Weekly Report 24Sep2010

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Pixon Images with Detector Sensitivity Corrections from Visibility Forward Fit

The following was done by creating an image of the 5 arcsec source near the limb with an albedo contribution using the visibility forward fit algorithm. A single elliptical source was used as the model. The corrections to the detector sensitivities generated by visibility forward fit were then used with the Pixon algorithm to create a Pixon image from the same eventlist.


The following plot shows a fit to the visibilities generated by visibility forward fit for an elliptical source.

A plot of the visibilities generated from the data set with the fit to those visibilities using the visibility forward fit algorithm.

The fit to the visibilities shown above was used to create the reconstructed image. The C statistics for the reconstructed image are shown in the table below, along with the total C statistic just below the table.

Detector D1 D2 D3 D4 D5 D6 D7 D8 D9
C Statistic130.071 125.136 78.9797119.233 98.152 196.335 334.414 634.593 1328.47

Total C Statistic : 163.983

From the table above we can see that when constructing the image using visibility forward fit, the best image has very large C statistics. This may be due to the fact that only a single elliptical source was used to create the image. The original data also contains an extended albedo source which was not imaged by visibility forward fit. I am testing this by trying to create an image with two sources, one for the compact elliptical source and one for the extended source. So far using the combination of sources has not yielded a good fit because the parameters in the fit to the extended source are reaching their allowed limits, causing no actual image to be made. I'm going to try to fix this using my knowledge of the original data set to create an image using zero iterations, but good starting parameters to see if I can get an estimate of the C statistic with the two source fit.

The plot below shows the profile in the Heliocentric X direction of the visibility forward fit image and the original data map. The original data map has been scaled so the peak matches the peak of the visibility forward fit image.

The visibility forward fit profile along the Heliocentric X direction along with the profile for the original data map.

The profiles above show the cause of the large C statistic with visibility forward fit. The algorithm uses a single elliptical gaussian as a model. It is only capable of fitting a symmetric elliptical gaussian to the data. In this case the actual data is not symmetric, because of the foreshortening effect it has a shoulder toward disk center. The fit is just symmetric around the peak so it misses the falloff of the original source in both directions,due to their asymmetry. This causes the large C statistics as the original data and the fit are extremely different away from the peak.

The correction factors for the detector sensitivities are shown in the table below. The sensitivities were taken from the visibility forward fit image and used in the Pixon image.

Detector D1 D2 D3 D4 D5 D6 D7 D8 D9
Correction Factor0.9883180.923258 0.9811211.02173 0.9922341.025961.01303 1.03640 1.02823

The plot below shows the profile of the Pixon image using the detector sensitivity corrections from visibility forward fit along with the profile for the Pixon image with no correction. The profile of the original data is included as well.

The profile along the Heliocentric X direction of the image profiles for a Pixon image with detector sensitivity corrections, with no corrections, and the original data map.

The profile with the sensitivity correction falls off slightly more rapidly than the profile without any correction. They both fall off much less rapidly than the original data map does. The C statistics for the fit with the modified detector sensitivities are below.

Detector D1 D2 D3 D4 D5 D6 D7 D8 D9
C Statistic1.124 1.1341.113 1.1131.120 1.245 1.221 1.62321 2.10371

Total C Statistic: 1.13950

The C statistics with the correction factors are much smaller than the C statistics without these factors, as shown in the last report. Looking at the profiles it seems that the difference should not be so large.

The values of the C statistic and profiles for the fit with Pixon and the sensitivity correction for the detectors are below. These are the profiles the Pixon algorithm generates on the fly as it is creating the image.

The final profile fits generated by the Pixon algorithm on the fly while creating the image.

The obvious takeaway from these plots is the value of the C statistic is different than the C statistics from the object. I've tried to track this down but it looks to me that these values should be coming from the same place. I'm continuing to try and figure out where the difference is coming about. I also tried a test where I set all the correction factors to values of 1.0. This should be the equivalent of using no sensitivity correction. Doing this yields the same C statistics as shown above. It seems that just setting the sensitivity correction to any value leads to this issue.

Adding Content to the new RHESSI Website

I've continued to add content to the new RHESSI site. We had some preliminary discussions about linking to documentation currently on the old site. The conclusion was that we will link to a single document from all places (the website, the wiki, the old site, etc.) so all documentation only needs to be updated in one place. I also worked on the documentation for website editors. I need to finish adding screen shots of the editor. This will be added to the new RHESSI site as a page that only be accessed by users with a password.

xrt_test issues on hesperia

Dominic Zarro and Laszlo etesi did the debugging on the problems with xrt_prep. I helped by changing things on hesperia that they did not have permission to do, such as running manual ssw updates upon request.


Goals for next week

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