Agaaz Ophthalmics · Clinical Calculator
Toric IOL
Power Calculator
Vector analysis · PCA correction · Holladay vertex formula · All Agaaz IOL platforms. Free, no login.
Vector Analysis
PCA Correction
Holladay Vertex
PDF Report
Real-time Calc
Interactive 3D Toric IOL · Drag to rotate
Eye Selection
OD
Keratometry
D
°
D
°
Surgically Induced Astigmatism
Quick Presets
D
°
Posterior Corneal Astigmatism (PCA) — ±0.30D Baylor/Koch offset. Recommended for all cases.
Biometry
mm
mm
D
Agaaz IOL Platform
OP-FOLD AS
Hydrophilic
OP-VIEW AS
Hydrophobic
X-VIZ EDOF
EDOF
i-Nera 1
Hydrophilic
OP-LENS
PMMA
Custom
A-Const
D
Convention + Notes
WTR 60–120°
ATR 0–30° / 150–180°
OBL Oblique
Axis Diagram
OD
—
Flat K1
—
Steep K2
—
IOL Axis
Results
Fill values → Calculate
🔬
Enter keratometry and biometry,
then press Calculate Toric Power.
then press Calculate Toric Power.
Toric IOL Misalignment Impact Reference
Doctor's quick reference — power loss vs. axis error
| Misalignment | Power Loss | Severity |
|---|---|---|
| 5° | 17% | Minimal |
| 10° | 34% | Moderate |
| 15° | 50% | Significant |
| 20° | 64% | Severe |
| 30° | 87% | Near-total loss |
| 45° | 100% | Full reversal |
Formula: Residual toric effect = sin(2θ) × IOL cylinder power
Even 10° misalignment eliminates one-third of the cylinder correction. Intraoperative axis marking and alignment are therefore as important as the power calculation itself.
Clinical tip: Use a MICS slit-lamp marker or digital intraoperative guidance (e.g. Callisto/Verion) to confirm axis alignment within ±5° for best outcomes.
Even 10° misalignment eliminates one-third of the cylinder correction. Intraoperative axis marking and alignment are therefore as important as the power calculation itself.
Clinical tip: Use a MICS slit-lamp marker or digital intraoperative guidance (e.g. Callisto/Verion) to confirm axis alignment within ±5° for best outcomes.
Power loss = sin(2θ) × 100%
θ = degrees of misalignment
At 45° the toric cylinder adds induced astigmatism perpendicular to intent.
θ = degrees of misalignment
At 45° the toric cylinder adds induced astigmatism perpendicular to intent.
Astigmatism Classification
With-the-Rule (WTR) 60–120°Steep meridian vertical. More common in youth. PCA opposes → subtract 0.30D.
Against-the-Rule (ATR) 0–30° / 150–180°Steep meridian horizontal. More common after 60s. PCA compounds → add 0.30D.
Oblique Astigmatism 30–60° / 120–150°Steep meridian diagonal. No PCA adjustment applied.
Calculation Method
Vector Analysis (J0/J45)Double-angle power vectors used for all arithmetic. Avoids 180° axis discontinuity errors.
Holladay Vertex CorrectionELP = ACD + 0.3 mm. Vertex factor vF = 1 / (1 − ELP × net.mag). Converts corneal to IOL plane cylinder.
PCA (Baylor/Koch)Systematic offset for posterior corneal contribution. Not measured by standard keratometry. −0.30D WTR, +0.30D ATR.
Cross-checkAlways verify with Barrett Toric Calculator (ASCRS.org) before finalising orders.
SIA Reference Values
Temporal 2.2 mm CCI: 0.10 DMost studies. Naeser / Tejedor centroid SIA.
Temporal 2.4–2.75 mm CCI: 0.10–0.20 DSlightly larger; use personal SIA data if available.
Scleral tunnel / superior: 0.20–0.50 DHigher and more variable. Surgeon-specific.
Best practice: Calculate your personalised SIA from last 20+ cases using vector analysis (e.g. SIA calculator at doctor-hill.com).
This calculator provides surgical planning guidance only. All clinical decisions must be made by the responsible surgeon based on full patient assessment. Cross-reference with the Barrett Toric Calculator (ASCRS.org). ·
Agaaz IOL Portfolio ·
info@agaaz.life
Agaaz Ophthalmics · Clinical Calculator
Toric IOL
Power Calculator
Vector analysis · PCA correction · Holladay vertex formula · All Agaaz IOL platforms. Free, no login.
