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Thin Lens Equation — result sheet
Calculate image distance and magnification from a signed focal length and positive object distance.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Thin-lens relation 1/f = 1/do + 1/di, so di = f do/(do-f); magnification is -di/do. The singular do = f case and nonfinite outputs are rejected.
This calculator applies the signed thin-lens paraxial relation to a nonzero focal length and positive object distance. It returns image distance and magnification and does not provide camera or optical-design advice.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Signed focal length — m; Finite nonzero signed focal length in metres.; minimum -1000000; maximum 1000000
- Object distance — m; Finite positive distance from lens to object in metres; it cannot equal focal length.; minimum 1.0E-6; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Signed focal length | 0.1 |
| Object distance | 0.3 |
Image distance is 0.15 m and magnification is -0.5.
Assumptions and limits
- Focal length is a finite nonzero signed value in metres and object distance is a finite positive distance in metres.
- The thin-lens sign convention is represented by signed focal length, while the object distance is positive; the lens is ideal and paraxial with no thickness or aberration terms.
- The singular object-distance-equals-focal-length case and any nonfinite result are rejected. This is a thin-lens paraxial model only, not camera or optical-design advice.
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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