Luminance Converter

Convert between candela per square meter, foot-lambert, stilb, and other luminance units

About Luminance Measurement

What is Luminance?

Luminance is a photometric measure that quantifies the amount of light emitted, transmitted, or reflected from a surface per unit area in a given direction. It represents the brightness of a surface as perceived by the human eye and is fundamental to understanding how light interacts with materials and surfaces.

The mathematical definition of luminance is:

L = dI / (dA × cos θ)

Where: L = Luminance, dI = Luminous intensity, dA = Area, θ = Angle between surface normal and viewing direction

Common Luminance Units and Conversions

UnitSymbolDefinitionConversion to cd/m²
Candela per square metercd/m²SI base unit1
NitntDisplay industry standard1
Foot-lambertfLUS cinema standard3.426
LambertLCGS unit3,183
StilbsbCGS unit10,000
ApostilbasbNon-SI unit0.3183

Luminance Types and Real-World Applications

Luminance TypeTypical RangeApplicationsExamples
Display Luminance100-1,000 cd/m²Screens, monitors, TVsiPhone display: 800 cd/m², HDR TV: 1,000+ cd/m²
Ambient Lighting10-500 cd/m²Indoor environmentsOffice lighting: 300 cd/m², home: 100 cd/m²
Automotive Lighting1,000-20,000 cd/m²Headlights, taillightsLED headlight: 15,000 cd/m², brake light: 5,000 cd/m²
Natural Light Sources1,000-2×10⁹ cd/m²Sun, moon, skySun surface: 2×10⁹ cd/m², full moon: 2,500 cd/m²
Medical Imaging50-500 cd/m²Diagnostic displaysX-ray monitor: 400 cd/m², ultrasound: 250 cd/m²

Luminance Measurement Tools and Instruments

Photometers

  • Spot photometers: Measure luminance at specific points
  • Imaging photometers: Create luminance maps of entire scenes
  • Color photometers: Measure both luminance and chromaticity
  • Portable photometers: Field measurements and calibration

Calibration Standards

  • Standard light sources: NIST-traceable calibration
  • Luminance standards: Certified reference materials
  • Integrating spheres: Uniform luminance sources
  • Blackbody radiators: Temperature-based standards

Luminance vs Brightness vs Illuminance: Key Differences

Fundamental Distinctions

Luminance (L): Physical measurement of light emitted/reflected per unit area (cd/m²)
Brightness: Subjective perception of how bright something appears to human vision
Illuminance (E): Light falling on a surface per unit area (lux or lm/m²)

The relationship between these quantities is governed by the photometric law:

E = L × π × cos θ

Where: E = Illuminance, L = Luminance, θ = Angle of incidence

Luminance-Perception Relationship and Human Vision

Human visual perception follows a logarithmic relationship with luminance, described by the Weber-Fechner law:

ΔS = k × (ΔL / L)

Where: ΔS = Perceived brightness change, ΔL = Luminance change, L = Base luminance, k = Constant

Visual Comfort Ranges

  • Reading: 100-500 cd/m²
  • Computer work: 200-400 cd/m²
  • General lighting: 50-300 cd/m²
  • Night vision: 0.01-1 cd/m²

Adaptation Effects

  • Scotopic vision: Rod-dominated, low luminance
  • Mesopic vision: Mixed rod-cone response
  • Photopic vision: Cone-dominated, high luminance
  • Adaptation time: 5-30 minutes for full adaptation

Why Luminance Measurement Matters: Industries and Safety

Safety and Compliance

  • Workplace safety: OSHA lighting standards
  • Road safety: Automotive lighting regulations
  • Aviation: Runway and aircraft lighting requirements
  • Medical: Diagnostic display calibration standards

Quality Control

  • Display manufacturing: Consistency and performance
  • Lighting design: Architectural and theatrical applications
  • Photography: Exposure and color accuracy
  • Printing: Color matching and proofing

Frequently Asked Questions About Luminance

How does luminance affect energy efficiency?

Higher luminance typically requires more power, but modern LED technology provides excellent efficiency. The relationship follows: Power = Luminance × Area × Efficacy, where efficacy is measured in lumens per watt (lm/W).

What's the difference between luminance and radiance?

Luminance measures visible light as perceived by human vision (photometric), while radiance measures total electromagnetic radiation (radiometric). Luminance is weighted by the human eye's spectral sensitivity curve.

How do I measure luminance accurately?

Use a calibrated photometer with proper cosine correction, ensure the measurement angle is perpendicular to the surface, avoid ambient light interference, and calibrate regularly against known standards.

Why is luminance important in display technology?

Luminance determines display visibility in different lighting conditions, affects power consumption, influences color accuracy, and impacts user comfort and eye strain during extended viewing periods.

Frequently Asked Questions About Luminance Conversion