Abstract
This work provides a theoretical approach to describe the spatial properties of bright squeezed vacuum. The model describes these using Schmidt modes and captures the modal structure and the effects of strong pumping.
Highlights
At a high parametric gain, parametric down-conversion (PDC) and four-wave mixing (FWM) generate a bright squeezed vacuum (BSV)
This happens due to diffraction, which leads to the reduction of the angular width of the BSV that overlaps with the pump and is amplified in the second crystal; diffraction is more pronounced for larger distances
We have presented a new theoretical approach to describe the spatial properties of a BSV generated through high-gain PDC
Summary
At a high parametric gain, parametric down-conversion (PDC) and four-wave mixing (FWM) generate a bright squeezed vacuum (BSV). The existing Schmidt mode theory neglects the energy mismatch between the pump, signal, and idler photons and leads to gain-independent shapes of the Schmidt modes For this reason, it cannot describe the broadening of the spectrum, which is observed in experiment [34] as the BSV gets brighter due to the increase in the parametric gain (stronger pumping). Our approach is based on exchanging the (k, t ) and (ω, z) representations and solving the high-dimensional system of integrodifferential equations for plane-wave operators This approach describes various features of the BSV, such as the intensity distribution and the shapes of the Schmidt modes, as well as their evolution with increasing parametric gain, both in the case of a single crystal and in the case of a two-crystal configurations.
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