Ophthalmic Simulation Tools – Website Content
Advanced Clinical Calculators & Simulation Tools
Welcome to my comprehensive suite of ophthalmic simulation tools, designed to enhance clinical decision-making and patient care in modern eye care practice. These evidence-based calculators provide precise predictions and visualizations essential for refractive surgery planning, optical analysis, and astigmatism management.
These interactive tools leverage advanced algorithms to deliver accurate, real-time calculations that support your clinical expertise. Whether you’re planning a corneal procedure, analyzing wavefront aberrations, expanding depth of focus or managing complex astigmatism cases, these simulators offer the computational precision you need for optimal patient outcomes.
Bilateral OD / OS Corneal Ablation Simulator
Simultaneous Right & Left Eye Planning for PRK, LASIK and KLEX/SMILE

This bilateral simulator predicts post-operative residual stromal thickness, percent tissue altered (PTA), ablation depth and tissue volumes for both eyes (OD and OS) on a single page. By integrating pre-operative pachymetry, refraction and corneal parameters with planned ablation profiles for the selected surgical technique — PRK / TransPRK, LASIK / Femto-LASIK, or KLEX / SMILE — the tool helps surgeons maintain safe residual bed thresholds and minimize the risk of post-surgical ectasia. A persistent Clinical Summary panel shows side-by-side the critical metrics demanded by the operating surgeon (RSB, PTA, central and stromal ablation depths, treated area, ablation and lamellar volumes, PVA 1D & 3D), color-coded against user-defined safety limits. Detailed results are organized into focused tabs (optical & refraction, ablation & residual, volumes & PVA, 3D surfaces, 3D ablation, profiles, K1/K2 cross-sections). A Standard mode uses average corneal parameters for rapid screening; a Custom mode accepts patient-specific anterior and posterior corneal radii and asphericities (R1, R2, Q1, Q2). Reports can be exported as PDF (formatted bilateral report with cross-section images filtered by the selected techniques), CSV, TXT, or copied to the clipboard for instant inclusion in the patient record.
Key Features:
- Simultaneous bilateral planning — OD and OS on the same page, with one-click symmetry copy between eyes
- Selectable surgical technique(s): PRK / TransPRK · LASIK / Femto-LASIK · KLEX / SMILE
- Always-visible Clinical Summary: RSB (PRK and LASIK/KLEX), PTA, central ablation, stromal depths, treated area, volumes
- Color-coded safety alerts against user-defined RSB threshold and 40% PTA limit
- Standard and Custom modes — Custom accepts anterior and posterior cornea (R1, R2, Q1, Q2)
- Tissue volume metrics: ablation volume, lamellar (flap/cap) volume, PVA 1D and 3D (stroma and cornea+epithelium references)
- 3D surfaces, ablation lenticule, K1/K2 meridian profiles and cross-section visualizations for each eye
- One-click export: PDF (with K1/K2 cross-sections per eye, filtered by selected techniques) · CSV · TXT · Clipboard
AIOLsci – Patient-Specific IOL Performance Predictor
Personalized IOL Selection Through Advanced Optical Modeling

AIOLsci revolutionizes IOL selection by providing objective, patient-specific predictions of visual outcomes. This sophisticated platform bridges laboratory physics and clinical decision-making by combining empirically measured IOL wavefronts with personalized aspheric corneal models (R, Q). Unlike standard approaches that rely on average eye models, AIOLsci computes through-focus MTF to quantify exactly how a specific IOL will perform in your patient’s unique optical system. The platform features a comprehensive library of IOL designs based on proprietary optical bench measurements, capturing real manufacturing performance including asphericity, refractive profiles, and diffractive elements. Manufacturer-neutral and compatible with any biometer or topographer, AIOLsci delivers results through intuitive contrast curves and depth-of-field estimates, enabling direct comparisons between monofocal, EDOF, and multifocal options. This ensures each IOL choice is optimally tailored to the individual patient’s corneal optics rather than statistical averages, ultimately improving surgical outcomes and patient satisfaction in modern cataract surgery.
Key Features:
- Patient-specific corneal modeling (R, Q)
- Through-focus MTF analysis at multiple frequencies
- Empirically measured IOL database
- Manufacturer-independent comparisons
- Depth of field predictions
- Device-agnostic compatibility
Toric Phakic IOL Optimal Rotation Calculator
Minimize Residual Astigmatism in Phakic Lens Implantation

