Each file represents data files in the manuscript. All the figures have their associated files except figure 4 which can be viewed as picture, Figure 5 which will be provide.

The figures are explanatory. The .txt files have the x an  y labels in the header of the files
As for the h5 files, I describe how to get into it with an example if one wants to see what is Fig9b.h5, 

Please type
 h5disp('Fig9b.h5')
HDF5 Fig9b.h5 
Group '/' 
    Group '/Plot1' 
        Attributes:
            'XLabel1':  'Time rel. L-H [ms]'
        Group '/Plot1/Data1' 
            Attributes:
                'StructPath':  's.hgS_070000.children(2).children(1).properties'
                'Color [r g b]':  0.000000 0.000000 1.000000 
                'DisplayName':  '(I_{rms}/I_{mean})^2'
                'LineWidth':  2.000000 
            Dataset 'XData' 
                Size:  1x795
                MaxSize:  1x795
                Datatype:   H5T_IEEE_F64LE (double)
                ChunkSize:  []
                Filters:  none
                FillValue:  0.000000
            Dataset 'YData' 
                Size:  1x795
                MaxSize:  1x795
                Datatype:   H5T_IEEE_F64LE (double)
                ChunkSize:  []
                Filters:  none
                FillValue:  0.000000
        Group '/Plot1/Data2' 
            Attributes:
                'StructPath':  's.hgS_070000.children(2).children(2).properties'
                'Color [r g b]':  0.000000 1.000000 0.000000 
                'DisplayName':  '100 \times (<{v}_{\theta}>/c_s)^2'
                'LineWidth':  2.000000 
            Dataset 'XData' 
                Size:  1x795
                MaxSize:  1x795
                Datatype:   H5T_IEEE_F64LE (double)
                ChunkSize:  []
                Filters:  none
                FillValue:  0.000000
            Dataset 'YData' 
                Size:  1x795
                MaxSize:  1x795
                Datatype:   H5T_IEEE_F64LE (double)
                ChunkSize:  []
                Filters:  none
                FillValue:  0.000000


To convert the files to figures ... you can use https://github.com/arichar6/matlabfig2matplotlib