Lens Parameters
cm
Positive for converging, negative for diverging lenses
cm
Always positive for real objects
cm
Height of the object from optical axis
Calculation Results
Image Distance (v)
30.000 cm
Real, inverted image
Magnification (m)
-2.000
Image is inverted and 2× larger
Image Height (hᵢ)
-10.000 cm
Negative indicates inverted image
Lens Power
10.000 D
Diopters (inverse of focal length in meters)
| Parameter | Value | Unit | Description |
|---|---|---|---|
| Focal Length | 10.000 | cm | Distance from lens to focal point |
| Object Distance | 15.000 | cm | Distance from object to lens |
| Image Distance | 30.000 | cm | Distance from image to lens |
| Magnification | -2.000 | × | Image size relative to object |
| Image Type | Real, Inverted | - | Nature of the formed image |
Lens Diagram
Tool Features
- Real-time calculations
- Converging & diverging lenses
- Thin lens formula solver
- Magnification calculator
- Image nature detection
- Lens power in diopters
- Visual ray diagram
- Multiple calculation modes
- Adjustable precision
- Results export capability
Thin Lens Formula & How to Use This Tool
Thin Lens Formula
The thin lens equation relates the focal length (f) of a lens to the object distance (u) and image distance (v):
1/f = 1/v + 1/u
Where:
- f = focal length (positive for converging, negative for diverging)
- u = object distance (always positive for real objects)
- v = image distance (positive for real images, negative for virtual images)
Magnification Formula
m = hᵢ/hₒ = -v/u
Where:
- m = magnification (negative for inverted images)
- hₒ = object height
- hᵢ = image height
How to Use This Calculator
- Enter the focal length of your lens (positive for convex/converging, negative for concave/diverging).
- Input the object distance from the lens (always positive for real objects).
- Provide the object height to calculate image size and magnification.
- Select the lens type (converging or diverging) for appropriate sign conventions.
- Choose calculation mode if you want to solve for a specific parameter.
- Adjust precision for decimal places in results.
- Click "Calculate All" to compute all parameters in real-time.
Image Characteristics
- Real Image: Formed when light rays actually converge (v is positive)
- Virtual Image: Formed when light rays appear to diverge (v is negative)
- Magnification > 1: Image is larger than object
- Magnification < 1: Image is smaller than object
- Positive m: Image is upright
- Negative m: Image is inverted
Applications of Thin Lens Calculations
Thin lens calculations are essential in various fields including photography, microscopy, ophthalmology, telescope design, and vision correction. Understanding these principles helps in designing optical systems, correcting vision problems with lenses, and optimizing image formation in cameras and scientific instruments.
Tip: For diverging lenses (concave), the focal length is always negative. These lenses always produce virtual, upright, and diminished images regardless of object position.