General analytic theory of classical collinear three wave mixing in a
monolithic cavity
- URL: http://arxiv.org/abs/2010.06320v1
- Date: Tue, 13 Oct 2020 12:02:52 GMT
- Title: General analytic theory of classical collinear three wave mixing in a
monolithic cavity
- Authors: Matteo Santandrea, Michael Stefszky and Christine Silberhorn
- Abstract summary: We present the analytic theory for a general, classical three wave mixing process in a cavity with arbitrary finesse and non-zero propagation losses.
We demonstrate remarkable agreement between the presented model and the experimentally obtained highly complex second-harmonic spectrum of a titanium-diffused lithium niobate waveguide cavity.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Integrated, monolithic nonlinear cavities are of high interest in both
classical and quantum optics experiments for their high efficiency and
stability. However, a general, analytic theory of classical three wave mixing
in such systems that encompasses multiple monolithic designs, including both
linear and nonlinear regions, as well as any three-wave mixing process has not
yet been fully developed.
In this paper, we present the analytic theory for a general, classical three
wave mixing process in a cavity with arbitrary finesse and non-zero propagation
losses, encompassing second harmonic, sum frequency and difference frequency
generation - SHG, SFG and DFG respectively. The analytic expression is derived
under the sole assumption of low single-pass conversion efficiency (or
equivalently operating in the non-depleted pump regime).
We demonstrate remarkable agreement between the presented model and the
experimentally obtained highly complex second-harmonic spectrum of a
titanium-diffused lithium niobate waveguide cavity that includes both a linear
and nonlinear section. We then show the effect that reversing the linear and
nonlinear regions has on the output spectrum, highlighting the importance of
system design. Finally, we demonstrate that the model can be extended to
include the effect of phase modulation applied to the cavity.
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