Page 150 - Phase Space Optics Fundamentals and Applications
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The Radon-Wigner Transform     131


                 1000                         1000
                        W = 0                  750  W = λ/2
                         40
                                                      40
                                                      α = 0°
                 Irradiance (a.u.)  500        500
                         α = 0°
                  750
                  250

                    0                          250 0
                   15                          15
                        W = 0                       W = λ/2
                         40
                                                      40
                                                      α = 0.012°
                         α = 0.012°
                 Irradiance (a.u.)  10 5       10 5



                    0                           0
                    8                           8
                        W = 0                   6   W = λ/2
                                                      40
                         40
                                                      α = 0.024°
                         α = 0.024°
                 Irradiance (a.u.)  4           4
                    6



                    0 2                         2 0
                    –4.0  –2.0  0.0  2.0  4.0    –4.0  –2.0  0.0  2.0  4.0
                                    Defocus coefficient: W  (μm)
                                                     20
               FIGURE 4.12 Irradiance values provided by system II, as in Fig. 4.11.



               the numerical calculation for system I, when two different values of
               the SA are considered. The same results applied now to system II are
               presented in Fig. 4.12.
                 The analysis of these pictures shows that the results obtained with
               the RWT method match closely those obtained with the classic tech-
               nique. In fact, both results differ by less than 0.03 percent. However,
               the RWT is much more efficient in this computation process. This is
               so because the basic RWT does not require recalculation for any point
               in each of the curves. This is also true for any amount of SA. Obvi-
               ously, the greater the number of observation points, or SA values, that
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