Journal of the Society of Motion Picture Engineers (1930-1949)

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1949 SCHLIEREN PHOTOGRAPHY 529 In general, the modification function g'(y) is similar to that shown in Fig. 4. g'(y) = 0 oo < y < yi g'(y) = 1 yi < y< + °°. (9) The modified diffraction pattern is then given by g(y} = gW X G(y}. (10) From (8) h(z] = const yi^ g(y}e~ik*(z-)dy. (11) Combining (7), (8), and (10) Ate) = const yi^ /(a) cte yi". 0'(y)ett*(*-*>dy. (12) From Figs. 1 and 2 a = y/f ao = «>//o then (2) becomes However, since in most systems / = /0, 3>(z) = j(w y). (13) If (13) and (9) are substituted for $(x) and g'(y) in (12) where (15) on integrating (14) (16) Equation (15) indicates that the effect of varying the light source and knife-edge position are complementary and that either or both operations produce the same result as adding an optical wedge of angle (w + yi) //to the disturbance /(#). To find the effect of a light source of finite size, rather than a point source one must integrate a function h(z, w) over the dimensions —wto +w of the light source. This is best done by solving h(z) for several