Figure 1

A simplified classical correlated imaging system. A partially coherent source is split into two beams by the beam splitter BS. One transmits through the test system $\left(h_t\right)$ and the other through the reference system $\left(h_r\right)$. Two detectors $D_t$ and $D_r$ record the intensity distribution. A correlator is used to measure the correlation function of intensity fluctuations.Reuse & Permissions

Figure 2

(Color online) Numerical examples for $q=0.005$ and $a=0.008∕W^2$. (a1) The first 1000 eigenvalues ${\beta }_n$. (a2) The first 1000 coefficients $f_n\left(0\right)$ of a single-slit object in the ghost imaging and ghost diffractions schemes. (a3) The first 1000 coefficients $f_n\left(0\right)$ of a single-slit object in the lensless ghost diffractions schemes. (a4) The first 1000 coefficients $f_n\left(0\right)$ of a double-slit object in the ghost imaging and ghost diffractions schemes. (a5) The first 1000 coefficients $f_n\left(0\right)$ of a double-slit object in the lensless ghost diffractions schemes. (b1) Ghost imaging of a single-slit. Thick dotted line: the original object ${\mid t\left(y_r\right)\mid }^2$; solid line: the image $G(y_r,0)$. (b2) Ghost imaging of a double-slit. Thick dotted line: the original object ${\mid t\left(x\right)\mid }^2$; solid line: the image $G(y_r,0)$. (c1) Ghost diffraction of a single slit. Thick dotted line: the Fourier transform of the object ${\mid T(y_{r}k∕z)\mid }^2$; solid line: the image $G(y_r,0)$. (c2) Ghost diffraction of a double slit. Thick dotted line: the Fourier transform of the object ${\mid T(y_{r}k∕z)\mid }^2$; solid line: the image $G(y_r,0)$. (d1) Lensless ghost diffractions of a single slit. Thick dotted line: the Fourier transform of the object ${\mid T(y_{r}k∕z)\mid }^2$; solid line: the image $G(y_r,0)$. (d2) Lensless ghost diffractions of a double slit. Thick dotted line: the Fourier transform of the object ${\mid T(y_{r}k∕z)\mid }^2$; solid line: the image $G(y_r,0)$.Reuse & Permissions

Figure 3

(Color online) The same as Fig. 2, but $q=0.005$ and $a=0.02∕W^2$.Reuse & Permissions

Figure 4

(Color online) The same as Fig. 2, but $q=0.025$ and $a=0.02∕W^2$.Reuse & Permissions