This interactive tool determines and visualizes the optimal rotation angle of a toric phakic intraocular lens (e.g., ICL, IPCL, or similar) to minimize postoperative residual astigmatism. It performs full vector analysis of corneal and lenticular astigmatism (J0/J45), converts toric power between the phakic IOL plane and corneal plane using the Distance between the corneal and phakic IOL plane (ELP equivalent), and displays optimization curves alongside frontal and surgical views. Designed as a decision-support and teaching tool for refractive surgeons performing phakic IOL implantation.
Key Features:
- Optimization of θ for minimal cylinder and target SE
- Phakic IOL→Cornea toric conversion with ELP (Gatinel Q-ratio and vergence)
- Frontal and surgical views, profiles and J0/J45 vector plots
- Dedicated to ICL, IPCL and similar phakic toric lenses
Wavefront Aberration to Retinal Image Simulator
Visualizing Visual Quality

Transform complex wavefront data into meaningful clinical insights with our retinal image quality predictor. This sophisticated simulator converts Zernike polynomial coefficients and higher-order aberrations into visual representations of predicted retinal image quality. By modeling how optical aberrations affect point spread function and modulation transfer function, clinicians can better communicate expected visual outcomes to patients and optimize treatment strategies for aberration-correcting procedures.
Key Features:
- Zernike polynomial analysis up to 6th order
- PSF and MTF visualization
- Comparative pre/post treatment modeling
- Patient-specific pupil size adaptation
Zernike Pupil Transform Analyzer
Quantifying the Impact of Pupil Size and Centration on the Ocular Wavefront

Pupil diameter and centration are not fixed parameters — they vary with illumination, accommodation, and measurement conditions. Yet their impact on Zernike coefficients, objective refraction, and retinal image quality is often underestimated in clinical practice. This tool computes the analytical transformation of Zernike wavefront coefficients (OSA/ANSI standard, up to 8th radial order) when the analysis pupil changes in diameter and/or centration. Starting from an arbitrary set of coefficients, it derives the exact re-expanded coefficients for the new pupil geometry using closed-form polynomial re-expansion — no numerical interpolation or approximation. The tool also computes objective refraction (sphere, cylinder, axis) before and after transformation, and simulates retinal image quality through PSF convolution (monochromatic or polychromatic) on a letter optotype, allowing direct visualization of the optical consequences of pupil changes. Whether you are investigating how mesopic-to-photopic pupil constriction alters higher-order aberrations, assessing the effect of a decentered optical zone after refractive surgery, or teaching wavefront optics, this tool provides the analytical framework to explore these effects in real time.
Key Features:
- Exact analytical Zernike coefficient transformation (up to 8th radial order)
- Pupil diameter reduction and arbitrary decentration (polar or Cartesian)
- Objective refraction derivation (sphere, cylinder, axis) for initial and transformed wavefronts
- Wavefront visualization with RMS comparison (initial vs. transformed)
- Retinal image simulation via PSF convolution (monochromatic and polychromatic)
- Bilingual interface (English/French), fully standalone, no server required
Toric IOL Optimal Rotation Calculator
Minimize Residual Astigmatism with Precise Rotation

This interactive tool determines and visualizes the optimal rotation angle of a toric intraocular lens (IOL) to minimize postoperative residual astigmatism. It performs full vector analysis (J0/J45), converts toric power between the IOL plane and corneal plane using the Effective Lens Position (ELP), and displays optimization curves alongside frontal and surgical views. Designed as a decision-support and teaching tool for cataract surgeons.
Key Features:
- Optimization of θ for minimal cylinder and target SE
- IOL→Cornea toric conversion with ELP (Gatinel Q-ratio and vergence)
- Frontal and surgical views, profiles and J0/J45 vector plots
IOL Exchange Power Calculator
Non-Empirical Planning for Refractive Surprise Management

