i. Concentric: the beam from each mirror focuses at the midpoint between the mirrors. Confocal: the beam from each mirror focuses on the opposite mirror. (This is the one LIGO uses.) ii. iii. Plane-parallel: the beam from each mirror does not focus at all.

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2) Still LIGO: Optical cavities are pairs of mirrors that face each other so that
light bounces back and forth between them. LIGO has optical cavities along
each of its arms. There are a variety of different kinds of optical cavities that
could have been used.
a) Assume that the cavity length is L, meaning that the mirrors are separated by that
distance. What are the radius of curvatures of the mirrors, in terms of L, for these three
optical cavities?
i. Concentric: the beam from each mirror focuses at the midpoint between the mirrors.
Confocal: the beam from each mirror focuses on the opposite mirror. (This is the one
LIGO uses.)
ii.
iii. Plane-parallel: the beam from each mirror does not focus at all.
Transcribed Image Text:2) Still LIGO: Optical cavities are pairs of mirrors that face each other so that light bounces back and forth between them. LIGO has optical cavities along each of its arms. There are a variety of different kinds of optical cavities that could have been used. a) Assume that the cavity length is L, meaning that the mirrors are separated by that distance. What are the radius of curvatures of the mirrors, in terms of L, for these three optical cavities? i. Concentric: the beam from each mirror focuses at the midpoint between the mirrors. Confocal: the beam from each mirror focuses on the opposite mirror. (This is the one LIGO uses.) ii. iii. Plane-parallel: the beam from each mirror does not focus at all.
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