Poder da Lente (dioptrias)
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
P = 1/f
About this calculator
The Lens Power (diopters) Calculator is a practical tool that converts a lens's focal length (in meters) to its dioptric power, expressed in diopters (m⁻¹). Lens power measures the ability to converge or diverge light, essential in ophthalmic optics, lens design, and optical instruments. The formula used is P = 1/f, where f is the focal length in meters.
To use the calculator, enter the focal length value in the appropriate field and click calculate. The result is displayed in diopters with two decimal places. Remember that the focal length must be provided in meters; if you have the value in centimeters, convert by dividing by 100. The tool also accepts negative values for diverging lenses (e.g., concave lenses), resulting in negative power.
This calculator is useful in various scenarios: ophthalmologists and optometrists use it to determine eyeglass prescriptions; physics and optical engineering students apply it in exercises and projects; and optical lab professionals use it to verify lens specifications. Additionally, it serves as an educational tool to understand the relationship between focal length and refractive power.
Important precautions: ensure you use the correct unit (meters) for focal length. A common mistake is entering the distance in centimeters without conversion, leading to an incorrect power (100 times larger). Also note that lens power is the inverse of focal length, not the opposite. For compound lenses or optical systems, the total power is not simply the sum of individual powers unless the lenses are very close together.
Frequently asked questions
What does a positive diopter mean?
Positive diopters indicate converging lenses, which focus light to a point. They are used to correct hyperopia and presbyopia.
Can I use the calculator for focal length in centimeters?
Yes, but you must convert to meters by dividing by 100 before entering. For example, 50 cm = 0.5 m.
What is the difference between lens power and vergence?
In practice, they are synonyms: both refer to P = 1/f. Vergence is more common in optometry.
How do I calculate the power of a negative lens?
Enter the focal length with a negative sign (e.g., -0.25 m for a diverging lens). The result will be negative, indicating diverging power.
Why is lens power important in eyeglasses?
Eyeglass prescriptions are given in diopters. Knowing the correct power is essential to correct vision problems like myopia and hyperopia.