Abstract
AbstractStimulated parametric down-conversion is a nonlinear optical process that can be used for phase conjugation and frequency conversion of an optical field. A precise description of the outgoing stimulated field has been developed for the case where the input pump and seed fields are coherent. However, partially coherent beams can have interesting and important characteristics that are absent in coherent beams. One example is the twist phase, a novel optical phase that can appear in partially coherent Gaussian beams and gives rise to a nonzero orbital angular momentum. Here, we consider stimulated down-conversion for partially coherent input fields. As a case study, we use twisted Gaussian Schell-Model beams as the seed and pump beams in stimulated parametric down-conversion. It is shown both theoretically and experimentally that the stimulated idler beam can be written as a twisted Gaussian Schell-Model beam, where the beam parameters are determined entirely by the seed and pump. When the pump beam is coherent, the twist phase of the idler is the conjugate of that of the seed. These results could be useful for the correction of wavefront distortion such as in atmospheric turbulence in optical communication channels, and synthesis of partially coherent beams.
Highlights
Parametric nonlinear processes play a central role in classical and quantum optics, as they can give rise to amplification, modulation and frequency conversion of optical fields
A more general way of understanding the phase conjugation that occurs in stimulated parametric down-conversion (StimPDC) is by envisioning the idler beam as the field resulting from the scattering of the seed beam in a modulator described by the pump beam, which propagates backwards in time
When the pump and seed beams are described by the Twisted Gaussian Schell-model (TGSM), we have shown analytically that the stimulated idler beam is a TGSM beam, with properties determined by those of the pump and seed
Summary
Parametric nonlinear processes play a central role in classical and quantum optics, as they can give rise to amplification, modulation and frequency conversion of optical fields. A related process, known as stimulated parametric down-conversion (StimPDC), occurs when a pump and a seed beam interact in a medium with a nonzero second-order susceptibility [18] They produce a third field, known as the stimulated or idler field, which can be the phase conjugate of the seed [19,20,21,22]. We consider partially coherent StimPDC, with the aim of elucidating the relationship between the transverse degree of coherence as well as the twist phase of the pump, signal and idler beams This knowledge will help to enhance the applications of TGSM beams. We apply this to the case in which both input fields are described by the TGSM [1, 2].
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