, steeper, or flatter as a fitting philosophy.

Keratometry (a K reading) is the measured curvature of the cornea in diopters or millimeters. Flat K is the flatter principal meridian. Steep K is the steeper meridian. According to Ento Key, Rigid Contact Lenses Basics (Stein et al., Fitting Guide for Rigid and Soft Contact Lenses, 4th ed.), contact lens work usually first considers the flattest K reading.

Rigid gas permeable back optic zone radius versus the cornea in sagittal view.

The following four steps are that conversion, not a lab order:

  1. Record flat K and steep K from the keratometer or simulated K from topography.
  2. Convert both meridians into the same unit with D = 337.5 ÷ r (r in millimeters).
  3. Select an initial base curve relative to flat K (on K, steeper, or flatter).
  4. Confirm the trial on eye with fluorescein before locking the ordered curve.

Those four steps answer how to calculate base curve from a K reading for an RGP. They are not how to pick a soft 8.5 versus 9.0. Soft base curve remains a different entity on Base Curve of Contact Lenses. This URL does not output peripheral curves or optical zone.

How do millimeters and diopters convert for K readings?

Keratometry millimeters and diopters convert with D = 337.5 ÷ r, using the keratometric index 1.3375.

Shorter corneal radius as higher keratometric power versus longer radius as lower power; D = 337.5 ÷ r is on the page, not on the image.

Formula block

D = 337.5 ÷ r and r = 337.5 ÷ D

D is equivalent corneal power in diopters. r is anterior radius in millimeters. The constant 337.5 is the standardized keratometric refractive index 1.3375 expressed for r in millimeters. According to the ODReference, MM to Diopter Conversion Calculator, this convention produces SimK-style values used for contact lens fitting and ordering. The same 1.3375 index is the keratometric convention described in Wikipedia, Intraocular lens power calculation.

A shorter radius is a steeper cornea and a higher dioptric value. A longer radius is a flatter cornea and a lower dioptric value. Around typical corneal radii, 0.10 mm corresponds to roughly 0.50 D of curvature change on that same ODReference radius page.

The following table shows common K values converted with r = 337.5 ÷ D, rounded to two decimals. Cells are recomputed from the formula. They are not pasted from GPLI or ODReference charts. The GPLI, Conversion Charts independently list 45.00 D → 7.50 mm, which matches the first row.

Keratometry diopters converted to radius with D = 337.5 ÷ r
K reading (D)Radius (mm)
45.007.50
44.507.58
44.007.67
43.007.85
42.008.04

Those five pairs are a chairside lookup, not a GP design calculator. Art Optical, Diopter-Radius Conversion converts the same two units as a lab tool; this table stays on the 1.3375 convention only.

Is the starting GP base curve on K, steeper, or flatter?

Starting GP base curve may be on K, steeper than K, or flatter than K; this site does not pick one nomogram as an engine.

According to the same Ento Key page, if the back surface of the lens is the same radius as K, that is fitting on K. For K readings 44.50/45.00, the on-K base curve is 44.50 D or 7.58 mm. RGP lenses may be fitted on K, flatter than K, or steeper than K, depending on lens size and corneal astigmatism.

According to Contact Lens Spectrum, Rules of Thumb (Tony A.J. Phillips and Kristin Bailey, October 2024), two commonly used rules of thumb in GP practice are: choose an initial back optic zone radius (BOZR) 0.10 mm steeper than the flattest K reading; and a 0.50 mm change in back optic zone diameter (BOZD) historically required a 0.05 mm BOZR change to keep the same central fluorescein pattern. That article states both rules are only partially correct and are guides, not scientifically exact engines.

According to Opterio, Base Curve Selection for Contact Lenses, an alignment starting point is often 0.50 to 1.00 D flatter than flat K (or 0.05 to 0.10 mm flatter). That page’s steep fit is on flat K or up to 0.50 D steeper. Those numbers are that author’s fitting philosophy. They are not Contact Lens Calc’s calculator.

Takeaway: convert the K reading to a radius, then choose a philosophy and prove it with fluorescein. Do not treat “0.10 mm steeper” or “0.50 D flatter” as this site’s engine.

How does the tear lens change ordered GP power?

The tear lens changes ordered GP power by about base curve in diopters minus flat K.

Rigid gas permeable lens with plus tear lens when the base curve is steeper than the cornea and minus tear lens when flatter.

