![]() ![]() Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License. Use the information below to generate a citation. Then you must include on every digital page view the following attribution: If you are redistributing all or part of this book in a digital format, Then you must include on every physical page the following attribution: If you are redistributing all or part of this book in a print format, Want to cite, share, or modify this book? This book uses the Referring back to part (a) of the figure, θ θ is typically small enough that sin θ ≈ tan θ ≈ y m / D sin θ ≈ tan θ ≈ y m / D, where y m y m is the distance from the central maximum to the mth bright fringe and D is the distance between the slit and the screen. Small d gives large θ θ, hence, a large effect. This is consistent with our contention that wave effects are most noticeable when the object the wave encounters (here, slits a distance d apart) is small. For fixed λ λ and m, the smaller d is, the larger θ θ must be, since sin θ = m λ / d sin θ = m λ / d. We can see this by examining the equationĭ sin θ = m λ, for m = 0, ± 1, ± 2, ± 3 … d sin θ = m λ, for m = 0, ± 1, ± 2, ± 3 …. The closer the slits are, the more the bright fringes spread apart. For vertical slits, the light spreads out horizontally on either side of the incident beam into a pattern called interference fringes ( Figure 3.8). The equations for double-slit interference imply that a series of bright and dark lines are formed. (b) The path difference between the two rays is Δ l Δ l. Behind the screen was a detector for the light that passed through. Figure 3.7 (a) To reach P, the light waves from S 1 S 1 and S 2 S 2 must travel different distances. The original double-slit setup involved directing light at an opaque screen with two thin parallel slits in it. ![]()
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