Figure P 6 29 shows two identical concave spherical mirrors forming a so called confocal cavity Show, without first specifying the value of d, that after traversing the cavity two times the system matrix is Then for the specific case of d r show that after four reflections the system is back where it started and the light will retrace its original path 2d 2d 20(1 2) 2d 1 1 2 Figure P 6 29 4 3 M2 M1 R R2 r

Question: Figure P.6.29 shows two identical concave spherical mirrors forming a so-called confocal cavity. Show, without first specifying the value of d, that after traversing the

Figure P.6.29 shows two identical concave spherical mirrors forming a so-called confocal cavity. Show, without first specifying the value of d, that after traversing the cavity two times the system matrix is

2d 2d 20(1-2) 2d 1 1 –2

Then for the specific case of d = r show that after four reflections the system is back where it started and the light will retrace its original path.

Figure P.6.29 4 3 M2 M1 |R|=|R2]=r

2d 2d 20(1-2) 2d 1 1 2 Figure P.6.29 4 3 M2 M1 |R|=|R2]=r

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