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Spectral Power Distributions “blackbody” Planckian radiators.

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Presentation on theme: "Spectral Power Distributions “blackbody” Planckian radiators."— Presentation transcript:

1 Spectral Power Distributions “blackbody” Planckian radiators

2 Planck’s Law h = Planck’s constant k = Boltzman constant c = speed of light λ = wavelength T = absolute temperature

3 Candle flame (1000K)

4 100 W tungsten bulb (2856K)

5 “Photoflood” 500 W bulb (3400K)

6 Sunlight (5500K)

7 Skylight (12000K)

8 Absolute vs. relative spectral power

9 Planck’s Law h = Planck’s constant k = Boltzman constant c = speed of light λ = wavelength T = absolute temperature

10 Stefan-Boltzman Law: total power output Total power = σ T 4 σ = Stefan-Boltzman constant T = temperature Kelvins

11 Wein’s Displacement Law: wavelength at peak output λ max = b/T b = 2.898 x 10 -3 (m K) T = temperature Kelvins

12 CIE 1988 photopic visibility function V(λ) 3800.0002 3900.0008 4000.0028 4100.0074 4200.0175 4300.0273 4400.0379 4500.0468 4600.0600 4700.0910 4800.1390 4900.2080 5000.3230 5100.5030 5200.7100 5300.8620 5400.9540 5500.9950 5600.9950 5700.9520 5800.8700 5900.7570 6000.6310 6100.5030 6200.3810 6300.2650 6400.1750 6500.1070 6600.0610 6700.0320 6800.0170 6900.0082 7000.0041 7100.0021 7200.0011 7300.0005 7400.0002 7500.0001 7600.0001 7700.0000 nm V(λ)

13 CIE 1988 photopic visibility function V(λ) with 2856K & 5500K blackbody radiators V(λ) 2856K 5500K

14 CIE 1988 photopic visibility function V(λ) with 2856K & 5500K blackbody radiators V(λ) 2856K 5500K

15 Radiometric constants: (ISO units, distance = meters) Constants: Planck's constanth6.63E-34J s speed of lightc3.00E+08m/s Boltzman's constantk1.38E-23J/K Wein's constantb2.90E-03m K Stefan-Boltzman constantσ5.670E-8W/m 2 K 4


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