M. Collados Instituto de Astrofísica de Canarias CASSDA School 20-25 Apr 2015 - Tenerife M. Collados Instituto de Astrofísica de Canarias CASSDA School.

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Presentation transcript:

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife DATA REDUCTION AND CALIBRATION M. Collados

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife DATA REDUCTION AND CALIBRATION + Some notions on the Radiative Transfer Equation and Inversion Techniques

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife 2 ferroelectric liquid crystals (TIP) δ 1 = 155º δ 2 = 75º θ 1 = 70º θ 2 = 155º Δθ = 50º Polarimetric techniques 4 independent modulation states Fixed retardances θ 2 = θ 2 (Voltage) θ 1 = θ 1 (Voltage) Polarizer Polarizing beamsplitter

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife Polarimetric techniques Why a polarizing beamsplitter instead of a polarizer? Spatial modulation (Dual beam) Temporal modulation (Single beam)

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife Polarimetric techniques Spatial modulation (Dual beam) Temporal modulation (Single beam) Seeing-induced crosstalk Flatfield-induced crosstalk

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife Polarimetric techniques Temporal and Spatial modulation Beam exchange

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife Reduction steps Bad pixel correction Dark current subtraction Flatfield correction Telescope + polarimeter calibration Demodulation + Beam merging Residual fringes correction

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife 1.- Bad pixel correction raw imageCorrected for bad pixels

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife 2.- Dark current subtraction Important Same exposure time as observations

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife 3.- Flatfield correction CORRECTION FOR Line inclination Beam misalignment λ 1565 nm Important One flat per modulation state

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife 3.- Flatfield correction λ 1565 nm CORRECTION FOR Line inclination Beam misalignment Important One flat per modulation state

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife 3.- Flatfield correction λ 1565 nm Modulation state 1

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife 3.- Flatfield correction λ 1565 nm Modulation state 2

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife 3.- Flatfield correction λ 1565 nm Modulation state 3

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife 3.- Flatfield correction λ 1565 nm Modulation state 4

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife 4.- Telescope + polarimeter calibration

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife { 4.- Telescope + polarimeter calibration

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife Unknowns: 4.- Telescope + polarimeter calibration

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife Residual crosstalk Q, U, V ↔ Q, U, V ≈ 1% 4.- Telescope + polarimeter calibration (IV)

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife 5.- Demodulation + Beam merging T(t)D(t)D(t) T(t)1 N = T(t) I I = D(t) N // D(t) T(t) = 1 → →→→

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife On-line Stokes images visualization

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife 6.- Demodulation + Beam merging Single beamDual beam I V

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife 6.- Demodulation + Beam merging Single beamDual beam Q U

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife 6.- Demodulation + Beam merging U Q IV

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife Routines pro cal15650 lambda=15650.; polarimetric calibration filecal=['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,/display return end

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife Routines pro cal27apr14 ; data calibration xtau=[0.9917,174.02,1.0014,536.71] ; using all calib files ; 27 Apr - 5 May fileff=['27apr14.006'] filecal=['27apr14.005'] map='27apr14.000' gris,map,fileff,filecal,lambda=15650.,xtau=xtau,/xtalk return end

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr 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

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife Line Identification

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife Calculate dispersion

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife Wavelength calibrated spectrum

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife Continuum rectification 15th order polynomial FTS in redOBS in white

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife Continuum rectification OBS in whiteFTS in red

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife 2. Spectral Resolution + Stray Light σ teor = 56 mA

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife 2. Spectral Resolution + Stray Light FTS in redOBS in white

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife All steps

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife 3. The radiative transfer equation Synthesis Inversion

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife 3. The radiative transfer equation   Intensity  Optical depth S Source function K Absorption matrix RTE (stationary and plane-parallel)

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife 3. The radiative transfer equation Unno-Rachkovsky equations observer LTE

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife 3. The radiative transfer equation Zeeman splitting

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife 3. The radiative transfer equation   Intensity  Optical depth S Source function K Absorption matrix O Evolution or extintion operator RTE (stationary and plane-parallel)

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife 3. The radiative transfer equation Free parameters: B, θ, χ, B 0, B 1, η, Δλ d, a, v Mag. field Source function Line shape Line position with

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife Profiles for different field strength

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife Profiles for different field inclination

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife Profiles for different field azimuth

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife  R X Response function 3. The radiative transfer equation Parameter perturbation RTE perturbation Perturbation solution

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife Initial model T Synthesis I syn Observation I obs Perturbed profile δI = I syn - I obs Perturbed model δT 4. The RTE inversion

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife Existence of solution? Unicity of solution? 4. The RTE inversion

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife Least squares 4. The RTE inversion

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife 5. The RTE inversion (SIR)

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife 5. The RTE inversion (SIR)

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr 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

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr 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

M. Collados Instituto de Astrofísica de Canarias CASSDA School Apr Tenerife Magnetic field Westendorp Plaza et al. (2001) 6. Information obtained from spectral lines