Sylvain G. Korzennik | About | Research | CV & LoP | HPC@SI

Medium-ℓ Tables

Introduction

This Google drive directory stores the tables resulting from my fitting to the GONG, MDI and HMI observations at low and medium degrees (0 ≤ ℓ ≤ 200|300) for all the data available to date (Korzennik, 2005, 2008a, 2008b, 2023; [ADS: 2005ApJ...626..585K, 2008AN.…329..453K, 2008JPhCS.118a2082K, 2023FrASS…931313K]).

The primary tables list the individual mode frequencies, line-widths, asymmetries and amplitudes. Derived tables list multiplets mode frequencies, line-widths, asymmetries and amplitudes as well as Clebsch-Gordan coefficients, after performing a fit to 6, 9, 18 or 36 coefficients.

All the tables are plain ASCII files, the file formats are described in the following documents:

• singlets: singlets.txt
• multiplets: multiplets.txt
• cg-coefs & js-coefs: coefs.txt

These ASCII files are also consolidated in tar-compressed sets (up to 20 files in each .tgz set) for convenience (fewer & faster downloads).

Almost all the tables have been converted to the Stanford format and ingested into the password protected JSOC (aka JSOC2) using Schou's m10qr file format. These are su_sylvain data series, and are available here as well.

Temporal Coverage and Time-series Lengths

Time-series of various lengths have been fitted, namely 36, 72, 144, etc., up to 128x 72 day-long ones, as well as 5x 72 and 10x 72 day-long ones.

The 36, 72 and 360 day-long series are offset in time by a multiple of their respective lengths (no overlap), while all the other ones (144, 288, etc., up to 128x 72 day-long and the 720 day-long) are offset by a multiple of half their respective lengths (50% overlap).

All the time-series start at a time aligned with respect to MDI mission day #1216 (1996.05.01), hence the same epochs are always fitted for each instrument. Although for a few of the long time-series, there is an additional offset and alignment is different (aka 32x, that starts at #6400, not at #6976, i.e., an 8x 72d offset instead of the 16x 72d one).

Start Dates

• First & last available start dates - as of Mar 21 2024

• Numbers preceeded by # are MDI mission day no. (#1216 is 1996.05.01)

Organization

Files are organized as follows:

Instrument: GONG, MDI or HMI
    ↳ time-series length – [peak profile] – leakage matrix
        ↳ type of tables
            ↳ number of CG coefficients fitted

Time-series length – [peak profile] – leakage matrix

Types of Tables

Number of Coefficients

Leakage Matrices

GONG

I have used several leakage matrices:

1. The one provided by J. Schou, for GONG and for Bo=0 [jsBo=0].
2. Two variants I computed, for GONG, and for Bo=0:
   1. without any PSF [skBo=0].
   2. with a PSF, based on the mean MTF derived by HGEOM [skBo=0+psf].
3. Two variants I computed, for GONG, and for Bo=√<|Bo|2>:
   1. without any PSF [skBo=a2].
   2. with a PSF (as above). [skBo=a2+psf].

In the case of my leakage matrices, the upgrade of the GONG detector from a medium-resolution CCD, with rectangular pixels, to a high-resolution one with square pixels is taken into account. Since not all instruments were upgraded simultaneously, some epochs were fitted with a weighted average of the leakage matrix corresponding to pre and post detector upgrade.

MDI

I have used three leakage matrices:

1. The one provided by the MDI team (JS) for the Structure data, and for Bo=0 [jsBo=0].
2. One I computed, for the Structure data, and Bo=0 [skBo=0].
3. One I computed, for the Structure data, and the mean Bo for that epoch [skBo=a].

The skBo=a leakage matrix was used only for the 02e & 04e time-series, since for longer ones, the mean Bo is almost 0.

HMI

I have used three leakage matrices:

1. The one provided by the HMI/MDI team for full disk data, and for Bo=0 [jsBo=0].
2. Two I computed, for HMI:
   1. for Bo=0 [skBo=0].
   2. for Bo=√<|Bo|2> [skBo=a2].

All HMI tables correspond to VERSION=1 of the spherical harmonic decomposition performed by Stanford (i.e., includes the Carrington elements correction).

Note:

The skBo=a cases are not equivalent to the skBo=a2 cases:

• skBo=a means using a leakage matrix computed for the mean value of Bo over the time-series for each epoch - computed for 144-day and 244-day long MDI only.
• skBo=a2 means using a leakage matrix computed for the mean value of Bo=√<|Bo|2> over one year - computed for the 32x 72d cases for GONG & HMI.

Plots

I've produced some plots, that illustrate the content of these tables:

• Statistics on fitting, i.e., the number of modes fitted for each segment, and gaps info:
  • GONG, MDI & HMI fitting;
  • MDI & HMI fitting (or a subset);
  • GONG fitting, (gap-filled).
• Mean frequency changes (raw or scaled) with time and activity, for GONG, MDI & HMI tables, resulting from my fitting (SGK) and the respective project fitting methods (NSO/SU), using either a symmetric or asymmetric peak profile:
  • <δν>, i.e., unscaled frequency changes; (or limited to ℓ ≤ 150);
  • <δν Q>, where Q is the relative mode mass; (or limited to ℓ ≤ 150);
  • <δν Q / Γ>, where Γ is the mode line-width (or limited to ℓ ≤ 150);
• The range in degree, ℓ, for the averaging is either the fitted range (ℓ ≤ 150, 200, 300) depending on the data set and the origin of the fitting, or has been limited to the range fitted by all (ℓ ≤ 150).
• The numbers within parentheses on the lower panels are the intercept and slope (x 1000) of the regression with respect to the solar activity index (F10.7).

Direct Links to the Tables

I compiled a set of pages that allows you to jump directly to the tables:

Remember, Google Drive allows you to select which files you want to download, or you can use the tgz sets to speed up the download.

At JSOC (i.e., JSOC2)

• Names of series and number of sets for each fitted length and mode profile type:

• Other available series, using SGK’s leakage matrices: