Abstract
In computational ghost imaging, a spatial light modulator (SLM) can be used to modulate the light field. The relative locations and the number of light point pixels on an SLM affect the imaging quality. Usually, SLMs are two-dimensional arrays which are drawn uniformly or are randomly sparse. However, the patterns formed by a uniform array are periodic when the number of light point pixels is small, and the images formed by a random sparse array suffer from large background noise. In this paper, we introduce a coprime array based on the Eisenstein integer to optimize the light point pixel arrangement. A coprime array is widely used as a microwave radar receiving array, but less implemented in optics. This is the first time that a coprime array based on Eisenstein integer has been introduced in computational ghost imaging. A coprime array with this structure enhances the imaging quality when limited measurements are recorded, and it reduces background noise and avoids periodicity. All results are verified by numerical simulation.
Highlights
IntroductionGhost imaging mainly uses a second-order correlation (intensity fluctuation correlation) of the light field, and enjoys good performance when encountering atmospheric turbulence and scattering effects [1,2,3,4]
Ghost imaging mainly uses a second-order correlation of the light field, and enjoys good performance when encountering atmospheric turbulence and scattering effects [1,2,3,4]
When light point pixels were arranged randomly, the periodicity of patterns could be avoided, but the images suffer from large background noise
Summary
Ghost imaging mainly uses a second-order correlation (intensity fluctuation correlation) of the light field, and enjoys good performance when encountering atmospheric turbulence and scattering effects [1,2,3,4]. In 2008, Shapiro [20] first proposed the theory of computational ghost imaging He proposed the use of a spatial light modulator (SLM) instead of a rotating ground glass and applied deterministic modulation to the laser beam with an SLM. In this way, the intensity fluctuation pattern could be calculated by the diffraction theory, and the CCD was no longer needed. The arrangement of light point pixels on the SLM, according to this structure, can achieve better imaging results than uniform arrays and random sparse arrays. The rest of the paper is organized as follows: In Section 2, we provide the formulation of coprime array; in Section 3, we present the image reconstruction method based on coprime array; in Section 4, we show our numerical simulations; and in Section 5, we draw our conclusions
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