spectral_class_a
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spectral_class_a [2019/12/27 20:59] tstibor [Resolving Power & Resolution] |
spectral_class_a [2020/12/09 15:27] (current) |
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| The //resolving power// is defined as $R = \frac{\lambda}{\Delta \lambda}$, where $\lambda$ is the wavelength and $\Delta \lambda$ the wavelength interval defined as the //spectral resolution// | The //resolving power// is defined as $R = \frac{\lambda}{\Delta \lambda}$, where $\lambda$ is the wavelength and $\Delta \lambda$ the wavelength interval defined as the //spectral resolution// | ||
| The spectral resolution is the smallest wavelength interval that can be distinguished and is expressed in | The spectral resolution is the smallest wavelength interval that can be distinguished and is expressed in | ||
| - | wavelength units as Å or nanometers. In addition, it can be expressed as the $\text{FWHM}_{\text{Instrument}} = \frac{\lambda}{R}$. | + | wavelength units as Å or nanometers. In addition, it can be expressed as the $\Delta \lambda = \text{FWHM}_{\text{Instrument}} = \frac{\lambda}{R}$. |
| The FWHM values are measured with SpcAudace at | The FWHM values are measured with SpcAudace at | ||
| < | < | ||
| spc_fwhm alplyr--profil-1c_sel 3934 3990 a | spc_fwhm alplyr--profil-1c_sel 3934 3990 a | ||
| - | # Type de raie à ajuster : absorption | ||
| - | # Gaussienne ajustée : Imax=1.208854 ADU, Xc=3965.4946564 A, FWHM=44.722014838 A, Icont=-1.805338 ADU | ||
| - | # Le continuum à 3799.83395549 vaut 0.970143 | ||
| - | # Le continuum à 4124.16604451 vaut 1.919091 | ||
| - | # Continuum autour de la raie : 1.444617 | ||
| - | # Courbe gaussienne sauvée sous alplyr--profil-1c_sel_gauss | ||
| - | # | ||
| - | La gausienne ajustée est définie par : | ||
| - | | ||
| - | | ||
| - | | ||
| - | # | ||
| - | FWHM mesurée : 3.04149001606 pixels | ||
| - | # La FWHM de la raie est : 44.722014838 +/- 6.52887092647 A (ie +/- 14.6 %) | ||
| # 44.722014838 6.52887092647 | # 44.722014838 6.52887092647 | ||
| </ | </ | ||
| < | < | ||
| spc_fwhm alplyr--profil-1c_sel 4056 4143 a | spc_fwhm alplyr--profil-1c_sel 4056 4143 a | ||
| - | # Type de raie à ajuster : absorption | ||
| - | # Gaussienne ajustée : Imax=1.364569 ADU, Xc=4103.41700889 A, FWHM=47.6019613648 A, Icont=-2.035887 ADU | ||
| - | # Le continuum à 3913.19411591 vaut 1.309091 | ||
| - | # Le continuum à 4285.80588409 vaut 1.887455 | ||
| - | # Continuum autour de la raie : 1.598273 | ||
| - | # Courbe gaussienne sauvée sous alplyr--profil-1c_sel_gauss | ||
| - | # | ||
| - | La gausienne ajustée est définie par : | ||
| - | | ||
| - | | ||
| - | | ||
| - | # | ||
| - | FWHM mesurée : 3.23735168821 pixels | ||
| - | # La FWHM de la raie est : 47.6019613648 +/- 7.1041365302 A (ie +/- 14.9 %) | ||
| # 47.6019613648 7.1041365302 | # 47.6019613648 7.1041365302 | ||
| </ | </ | ||
| < | < | ||
| spc_fwhm alplyr--profil-1c_sel 4304 4416 a | spc_fwhm alplyr--profil-1c_sel 4304 4416 a | ||
| - | # Type de raie à ajuster : absorption | ||
| - | # Gaussienne ajustée : Imax=1.35002 ADU, Xc=4342.64363727 A, FWHM=54.6684579023 A, Icont=-1.911663 ADU | ||
| - | # Le continuum à 4139.99462629 vaut 1.927091 | ||
| - | # Le continuum à 4580.00537371 vaut 1.752000 | ||
| - | # Continuum autour de la raie : 1.8395455 | ||
| - | # Courbe gaussienne sauvée sous alplyr--profil-1c_sel_gauss | ||
| - | # | ||
| - | La gausienne ajustée est définie par : | ||
| - | | ||
| - | | ||
| - | | ||
| - | # | ||
| - | FWHM mesurée : 3.71793555155 pixels | ||
| - | # La FWHM de la raie est : 54.6684579023 +/- 4.66692282694 A (ie +/- 8.5 %) | ||
| # 54.6684579023 4.66692282694 | # 54.6684579023 4.66692282694 | ||
| </ | </ | ||
| < | < | ||
| spc_fwhm alplyr--profil-1c_sel 4825 4905 a | spc_fwhm alplyr--profil-1c_sel 4825 4905 a | ||
| - | # Type de raie à ajuster : absorption | ||
| - | # Gaussienne ajustée : Imax=1.043606 ADU, Xc=4861.48661556 A, FWHM=65.4526604596 A, Icont=-1.399488 ADU | ||
| - | # Le continuum à 4628.64201862 vaut 1.703182 | ||
| - | # Le continuum à 5101.35798138 vaut 1.270273 | ||
| - | # Continuum autour de la raie : 1.4867275 | ||
| - | # Courbe gaussienne sauvée sous alplyr--profil-1c_sel_gauss | ||
| - | # | ||
| - | La gausienne ajustée est définie par : | ||
| - | | ||
| - | | ||
| - | | ||
| - | # | ||
| - | FWHM mesurée : 4.45135609461 pixels | ||
| - | # La FWHM de la raie est : 65.4526604596 +/- 6.58084006378 A (ie +/- 10.1 %) | ||
| # 65.4526604596 6.58084006378 | # 65.4526604596 6.58084006378 | ||
| </ | </ | ||
| + | and yields a mean $\text{FWHM}_{\text{Instrument}}$ value of $\Delta \lambda = 53.11127$ Å and a mean resolving power of | ||
| + | $R = \frac{1}{4} (\frac{4860}{65.4526604596} + \frac{4340}{54.6684579023} + \frac{4101}{47.6019613648} + \frac{3966}{44.722014838}) = 82.11821$ | ||
spectral_class_a.1577480386.txt.gz · Last modified: 2020/12/09 15:28 (external edit)
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