Ray matrix formalism and Gaussian beams Flashcards
1
Q
What does it mean to be marginally stbale
A
g1g2 = 0 or 1
a small change in the angle of the mirrors or the length of the cavity will give a a non stbale resonator and the beam will escpae the cavity
2
Q
How to derive the thin les formula
A
Arr optical axis thorugh lens centre
Use lens makers formula for d0di and f and draw LHS triangle (lhs of lens height r)
Recall that one angle is + one is - (focusing or diverging angles from the optical axis z
-show that th1-th2 gives r/f
3
Q
What is Sylvesters thm
A
Raising an ABCD matrix to the Nth power has a nice simple form if
ABCD^N is real
this enforcing ABCD, eahc to have values and so results in the resonator (stability)g params