According to the ODReference, RGP Lens Calculator, RGP lenses retain their shape instead of draping over the cornea. The space between the back surface of the lens and the anterior cornea fills with tears and forms a tear lens with real refractive power. Ento Key calls that interface a fluid lens. If the back surface radius matches the front surface of the cornea, that fluid lens is zero.

The following three signs are that tear lens:

  • Lens steeper than the cornea (BC smaller in mm than K): tear lens acts as plus
  • Lens flatter than the cornea (BC larger in mm than K): tear lens acts as minus
  • Lens on K: tear-lens power about zero before residual cylinder is considered

According to ODReference, tear lens (D) ≈ base curve (D) − flat K (D). Example: flat K 44.00 D and selected base curve 45.00 D give a tear lens of about +1.00 D. If you change the base curve after assessing fit, the tear lens changes too. Ordered power must change to keep the same net optical result.

What do SAM and FAP mean when the base curve changes?

SAM means Steeper Add Minus and FAP means Flatter Add Plus when GP base curve changes.

According to ODReference, steepening the base curve creates more plus tear-lens power, so you add minus to the ordered lens power. Flattening the base curve creates more minus tear-lens power, so you add plus. Around typical corneal curvatures, a 0.10 mm base curve change is often close to 0.50 D of tear-lens change.

Worked SAM: ordered power −3.00 D at 8.00 mm BC. New BC 7.90 mm is 0.10 mm steeper, about 0.50 D. New starting power is −3.50 D. Those step sizes match the first example on Opterio’s base-curve page; the 1:1 diopter match is the ODReference tear-lens formula.

Worked FAP: ordered power −2.50 D at 42.00 D BC. New BC 41.50 D is 0.50 D flatter. New starting power is −2.00 D.

Opterio notes some sources use a 0.50:1 or 0.75:1 ratio and treats 1:1 as common for examination questions. This page uses the tear-lens subtraction in diopters, then the 0.10 mm ≈ 0.50 D chairside approximation from ODReference.

When diameter changes with base curve, ODReference states to flatten by about 0.05 mm (0.25 D) for every 0.4 mm increase in diameter to keep a similar sagittal relationship, then apply SAM-FAP. Contact Lens Spectrum’s later BOZD note uses 0.10 mm to 0.15 mm BOZR per 0.50 mm BOZD for an average corneal eccentricity. Those two sag rules are not merged into one number here.

How do you calculate starting RGP lens power from the spectacle refraction?

Starting RGP lens power is calculated as corneal-plane spectacle power combined with the tear lens, then rounded to 0.25 D.

According to the GPLI, Toric and Spherical Lens Calculator, powers are vertexed to the corneal plane. This site’s vertex gate remains meridians of about ±4.00 D, with default vertex 12 mm when unspecified. The GPLI, Conversion Charts vertex column starts at 4.00. That chart does not disclose vertex distance in millimeters, so 12 mm is not attributed to GPLI. Isolate that compensation on the Contact Lens Vertex Calculator and Distance Chart.

The following four steps calculate starting GP power:

  1. Vertex each spectacle meridian at or above about ±4.00 D.
  2. Convert the selected base curve and flat K into diopters if they were entered in millimeters.
  3. Add the tear lens (BC in D minus flat K) with SAM or FAP as the sign check.
  4. Round the ordered sphere to the nearest 0.25 D.

GPLI lets the user round diopters to 0.25 or 0.01. Contact Lens Calc keeps 0.25 D as the manufacturing step used elsewhere on this site. The result is starting power for a diagnostic GP.

When does a spherical GP become a toric or bitoric design?

A spherical GP becomes a toric or bitoric design when corneal cylinder is above about 2 D and the tear lens cannot finish the cylinder.

According to GPLI, Spherical GP Contact Lenses, the spherical GP nomogram is a dynamic empirical method for patients with ≤2 D of corneal cylinder. For >2 D of corneal astigmatism, a GP toric lens is recommended, with toric powers, base curve radii, and overall diameter provided via on-eye optical crosses.

According to ODReference, a spherical RGP can typically neutralize up to about 2.00 D of with-the-rule corneal astigmatism through the tear lens alone. Beyond that, residual astigmatism appears in the over-refraction. Bitoric designs are often considered around 2.00 to 2.50 D or more of corneal toricity.

The following table compares those sourced thresholds. It is not an Art Optical Single / Bi Toric / Back Toric output.

