General Characteristics of the Pore and SMC
Figure 3 shows the observation by Hinode/SOT for the ROI which is marked with a small box in Figure 1(a). A part of the penumbra of the following sunspot with positive polarity in AR11117 can be seen. The pores and SMCs were located at the network near the penumbra of the following sunspot in AR11117 at the disk center. As shown in Figure 3(b), we can identify four strong magnetic field areas with negative polarity as denoted by white plus symbols. As shown in the G-band image of Figure 1(a), two larger magnetic regions correspond to dark features (pores; P1 and P2), while the other two regions (SMCs; S1 and S2) with strong magnetic flux do not show any dark features.
Why do not the SMCs appear dark in the G-band image even though they are similar to the pores in magnetic flux density? A standard explanation by Spruit and Zwaan (1981) is that pores as well as sunspots are dark by inhibition of convection, while smaller flux tubes such as SMCs may not necessarily be dark because of radiative energy input from their hot walls into the evacuated interior. For a similar reason, the filling fraction of magnetic field in a single pixel was proposed as an alternative explanation of the difference between pores and SMCs (Knölker and Schüssler 1988). Morinaga et al. (2008) reported that the filling factor of pores (0.8 – 0.9) is bigger than that of G-band bright points (0.6). We have estimated the mean filling factor values inside our pores by applying the Milne–Eddington (ME) inversion method (Skumanichi and Lites 1987) to our SP data. As a result, we found that the filling factor in pores (0.85 for P1 and 0.84 for P2) is a little bigger than that of SMCs (0.81 for SMC1 and 0.77 for SMC2), being in agreement with these studies.
The line-of-sight velocity in the photosphere deduced from SP data shown in Figure 3 suggests that the tiny pores are surrounded by strong downflows, and are filled with weak downflows inside them. This is consistent with the results of Cho et al. (2010), who suggested that slow downflows inside pores and fast downflows outside may be associated with the formation and maintenance of pores. The downflow channels around the pores and SMCs were well known from previous observations (e.g. Keil et al.
1999; Nagata et al.
2008; Morinaga et al.
2008) and from numerical simulations (Cameron et al.
2007; Spruit 1979).
The pores considered in this study are fairly small (diameter < 2″). The time evolution of tiny pores may be different from ordinary pores so that it might be interesting to investigate how these intense magnetic structures evolve during our observation. Unfortunately, there were no SDO/HMI data and Hinode/SOT Narrow-band Filter Imager data during our observation period, so we could not directly inspect the evolution of the magnetic field. However, we examined the evolution of the pores by using Hinode/SOT-BFI G-band observation. The G-band movie (electronic supplementary material) shows that the pores underwent temporal change in intensity and size, but they did not significantly grow or decay during the observation.
Vertical Motion in the Lower Chromosphere
The Hα line is formed either in chromospheric fibrils or in deep photosphere whereas the Ca ii 8542 Å line samples the layers in between the fibrils and the photosphere (Cauzzi et al.
2008, 2009). Leenaarts et al. (2006) reported that the intensity in the far wings of the Ca ii 8542 Å line is highly sensitive to the presence of magnetic structures. In this study, we determined the line-of-sight velocity by applying the bisector measurement to the line profiles of Hα and Ca ii 8542 Å acquired by FISS. The line profiles of Ca ii 8542 Å (Figure 4(a)) and Hα (Figure 4(b)) are spatially averaged over the FISS FOV as shown in Figure 2. To get the line profile, we applied wavelength correction using the telluric lines as described in the previous section, and then smoothed the spectrum with a 0.1 Å window. The bisector was applied to the wing spectra of the Ca ii 8542 Å and Hα lines, respectively. The dotted lines in Figures 4(b) and 4(d) exhibit curved inverse-C-shaped bisectors, which are in contrast to the regular C-shape of photospheric spectral line bisectors. On the origin of the inverse-C-shape, Uitenbroek (2006) proposed a possibility that it might be the result of upwardly traveling acoustic waves. It should be noted that the inverse-C-shape which was investigated by Uitenbroek (2006) was from the line core of the Ca ii 8542 Å line, while our inverse-C-shape is from the wing of the Ca ii 8542 Å line.
