mk1dspec: Make/add artificial 1D spectra

Package: artdata

Usage

mk1dspec input

Parameters

input
Spectra to create or modify.
output = ""
Output spectra when modifying input spectra. If no output spectra are given then existing spectra in the input list are modified directly. If an output list is given then it must match in number the input list.
ap = 1
Image line to be created or modified in images of dimension greater than 1.
rv = 0.
Radial velocity (km/s) or redshift, as selected by the parameter z, applied to line positions and continuum. Velocities are converted to redshift using the relativistic relation 1+z = sqrt ((1+rv/c)/(1-rv/c)). Note the shift is not a shift in the dispersion parameters but in the underlying artificial spectrum.
z = no
Is the velocity parameter a radial velocity or a redshift?

WHEN CREATING NEW SPECTRA

title = ""
Image title to be given to the spectra. Maximum of 79 characters.
ncols = 512
Number of columns.
naps = 1
Number of lines or apertures.
wstart = 4000., wend = 8000.
Starting and ending wavelengths in Angstroms. The dispersion is determined by these values and the number of columns.

CONTINUUM PARAMETERS

continuum = 1000., slope = 0.
Continuum of the starting wavelength at rest and the slope of the continuum.
temperature = 5700.
Blackbody continuum temperature in Kelvin. A value of 0 is used if no blackbody continuum is desired. The intensity level is set by scaling to the continuum level of the starting wavelength at rest.
fnu = no
Compute the continuum as flux per unit frequency (F-nu) if yes or flux per unit wavelength (F-lambda) if no.

LINE PARAMETERS

lines = ""
List of spectral line files. Spectral line files contain lines of rest wavelength, peak, profile type, and widths (see the DESCRIPTION section). The latter parameters may be missing or INDEF in which case they default to the task peak, profile, gfwhm, and lfwhm parameters (note that the peak parameter is not a constant but the random number scaling). If no file or a new (nonexistent) file is specified then a number of random lines given by the parameter nlines is generated. If a new file name is specified then the lines generated are recorded in the file. If the list of spectral line files is shorter than the list of input spectra, the last spectral line list file is reused.
nlines = 0
If no spectral line file or a new file is specified then the task will generate this number of random spectral lines. The rest wavelengths are uniformly random within the limits of the spectrum, the peaks are uniformly random between zero and the value of the peak parameter, the profile type is given by profile, and the widths are fixed at the values of the gfhwm ad lfwhm parameters. If a redshift is applied the rest wavelengths are shifted and repeated periodically.
profile = "gaussian" (gaussian|lorentzian|voigt)
The default profile type for random lines or when not specified in the spectral line file. The profile types are:
  gaussian - Gaussian profile
lorentzian - Lorentzian profile
     voigt - Voigt profile
peak = -0.5
The maximum spectral line peak value when generating random lines or when the peak is missing from the spectral line file. This value is relative to the continuum unless the continuum is zero. Negative values are absorption lines and positive values are emission lines.
gfwhm = 20., lfwhm = 20.
The default gaussian and lorentzian full widths at half maximum (FWHM), in Angstroms, used when generating random lines or when the widths are missing from the spectral line file.
seed = 1
Random number seed. If a value of "INDEF" is given then the clock time (integer seconds since 1980) is used as the seed yielding different random numbers for each execution.
comments = yes
Include comments recording task parameters in the image header?

PACKAGE PARAMETERS

nxsub = 10
Number of pixel subsamples used in computing the gaussian spectral line profiles.
dynrange = 100000.
The gaussian line profiles extend to infinity so a dynamic range, the ratio of the peak intensity to the cutoff intensity, is imposed to cutoff the profiles.

Description

This task creates or modifies one dimensional spectra. with a combination of blackbody and linear sloped continuum and emission and absorption spectral lines. The spectral lines may be gaussian, lorentzian, or voigt profiles. A velocity shift may be applied to the underlying artificial spectrum which is shifted into the specified observed wavelength region. No noise is included but may be added with the task mknoise. New spectra are created with the specified number of pixels, wavelength range, and real datatype. When nlines is greater than 1 then an image with the specified number of lines is created though only the line given by the ap is will have a spectrum. Existing spectra may be modified in place or new spectra output. Spectra are modified by adding the continuum and lines defined by the parameters.

For new images a set of header keywords may be added by specifying an image or data file with the header parameter (see also mkheader). If a data file is specified lines beginning with FITS keywords are entered in the image header. Leading whitespace is ignored and any lines beginning with words having lowercase and nonvalid FITS keyword characters are ignored. In addition to this optional header, parameters for the wavelength coordinates are defined. Finally, comments may be added to the image header recording the task parameters and any information from the line file which are not line definitions.

Initially all spectra are created without a dispersion function; i.e. pixel coordinates. For multiple spectra in an image this task must be executed for each image line to set the dispersion function and add data. When an image line is selected if it has a defined dispersion function that is used otherwise the task wavelength parameters are used.

A continuum is defined by the value at the starting wavelength at rest, a slope, and a blackbody function of a given temperature. The blackbody function is scaled to have the specified continuum value at the starting wavelength at rest. The blackbody flux units are per unit wavelength (F-lambda). A zero continuum value or a zero temperature will not produce a blackbody continuum.

