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

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1949 SCHLIEREN PHOTOGRAPHY 535 Y should not appreciably overlap the diffraction pattern due to the region a-a as represented by term (c) of (21). The value of y = f4>/a indicates the position of the central maxima of the diffraction pattern due to a-a and represents an upper limit to the half width of a light source of finite size. It is interesting to note in Fig. 13 that a source of half width w =f<l>/a located symmetrically with respect to the optic axis, gives the same contrast for both 0/a = 0.125 X and 0/a = 125A, i.e., C = 0.4, or 2.5 times as much light at maximum intensity as (a) (b) (c) (d) Fig. 9 — Diffraction patterns for optical discontinuities of magnitude 20. at minimum background intensity when the knife-edge extends from — oo to the optic axis. If a < < A or A /a » I, as is usually the case for shock waves, the terms (b) and (c) of (21) can be neglected. The remaining term (a) indicates how the diffraction pattern varies for an optical discontinuity of magnitude10 20. Equation (21) then becomes G(y) = 2 sin i ^ cos ^20 ^) (22) G(y} 0 at 20-^=,. (23)