This work demonstrates the impact of sampling basis resolution on Single Pixel Imaging’s ability to accurately measure the amplitude and phase of an arbitrary complex light field. We observe that phase crosstalk occurs in the reconstructed amplitude when the sampling basis is coarser than the underlying phase distribution. To investigate this phenomenon, a spatial light modulator is employed to prepare the complex field—comprising both amplitude and phase—utilizing a phase-only hologram. The field is then sampled at various resolutions using the Hadamard basis on the same SLM with interferometric Single Pixel Imaging. Measurement of the field takes place on a single point through 3-step interferometry and a Mach-Zehnder interferometer. While the phase is correctly reconstructed for each resolution, our findings reveal distinctive attributes of the phase distribution in the reconstructed amplitude for coarser sampling resolutions.
This work introduces a novel method to significantly reduce the number of measurements needed for wavefront correction in strongly scattering media, as compared to traditional approaches. The key innovation lies in defining the beam using an annular angular spectrum rather than a 2D grid. We employ a Spatial Light Modulator (SLM) for both the preparation and sampling of the annular angular spectrum. The speckle pattern of the transmitted beam is evaluated at a single point of a detector, and the phase distribution is measured using three-step interferometry. The final correction to the transmitted beam is achieved by applying the conjugate phase onto the initial beam defined on the spatial light modulator. Remarkably, 64 measurements already provide a reasonably effective wavefront correction. However, optimal results are attained when the spatial azimuthal sampling frequency of the angular spectrum matches the transverse wave vector of the generated quasi-Bessel beam.
Aberrations produced by transparent optical elements and random scatterers in a focused laser beam are corrected by measuring the phase and then imprinting the phase conjugate onto the beam. The field is represented with a Hadamard basis and the phase contributions of each element are measured with interferometry. We investigate implementing the basis on a Bessel beam, which is projected into a ring and can result in a reduction of the number of elements needed in the basis to get a reasonable correction.
Conference Committee Involvement (1)
Novel Optical Systems, Methods, and Applications XXVIII
3 August 2025 | San Diego, California, United States
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