Spectral lines are modeled by gaussian, lorentzian, or voigt profiles of specified wavelength, peak, and widths. The lines are defined in a spectral line file or generated randomly. A spectral line file consists of text lines giving rest wavelength, peak, profile type, gaussian full width at half maximum and/or lorentzian full width at half maximum. Only the wavelength is required and subsequent fields may be missing or given as INDEF. The following table shows the possible formats where wavelength, peak, gfwhm, and lfwhm are values of wavelength, peak, gaussian FWHM, and lorentzian FWHM. The profile types are as shown though they may be abbreviated to one character.

wavelength
wavelength peak
wavelength peak gaussian
wavelength peak gaussian gfwhm
wavelength peak gaussian gfwhm
wavelength peak lorentzian
wavelength peak lorentzian lfwhm
wavelength peak lorentzian lfwhm
wavelength peak voigt
wavelength peak voigt gfwhm
wavelength peak voigt gfwhm lfwhm
wavelength peak voigt gfwhm lfwhm

When a field is missing or INDEF the values given by the parameters peak, profile, gfwhm, and lfwhm are used. If a peak value is missing, random values between zero and the peak value are generated. Note that to get random line intensities with some specified profile type and widths the value INDEF would be used for the peak field.

If no spectral line file is specified or a new (nonexistent) file is named then the number of random lines given by the parameter nlines is generated. The rest wavelengths are uniformly random within the wavelength range of the spectrum and extend periodically outside this range in the case of an applied velocity shift, the peaks are uniformly random between zero and the peak parameter, and the profile type and widths are given by the profile, gfwhm, and lfwhm parameters. If a new file is named then the parameters of the generated lines will be output.

The peak values are taken relative to a positive continuum. In other words the generated line profile is multiplied by the continuum (with a minimum of zero for fully saturated absorption lines). If the continuum is less than or equal to zero, as in the case of an artificial arc spectrum or pure emission line spectrum, then the peak values are absolute intensities. Positive peak values produce emission lines and negative values produce absorption lines. Odd results will occur if the continuum has both positive and zero or negative values.

The underlying rest spectrum may be shifted. This is used primarily for testing radial velocity measuring algorithms and is not intended as a complete model of redshift effects. The starting and ending wavelengths are not changed by redshifting; these are the instrumental observed wavelengths. Input line wavelengths are specified at rest and then shifted into or out of the final spectrum. To be realistic the line list should include wavelengths over a great enough range to cover all desired redshifts. The peaks and widths are also appropriately modified by a redshift. As an example, if the redshift is 1 the lines will appear broader by a factor of 2 and the peaks will be down by a factor of 2 in order to maintain the same flux.

The random line generation is difficult in that one wants to have the same set of lines (for a given seed) observed at different redshifts. What is done is that the specified number of random lines is generated within the observed wavelength interval taken at rest. This set is then repeated periodical over all wavelengths. A redshift will then shift these rest lines in to or out of the observed spectrum. If the lines are output, they are given at rest. Note that this periodicity may be important in interpreting cross correlation redshift tests for large shifts between template and object spectra.

The definitions of the continuum are also affected by a redshift. The reference point for the continuum level, slope, and blackbody continuum is the starting wavelength taken at rest. Shifts will then modify the continuum level at the first pixel appropriately. In particular a large redshift will shift the blackbody in such a way that the flux is still given by the continuum parameter at the starting wavelength at rest.

Examples

1. Create a simple blackbody continuum between the default wavelengths.

cl> mk1dspec bb title=Blackbody

2. Create a random absorption spectrum on a blackbody continuum without saving the line list.

cl> mk1dspec bbab title=Absorption nlines=100

3. Create a random absorption spectrum with noise and cosmic rays.

cl> mk1dspec bbab title=Absorption nlines=100
cl> mknoise bbab rdnoise=10 poisson+ ncos=5 energy=1000

4. Create a random emission spectrum on a blackbody continuum and save the line list.

cl> mk1dspec bbem title=Emission nl=30 peak=0.6 lines=bbem.dat

5. Create an artificial random arc line spectrum.

cl> mk1dspec arc title="Arc lines" cont=0 peak=500 nl=30

6. Create a test spectrum with a line list.

cl> type linelist
4100 -.1 g 20
4200 -2. g 20
4300 -.3 g 20
5100 -.9 g 2
5200 -.9 g 4
5300 -.9 g 8
6700 .9 g 8
6800 .9 g 2
6900 .9 g 4
7700 .3 g 20
7800 .2 g 20
7900 .1 g 20
cl> mk1dspec testspec title=Test cont=500 temp=0 lines=linelist

7. Add absorption lines to a spectrum.

cl> mk1dspec bb out=artspec cont=0 lines=STDIN
4300 -60
5000 -200
[EOF]

Normally the input spectrum would be a real spectrum.

8. Make two spectra taken from the same set of random lines but differing in redshift.

cl> mk1dspec restspec nl=30
cl> mk1dspec redspec rv=3000 nl=30
cl> mk1dspec bluespec rv=-.01 z+ nl=30

9. Make a multispec image with 5 apertures and a range of redshifts.

cl> mk1dspec spec.ms ap=1 nl=30 rv=0 naps=5
cl> mk1dspec spec.ms ap=2 nl=30 rv=1000
cl> mk1dspec spec.ms ap=3 nl=30 rv=2000
cl> mk1dspec spec.ms ap=4 nl=30 rv=3000
cl> mk1dspec spec.ms ap=5 nl=30 rv=4000

Revisions

MK1DSPEC V2.11+
The random number seed can be set from the clock time by using the value "INDEF" to yield different random numbers for each execution.
MK1DSPEC V2.11
Lorentzian and Voigt profiles were added and the parameters and input line list format were changed. The widths are now FWHM instead of gaussian sigmas.
MK1DSPEC V2.10.3
The format parameter was eliminated and the task updated to produce the current coordinate system format.

See also

mknoise, mk2dspec, mkheader, onedspec.sinterp