This tool estimates the replacement IOL power following a refractive surprise in pseudophakic eyes. It uses a non-empirical vergence-based approach, completely independent of traditional IOL calculation formulas, relying solely on the in-situ IOL power, manifest refraction, keratometry (K1/K2), and cornea-IOL distance. For toric IOLs, it performs full vector analysis with posterior cornea compensation (PCA) and surgically induced astigmatism (SIA) adjustment, and computes an optimal rotation angle as an alternative to exchange. The tool includes the Q-ratio method (Gatinel), sensitivity analysis, graphical visualization, and PDF export for clinical documentation.
Key Features:
- Non-empirical vergence-based calculation, independent of IOL formulas
- Full toric IOL support with vector analysis (J0/J45)
- Posterior cornea compensation (Koch, Abulafia-Koch, Goggin, LaHood)
- Optimal rotation vs. exchange comparison
- Q-ratio method (Gatinel) and sensitivity analysis
- Multilingual interface and PDF export
PEARL-DGS IOL Power Calculator
Open-Source AI-Based Formula for Complex Cases

The PEARL-DGS (Postoperative spherical Equivalent prediction using ARtificial Intelligence and Linear algorithms) formula represents a breakthrough in IOL power calculation, combining thick lens equations with machine learning models to predict posterior corneal radius and the theoretical internal lens position (TILP). Developed by Debellemanière, Gatinel, Saad and published as open-source software, this advanced calculator features three specialized platforms. The « Regular Eyes » section handles standard cataract cases with customizable options for keratometric index, biometer type, and IOL model specifications, including support for meniscus designs. The « Complex Eyes » platform addresses challenging scenarios including post-refractive surgery eyes (myopic/hyperopic LASIK/PRK), radial keratotomy, scarred corneas, and ICL-implanted eyes, with automatic adjustments to lens position predictors and corneal power calculations. The « Second Eyes » section leverages first-eye surgical data to enhance prediction accuracy through back-calculation algorithms. Optional parameters including LT, CCT, and WTW measurements further refine predictions when available, making PEARL-DGS a comprehensive solution for achieving optimal refractive outcomes across the full spectrum of clinical presentations.
Key Features:
- Machine learning-based TILP prediction
- Post-refractive surgery algorithms
- Radial keratotomy and scarred cornea options
- ICL adjustment capabilities
- Second-eye optimization algorithms
- Open-source methodology
Universal IOL Formula Analyzer & Optimizer
Publication-Grade Prediction Error Statistics & Lens Constant Optimization for Any Formula

Evaluating how well an IOL power formula performs on your own patient population — and fine-tuning its lens constant accordingly — is one of the most impactful steps a cataract surgeon can take to improve refractive outcomes. Yet it remains a tedious, spreadsheet-heavy process that many practitioners simply skip. This tool changes that. Upload any dataset of surgical outcomes (CSV or Excel), and the analyzer automatically detects prediction error, keratometry, IOL power, and axial length columns — no manual mapping required — then delivers a comprehensive statistical workup in seconds: descriptive statistics, normality testing (Jarque-Bera, Anderson-Darling, Kolmogorov-Smirnov), distribution analysis, threshold tables, and publication-ready charts including histograms with normal overlay, box plots, violin plots, cumulative distribution functions, and scatter plots with linear regression, Pearson correlation coefficient (r), and R² against any biometric parameter.
The core optimization engine is based on the published sensitivity factor method (Gatinel D et al., Am J Ophthalmol 2023;253:65-73; Transl Vis Sci Technol 2024;13(6):2). The per-eye sensitivity factor F = 0.0006(P² + 2KP) is computed individually and then averaged — correctly accounting for the nonlinear relationship between IOL power, keratometry, and refractive sensitivity. Three optimization targets are derived simultaneously: ME=0 (zero mean bias), SD-min (tightest prediction spread), and RMS-min (lowest root mean square error). This approach is universal: it works with every IOL calculation formula that relies on a positional constant — A-constant, surgeon factor, predicted ACD, or a0 — regardless of formula generation or brand. All data processing runs entirely in the browser; patient data never leaves your computer.
Key Features:
- Universal lens constant optimization (A-constant, SF, pACD, a0) for any IOL power formula
- Smart column auto-detection — works with any spreadsheet layout
- Three simultaneous optimization targets: ME=0, SD-min, RMS-min
- Scatter regression against IOL power, axial length, keratometry, ACD, or the sensitivity factor F
- Subgroup analysis with per-subgroup optimization comparison (IOL model, surgeon, formula)
- Cumulative numeric filtering to isolate specific biometric populations
- Normality tests, threshold tables, CDF, violin plots, and one-click PNG export
- Seven languages, dark mode, responsive mobile design — no installation, no data upload
Combined Astigmatism Calculator & Visualizer
Mastering Complex Cylindrical Corrections

