m. collados instituto de astrofísica de canarias cassda school 20-25 apr 2015 - tenerife m....
TRANSCRIPT
![Page 1: M. Collados Instituto de Astrofísica de Canarias CASSDA School 20-25 Apr 2015 - Tenerife M. Collados Instituto de Astrofísica de Canarias CASSDA School](https://reader030.vdocuments.site/reader030/viewer/2022013012/56649e4f5503460f94b45ffc/html5/thumbnails/1.jpg)
M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
TIP@GRIS DATA REDUCTION AND
CALIBRATION
M. Collados
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
TIP@GRIS DATA REDUCTION AND
CALIBRATION+
Some notions on theRadiative Transfer Equation
and Inversion Techniques
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
2 ferroelectric liquid crystals (TIP)
δ1 = 155º δ2 = 75º θ1 = 70º θ2 = 155º Δθ = 50º
Polarimetric techniques
4 independent modulation states
Fixed retardances
θ 2= θ 2(Voltage)
θ 1= θ 1(Voltage)Polarizer
Polarizing beamsplitter
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
Polarimetric techniques
Why a polarizing beamsplitter instead of a polarizer?
Spatial modulation (Dual beam)
Temporal modulation (Single beam)
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
Polarimetric techniques
Spatial modulation (Dual beam)
Temporal modulation (Single beam)
Seeing-induced crosstalk
Flatfield-induced crosstalk
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
Polarimetric techniques
Temporal and Spatial modulation
Beam exchange
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
Reduction steps
• Bad pixel correction
• Dark current subtraction
• Flatfield correction
• Telescope + polarimeter calibration
• Demodulation + Beam merging
• Residual fringes correction
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
1.- Bad pixel correction
raw image Corrected for bad pixels
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
2.- Dark current subtraction
Important
• Same exposure time
as observations
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
3.- Flatfield correction
CORRECTION FOR
• Line inclination
• Beam misalignment
λ 1565 nm
Important
• One flat per
modulation state
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
3.- Flatfield correction
λ 1565 nm
CORRECTION FOR
• Line inclination
• Beam misalignment
Important
• One flat per
modulation state
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
3.- Flatfield correction
λ 1565 nmModulation state 1
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
3.- Flatfield correction
λ 1565 nmModulation state 2
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
3.- Flatfield correction
λ 1565 nmModulation state 3
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
3.- Flatfield correction
λ 1565 nmModulation state 4
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
4.- Telescope + polarimeter calibration
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
{
4.- Telescope + polarimeter calibration
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
Unknowns:
4.- Telescope + polarimeter calibration
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
Residual crosstalk Q, U, V ↔ Q, U, V ≈ 1%
4.- Telescope + polarimeter calibration (IV)
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
5.- Demodulation + Beam merging
N = T(t) I I = D(t) N // D(t) T(t) = 1→ → → →
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
On-line Stokes images visualization
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
6.- Demodulation + Beam merging
Single beam Dual beam
I
V
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
6.- Demodulation + Beam merging
Single beam Dual beam
Q
U
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
6.- Demodulation + Beam merging
UQ
I V
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
Routines
pro cal15650lambda=15650. ; polarimetric calibrationfilecal=['27apr14.005','27apr14.009','27apr14.012','27apr14.019', $ '28apr14.001','28apr14.005','28apr14.007', $ '29apr14.002','29apr14.005','29apr14.008','29apr14.011', $ '30apr14.000','30apr14.005','30apr14.008', $ '30apr14.013','30apr14.016', $ '01may14.002','01may14.005','01may14.007', $ '02may14.002','02may14.005','02may14.012', $ '02may14.016','02may14.019', $ '03may14.001','03may14.006','03may14.010','03may14.014', $ '03may14.017','03may14.025','03may14.029', $ '05may14.001','05may14.006'] get_teles,filecal,lambda=lambda,xtau=xtau,/verbose,/displayreturnend
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
Routines
pro cal27apr14 ; data calibration xtau=[0.9917,174.02,1.0014,536.71] ; using all calib files ; 27 Apr - 5 Mayfileff=['27apr14.006']filecal=['27apr14.005']map='27apr14.000'gris,map,fileff,filecal,lambda=15650.,xtau=xtau,/xtalkreturnend
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
