Sulfur hexafluoride (SF6) is a high-density gas that has refractive index, ns = 1.8 at a specified pressure, temperature, and wavelength. Consider the retro-reflecting prism shown in Fig. 12.16, that is immersed in SF6. Light enters through a quarter-wave antireflective coating and then totally reflects from the back surfaces of the glass. In principle, the beam should experience zero loss at the design wavelength (Pout = Pin). (a) Determine the minimum required value of the glass refractive index, ng, so that the interior beam will totally reflect. (b) Knowing ng, find the required refractive index of the quarter-wave film, n f . (c) With the SF6 gas evacuated
from the chamber, and with the glass and film values as previously found, find the ratio, Pout/Pin. Assume very slight misalignment, so that the long beam path through the prism is not retraced by reflected waves.
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