Geometric Optics Calculators
Explore light-ray interactions in lenses and mirrors through intuitive, physics-based calculators.
Lens Equation Calculator
Results
Enter at least two values to calculate the third.
Formula
1/f = 1/do + 1/di
Where:
- f = focal length
- do = object distance
- di = image distance
Magnification Calculator
Results
Enter the image and object distances to calculate magnification.
Formula
M = -di / do
Where:
- M = magnification
- di = image distance
- do = object distance
Interpretation:
- |M| > 1: Image is larger than object
- |M| < 1: Image is smaller than object
- M > 0: Image is upright
- M < 0: Image is inverted
Mirror Equation Calculator
Results
Enter at least two values to calculate the third.
Formula
1/f = 1/do + 1/di
Where:
- f = focal length
- do = object distance
- di = image distance
Sign Conventions:
- Concave mirror: positive focal length
- Convex mirror: negative focal length
- Real image: positive di (in front of mirror)
- Virtual image: negative di (behind mirror)
Radius of Curvature Calculator
Results
Enter the focal length to calculate radius of curvature.
Formula
R = 2f
Where:
- R = radius of curvature
- f = focal length
Applicable to:
- Spherical mirrors: R = 2f exactly
- Thin lenses: R ≈ 2f (approximate relationship)