Data handling and preparation prior to analysis
(not included yet in standard routines)
- Continuum rectification
- Wavelength calibration
- Stray light (and PSF) evaluation
COMPARISON WITH FTS
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
Line Identification
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
Calculate dispersion
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
Wavelength calibrated spectrum
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
Continuum rectification
15th order polynomial FTS in redOBS in white
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
Continuum rectification
OBS in white FTS in red
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
2. Spectral Resolution + Stray Light
σteor= 56 mA
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
2. Spectral Resolution + Stray Light
FTS in redOBS in white
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
All steps
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
3. The radiative transfer equation
Synthesis
Inversion
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
3. The radiative transfer equation
In Intensity
t Optical depth
Sn Source function
K Absorption matrix
RTE (stationary and plane-parallel)
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
3. The radiative transfer equation
Unno-Rachkovsky equations
observer
LTE
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
3. The radiative transfer equation
Zeeman splitting
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
3. The radiative transfer equation
In Intensity
t Optical depth
Sn Source function
K Absorption matrix
O Evolution or extintion
operator
RTE (stationary and plane-parallel)
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
3. The radiative transfer equation
Free parameters: B, θ, χ, B0, B1, η, Δλd , a, v
Mag. field Source
function Line
shape Line
position
with
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
Profiles for different field strength
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
Profiles for different field inclination
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
Profiles for different field azimuth
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
RX Response function
3. The radiative transfer equation
Parameter perturbation
RTE perturbation
Perturbation solution
𝑅𝑥 (𝜏5 )=𝛿𝐼 ν
𝛿𝑥
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
Initial model
T
Synthesis Isyn
Observation
Iobs
Perturbed profile
δI = Isyn - Iobs
Perturbed model
δT
4. The RTE inversion
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
• Existence of solution?
• Unicity of solution?
4. The RTE inversion
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
Least squares
4. The RTE inversion
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M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
5. The RTE inversion (SIR)
![Page 50: M. Collados Instituto de Astrofísica de Canarias CASSDA School 20-25 Apr 2015 - Tenerife M. Collados Instituto de Astrofísica de Canarias CASSDA School](https://reader030.vdocuments.site/reader030/viewer/2022013012/56649e4f5503460f94b45ffc/html5/thumbnails/50.jpg)
M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
5. The RTE inversion (SIR)
![Page 51: M. Collados Instituto de Astrofísica de Canarias CASSDA School 20-25 Apr 2015 - Tenerife M. Collados Instituto de Astrofísica de Canarias CASSDA School](https://reader030.vdocuments.site/reader030/viewer/2022013012/56649e4f5503460f94b45ffc/html5/thumbnails/51.jpg)
M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
6. Information obtained from spectral lines
1.- Temperature stratification
2.- LOS velocity stratification
3.- Magnetic field vector stratification
4.- Atomic parameters
5.- Element abundance
![Page 52: M. Collados Instituto de Astrofísica de Canarias CASSDA School 20-25 Apr 2015 - Tenerife M. Collados Instituto de Astrofísica de Canarias CASSDA School](https://reader030.vdocuments.site/reader030/viewer/2022013012/56649e4f5503460f94b45ffc/html5/thumbnails/52.jpg)
M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
6. Information obtained from spectral lines
1.- Temperature stratification
2.- LOS velocity stratification
3.- Magnetic field vector stratification
4.- Atomic parameters
5.- Element abundance
![Page 53: M. Collados Instituto de Astrofísica de Canarias CASSDA School 20-25 Apr 2015 - Tenerife M. Collados Instituto de Astrofísica de Canarias CASSDA School](https://reader030.vdocuments.site/reader030/viewer/2022013012/56649e4f5503460f94b45ffc/html5/thumbnails/53.jpg)
M. ColladosInstituto de Astrofísica de Canarias
CASSDA School 20-25 Apr 2015 - Tenerife
Magnetic field
Westendorp Plaza et al. (2001)
6. Information obtained from spectral lines