EOS DYNAMICS || EOS Learning Center || Optical Calculators

EOS Dynamics Engineering Tools

Optical Calculators

Field of View & Sensor Coverage Calculator

Calculate sensor size, required image circle and field of view from detector resolution, pixel pitch and focal length.

Horizontal Pixels Vertical Pixels Pixel Pitch (µm) Focal Length (mm) Lens Image Circle Diameter (mm) - Optional

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Need help with sensor diagonal, image circle, crop or distortion? Read the tutorial.

IFOV Calculator

Calculate instantaneous field of view from pixel pitch and focal length.

Pixel Pitch (µm) Focal Length (mm)

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GSD Calculator

Estimate ground sample distance from range, pixel pitch and focal length.

Range / Distance (m) Pixel Pitch (µm) Focal Length (mm)

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Nyquist Frequency Calculator

Calculate detector Nyquist and half-Nyquist spatial frequencies from pixel pitch. Use these frequencies to read MTF values from Zemax, Code V or measured system MTF graphs.

Pixel Pitch (µm)

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MTF Performance Acceptance Evaluator

Enter optical design MTF values from Zemax / Code V and measured lens-detector system MTF values from a collimator or equivalent test setup. The tool compares them with diffraction-limited reference and practical safe performance regions.

How to use this evaluator

This tool has two independent use cases. The first one is for optical design review, where the user enters MTF values taken from Zemax, Code V or OpticStudio after design and tolerance analysis. The second one is for final measured system review, where the user enters MTF values measured from the assembled lens-detector system using a collimator or equivalent optical test setup.

The measured system section is optional. If the final product has not yet been assembled or tested, only the lens design MTF section can be used. If measured system MTF is available, it should be evaluated separately because it already includes the real effects of lens, detector sampling, focus, alignment, electronics, image processing and assembly.

Reference Parameters

Wavelength (µm) F-number Pixel Pitch (µm)

The tool automatically calculates 0.5 × Nyquist, Nyquist frequency, diffraction cutoff and diffraction-limited MTF reference. Acceptance bands are engineering screening guidelines, not a substitute for project-specific optical requirements.

Lens Design MTF

Worst Lens MTF at 0.5 × Nyquist (%) Worst Lens MTF at Nyquist (%)

Use this section during optical design review. Enter the worst relevant MTF values from Zemax, Code V or OpticStudio at 0.5 × Nyquist and Nyquist frequency. The values should preferably represent the conservative case after tolerance analysis, including the weakest field point and the lower sagittal/tangential curve. This section does not replace a full optical design review; it provides a detector-matched MTF screening.

Measured Final System MTF

Measured Lens + Detector MTF at 0.5 × Nyquist (%) Measured Lens + Detector MTF at Nyquist (%)

Optional. Use this section only after the lens, detector and imaging chain are assembled and the final system MTF is measured with a collimator, slanted-edge target, bar target or equivalent test setup. For formal OK/NOK acceptance, measured system MTF should be compared with the product specification. If no formal requirement is available, this tool provides only a practical engineering screening result.

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Multi-Element Optical Transmission Budget Calculator

Build an optical train by adding lenses, windows, filters or protective elements one by one. The calculator estimates total system transmission from surface losses, coating transmission, bulk material absorption and element thickness.

Important:

This is a multi-element engineering budget tool. It does not design coatings automatically. Material presets only provide starting values. For final design, use measured coating data, material certificates, wavelength-dependent n/k data, angle of incidence, polarization and temperature-dependent transmission curves.

Design Wavelength (µm)

Prevent calculation outside material wavelength range

Atmosphere / Other System Transmission (%)

Quick Action

#	Element Name	Material	n	α cm⁻¹	Thickness mm	Surfaces	Surface Mode	Coating / Surface %	Action

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Advanced Achromatic Doublet & Secondary Spectrum Calculator

Evaluate a two-element optical doublet using thick-lens power, air spacing, glass dispersion, F/C chromatic focus shift, secondary spectrum tendency and approximate chromatic blur.

Engineering screening tool:

This calculator includes radii, thickness, air gap and wavelength-dependent refractive indices. It is more realistic than a simple Abbe-number check, but it is still a paraxial screening tool. It does not replace full ray tracing, aberration balancing, MTF analysis or tolerance simulation.

System Targets

Target Effective Focal Length at d-line (mm) Clear Aperture Diameter (mm) - Optional Allowed Axial Color Shift (µm)

Use standard sign convention: light travels left to right. Radius is positive if the center of curvature is to the right of the surface. For plano surface, write "inf".

Lens 1 / Positive Element

R1 Front Radius (mm) R2 Back Radius (mm) Center Thickness t1 (mm) nC / Red C-line Index nd / Yellow d-line Index nF / Blue F-line Index Relative Partial Dispersion P_g,F - Optional

Lens 2 / Negative Element

Air Gap Between Lenses (mm) R3 Front Radius (mm) R4 Back Radius (mm) Center Thickness t2 (mm) nC / Red C-line Index nd / Yellow d-line Index nF / Blue F-line Index Relative Partial Dispersion P_g,F - Optional

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Conic Surface Validity & Sag Condition Calculator

Check whether a lens surface with a given radius of curvature, conic constant and clear aperture satisfies the real conic sag condition over the selected optical aperture.

Engineering screening tool:

This calculator checks the mathematical validity of the standard rotationally symmetric conic sag equation. It does not evaluate manufacturing feasibility, slope limits, interferometric testability, MTF or full optical performance.

Surface Prescription

Radius of Curvature R (mm) Conic Constant K Clear Aperture Diameter (mm)

Optional Review Limits

Maximum Preferred Sag (mm) - Optional Maximum Preferred Edge Slope (deg) - Optional

Optional sag and slope limits do not define conic validity. They only help screen manufacturability and mechanical integration risk.

Interpretation

K = 0 sphere
-1 < K < 0 ellipse / prolate ellipsoid
K = -1 paraboloid
K < -1 hyperboloid
K > 0 oblate ellipsoid-type conic

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