The ambiguity function (AF) provides a convenient way to model how a camera with a modified aperture responds to defocus. We use the AF to design an optimal aperture distribution, which creates a depth-variant point spread function (PSF) from a sparse set of desired intensity patterns at different focal depths. Prior knowledge of the coherence state of the light is used to constrain the optimiz...

In this paper we develop a coherent control theory of the off resonance refractive index of a medium with a Gaussian pulse of coherent light. The refractive index of gaseous N i is studied by using this theory. It is found that the off resonance refractive index of gaseous N2 can be enhanced through the coherent control approach by changing the coherent parameters or the pulse duration of the c...

An all-solid-state 252 nm coherent light source with external cavities for laser cooling silicon atoms using twostage highly efficient frequency conversions has been developed. With the coherent light source, it is possible to manipulate the atomic motion of the silicon atoms, which is necessary for nano-process applications. In this paper, deflection, collimation, and axial velocity selection ...

Frames which can be generated by the action of some operators (e.g. translation, dilation, modulation, ...) on a single element $f$ in a Hilbert space, called coherent frames. In this paper, we introduce a class of continuous frames in a Hilbert space $mathcal{H}$ which is indexed by some locally compact group $G$, equipped with its left Haar measure. These frames are obtained as the orbits of ...