Wednesday, 5 September 12 Introduction ‘The Carrington - The experience’ Dynamic Corona The ‘Carrington’ Experience Wednesday, 5 September 12 THE UNIVERSITY OF WARWICK Centre for Fusion, Space and Astrophysics 1 2 Erwin Verwichte - Sun Observation - ASSSP12 Overview of aspects of solar observation focused mainly on EUV imaging of the solar corona. Erwin Verwichte Sun Observation ASSSP12 University of Warwick 2-7 Sep 2012 104” 1000” 100” 10” 1” 0.1” Wednesday, 5 September 12 SoHO/EIT 1000s hour 100s minute OSO-7&8 1971-1978 10s 1s second TRACE 3EUV full-disk mosaic 1999/08/02 3 3 SoHO/EIT 30/10/2005 The Sun’s appearance changes throughout the atmosphere 4 Erwin Verwichte - Sun Observation - ASSSP12 temporal resolution rs age m i e Flar RHESSI 2000- SMM/HXIS 1980-1998 Yohkoh/SXT 1991-2001 CS: speed of sound, VA: Alfvén speed CMEs Loops Prominences P P CS VA λ= λ= CoMP 2004- SDO/AIA FASR Hinode/XRT 2010 2010? 2006Hinode/EIS NORH 2006- Nanoflares Solar Orbiter 1996Microflares Skylab/S056 1973-1974 LD Flares 2006- s gerTRACE a m li 1998ona Cor STEREO/EUVI The Solar atmosphere Wednesday, 5 September 12 Radio X-ray EUV 1 Rsun 100 Mm 1 Mm 100 km spatial resolution 3 Erwin Verwichte - Sun Observation - ASSSP12 With current instruments we resolve dynamics on macroscopic scales, where magnetohydrodynamics is applicable. Observational Scales 5 min TRACE 3EUV full-disk mosaic 1999/08/02 Wednesday, 5 September 12 TRACE 3EUV full-disk mosaic 1999/08/02 The Solar atmosphere Wednesday, 5 September 12 The Solar atmosphere 3 3 4 SoHO/EIT 30/10/2005 The Sun’s appearance changes throughout the atmosphere 4 Erwin Verwichte - Sun Observation - ASSSP12 SoHO/EIT 30/10/2005 The Sun’s appearance changes throughout the atmosphere Erwin Verwichte - Sun Observation - ASSSP12 TRACE 3EUV full-disk mosaic 1999/08/02 Wednesday, 5 September 12 TRACE 3EUV full-disk mosaic 1999/08/02 The Solar atmosphere Wednesday, 5 September 12 The Solar atmosphere 3 3 4 SoHO/EIT 30/10/2005 The Sun’s appearance changes throughout the atmosphere 4 Erwin Verwichte - Sun Observation - ASSSP12 SoHO/EIT 30/10/2005 The Sun’s appearance changes throughout the atmosphere Erwin Verwichte - Sun Observation - ASSSP12 TRACE 3EUV full-disk mosaic 1999/08/02 Wednesday, 5 September 12 The corona is optically thin, filled with rarified plasma at millions of degrees Kelvin and its thermal part emits through lineemission from minority species excited by collisions. This gives rise to emission line spectra, visible in the EUV and X-ray. Solar spectrum Wednesday, 5 September 12 The Solar atmosphere 3 5 4 Culhane & Acton (1974) The largest part of solar radiation comes from the photosphere, which can be modeled as a black-body radiator visible in the visible, UV and IR, with elements providing absorption lines, Erwin Verwichte - Sun Observation - ASSSP12 SoHO/EIT 30/10/2005 The Sun’s appearance changes throughout the atmosphere Erwin Verwichte - Sun Observation - ASSSP12 by the moon ac a et 01 National Astronomical Observatory of Japan Invented by Bernard Lyot in 1939 by an artificial obstruction Downsides: at mercy of orbital mechanics of the Moon and at mercy of the Earth’s atmospheric conditions. 0) Wednesday, 5 September 12 7 Erwin Verwichte - Sun Observation - ASSSP12 The corona can be seen in the visible light because its electrons (K-corona) and dust (F-corona) scatter light from the photosphere. Intensity is proportional to density (info on structuring), scattering has no temperature info. Natural and unnatural coronagraphs Wednesday, 5 September 12 molecular There are two windows to observe space from the ground: visible and radio atomic 6 Erwin Verwichte - Sun Observation - ASSSP12 Earth atmosphere is a barrier to observe the corona? s Pa ff ho 2 l. ( 9 Erwin Verwichte - Sun Observation - ASSSP12 Polarization Wednesday, 5 September 12 P / sin2 (✓B ) I V / B cos ✓B ✓ dI d! ◆ •Line-of-sight magnetic field from V (Zeeman, tricky in corona as V/I < 0.001) •Plane-of-sky magnetic field direction from Q and U (resonance scattering) The Stokes parameters contain information about the magnetic field: also P = [Q2 + U2]1/2 I = |Ex|2 + |Ey|2 Total intensity (coherent + incoherent) Q = |Ex|2 - |Ey|2 Horizontal-vertical linear polarization balance U = |Ea|2 - |Eb|2 45 degrees linear polarization balance V = |EL|2 - |ER|2 Left-right circular polarization balance b L y R a x Stokes parameters describe the coherence and polarization of light. We measure the light as a vector in the plane of the sky using polarizing filters. Stokes parameters Ground-measurements are flexible and can be sensitive and high time-cadence, but again you are at the mercy of the Earth’s atmosphere! Example: Polarimeter which measures the polarization of the light with a coronagraph at several wavelengths around the emission line. Wednesday, 5 September 12 8 Erwin Verwichte - Sun Observation - ASSSP12 There are ‘forbidden’ emission lines in the visible spectrum that are sensitive to coronal temperatures that offer more, e.g. Fe XIII at 1074.7 nm! Natural and unnatural coronagraphs CoMP (Tomczyk et al. 2008) Wednesday, 5 September 12 A first instrument that uses normal incidence (reflection of a mirror) is the Extreme-ultraviolet Imaging Telescope (EIT) on board SoHO. Extreme-ultraviolet Imaging Telescope (EIT) Wednesday, 5 September 12 11 Erwin Verwichte - Sun Observation - ASSSP12 One traditional method is using diffraction grating (e.g. Skylab, MOSES rocket). You cannot use refraction (lenses) in the EUV domain because matter absorbs this light. EUV telescopes thus need to use reflection (mirrors). Skylab overlappograph 10 Erwin Verwichte - Sun Observation - ASSSP12 An EUV imager takes images of the Sun through a broadband wavelength filter in which one (or several) dominant EUV emission line(s) are present. Imaging in the EUV (x,y) Wednesday, 5 September 12 (λ): CCD quantum efficiency [1] D(λ,t): Degradation over time [1] A: open aperture area [cm2] = 11.97 TEF(λ): Entrance Filter transmissivity [1] RPM(λ): Primary Mirror reflectivity [1] RSM(λ): Secondary Mirror reflectivity [1] TFW(λ): Filter Wheel transmissivity [1] TSL(λ): Stray-Light Filter transmissivity [1] Ae↵ ( ) = A TEF ( ) RPM ( ) RSM ( ) TFW ( ) TSL ( ) ✏( ) D( , t) To compare with other instruments we use the Effective Area: 0 Z1 Z I(x, y) = Ae↵,i ( ) G( ) F (x, y) P ( , ✓, ne , T ) ⇤ PSF(✓)d✓ d The throughput (transfer function) of the telescope: Extreme-ultraviolet Imaging Telescope (EIT) Wednesday, 5 September 12 CCD is 1024x1024 back-illuminated. A stray-light filter eliminates any reflections off instrument parts. The filter wheel allows to add some additional Al-filtering. 13 Erwin Verwichte - Sun Observation - ASSSP12 The optics are a Ritchey-Chretien design (a bit like a Cassegrain). They are multi-layer coated with Mo and Si. Each quadrant is different, with a different EUV wavelength window. A sector wheel allows to select one of the four quadrants of the optics. The shutter lets the CCD see or not see the EUV light. 12 Erwin Verwichte - Sun Observation - ASSSP12 Al-filters block out the visible part of the solar spectrum (just as eclipse glasses would). They are mounted on two filter support grids. Extreme-ultraviolet Imaging Telescope (EIT) (Dere et al. 2000). 12398 g 3.65 Wednesday, 5 September 12 AIA/SDO full PSF (Grigis et al 2012) The point-spread function PFS is the shape of a point source at the CCD after it passed through all the optics. This includes entrance and other filter diffraction (remember grid!) and the two mirrors core PSF convolved with a pixel for EIT 304Å bandpass 15 Erwin Verwichte - Sun Observation - ASSSP12 EIT CCD flat-field Extreme-ultraviolet Imaging Telescope (EIT) Wednesday, 5 September 12 where apix is the CCD pixel area and f the telescope focus, which is a function of wavelength Also, integration over the space-angle θ for the pixel can be written as ✓ ◆2 Z apix d✓ = f (x,y) F(x,y) is the CCD flat-field. Not all pixels are of identical quality. with g how many electrons makes one DN. G( ) = 14 Erwin Verwichte - Sun Observation - ASSSP12 G is the gain of the CCD-camera in DN (Digital Number) per photon. In other words, how much image value is a photon worth? Extreme-ultraviolet Imaging Telescope (EIT) LOS ne (T, z) nH (T, z) dz 0 Wednesday, 5 September 12 Z1 EM = DEM(T ) dT and dEM dz DEM = = ne nH or DEM = dT dT T ✓ dz dT ◆ dT O’Dwyer et al. (2010) ne nH TZ +dT The Differential Emission Measure (DEM) is defined as the distribution of emissivity (ne nH) in the line-of-sight as a function of temperature(linear version). EM = Z 17 Erwin Verwichte - Sun Observation - ASSSP12 First, we define the emission EM to be the line-of-sight integration emissivity ne nH (we assume resonance emission line excited by collisions): Extreme-ultraviolet Imaging Telescope (EIT) Wednesday, 5 September 12 Created using CHIANTI where G contains the atomic information of all emission lines (and free). This function is usually much stronger temperature than density dependent. 0 Z1 P ( , ne , T ) = G( , ne , T ) DEM(T ) dT 16 Erwin Verwichte - Sun Observation - ASSSP12 Also, the incident solar flux [photons cm-2 s-1 sr-1 Å-1 ] may be split into the atomic emission line details and the emissivity of the plasma: Extreme-ultraviolet Imaging Telescope (EIT) 0 Wednesday, 5 September 12 Erwin Verwichte - Sun Observation - ASSSP12 19 Because multiple emission lines contribute to H(T), its shape can be multi-peaked. ✓ ◆2 Z1 apix H(T ) = Ae↵,i ( ) G( ) G( , ne (T ), T ) d f Extreme-ultraviolet Imaging Telescope (EIT) Wednesday, 5 September 12 0 Z1 I = H(T ) DEM(T ) dT 18 Erwin Verwichte - Sun Observation - ASSSP12 Putting all together, we can describe the instrument’s response in terms of temperature bandpasses H(T): Extreme-ultraviolet Imaging Telescope (EIT) Wednesday, 5 September 12 ) 284/195 195/171 195/171 ratio I1 H1 (T0 ) = = F12 (T0 ) ) T0 = F121 (I1 /I2 ) I2 H2 (T0 ) Assume the coronal plasma is isothermal, i.e. DEM(T) = EM0 δ(T-T0). Then, I1 = H1 (T0 ) EM0 I2 = H2 (T0 ) EM0 21 Erwin Verwichte - Sun Observation - ASSSP12 We can take the ratio of two bandpasses and in a certain interval of temperature, where the ratio is monotonic and near the peak responses of the two bandpasses, we can estimate the temperature crudely. Temperature bandpass ratio Wednesday, 5 September 12 20 Erwin Verwichte - Sun Observation - ASSSP12 Example of degradation of the CCD. Because the entrance filter grid throws a shadow onto the CCD, those pixels in the shadow have seen less total light and have less degraded. Hence, their gain is higher. In images we see the grid as a bright feature! Extreme-ultraviolet Imaging Telescope (EIT) Wednesday, 5 September 12 22 23 Erwin Verwichte - Sun Observation - ASSSP12 Lemen et al. (2012) An improved time resolution but not dramatically different from TRACE Same spatial resolution as TRACE What advantages does the SDO-era bring? Solar Dynamics Observatory Wednesday, 5 September 12 22 Erwin Verwichte - Sun Observation - ASSSP12 The Atmospheric Imaging Assembly (AIA) on board SDO is the current generation of EUV imager but works on similar principles as EIT but at higher spatial and temporal resolution and with more bandpasses. Solar Dynamics Observatory Wednesday, 5 September 12 Solar Dynamics Observatory Wednesday, 5 September 12 Combination with STEREO is useful for geometry estimates Multiple simultaneous bandpasses: explore phenomena beyond bulk to hot and cool coronal plasma. No SAA occurring just when it is interesting Statistical studies are now only limited by man-power! 24 23 Erwin Verwichte - Sun Observation - ASSSP12 Full-sun FOV and synoptic program means no event will be missed. SDO/AIA can be relied upon for spectroscopic studies 22 Erwin Verwichte - Sun Observation - ASSSP12 An improved time resolution but not dramatically different from TRACE Same spatial resolution as TRACE What advantages does the SDO-era bring? Solar Dynamics Observatory 1 2 ✓ T T0 T ◆ 2 T) Wednesday, 5 September 12 2 = n 1 2 i X Ii noise EM0 hi (T0 , T ) 4) We find the best values of T0 and ΔT, and hence EM0, by minimizing the difference with the observations ✓ ◆ i 3) For every value of T0 and ΔT, we calculate EM0: P Ii i EM0 = P hi (T0 , T ) 0 ✓ ◆ Z1 Hi (T ) 1 T T0 p Ii = EM0 exp dT = EM0 hi (T0 , 2 T 2⇡ T 2) The intensity (DN/s) of each bandpass is then of the form: 26 Erwin Verwichte - Sun Observation - ASSSP12 which in the limit of ΔT ⟶ 0, becomes DEM(T) = EM0 δ(T-T0). 