Example 18.  The conformal mapping  [Graphics:Images/ConformalMapDictionary.2_gr_38.gif].
The image of the vertical strip  [Graphics:Images/ConformalMapDictionary.2_gr_39.gif]  is the w-plane slit along the two rays [Graphics:Images/ConformalMapDictionary.2_gr_40.gif] and [Graphics:Images/ConformalMapDictionary.2_gr_41.gif].

[Graphics:Images/ConformalMapDictionary.2_gr_42.gif]    [Graphics:Images/ConformalMapDictionary.2_gr_43.gif]

 

 

[Graphics:../Images/ConformalMapDictionary.2_gr_44.gif]                        [Graphics:../Images/ConformalMapDictionary.2_gr_45.gif]

 

                            

 

[Graphics:../Images/ConformalMapDictionary.2_gr_48.gif]    [Graphics:../Images/ConformalMapDictionary.2_gr_49.gif]

 

[Graphics:../Images/ConformalMapDictionary.2_gr_50.gif]        [Graphics:../Images/ConformalMapDictionary.2_gr_51.gif]

    

[Graphics:../Images/ConformalMapDictionary.2_gr_52.gif]     [Graphics:../Images/ConformalMapDictionary.2_gr_53.gif]
            Figure 5.7  Vertical segments mapped onto hyperbolas by  [Graphics:../Images/ConformalMapDictionary.2_gr_54.gif].

 

Details 18.

 
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(c) 2008 John H. Mathews, Russell W. Howell