Sourced spherical, GP toric, and bitoric corneal-cylinder thresholds
Design classSourced corneal-cylinder noteTear-lens role
Spherical GPGPLI ≤2 D; ODReference about 2.00 D WTRTear film fills a spherical back surface over a toric cornea
GP toricGPLI >2 D corneal astigmatismToric radii and powers from on-eye optical crosses
BitoricODReference often 2.00 to 2.50 D or more of corneal toricityBack-surface toricity plus any remaining front-surface cylinder

GPLI’s toric diameter picker and ODReference’s toric diameter picker both list 8.0–8.6 mm, 8.7–9.3 mm, and 9.4–10.2 mm (GPLI marks 8.0–8.6 mm torics only). Those bands are typical overall-diameter groups on those tools. They are not an order from this page.

Art Optical, Standard Lens Design Calculator returns Single, Bi Toric, or Back Toric parameters, including optical zone, and can require a consultation when a front-toric is needed or limits are exceeded. This guide does not clone those outputs. Residual-error math after a toric GP trial belongs with over-refraction, not a second nomogram here.

How is GP starting power verified with over-refraction?

GP starting power is verified by measuring residual refraction through the trial lens after the fit is stable.

According to ODReference’s suggested RGP workflow, start from K readings and select an initial base curve, evaluate fit and fluorescein pattern on eye, obtain an over-refraction after the lens settles, then combine K readings, base curve, and over-refraction to estimate the ordered power that preserves the net optical result. Re-check vision and fit at follow-up.

The following five steps are that verify path:

  1. Confirm centration and fluorescein before chasing power.
  2. Let the GP settle, then measure spherical or spherocylindrical over-refraction.
  3. Vertex a high-power over-refraction the same way other meridians are vertexed.
  4. Combine residual error with the lens in use, including any SAM-FAP from a BC change.
  5. Order the next diagnostic power only after the geometry is stable.

Unstable rock or a dumbbell fluorescein pattern is a design problem first. According to ODReference, that pattern appears when spherical GP cannot finish the cylinder. Calculate residual error on the Over-Refraction Calculator for Contact Lens Parameters.

How is this guide different from GPLI and Art Optical calculators?

This guide is an independent explainer of starting RGP parameters, not a GPLI or Art Optical lens-design calculator.

GPLI, Art Optical, and ODReference each publish a GP calculator. This URL does not impersonate those tools.

The following table states what those calculators output versus what Contact Lens Calc covers here.

GPLI, Art Optical, and ODReference outputs versus this explainer
ToolWhat it outputsWhat this page does
GPLI Toric and Spherical Lens CalculatorBennett spherical nomogram + Quinn GP toric; Ks and refraction in; BCR, OAD, peripheral curves, tear-lens crosses outCite ≤2 D / >2 D and starting-point honesty. No PC/OAD engine
Art Optical Standard Lens DesignSingle, Bi Toric, Back Toric; optical zone; consultation when limits are exceededName as a lab design calculator. No OZ or dual-BC output
ODReference RGP Lens CalculatorTear lens, SAM/FAP, ordered power from Ks, BC, and over-refractionMatch those optics in prose. Stay manufacturer-agnostic
Contact Lens Calc /guides/rgpThis explainerConvert Ks and spectacle power into starting parameters in copy, then send verify and vertex to other URLs

Scleral and hybrid design systems are a different entity. This page does not farm those calculators. Mandell-Moore lives on GPLI as a separate bitoric tool and is not cloned here.

What should you convert on a soft-lens calculator instead?

Soft spectacle-to-contact conversion belongs on the Contact Lens Conversion Calculator, not on this RGP guide.

Vertex-compensated soft sphere, optional spherical equivalent, and toric soft starting cylinder are corneal-plane contact lens parameters without a GP tear lens. Ento Key notes that soft contact lenses are generally fitted 3.00 to 5.00 D flatter than K, which is a different relationship than GP on-K / steeper / flatter. Do not use this page to pick a soft 8.x mm base curve.

Convert a glasses Rx into starting soft contact lens parameters on the Contact Lens Conversion Calculator. Soft power, base curve, and diameter as a set are ordered contact lens parameters. Calculate vertex-compensated contact lens power when meridians are high. Fit a starting toric or multifocal contact lens only when that design is indicated. For GP, calculate starting base curve and power from keratometry, then verify power with over-refraction after the trial lens. Starting RGP contact lens parameters remain contact lens parameters at the corneal plane. They are still not a prescription.

Not a Rx

Not a prescription / on-eye next step

Next step for GP is trial lens, fluorescein, then over-refraction. Next step for a soft glasses Rx is the conversion calculator, then a licensed fitting.

Sources

Clinical claims on this page are attributed to the publications below.

How we calculateMedical disclaimer