(Solved): (a.) Derive the tangential and sagittal ray matrices for the following matched prism pair. Be sure t ...

(a.) Derive the tangential and sagittal ray matrices for the following matched prism pair. Be sure to clearly state what matrices have been multiplied together. Put your answer in terms of h, L, and e, and n

(b.) We will soon see that a prism sequence similar to the one above is often used in short pulse laser designs to compensate for unwanted intracavity dispersion. However, such a sequence is clearly astigmatic. Given the two simple cavity designs below, which will result in the least astigmatic output beam and why? Your answer need not be numerical if you can give the correct physical argument.

\#3. 20 pts (a.) Derive the tangential and sagittal ray matrices for the following matched prism pair. Be sure to clearly state what matrices have been multiplied together. Put your answer in terms of $$\mathrm{h},\mathrm{L}$$, and $$?$$, and $$n$$ (b.) We will soon see that a prism sequence similar to the one above is often used in short pulse laser designs to compensate for unwanted intracavity dispersion. However, such a sequence is clearly astigmatic. Given the two simple cavity designs below, which will result in the least astigmatic output beam and why? Your answer need not be numerical if you can give the correct physical argument.