code: def conjugate_gauss_beams(wavelen, waist_in, waist_out, **kwargs):
      """
      Find the optical setup conjugating the object/image waists.
  
      Parameters
      ==========
  
      wavelen :
          The wavelength of the beam.
      waist_in and waist_out :
          The waists to be conjugated.
      f :
          The focal distance of the element used in the conjugation.
  
      Returns
      =======
  
      a tuple containing (s_in, s_out, f)
      s_in :
          The distance before the optical element.
      s_out :
          The distance after the optical element.
      f :
          The focal distance of the optical element.
  
      Examples
      ========
  
      >>> from sympy.physics.optics import conjugate_gauss_beams
      >>> from sympy import symbols, factor
      >>> l, w_i, w_o, f = symbols('l w_i w_o f')
  
      >>> conjugate_gauss_beams(l, w_i, w_o, f=f)[0]
      f*(1 - sqrt(w_i**2/w_o**2 - pi**2*w_i**4/(f**2*l**2)))
  
      >>> factor(conjugate_gauss_beams(l, w_i, w_o, f=f)[1])
      f*w_o**2*(w_i**2/w_o**2 - sqrt(w_i**2/w_o**2 -
                pi**2*w_i**4/(f**2*l**2)))/w_i**2
  
      >>> conjugate_gauss_beams(l, w_i, w_o, f=f)[2]
      f
      """
      # TODO add the other possible arguments
      wavelen, waist_in, waist_out = map(
          sympify, (wavelen, waist_in, waist_out)
      )
      m = waist_out / waist_in
      z = waist2rayleigh(waist_in, wavelen)
      if len(kwargs) != 1:
          raise ValueError(
              "The function expects only one named argument"
          )
      elif "dist" in kwargs:
          raise NotImplementedError(
              filldedent(
                  """
              Currently only focal length is supported as a parameter"""
              )
          )
      elif "f" in kwargs:
          f = sympify(kwargs["f"])
          s_in = f * (1 - sqrt(1 / m**2 - z**2 / f**2))
          s_out = gaussian_conj(s_in, z, f)[0]
      elif "s_in" in kwargs:
          raise NotImplementedError(
              filldedent(
                  """
              Currently only focal length is supported as a parameter"""
              )
          )
      else:
          raise ValueError(
              filldedent(
                  """
              The functions expects the focal length as a named argument"""
              )
          )
      return (s_in, s_out, f)
  
imports: from sympy.core.expr import Expr
  from sympy.core.numbers import I, pi
  from sympy.core.sympify import sympify
  from sympy.functions.elementary.complexes import im, re
  from sympy.functions.elementary.miscellaneous import sqrt
  from sympy.functions.elementary.trigonometric import atan2
  from sympy.matrices.dense import Matrix, MutableDenseMatrix
  from sympy.polys.rationaltools import together
  from sympy.utilities.misc import filldedent
label_desc: Use image node_id 6 for calling a global function with example usage: conjugate_gauss_beams(wavelen, waist_in, waist_out) and returns: s_in,  s_out,  f