Since the intensity level in the line spectra reflects the formation height as shown in Figure 2 (Cauzzi et al.
2008, 2009), the bisectors measured from the wings of the line represent the Doppler shift at a lower altitude of the atmosphere. In this study, we considered the wavelength ranges of Δλ=1.0 – 2.5 Å in Ca ii 8542 Å, and Δλ=1.9 Å and Δλ=0.5 – 1.2 Å in Hα, respectively.
Figure 5 presents line-of-sight (LOS) velocity maps constructed by using the bisectors at the wings of Ca ii 8542 Å (left) and Hα (right). To obtain the Hα Doppler map, we applied the bisector method to the spectral intensity level near Δλ=2 Å at each pixel and subtracted the reference velocity which is from the spectrum averaged over the whole scan region and added the disk-center average photosphere value (−120 m s−1) given by Martinez Pillet, Lites, and Skumanich (1997). Since one of the purposes of this study is to inspect the LOS velocity change with height (wavelength) from the photosphere to the chromosphere by comparing Hinode/SP and NST FISS observations, we need a reference LOS velocity. We can use the spatially averaged LOS velocity in the chromosphere as the reference velocity, but the averaged velocity in the chromosphere may change with time. It is well known that the granule is on average blue-shifted, so we adopted the disk-center average photosphere value (−120 m s−1) given by Martinez Pillet, Lites, and Skumanich (1997). The Ca ii 8542 Å Doppler map was similarly obtained by using the off-band intensities near Δλ=2.3 Å. Both maps represent the line-of-sight velocity at a lower atmosphere above the photosphere and show similar velocity distribution in general.
As shown in Figure 5, the penumbra shows the blueshift (upflows), while most of the quiet region has redshift (downflows). Pores and SMCs are located at the boundary of the redshift cells. The white contours in Figure 5 showing the level of 1500 gauss (G) delineate the boundaries of strong magnetic patches obtained by Hinode/SP observation, of which spatial resolution is about 0″.2. The effective spatial resolution of the FISS map is about 1″ (Chae et al.
2012), which is similar to the seeing limit at BBSO; therefore the accuracy of the alignment between the NST/FISS and Hinode/SOT is similar to the resolution of the FISS map. As compared with the Hinode/SP Doppler map in Figure 3(d), Figure 5 shows structures larger in scale and therefore the characteristic scales of the velocity field look different. This may be because granule-size photospheric features seen by Hinode/SP disappear in the lower chromosphere, and/or the spatial resolution or sensitivity of NST/FISS is lower than that of Hinode/SP. In both images, we found upflows on the pores and downflows at the SMCs. The upflow areas at the location of the pores in Figure 5 look larger than the photospheric size of pores in the G-band image (Figure 3(a)) and they are slightly shifted in position relative to the pores. It may be related to the expansion of the flux tube, or swaying of it by the ambient horizontal flows in the upper atmosphere.
We inspected the line-of-sight velocity change across the wavelength of the line. As a result, we found that the velocity changes with wavelength in Ca ii 8542 Å but this is not the case in Hα. This is because the Hα line is formed either in chromospheric fibrils or in the deep photosphere whereas the Ca ii 8542 Å line samples the layer between them (Cauzzi et al.
2008, 2009). We speculate that the velocity changes with wavelength seen in Ca ii 8542 Å may reflect an intrinsic property of the vertical flows above the pores/SMCs in the lower chromosphere.
