Computational ghost imaging with higher-order cosh-Gaussian modulated incoherent sources in atmospheric turbulence

• This paper is an interesting extension to the field of the CGI.
• The resolution of the CGI system can be greatly improved with the shaped source.
• The analytical formula for the CGI system with the shaped source is derived.
• Numerical examples are given to clearly see the effects of the system parameters.

We show that the resolution of the computational ghost imaging (CGI) system through atmospheric turbulence can be significantly improved by modulating a coherent source with high-order cosh-Gaussian functions. The analytical formula for the CGI system with a higher-order cosh-Gaussian source in turbulent atmosphere is derived and can be viewed as the original object convoluted a point-spread function (PSF). The imaging quality is mainly determined by the size of the PSF, which is closely related to the source parameters of the higher-order cosh-Gaussian beam, the turbulent strength and the propagation distance. Numerical examples are given to clearly see the effects of the above system parameters on the PSF and the quality of the CGI system. Compared with the widely used Gaussian source, it is found that the resolution of CGI can be obviously enhanced by properly adjusting the parameters of the higher-order cosh-Gaussian sources. Thus this kind of shaped source can be used to improve the imaging resolution and may be helpful to the CGI real applications.