1 DEM(T ) = EM0 p exp 2⇡ T 1) We assume that DEM(T) is of the form: 25 Erwin Verwichte - Sun Observation - ASSSP12 Again, we may estimate single temperature and density in the line-of-sight. DEM method Wednesday, 5 September 12 Combining bandpasses (171,193 and 211) in threecolour channels gives an idea of temperature. Solar Dynamics Observatory j j j i X hij1 Ii Wednesday, 5 September 12 Hannah & Kontar (2012) DEMj = from Ii: However, this inversion is often ill-posed as the information from a limited number of bandpasses is not enough. Careful regularization techniques then need to be employed and image noise taken into account. The problem then becomes a matter of inverting the matrix hij to find 0 where DEMj(T) are known profiles. Then the intensity (DN/s) has the form: 1 XZ X X Ii = Hi (T ) DEMj (Tj ) dT = Hi (Tj ) DEMj (Tj ) = hij DEMj j 28 Erwin Verwichte - Sun Observation - ASSSP12 More formally, you can write DEM(T) as made from many temperature bins: X DEM(T ) = DEMj (Tj ) DEM method Wednesday, 5 September 12 27 Erwin Verwichte - Sun Observation - ASSSP12 Note that this is an approximate method as the DEM(T) is highly idealised. Example from Aschwanden et al. (2011) DEM method Wednesday, 5 September 12 After much rain, the spread is practically uniform. 30 In the beginning, each tile will have much variation of small number of rain spots. Erwin Verwichte - Sun Observation - ASSSP12 Higher signal-to-noise (crisper) Example of constant, uniform rain on the pavement: Photon noise Wednesday, 5 September 12 Lower signal-to-noise (fuzzier) AIA193 The more photons collected the better resolved (crisper) the image becomes. AIA94 29 Erwin Verwichte - Sun Observation - ASSSP12 The measured intensity is subject to errors. It is important to know about to avoid mistakes. An inherent image noise is photon noise (or shot noise). Photon noise I t G( ) d = R I t G( ) d sZ I t = G( )d p I t Poisson distributions as a function of number of occurrences k Wednesday, 5 September 12 The larger the exposure time, the less effect of photon noise. SNR = Hence the signal-to-noise ratio SNR becomes 2 where G(λ) is the gain [DN/photon]. The photon noise then becomes N = R The standard deviation of N photons is σ = √N . Relating back to the formula for image intensity, N relates to I for exposure time ∆t as 31 Erwin Verwichte - Sun Observation - ASSSP12 Photons hitting a CCD pixel are independent random events (similar to rain drops hitting the pavement). The distribution of the photons follows Poisson statistics (for large intensity it becomes Gaussian). Photon noise Wednesday, 5 September 12 After much rain, the spread is practically uniform. 30 Erwin Verwichte - Sun Observation - ASSSP12 In the beginning, each tile will have much variation of small number of rain spots. Example of constant, uniform rain on the pavement: Photon noise 2 photon (I t) + Wednesday, 5 September 12 Example of cosmics Wednesday, 5 September 12 ⇡ p + 2 read + 2 dig + 2.3 + 0.06 I t DN 2 dark (TCCD ) Example: typical AIA 171Å image: = + 2 proc + ... Erwin Verwichte - Sun Observation - ASSSP12 33 Aschwanden et al. (2000), Ding & Nakariakov (2012) 2 comp 5) Processing noise: e.g. de-spiking to remove cosmic-ray hits (sometimes better not to do). 4) Compression noise: to save bandwidth in storing and sending images to Earth, JPEG compression is used. 3) Digitization noise: the signal is converted to an integer (range of power of two), this introduced an uncertainty of σ = 0.5 DN. 2) Read-out noise: in a CCD the signal per pixel (photon-induced electrons) are collected in rows towards one direction. 1) Dark current noise: even if the CCD is un-exposed, the finite temperature induces spurious signals. That is why CCD are cooled. σ = σ(TCCD). 