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A simple semi-classical nonlinear resonator model to exhibit this is given by a non-degenerate optical parametric oscillator (NOPO) pumped above threshold; for low pump input powers this system allows for parametric amplification of a weak coherent signal (or idler) input.
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In this case vacuum inputs for the signal and idler lead to outputs with zero expected photon number.
A response at the idler frequency need not be induced at the input, nor measured as an output variable, for it to play an important role as an internal state variable.
High resolution incremental encoders on the transmission input and output shaft, as well as on the idler gear, enable the acquisition of the angular relative motion of the gear pair within the range of tooth backlash.
When the pump bias input is sufficiently large compared to threshold and consequently there are many signal and idler photons present in the cavity at any given time ((|alpha_{s/i}|^{2} gg 1)) one can analyze the dynamics along the manifold and of small orthogonal deviations from the manifold.
In the general case, we need to provide for the possibility for the idler response to exist, even if it remains as an internal state variable (serving neither as an externally accessible input or output to the circuit).
The output field at detuning Δ from the pump frequency is a sum of the input fields at frequencies Δ and −Δ multiplied with the signal gain factor g S, Δ and the idler gain factor g I, Δ, respectively.
The Idler, 40 Saturday Jan 20,pp.
Rick sees the author as an idler.
· Tom Hodgkinson is the editor of The Idler.
Ms. Idler also listed the house as a short sale.
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