Since we are interested in changes in the flow motion with height above the pores in the lower chromosphere, we investigated the Ca ii 8542 Å line in detail. Figure 6 shows the line-of-sight velocity changes with wavelength from core (Δλ=1.25 Å) to the wing (Δλ=2.35 Å) of Ca ii 8542 Å line. Unlike Figure 5, we subtracted the Doppler velocity averaged over weakly magnetized regions in ROI, since our reference velocity set to the quiet photosphere value at disk center given by Martinez Pillet, Lites, and Skumanich (1997) was not convenient. As a result, the Doppler velocity map looks a little different, and the blueshift on the pores is more prominent in the line-wing image taken at Δλ=2.35 Å as shown in Figure 6(d). We found that redshift is dominant at the line core (Figure 6(a)), while blueshift is dominant at the wing (Figure 6(d)) in general. The red-shifted cells in the penumbra and near the pore and SMC regions reduce their size as one moves to the far-wing wavelengths. If we accept that the bisector reflects the height variation of the Doppler shift, the downflow in the pores turn to the upflow, and the downflow in the SMCs gets slower as one moves from the upper to the lower chromosphere.
Figure 7 presents the line-of-sight velocity change in the pores and SMCs with wavelength. We measured the mean velocities in the circles in Figure 6 at the pores and SMCs as well as in the weak (< 100 G), intermediate, and strong (> 1200 G) magnetic field regions in the ROI. As shown in Figure 7, the velocity in pore P1 (P2) changes from −700 m s−1 (−800 m s−1) at Δλ=2.3 Å to 600 m s−1 (5 m s−1) at Δλ=1.2 Å, namely, increasing with height. The velocity in the SMCs also shows similar change with height but in the opposite sign (red-shifted values). It is also found that the flow velocity in the strong magnetic field regions changes from blueshift to redshift while the flow velocity in the weak and intermediate field regions does not change significantly with height.
Evolution of the Vertical Motion
We inspected temporal variations of LOS velocities in the pores and SMCs during the FISS observation period (26 October 2010, 18:30 – 18:57 UT). Figure 8 shows the time variations of the LOS velocities above pore P1 that were estimated at different wavelengths from the line wing to the core. Note that the wavelength-dependence of the LOS velocity as shown in Figure 7 was maintained throughout the observing time; for example, LOS velocities at Δλ=2.35 Å remained significantly negative and those at Δλ=1.25 Å remained significantly positive. The LOS velocities in fact changed with time, either slowly varying or oscillating, but such changes were not drastic enough to alter the pattern described above. We obtained similar results for the other pore (P2) and the two SMCs. This characteristic of velocity field in the low chromosphere of the pores and SMCs we found is similar to that of the photospheric velocity of pores as was reported by Hirzberger (2003) and Sobotka et al. (2012).
We investigated a dynamic interaction between the magnetic flux tubes (pores and SMCs) and the photospheric gas motion by using the G-band data taken with Hinode/SOT during our observation. For horizontal gas motion in the photosphere, we first aligned G-band images and applied subsonic-filtering to reduce solar oscillation effect and noise. We then applied the nonlinear affine velocity estimator (NAVE) to the successive G-band images and got a first-order surface velocity field including the first derivatives with respect to the horizontal coordinates as described by Chae and Sakurai (2008). The divergence of the velocity was obtained from those first derivatives given by the NAVE technique. We tracked the position of the pores and SMCs using NAVE, as seen in the G-band movie (electronic supplementary material). Finally, we measured the averaged horizontal velocity and divergence within the radius of 0.5″ around the position of the pores and SMCs. The transverse acceleration was derived from the running difference of the averaged horizontal velocity. The LOS velocity in the chromosphere obtained by FISS was similarly averaged inside the pores and SMCs. Figure 9 shows a comparison between the temporal variations of the photospheric gas motion (divergence, transverse velocity, and acceleration) inside the pores and SMCs, and the chromospheric LOS velocity on the pores and SMCs. We found that the shape and brightness of the pores and SMCs observed in the G-band change with time due to their interaction with granular motion, but there is no clear relationship between the physical parameters representing the photospheric gas motion and the chromospheric LOS velocity. No apparent difference in the LOS velocity between the pores and SMCs was found.
The time evolution of pores and SMCs and their interaction with the surrounding gas motions can be thoroughly studied when the structures are stably imaged with high spatial resolution and sensitivity. Unfortunately, the performance of currently working low-order adaptive optics of NST/FISS is not satisfactory in this regard.