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Journal of the Optical Society of America B

Control of a quantum ghost image by spatial pumping phase modulation

Dmitriy A. Balakin, Alexander V. Belinsky

Published Nov 1, 2021• 3 citations
Publisher

Abstract

We analyze the influence of diffraction caused by finite width of the pumping in quantum ghost imaging on the spatial resolution of produced ghost images. Following the necessary formal relations, we propose an algorithm for modeling and perform computer modeling. New variants of ghost imaging setups with spatial modulation of pumping phase are proposed. Their advantages are shown, and estimates of imaging resolution are provided.

DOI
10.1364/josab.433600

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We analyze the influence of diffraction caused by finite width of the pumping in quantum ghost imaging on the spatial resolution of produced ghost images. Following the necessary formal relations, we propose an algorithm for modeling and perform computer modeling. New variants of ghost imaging setups with spatial modulation of pumping phase are proposed. Their advantages are shown, and estimates of imaging resolution are provided.
A generalization of the calculation of the formation of ghost images in the course of backward four-photon mixing to the real situation of non-planar spatially limited pumping, which has a Gaussian profile of the fundamental laser mode, is developed, taking into account the specifics of the formation of phantom images. Computer images have been obtained that make it possible to estimate the spatial resolution of the systems. A relatively simple equivalent scheme for describing the process is proposed, which shows that the effect of diffraction in nonlinear systems is similar to its role in ordinary linear optics with a limited aperture. A fiber-optic version of the formation of ghost images is proposed, suitable for the study of hard-to-reach cavities and organs of the human body, which allow the introduction of a thin fiber bundle there. Keywords: quantum entangled states, quantum images, optical systems, ghost images, quantum measurements.
One of the most surprising consequences of quantum mechanics is the entanglement of two or more distant particles. Although questions regarding fundamental issues of quantum theory still exist, quantum entanglement has started to play important roles in practical engineering applications. Quantum imaging is one of these exciting areas. Quantum imaging has demonstrated two peculiar features: 1) reproducing ghost images in a nonlocal manner and 2) enhancing the spatial resolution of imaging beyond the diffraction limit. In this paper, we start with the review of classical imaging to establish the basic concepts and formalisms of imaging. We then analyze two-photon imaging with particular emphasis on the physics of spatial resolution enhancement and the ghost imaging phenomenon.
One of the most surprising consequences of quantum mechanics is the entanglement of two or more distant particles. Although questions regarding fundamental issues of quantum theory still exist, quantum entanglement has started to play important roles in practical engineering applications. Quantum imaging is one of these exciting areas. Quantum imaging has demonstrated two peculiar features: (1) reproducing ghost images in a nonlocal manner, and (2) enhancing the spatial resolution of imaging beyond the diffraction limit. In this article, we start with the review of classical imaging to establish the basic concepts and formalisms of imaging. We then analyze two-photon imaging with particular emphasis on the physics of spatial resolution enhancement and the ghost imaging phenomenon.
A generalization of the calculation of the formation of ghost images in the course of backward four-photon mixing to the real situation of non-planar spatially limited pumping, which has a Gaussian profile of the fundamental laser mode, is developed, taking into account the specifics of the formation of ghost images. Computer images have been obtained that make it possible to estimate the spatial resolution of the systems. A relatively simple equivalent scheme for describing the process is proposed, which shows that the effect of diffraction in nonlinear systems is similar to its role in ordinary linear optics with a limited aperture. A fiber-optic version of the formation of ghost images is proposed, suitable for the study of hard-to-reach cavities and organs of the human body, which allow the introduction of a thin fiber bundle there.