Photometric & Optics
Candela Distribution Calculator
Visualize luminous intensity distribution patterns across angles. Select a distribution type and adjust intensity to see the polar plot update in real time.
Distribution Type
Peak Intensity  1000 cd
Lambertian: Ideal diffuse emitter. Intensity proportional to cos(θ). Equal luminance from all viewing angles. Typical of matte white surfaces and bare LED chips.
90° 90° 180° 100% 75% 50% 25%
1000
cd
Peak Intensity
120°
Beam Angle
50% intensity (FWHM)
180°
Field Angle
10% intensity cutoff
Intensity by Angle
Angle (°)Intensity (cd)% of PeakZone

Candela vs lumens — what’s the difference?

Lumens (lm)

The total light a source emits in every direction — the size of the bucket of light.

Candela (cd)

Light intensity in one direction — how concentrated that light is where you aim it.

Same lumens, different optic: squeeze the light into a narrow beam and candela shoots up (a bright, tight pool); spread it wide and candela drops (a soft, dim wash). That’s why a 1000 lm spotlight and a 1000 lm floodlight feel completely different even though they emit the same total light.

Lumens → peak candela

I = Φ / Ω  ·  Ω = 2π (1 − cos(θ / 2))
I = candela   Φ = lumens   Ω = solid angle (steradians)

Drag the beam angle down and watch the same lumens produce far higher candela — that spike is beam concentration, the whole point of a spot optic. (Assumes an even beam; real optics vary.)

Distribution types & where they’re used

DistributionReal-world use
Narrow, high candelaAccent lighting, artwork, spotlights
MediumRetail & display
WideAmbient & general room lighting
BatwingOpen offices, uniform spacing
AsymmetricWall washing, signage, facades

Quick glossary

CBCP — center beam candlepower
The candela measured straight down the middle of the beam: its peak intensity.
Beam angle
The cone where intensity is at least 50% of peak (also called FWHM).
Field angle
The wider cone where intensity is at least 10% of peak.
Candela vs lux
Candela is intensity at the source; lux is what lands on a surface — lux = candela ÷ distance².
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The calculators and tools on Formula Factory are provided for general guidance and informational purposes only. Results are estimates based on standard formulas and the values you enter — they do not constitute professional engineering, electrical, or architectural advice. Always verify calculations with a qualified professional before making decisions for any safety-critical, code-compliance, or commercial application. Formula Factory makes no representations or warranties as to the accuracy or completeness of any result, and accepts no liability for errors, omissions, or any outcomes arising from reliance on this information.