Navigate the complexities of astigmatism management with our comprehensive vector analysis tool. This calculator combines multiple astigmatic components—corneal, lenticular, and residual—providing both numerical and graphical representations of resultant cylinder power and axis. Ideal for toric IOL planning, crossed-cylinder calculations, and understanding obliquely crossed cylinders, this tool simplifies complex optical calculations while maintaining mathematical precision.
Key Features:
- Vector addition and subtraction
- Double-angle plot visualization
- 2D and 3D vectorial visualization
- Sinusoidal modeling visualization
Wavefront to Radial Vergence Power Map Converter
From Microns to Diopters – Clinical Translation

Bridge the gap between wavefront analysis and clinical refraction with this powerful conversion tool. Transform Zernike polynomial coefficients expressed in microns into clinically interpretable refractive power distribution maps in diopters. Unlike traditional wavefront displays showing optical path differences, this simulator generates radial vergence maps that directly reveal myopic and hyperopic zones across the pupil aperture. This intuitive visualization provides immediate clinical relevance, allowing practitioners to correlate aberrometry findings with manifest refraction measurements and better understand the refractive impact of higher-order aberrations on visual performance.
Key Features:
- Zernike-to-diopter conversion algorithms
- Radial vergence power mapping
- Myopic/hyperopic zone identification
- Direct correlation with clinical refraction
Corneal Asphericity Impact Analyzer
Exploring Q-factor Effects on Optical Performance

Dive deep into the complex relationship between corneal asphericity (Q-factor) and optical performance with this comprehensive simulation tool. This advanced analyzer demonstrates how variations in corneal asphericity directly influence spherical aberration (Z4,0), vergence distribution patterns, and the induction of useful depth of focus. Through interactive 3D visualizations and real-time calculations, clinicians can explore how changing Q-values affect wavefront aberrations, visualize the resulting intrapupillary power distribution (induced multifocality), and quantify the impact on through-focus visual performance. Essential for presbyopia-correcting procedures and aspheric IOL selection, this tool bridges theoretical optics with clinical applications by illustrating the delicate balance between corneal shape and visual quality.
Key Features:
- Interactive Q-factor manipulation with real-time aberration analysis
- Radial and Laplacian vergence mapping for multifocality assessment
- Through-focus MTF analysis with depth of focus optimization
- PSF visualization and convolved letter simulation
- Spectacle and corneal plane conversion capabilities
- Integration of native ocular spherical aberration modeling
Zernike Synthesizer — Wavefront Sonification
What If You Could Hear the Wavefront?

This experimental instrument transforms Zernike polynomial coefficients into sound, offering a genuinely new point of view — or rather, point of hearing — on wavefront optics. Each of the 28 modes (up to 6th radial order) drives an audio oscillator whose waveform is derived directly from the phase map evaluated over the unit pupil. Trigger spherical aberration and you get a deep, organ-like drone; stack some trefoil on top and suddenly you’re in a 1970s sci-fi soundtrack. Four synthesis engines are available: additive (harmonic spectrum from azimuthal decomposition), waveshaper (nonlinear distortion shaped by the wavefront), FM (frequency modulation with Zernike-driven modulators), and spiral (radial-azimuthal scanning of the pupil disk). Stereo separation routes sin-symmetric modes (m < 0) to the left channel and cos-symmetric modes (m > 0) to the right. Patterns that look similar on a phase map can sound completely different, while modes that seem visually unrelated reveal unexpected harmonic relationships when heard — it’s not diagnosis, it’s perception through a different lens.
Key Features:
- 28 Zernike modes (up to 6th order) as real-time audio oscillators
- 4 synthesis engines: additive, waveshaper, FM, and spiral pupil scanning
- Zernike pyramid with live phase map thumbnails and 28-channel mixer
- 8 clinical presets (keratoconus, astigmatism, spherical aberration…)
- 8 animated sequencer patterns sweeping through the Zernike pyramid
- 4-voice polyphony with 15 built-in melodies (Bach, Beethoven, Debussy…)
- Audio and video recording with automatic download
- Bilingual interface (English/French), Schroeder reverb, responsive design
Elevate Your Clinical Practice
Experience the precision and efficiency of professional-grade ophthalmic calculators. Each tool is continuously updated to reflect the latest clinical research and surgical techniques.
Click on any image to access each simulator directly.
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