Home Back

Radiant Intensity Calculator

Radiant Intensity Formula:

\[ I = \frac{P}{\Omega} \]

W
sr

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Radiant Intensity?

Radiant intensity is a measure of the power emitted by a source in a particular direction per unit solid angle. It quantifies how much radiant power is propagating in a given direction and is measured in watts per steradian (W/sr).

2. How Does the Calculator Work?

The calculator uses the radiant intensity formula:

\[ I = \frac{P}{\Omega} \]

Where:

Explanation: The formula calculates the radiant intensity by dividing the total radiant power by the solid angle through which the power is radiated.

3. Importance of Radiant Intensity Calculation

Details: Radiant intensity is crucial in optics, photometry, and radiometry for characterizing light sources, designing optical systems, and calculating illumination levels in various applications.

4. Using the Calculator

Tips: Enter power in watts and solid angle in steradians. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between radiant intensity and irradiance?
A: Radiant intensity measures power per unit solid angle (directional property), while irradiance measures power per unit area incident on a surface.

Q2: What are typical units for radiant intensity?
A: The SI unit for radiant intensity is watts per steradian (W/sr).

Q3: How is solid angle measured?
A: Solid angle is measured in steradians (sr), which is the 3D equivalent of radians. A full sphere has 4π steradians.

Q4: When is radiant intensity used in practical applications?
A: Radiant intensity is used in lighting design, laser characterization, satellite communications, and any application involving directional radiation patterns.

Q5: Can this calculator be used for non-point sources?
A: The formula assumes a point source. For extended sources, the concept of radiance (W/sr/m²) is more appropriate.

Radiant Intensity Calculator© - All Rights Reserved 2025