emissivity
(noun)
The energy-emitting propensity of a surface, usually measured at a specific wavelength.
Examples of emissivity in the following topics:
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Lasers
- It does so through a process of optical amplification based on the stimulated emission of photons.
- This is the mechanism of fluorescence and thermal emission.
- This "induced" decay process is called stimulated emission.
- In stimulated emission, the decaying atom produces an identical "copy" of the incoming photon.
- Identify process that generates laser emission and the defining characteristics of laser light
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Emission
- Generally material has two routes for the emission of radiation: stimulated emission and spontaneous emission.
- The spontaneous emission is independent of the radiation field.
- Let's define the spontaneous emission coefficient, $j$.
- Often the emission is isotropic and it is convenient to define the emissivity of the material per unit mass
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Calculating the Emission and Absorption Coefficients
- We can write the emission and absorption coefficients in terms of the Einstein coefficients that we have just examined.
- The emission coefficient $j_\nu$ has units of energy per unit time per unit volume per unit frequency per unit solid angle!
- The Einstein coefficient $A_{21}$ gives spontaneous emission rate per atom, so dimensional analysis quickly gives
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Problems
- What is the synchrotron emission from a single electron passing through a magnetic field in terms of the energy density of the magnetic field and the Lorentz factor of the electron?
- What is the inverse Compton emission from a single electron passing through a gas of photons field in terms of the energy density of the photons and the Lorentz factor of the electron?
- What is the total inverse Compton emission from the region if you assume that the synchrotron emission provides the seed photons for the inverse Compton emission?
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Gamma Decay
- Gamma decay is a process of emission of gamma rays that accompanies other forms of radioactive decay, such as alpha and beta decay.
- For example, cobalt-60 decays to excited nickel-60 by beta decay through emission of an electron of 0.31 MeV.
- In certain cases, the excited nuclear state following the emission of a beta particle may be more stable than average; in these cases it is termed a metastable excited state if its decay is 100 to 1000 times longer than the average $10^{-12}$ seconds.
- The process of isomeric transition is therefore similar to any gamma emission; it differs only in that it involves the intermediate metastable excited states of the nuclei.
- Excited levels for Ni-60 that drop to ground state via emission of gamma rays are indicated
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Emission Topography
- Positron emission tomography is a nuclear medical imaging technique that produces a three-dimensional image of processes in the body.
- Positron emission tomography (PET) is a nuclear medical imaging technique that produces a three-dimensional image or picture of functional processes in the body.
- PET acquisition process occurs as the radioisotope undergoes positron emission decay (also known as positive beta decay), it emits a positron, an antiparticle of the electron with opposite charge.
- A technique much like the reconstruction of computed tomography (CT) and single-photon emission computed tomography (SPECT) data is more commonly used, although the data set collected in PET is much poorer than CT, so reconstruction techniques are more difficult.
- Discuss possibility of uses of positron emission tomography with other diagnostic techniques.
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Infrared Waves
- The concept of emissivity is important in understanding the infrared emissions of objects.
- This is a property of a surface which describes how its thermal emissions deviate from the ideal of a black body.
- As stated above, while infrared radiation is commonly referred to as heat radiation, only objects emitting with a certain range of temperatures and emissivities will produce most of their electromagnetic emission in the infrared part of the spectrum.
- Infrared radiation can be used to remotely determine the temperature of objects (if the emissivity is known).
- Distinguish three ranges of the infrared portion of the spectrum, and describe processes of absorption and emission of infrared light by molecules
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Fluorescence and Phosphorescence
- Fluorescence is the emission of light by a substance that has absorbed light or other electromagnetic radiation.
- However, when the absorbed electromagnetic radiation is intense, it is possible for one electron to absorb two photons; this two-photon absorption can lead to emission of radiation having a shorter wavelength than the absorbed radiation.
- Once in a different spin state, electrons cannot relax into the ground state quickly because the re-emission involves quantum mechanically forbidden energy state transitions.
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Oscillator Strengths
- In an earlier equation, the final term could be important if the $E_i-E_f \approx -\hbar \omega$ this corresponds to stimulated emission of radiation.
- Except for the degeneracy factors for the two states, the Einstein coefficients will be the same, so we can define an oscillator strength for stimulated emission as well,
- We can also separate the emission from absorption oscillator strengths
- Because the second term is for stimulated emission.
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Scattering
- Couldn't you think about scattering as the absorption and re-emission of a photon and include the process in the absorption coefficients and source functions?
- This yields an emission coefficient of
- Notice that the emission rate depends on the radiation field through $J_\nu$ and not solely on the properties of the scatterer through $\sigma_\nu$.