2 32 Erwin Verwichte - Sun Observation - ASSSP12 The processing of the measured light by the electronics is a source of noise. Instrumental noise Wednesday, 5 September 12 Observation Erwin Verwichte - Sun Observation - ASSSP12 35 Extreme UltraViolet Imager (EUVI) Selection of the best data-set for the problem. What temporal, spatial, spectral resolution is there? Typical data-analysis chain Wednesday, 5 September 12 34 Erwin Verwichte - Sun Observation - ASSSP12 measurement of rotation of the Sun using coronal bright points seen by EUVI on board STEREO. We look at an example study of using EIV imaging data: Example of an observational study Enhancement of the feature or event to detect, e.g. background subtraction, running-difference, gradient filters. Filtering Filtering Wednesday, 5 September 12 35 Detection of the feature or event. This can be done in an automated way (objective and scaleable) or by hand (mouse-clicking and tennis arms). Enhancement of the feature or event to detect, e.g. background subtraction, running-difference, gradient filters. Extraction (Segmentation) Selection of the best data-set for the problem. What temporal, spatial, spectral resolution is there? Observation Typical data-analysis chain Erwin Verwichte - Sun Observation - ASSSP12 Selection of the best data-set for the problem. What temporal, spatial, spectral resolution is there? Wednesday, 5 September 12 35 Erwin Verwichte - Sun Observation - ASSSP12 Observation Typical data-analysis chain Enhancement of the feature or event to detect, e.g. background subtraction, running-difference, gradient filters. Filtering 35 Wednesday, 5 September 12 Characterisation of the results: connect to physical quantities, statistical trends and theoretical models. Characterisation (Data-mining) Filtering Detection of the feature or event. This can be done in an automated way (objective and scaleable) or by hand (mouse-clicking and tennis arms). Enhancement of the feature or event to detect, e.g. background subtraction, running-difference, gradient filters. Extraction (Segmentation) Selection of the best data-set for the problem. What temporal, spatial, spectral resolution is there? Erwin Verwichte - Sun Observation - ASSSP12 Observation Typical data-analysis chain Wednesday, 5 September 12 Detection of the feature or event. This can be done in an automated way (objective and scaleable) or by hand (mouse-clicking and tennis arms). Selection of the best data-set for the problem. What temporal, spatial, spectral resolution is there? Extraction (Segmentation) 35 Erwin Verwichte - Sun Observation - ASSSP12 Observation Typical data-analysis chain 35 Erwin Verwichte - Sun Observation - ASSSP12 Wednesday, 5 September 12 Bright points are nice local point-like features (mini active regions) that live long enough and can be used as tracers of the rotation of the Sun. We select a month worth of data from STEREO-A and STEREO-B during solar minimum when there are not many active regions and bright points are clear. Solar rotation using bright points 36 Characterisation of the results: connect to physical quantities, statistical trends and theoretical models. Characterisation (Data-mining) Wednesday, 5 September 12 Detection of the feature or event. This can be done in an automated way (objective and scaleable) or by hand (mouse-clicking and tennis arms). Enhancement of the feature or event to detect, e.g. background subtraction, running-difference, gradient filters. Filtering Extraction (Segmentation) Selection of the best data-set for the problem. What temporal, spatial, spectral resolution is there? Erwin Verwichte - Sun Observation - ASSSP12 Observation Typical data-analysis chain 1 +1 Z I(~r 0 ) ✓ ~r 0 a ~r ◆ d2~r 0 Wednesday, 5 September 12 An original image r2 2 ◆ 38 Erwin Verwichte - Sun Observation - ASSSP12 r2 exp Wavelet transform at four scales Wavelet filtering to enhance bright points Wednesday, 5 September 12 (~r) = ✓ The transform enhances anything that looks like the wavelet at a certain scale a. Here we take the Mexican Hat wavelet, which is of the form: which is basically a 2d convolution of the image with Ѱ(x,y), which is the mother wavelet with the special characteristic that its average is zero. 1 Wa (I)(~r) = 2 a 37 Erwin Verwichte - Sun Observation - ASSSP12 We filter the EUVI images using a two-dimensional wavelet transform: Wavelet filtering to enhance bright points ~r ~r0 p a2 + 2 ◆ Wednesday, 5 September 12 40 Erwin Verwichte - Sun Observation - ASSSP12 Bright points average position is extracted by tresholding the wavelet transform at the optimum scale a. But not all detection are correct (remove cosmics)! Detection of bright-points Wednesday, 5 September 12 I(~r) = I0 + ax + by Also, the wavelet transform removes any background trend (as perceived at scale a) since the transform of the following is zero! For a = σ we find the maximum wavelet amplitude. So we can find the scale of the bright point easily by scanning in a. Also, the transform is still centered on r0, so we have no shifts (Gaussian blurring can induce such). 