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Double-slit problem with incident and refracted angles

1. Homework Statement
For the given configuration, the path difference between the 2 rays is given as δ=dsinθ1 - dsinθ2

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2. Homework Equations
Small angle approximation?

3. The Attempt at a Solution
I'm used to seeing a double-slit situation where only the exit angle is specified, and thus path difference is simply δ=dsinθ. Here, though, we have an incident and refracted θ1 and θ2. Any hints at deriving the following will be appreciated:

δ=dsinθ1 - dsinθ2
 

Answers and Replies

130
30
Here's a question for you, why do you think one term is positive while the other is negative (i.e. what does it mean physically)?
 

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