How Do Single Slits Affect Intensity Patterns in Different Directions?

[mmh37]

Hi everyone,

this is a really nice question on single slids. I can do part a), since the Intensity is proportional to [f(x)]^2.

However, I am completely stuck on part b. If the wave alters in x direction (not uniform) I don't understand how I am supposed to calculate the resulting Intensities in y direction on the path of the dog. Am I supposed to build the time average on each point? If anyone could give me a hint that would be amazing. Thank you!

 

[Astronuc]

For part b - refer to http://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/sinslitd.html#c1

http://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/sinint.html#c1

 

[mmh37]

Thank you - I already solved the problem (it was actually quite easy) - I had been confused, since I thought that direction x (in the intensity pattern) was perpendicular to y (the direction in which the dog walks), but apparently it is the same, which makes the problem quite easy to handle.