english | Spectroscopy & Molecular Properties of Ozone |

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SECTION | CONTENT | |||||||
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Synthetic spectra |

Introduction |

Fourier Transfer Spectrometer |

Ozone facilities |

Experiment set-up |

Data reduction |

Assignment of lines |

- The transmittance is given by
where

*K(s, T, P)*is the absorption coefficient depending on the wavenumber, temperature, and pressure. This coefficient may be written aswhere

*S(T)*is the line strength and f*(s - s*is the line profile. For this last one, we use the Whiting expression modified by Oliveiro and Longbothum. [Ref.: J-J. Olivero and R.L. Longbothum, J.Q.S.R.T 17, 233 (1978)]_{o}, T, P) - The following step is to convolute the transmittance with the apparatus function. This convolution may obviously been applied to
any experimental set-up.

For a FT spectrometer, the apparatus function is first of all due to the maximum path difference which is limited; this function could be written aswhere

*L*is the maximum path difference. Various numerical apodization could be used as for example - The next step is to convolve this function with a second one, due to the entrance diaphragm
This leads to a shift in frequency

proportional to the wavenumber and the square of the radius

*r*of entrance diaphragm.*f*being the entrance focal of the apparatus.

Then the entire apparatus function iswhere

*j*is a parameter which describes the asymmetry of the line.