Abstract

Young's interferograms with high visibility reveals a high degree of spatial coherence of first order. But, spatially partial coherence of second order can be observed when it interferes itself through a compensated Michelson's interferometer attached at the exit of the Young's slit pair. We show that the patterns at the exit of the Michelson's interferometer are Young's interferograms with modulation fringes, which allow an estimation of the degree of the high order spatial coherence.

Highlights

  • A pair o f Young’s slits, o f width a along the x-axis, length I » a along the y-axis and separation b> a, is illuminated by art H e-N e laser

  • The reflected patterns will be superimposed at the CCD sensor, which is attached at the exit o f the Michelson’s interferometer

  • This interference allows us to analyse the coherence patch o f the optical field [1]. It will produce a modulation o f the Young’s pattern whose fringe orientation, period and visibility depend on this lateral shift and on the structure o f the coherence patch o f the optical field.*12

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Summary

Fundamentals

The reflected patterns can interfere depending on the tilting angle This interference allows us to analyse the coherence patch o f the optical field [1]. It will produce a modulation o f the Young’s pattern whose fringe orientation, period and visibility depend on this lateral shift and on the structure o f the coherence patch o f the optical field.*12. The m odulation fringes on the Y oung p a tte rn will be m ainly described by the first cosine te rm in p aren th eses in expression (3), w hich is obtain ed from Eq (2c), by applying the trigonom etric id en tity fo r th e p ro ductof cosine functions [1,2,3], i.e

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