2 ✓ we find the wavelet back again but with an amplitude that depends on a a2 Wa (I)(~r) = 2⇡A 2 a + 39 Erwin Verwichte - Sun Observation - ASSSP12 If you take the wavelet transform of a bright-point, modeled as a 2d Gaussian: ✓ ◆ (~r ~r0 )2 I(~r) = A exp 2 2 Wavelet filtering to enhance bright points ⌦ = A + B sin2 + C sin4 Wednesday, 5 September 12 ⌦ = A + B sin2 + C sin4 Bright point rotation (not height corrected) 42 Erwin Verwichte - Sun Observation - ASSSP12 And using both STEREO’s we can find the height of the bright-points in the solar atmosphere! Wednesday, 5 September 12 41 Erwin Verwichte - Sun Observation - ASSSP12 Looking at extracted bright-points from different times, their movement on the disk, and hence their siderical rotation rate can be determined! Detection of bright-points Wednesday, 5 September 12 EUVI properties Full disk images (304Å, 171Å, 195Å, 284Å) 1.6 arcsec CCD pixel size Time cadence of 2.5 minutes A 10 min oscillation is visible in the southern loop arcade of an active region on the East limb. • • • 42 43 43 Erwin Verwichte - Sun Observation - ASSSP12 We consider an observation by STEREO/EUVI of a transverse loop oscillation on 26/06/2007 from two vantage points [Verwichte et al. 2009]. Another example of observational study Wednesday, 5 September 12 EUVI properties Full disk images (304Å, 171Å, 195Å, 284Å) 1.6 arcsec CCD pixel size Time cadence of 2.5 minutes A 10 min oscillation is visible in the southern loop arcade of an active region on the East limb. • • • 42 Erwin Verwichte - Sun Observation - ASSSP12 We consider an observation by STEREO/EUVI of a transverse loop oscillation on 26/06/2007 from two vantage points [Verwichte et al. 2009]. Another example of observational study Wednesday, 5 September 12 Suggests observed mode is horizontally polarised fundamental kink mode. With the geometry known we compare simulated oscillations for various polarisations and harmonics with the data. Another example of observational study 42 44 44 Erwin Verwichte - Sun Observation - ASSSP12 Suggests observed mode is horizontally polarised fundamental kink mode. Wednesday, 5 September 12 42 Erwin Verwichte - Sun Observation - ASSSP12 With the geometry known we compare simulated oscillations for various polarisations and harmonics with the data. Another example of observational study Wednesday, 5 September 12 This can be done between two instantaneous views (e.g. STEREO-AIA) or between two times (dynamic stereoscopy). Verwichte et al. 2009, 2010 42 45 46 Erwin Verwichte - Sun Observation - ASSSP12 One may add a model to aid 3d reconstruction. For instance one may assume that a loop is planar (all points in the same plane). Then one adjusts the inclination of the loop plane to find the best match between the two views. This works well for large separation angles between views, but is always approximate. Stereoscopy Wednesday, 5 September 12 Aschwanden, 2009 This does not give a unique solution as we need 3 non co-planar views to have all information. So with STEREO it works well except when structures (such as loop) are oriented in the epipolar plane of STEREO-A, B and Sun. Inhester 2006 42 Erwin Verwichte - Sun Observation - ASSSP12 Stereoscopy means using two view points to reconstruct a 3d picture of a structure if the angle between the views is not too large. Stereoscopy Wednesday, 5 September 12 EUVI-A 171 AIA 171 ~90◦ view separation with STEREO is useful! 42 Example of a vertical TLO 47 Erwin Verwichte - Sun Observation - ASSSP12 The full sun, high-cadence synoptic, multi-wavelength view from AIA/SDO provides rich pickings in oscillation events (>200 events!). The combination with STEREO allows for a good estimate of 3d structure. Another example of observational study