Radiant flux, blackbody radiation

The sun radiates approximately as a blackbody, with an effective temperature of about 6000 K. The total solar flux is 3.9 x 10 W. Using Wien s law, it has been found that the frequency of maximum solar radiation intensity is 6.3 x 10 s (X = 0.48 /rm), which is in the visible part of the spectrum 99% of solar radiation occurs between the frequencies of 7.5 X 10 s (X = 4/um) and 2 x 10 s (X = 0.15/um) and about 50% in the visible region between 4.3 x 10 s (X = 0.7 /rm) and 7.5 X 10 s (X = 0.4 /Ltm). The intensity of this energy flux at the distance of the earth is about 1400 W m on an area normal to a beam of solar radiation. This value is called the solar constant. Due to the eccentricity of the earth s orbit as it revolves around the sun once a year, the earth is closer to the sun in January (perihelion) than in July (aphelion). This results in about a 7% difference in radiant flux at the outer limits of the atmosphere between these two times. 

Blackbody radiation sources are accurate radiant energy standards of known flux and spectral distribulion. They are used for calibrating other infrared sources, detectors, and optical systems. The radiating properties of a blackbody source are described by Planck s law. Energy distribution... 

The Planck theory of blackbody radiation provides a first approximation to the spectral distribution, or intensity as a function of wavelength, for the sun. The black-body theory is based upon a "perfect" radiator with a uniform composition, and states that the spectral distribution of energy is a strong function of wavelength and is pro portional to the temperature (in units of absolute temperature, or Kelvin), and several fundamental constants. Spectral radiant exitance (radiant flux per unit area) is de fined as ... 

Range Above 1234.93 K. Above the freezing point of silver, an optical pyrometer is nsed to measnre the emitted radiant flux (radiant excitance per unit wavelength interval) of a blackbody at wavelength A. The defining equation is the Planck radiation law in the form... 

We will express the IR emitted by a leaf at a temperature 74eaf using the Stefan-Boltzmann law (Eq. 6.18a), which describes the maximum rate of radiation emitted per unit area. For the general emission case we incorporate a coefficient known as the emissivity, or emittance (e)y which takes on its maximum value of 1 for a perfect, or blackbody, radiator. The actual radiant energy flux density equals (Tact )4 (Eq. 6-18b), which is the same as actual temperatures to describe... 

For isotropic sources, where L is independent of 0, (2.29) demonstrates that the radiant flux emitted into the unit solid angle is proportional to cosO Lambert s law). An example for such a source is a hole with the area dA in a blackbody radiation cavity (Fig. 2.3). 

As stated earlier, the blackbody is an entity that represents the ideal radiation. Therefore, we can relate the radiant energy for any real body (i.e., non-blackbody) to the blackbody s radiant energy. The ratio of emissive energy fluxes is then the emissivity of the real object ... 

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