Spherical Aberration Calculator

Enter the ray height and radius of curvature to approximate the longitudinal spherical aberration.

How to use

  1. Enter your values in the fields above.
  2. Press Calculate to see your result instantly.
  3. 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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