-lintegral: computes line integrals

This section computes the integral

$$\int F \exp(j \omega s / (\beta c_0)) \; ds.$$

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 # Flags: nomenu, noprompt, nomessage,                                        #
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 # section: -lintegral                                                        #
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 # symbol    = e_1                                                            #
 # quantity  = e                                                              #
 # solution  = 1                                                              #
 #                                                                            #
 # direction = z                                                              #
 # component = z                                                              #
 # startpoint= ( 0.0, 0.0, -1.0e+30 )                                         #
 #    (used) : ( @x0: undefined, @y0: undefined, @z0: undefined )             #
 # length    = auto                                                           #
 #    (@length) : undefined                                                   #
 # beta      = 1.0                                                            #
 # frequency = auto                     -- [auto | Real]                      #
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 # @vreal= undefined        @vimag= undefined       @vabs= undefined          #
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 # doit, ?, return, end, help, ls                                             #
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• symbol= QUAN_ISOL:
  This is the full name of the symbol to be processed.
• quantity= QUAN:
  This is the first part of the "symbol".
• solution= ISOL:
  This is the last part of the "symbol", the index of the "symbol".

• direction= [x|y|z]:
  The cartesian direction along which the integral shall be performed.
• component= [x|y|z]:
  The cartesian component that shall be integrated.
• startpoint= ( X0, Y0, Z0 ):
  Integration starts from this point.
• length:
  Possible values are auto, or a real number.
  If length= auto, the integral is performed from the startpoint to the end of the computational domain (in direction-direction).
• beta:
  The value of $\beta$ in the formula $\int F \exp(j \omega s / (\beta c_0)) \; ds$. If you are interested in computing $\int F \; ds$, then choose beta as a very large number, say 1e+10.
• frequency:
  If "auto", the frequency is taken from the dataset. If frequency is specified as a number, that value is taken for the integrand.
• doit:
  The integral is performed, the results are shown in the menu. The value of the integral is also accessible as the symbolic variables @vreal, @vimag, @vabs. The length of the used integration path is accessible as the variable @length. The coordinates of the used startpoint are accessible as @x0, @y0, @z0.