function sato_mother_xL, n, d, xL

;  Given a number of points and a spacing, return an
;  array of the wavelet values and the
;  array of spatial positions for the
;  mother wavelet for use with the refractivity.

  dn = d * n
  xL=[findgen(n/2)-n/2,findgen(n/2)] * d
  
  psihatL=sato_mother_wL(n, d, wL)
  psiL=shift(float(fft( shift(psihatL,n/2)/dn, /inverse)),n/2)

  return, psiL
  
end

pro sato_mother_xL_test

  n = 256
  d = 8./n
  psihatL = sato_mother_wL(n, d, wL)
  psiL = sato_mother_xL(n, d, xL)
  window, 0, xs=1000,ys=500
  !p.multi=[0,2,0]
  plot, xL, psiL, xr=[-5,5], yr=[-1.5, 1.5], /xs,/ys
  plot, wL, abs(psihatL), xr=[-10,10], yr=[0,1.2], /xs,/ys

end