(Lloyd's mirror) A point source of narrowband light is placed at distance (s) above a perfectly reflecting...
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(Lloyd's mirror) A point source of narrowband light is placed at distance \(s\) above a perfectly reflecting planar mirror. At distance \(d\) away, the interference fringes are observed on a screen, as shown in Fig. 5-4p. The complex degree of (self-) coherence of the light is
\[ \gamma_{o}(\tau)=e^{-\pi \Delta u|\tau|} e^{-j 2 \pi \bar{v} \tau} \]
Adopting the assumptions \(s \ll d\) and \(x \ll d\), and taking account of a sign change of the field on reflection (polarization assumed parallel to the mirror), find
(a) The spatial frequency of the fringe.
(b) The classical visibility of the fringe as a function of \(x\), assuming equal strength interfering beams.
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