Spherical Aberration Calculator
Enter the ray height and radius of curvature to approximate the longitudinal spherical aberration.
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How to use
- Enter your values in the fields above.
- Press Calculate to see your result instantly.
- Use the Share button to copy a link to your result.
About this calculator
Spherical aberration is an optical defect where light rays striking a spherical mirror or lens far from its center focus at a different point than rays near the center — the mirror simply can't bring every ray to one perfect focus. Longitudinal spherical aberration (LSA) measures how far along the optical axis that focus point shifts, approximated for a spherical mirror as LSA ≈ h² / (2·R), where h is the height of the ray from the axis and R is the mirror's radius of curvature.
This approximation is a standard tool in optics and telescope design: it's the reason amateur and professional telescope makers often favor parabolic mirrors over cheaper spherical ones for large apertures, and it's used to estimate image blur before deciding whether a design needs a corrector lens or a different mirror shape.
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