Focal Length Calculator

Calculate focal length from object and image distances (1/f = 1/dₒ + 1/dᵢ), from diopters (f = 1/D), or camera field of view from sensor size. Includes 35mm equivalent focal length and hyperfocal distance.

Focal Length f (cm)
Lens Power P (diopters)
Lens/Mirror Type
Extended More scenarios, charts & detailed breakdown
Focal Length f (cm)
Power P (D)
Professional Full parameters & maximum detail

Field of View

Horizontal FOV (degrees)
Vertical FOV (degrees)

Camera System

35mm Equivalent Focal Length (mm)
Hyperfocal Distance (m)

How to Use This Calculator

  1. Enter object distance and image distance to find focal length via lens equation.
  2. Or use From Diopters tab — enter lens power in diopters.
  3. Use Camera FOV tab to find field of view for a given focal length and sensor size.
  4. Professional mode adds 35mm equivalent and hyperfocal distance.

Formula

From distances: 1/f = 1/dₒ + 1/dᵢ

From diopters: f(m) = 1/D

Camera FOV: 2 × arctan(sensor/(2f))

Hyperfocal: H = f²/(N × c)

Example

Example: dₒ = 30 cm, dᵢ = 15 cm. 1/f = 1/30 + 1/15 = 3/30. f = 10 cm. Power = 100/10 = +10 D.

Frequently Asked Questions

  • 1/f = 1/dₒ + 1/dᵢ, so f = (dₒ × dᵢ)/(dₒ + dᵢ). Both distances are positive for a real image situation. This is the thin lens / mirror equation rearranged to solve for f.
  • f (meters) = 1/D. So +2 diopters → f = 0.5 m = 50 cm. +10 D → f = 0.1 m = 10 cm. Negative diopters give a negative focal length (diverging lens).
  • FOV (horizontal) = 2 × arctan(sensor_width / (2 × f)). A 50 mm lens on a 36 mm wide sensor gives H-FOV ≈ 39.6°. Wider lenses give larger FOV; telephoto lenses give smaller FOV.
  • Focal length × crop factor. APS-C crop factor ≈ 1.5–1.6, Micro 4/3 ≈ 2.0. So a 25 mm lens on a Micro 4/3 sensor ≈ 50 mm equivalent on full-frame. Allows comparison between sensor sizes.
  • H = f²/(N × c), where f = focal length, N = aperture f-number, c = circle of confusion (≈ 0.029 mm for full frame). Focusing at H puts everything from H/2 to infinity acceptably sharp — maximum depth of field.

Related Calculators

Sources & References (5)
  1. B&H Photo — Understanding Focal Length — B&H Photo
  2. Thin Lens Equation — HyperPhysics — Georgia State University
  3. OpenStax University Physics Vol 3 — Lenses — OpenStax
  4. Photography Life — Depth of Field Guide — Photography Life
  5. DPReview — Focal Length and Angle of View — DPReview