Vector Analysis
PCA Correction
Holladay Vertex
PDF Report
Real-time Calc
Interactive 3D Toric IOL · Drag to rotate
Eye Selection
OD
Keratometry
D
°
D
°
Surgically Induced Astigmatism
Quick Presets
D
°
Posterior Corneal Astigmatism (PCA) — ±0.30D Baylor/Koch offset. Recommended for all cases.
Biometry
mm
mm
D
Agaaz IOL Platform
OP-FOLD AS
Hydrophilic
OP-VIEW AS
Hydrophobic
X-VIZ EDOF
EDOF
i-Nera 1
Hydrophilic
OP-LENS
PMMA
Custom
A-Const
D
Convention + Notes
WTR 60–120°
ATR 0–30° / 150–180°
OBL Oblique
Axis Diagram
OD
—
Flat K1
—
Steep K2
—
IOL Axis
Results
Fill values → Calculate
🔬
Enter keratometry and biometry,
then press Calculate Toric Power.
then press Calculate Toric Power.
Toric IOL Misalignment Impact Reference
Doctor's quick reference — power loss vs. axis error
| Misalignment | Power Loss | Severity |
|---|---|---|
| 5° | 17% | Minimal |
| 10° | 34% | Moderate |
| 15° | 50% | Significant |
| 20° | 64% | Severe |
| 30° | 87% | Near-total loss |
| 45° | 100% | Full reversal |
Formula: Residual toric effect = sin(2θ) × IOL cylinder power
Even 10° misalignment eliminates one-third of the cylinder correction. Intraoperative axis marking and alignment are therefore as important as the power calculation itself.
Clinical tip: Use a MICS slit-lamp marker or digital intraoperative guidance (e.g. Callisto/Verion) to confirm axis alignment within ±5° for best outcomes.
Even 10° misalignment eliminates one-third of the cylinder correction. Intraoperative axis marking and alignment are therefore as important as the power calculation itself.
Clinical tip: Use a MICS slit-lamp marker or digital intraoperative guidance (e.g. Callisto/Verion) to confirm axis alignment within ±5° for best outcomes.
Power loss = sin(2θ) × 100%
θ = degrees of misalignment
At 45° the toric cylinder adds induced astigmatism perpendicular to intent.
θ = degrees of misalignment
At 45° the toric cylinder adds induced astigmatism perpendicular to intent.
Astigmatism Classification
With-the-Rule (WTR) 60–120°Steep meridian vertical. More common in youth. PCA opposes → subtract 0.30D.
Against-the-Rule (ATR) 0–30° / 150–180°Steep meridian horizontal. More common after 60s. PCA compounds → add 0.30D.
Oblique Astigmatism 30–60° / 120–150°Steep meridian diagonal. No PCA adjustment applied.
Calculation Method
Vector Analysis (J0/J45)Double-angle power vectors used for all arithmetic. Avoids 180° axis discontinuity errors.
Holladay Vertex CorrectionELP = ACD + 0.3 mm. Vertex factor vF = 1 / (1 − ELP × net.mag). Converts corneal to IOL plane cylinder.
PCA (Baylor/Koch)Systematic offset for posterior corneal contribution. Not measured by standard keratometry. −0.30D WTR, +0.30D ATR.
Cross-checkAlways verify with Barrett Toric Calculator (ASCRS.org) before finalising orders.
SIA Reference Values
Temporal 2.2 mm CCI: 0.10 DMost studies. Naeser / Tejedor centroid SIA.
Temporal 2.4–2.75 mm CCI: 0.10–0.20 DSlightly larger; use personal SIA data if available.
Scleral tunnel / superior: 0.20–0.50 DHigher and more variable. Surgeon-specific.
Best practice: Calculate your personalised SIA from last 20+ cases using vector analysis (e.g. SIA calculator at doctor-hill.com).
This calculator provides surgical planning guidance only. All clinical decisions must be made by the responsible surgeon based on full patient assessment. Cross-reference with the Barrett Toric Calculator (ASCRS.org). ·
Agaaz IOL Portfolio ·
info@agaaz.life
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