Optical EngineeringFractional Talbot effect for periodic microlens arrays
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It is well known that the foci of a periodic array of microlenses are reproduced and multiplied in the fractional Talbot planes. But the intensity between the multiplied foci varies in general in one period, especially if the light in the spacing between the lenses is not absorbed but transmitted. Additionally, in the case of microlenses with a high numerical aperture the parabolic approximation or Fresnel diffraction, which is normally used to explain the Talbot effect, is no longer valid. A theoretical explanation and numerical simulations are given together with experimental results.