Wigner function measurement using a lenslet array

作者:Tian Lei*; Zhang Zhengyun; Petruccelli Jonathan C; Barbastathis George
来源:Optics Express, 2013, 21(9): 10511-10525.
DOI:10.1364/OE.21.010511

摘要

Geometrical-optical arguments have traditionally been used to explain how a lenslet array measures the distribution of light jointly over space and spatial frequency. Here, we rigorously derive the connection between the intensity measured by a lenslet array and wave-optical representations of such light distributions for partially coherent optical beams by using the Wigner distribution WDF). It is shown that the action of the lenslet array is to sample a smoothed version of the beam's WDF (SWDF). We consider the effect of lenslet geometry and coherence properties of the beam on this measurement, and we derive an expression for cross-talk between lenslets that corrupts the measurement. Conditions for a high fidelity measurement of the SWDF and the discrepancies between the measured SWDF and the WDF are investigated for a Schell-model beam.

  • 出版日期2013-5-6
  • 单位MIT