Please confirm that JavaScript is enabled in your browser. Even when the particle size is the same, if it is smaller than ten times the laser wavelength, the light intensity distribution pattern will be slightly different depending on the refractive index. In a word, the Fraunhofer diffraction theory is one of the approximate expressions of the Mie scattering theory. The Mie scattering theory is extremely complex and harder to understand than the Fraunhofer diffraction theory. The Fraunhofer lines are a set of famous absorption lines named after a German physicist. So that the light intensity distribution pattern is calculated by using the Mie scattering theory, the refractive index of the particles and medium (liquid medium) must be set. It may be more appropriate to simply say that the light intensity distribution pattern is calculated based on the Mie scattering theory for all particle sizes. They occur because cooler gas, which is higher in the Sun's atmosphere, absorbs some colors of the light emitted by … On the other hand, when the particle size is extremely large, the phenomenon of calculation error building up and causing inaccurate calculation results sometimes occurs if the Mie scattering theory is applied as it is to calculate the light intensity distribution pattern. Fraunhofer lines are dark absorption lines in the solar spectrum that can be seen when sunlight is passed through a prism to separate it into the colors of the rainbow. Our website uses JavaScript. This approximate expression can be used only when the following two conditions are satisfied: The particle size is relatively large (at least, 10 times the … Thus, the inner corona is predominantly K and the outer corona is predominantly F. Nevertheless, the Fraunhofer diffraction theory is merely used as a simple approximate expression of the Mie scattering theory only when the particle size is extremely large and the scattering angle is small. Fraunhofer lines, in astronomical spectroscopy, any of the dark (absorption) lines in the spectrum of the Sun or other star, caused by selective absorption of the Sun’s or star’s radiation at specific wavelengths by the various elements existing as gases in its atmosphere. Focal plane of a positive lens as the far field plane In actual measurement, a different parameter table is selected according to the refractive index to be used as a measurement condition. This requires more complex programming and a fairly fast computer. The Fraunhofer equation can be used to model the diffraction in this case. So, on actual analyzers, many parameter tables set with different refractive indices are stored in memory for use. A considerable amount of time is required for calculating this parameter table. For wet measurement, the refractive index of water is set to calculate the parameter table. This is why the Fraunhofer diffraction theory and Mie scattering theory are jointly used at present for calculating the light intensity distribution pattern to ensure that a wide measurement range is covered. On models that use only the Fraunhofer diffraction theory, measurement in the sub-micron region is impossible. It was for this reason that the Fraunhofer diffraction theory was only used in the past. Let's take a look at the relationship between the Fraunhofer diffraction theory and Mie scattering theory. The F component (F for Fraunhofer) contains dark lines and falls off slowly with the distance from the Sun. Not for use in diagnostic procedures. With the laser diffraction/scattering method, particle size is specified from the light intensity distribution pattern. This page may contain references to products that are not available in your country.Please contact us to check the availability of these products in your country. The photosphere gas has lower temperatures than gas in the inner regions, and absorbs a little of the light emitted from those regions. In a word, the Fraunhofer diffraction theory is one of the approximate expressions of the Mie scattering theory. Absorption lines are dark lines, narrow regions of decreased intensity, that are the result of photons being absorbed as light passes from the source to the detector.

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