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Figures (1)

Fig. 1
Fig. 1

Relative flux behind sinusoidally oscillating slit with c=1, vibration amplitude D=1, slit width d as shown. Curve 1(a), very narrow slit ( 1 2 d D) with x 0 < D - 1 2 d; curve 1(b) same with x 0 > D - 1 2 d; curves 1(a′) and 1(b′), same as 1(a) and 1(b), respectively, but somewhat wider slit ( 1 2 d < D). Curve 2(a), wide slit ( 1 2 d > D) with x 0 < 1 2 d - D; curve 2(b), same with x 0 > 1 2 d - D.

Equations (6)

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x = D sin k t , v = d x / d t = D k cos k t = k ( D 2 - x 2 ) 1 2 .
I = c / ( D 2 - x 0 2 ) 1 2 ,
I = c [ sin - 1 ( x 0 + 1 2 d / D ) - sin - 1 ( x 0 - 1 2 d / D ) ] ,
I = c cos - 1 ( x 0 - 1 2 d / D ) ,
I = π c ,
I = c cos - 1 ( x 0 - 1 2 d / D ) ,