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Spherical Mirror Equation Calculator — result sheet
Find image distance, magnification, and mirror curvature from focal length and object distance using the signed mirror convention.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: 1/f = 1/di + 1/do; image distance di = fdo/(do−f); magnification m = −di/do; spherical radius R = 2f.
The signs carry optical meaning: a negative image distance indicates a virtual image, while a negative magnification indicates inversion under the selected convention.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Focal length — length units; minimum -1000000; maximum 1000000
- Object distance — length units; minimum -1000000; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Focal length | 0.2 |
| Object distance | 0.5 |
Image distance = 0.3333 length units; magnification = −0.6667; radius = 0.4 length units.
Assumptions and limits
- The mirror is treated as thin, spherical, and paraxial.
- Focal length and object distance use the same signed length convention.
- Aberrations, finite aperture, surface losses, and ray tracing are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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