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Light-Emitting Diodes

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445.664 445.664

Light

Light - - Emitting Diodes Emitting Diodes

Chapter 17 Chapter 17 Calorimetry Calorimetry

Euijoon Yoon Euijoon Yoon

Colorimetry Colorimetry

The assessment and quantification of color

Science of color

The human sense of vision is different from the human sense of hearing

- Can distinguish two frequencies generated by a musical instrument

- Mixing two monochromatic optical signals will appear

to us as one color and we are unable to recognize

the original dichromatic composition of that color.

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445.664 (Intro. LED) / Euijoon Yoon

Color matching functions Color matching functions

••The three color matching functions approximately correspond to tThe three color matching functions approximately correspond to thehe eye sensitivity of the red, green, and blue cones, respectively

eye sensitivity of the red, green, and blue cones, respectively..

••There are different standards for the color matching functions.There are different standards for the color matching functions.

y=y=V(V(λλ))

445.664 (Intro. LED) / Euijoon Yoon

Color matching functions Color matching functions

λ

λ λ λ

= x( )P( )d X

λ

λ λ λ

= y( )P( )d Y

λ

λ λ λ

= z( )P( )d Z

X,Y, and Z are

X,Y, and Z are tristimulustristimulusvalues.values.

chromaticity coordinateschromaticity coordinatesx, yx, y

Z Y X x X

+

= +

Z Y X y Y

+

= +

z chromaticity coordinate not needed, since x + y + z = 1 z chromaticity coordinate not needed, since x + y + z = 1

The degree of stimulation of the three types of conesThe degree of stimulation of the three types of cones

--The value of a chromaticity coordinate is the stimulation of onThe value of a chromaticity coordinate is the stimulation of one particulare particular cone normalized to the entire stimulation (X+Y+Z).

cone normalized to the entire stimulation (X+Y+Z).

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445.664 (Intro. LED) / Euijoon Yoon

Chromaticity diagram Chromaticity diagram

Monochromatic or pure colorsMonochromatic or pure colors are found on the perimeter of are found on the perimeter of the chromaticity diagram.

the chromaticity diagram.

White light is found in the White light is found in the center of the chromaticity center of the chromaticity diagram. (1/3,1/3,1/3) diagram. (1/3,1/3,1/3)

Equal-energy point

MacAdam

MacAdam ellipses ellipses

Two chromaticity points must have a minimum geometrical distance to yield a perceptible difference in color.

Colors within a certain small region in the chromaticity diagram appear identical to human vision.

Blue and green regions are very different in size.

Humans can discern ~50,000 distinct chromaticities. Considering possible variation in luminance (brightness): number of differential colors ~10^6

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445.664 (Intro. LED) / Euijoon Yoon

Uniform chromaticity diagram Uniform chromaticity diagram

It is very desirable for the color difference to be proportional to the geometric difference.

Uniform chromaticity diagram

4 6

( ,1960)

15 3 15 3

4 9

' ( ,1976)

15 3 15 3

X Y

u v C IE

X Y Z X Y Z

X Y

u v C IE

X Y Z X Y Z

= =

+ + + +

= =

+ + + +

445.664 (Intro. LED) / Euijoon Yoon

Color purity and dominant wavelength Color purity and dominant wavelength

Color purity Color purity

= a / (a+b)

= a / (a+b)

Peak wavelength is a quantity used Peak wavelength is a quantity used in physics and optics.

in physics and optics.

Dominant wavelength is used Dominant wavelength is used by human vision.

by human vision.

••As the spectral linewidth of a light source gets broader, the coAs the spectral linewidth of a light source gets broader, the color lor location moves towards the center of the chromaticity diagram.

location moves towards the center of the chromaticity diagram.

Equal Equal--energy energy locus locus

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445.664 (Intro. LED) / Euijoon Yoon

LEDs in chromaticity diagram LEDs in chromaticity diagram

••Red and blue LEDs are near perimeter.Red and blue LEDs are near perimeter.

••Green LEDs are not at perimeter but are shifted towards center.Green LEDs are not at perimeter but are shifted towards center.

••Color purityColor purityor color saturationor color saturation

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