Optical parametric oscillator: Difference between revisions

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AAn '''continuous-wave optical parametric oscillator''' (cw-OPO) converts a [[continuous-wave]] input [[laser]] wave (called "pump") into two continuous-wave output waves of lower frequency (<math>\omega_s, \omega_i</math>) by means of [[nonlinear optics | nonlinear- optical interaction]]. The sum of the output waves frequencies is equal to the input wave frequency: <math>\omega_s + \omega_i=\omega_p</math>. For historic reasons, the two output waves are called "signal" and "idler". A special case is the degenerate OPO, when the output frequency is one-half the pump frequency, <math>\omega_s=\omega_i=\omega_p/2</math>.

[[Category:Lasers]]

[[Category:Nonlinear optics]]

The OPO consists essentially of an [[Optical_cavity|optical resonator]] and a [[Nonlinear Optics|nonlinear optical crystal]] crystal. The optical resonator serves to resonate at least one of signal and idler waves. In the nonlinear optical crystal, the pump, signal and idler waves overlap. The interaction between these three waves leads to amplitude gain for signal and idler waves (parametric amplification) and a corresponding deamplification of the pump wave. The gain allows the resonating wave(s) (signal or idler or both) to oscillate in the resonator, compensating the loss that the resonating wave(s) experience(s) at each round-trip. This loss includes the loss due to outcoupling by one of the resonator mirrors, which provides the desired output wave. Since the (relative) loss is independent of the pump power, but the gain is dependent on pump power, at low pump power there is insufficient gain to support oscillation. Only when the pump power reaches a particular threshold level, oscillation occurs. Above threshold, the gain depends also on the amplitude of the resonated wave. Thus, in steady-state operation, the amplitude of the resonated wave is determined by the condition that this gain equals the (constant) loss. The circulating amplitude increases with increasing pump power, and so does the output power.

A '''continuous-wave optical parametric oscillator''' (cw-OPO) converts a [[continuous-wave]] input [[laser]] wave (called "pump") into two continuous-wave output waves of lower frequency (<math>\omega_s, \omega_i</math>) by means of [[nonlinear optics | nonlinear-optical interaction]]. The sum of the output waves frequencies is equal to the input wave frequency: <math>\omega_s + \omega_i=\omega_p</math>. For historic reasons, the two output waves are called "signal" and "idler". A special case is the degenerate OPO, when the output frequency is one-half the pump frequency, <math>\omega_s=\omega_i=\omega_p/2</math>.

The OPO consists essentially of an [[Optical_cavity|optical resonator]] and a [[Nonlinear Optics|nonlinear optical crystal]]. The optical resonator serves to resonate at least one of signal and idler waves. In the nonlinear optical crystal, the pump, signal and idler waves overlap. The interaction between these three waves leads to amplitude gain for signal and idler waves (parametric amplification) and a corresponding deamplification of the pump wave. The gain allows the resonating wave(s) (signal or idler or both) to oscillate in the resonator, compensating the loss that the resonating wave(s) experience(s) at each round-trip. This loss includes the loss due to outcoupling by one of the resonator mirrors, which provides the desired output wave. Since the (relative) loss is independent of the pump power, but the gain is dependent on pump power, at low pump power there is insufficient gain to support oscillation. Only when the pump power reaches a particular threshold level, oscillation occurs. Above threshold, the gain depends also on the amplitude of the resonated wave. Thus, in steady-state operation, the amplitude of the resonated wave is determined by the condition that this gain equals the (constant) loss. The circulating amplitude increases with increasing pump power, and so does the output power.

The photon conversion efficiency, the number of output photons per unit time in the output signal or idler wave relative to number of pump photons incident per unit time into the OPO can be high, in the range of tens of percent.

Typical threshold pump power is between tens of milli-wattmilliwatt to several watt, depending on losses of the typeresonator, the frequencies of OPOthe interacting light, the intensity in the nonlinear material, and its nonlinearity. Output powers of several Wattwatt can be achieved.

There exist both [[continuous-wave]] and [[Pulsed power|pulsed]] OPOs. The latter are easier to build, since the high intensity lasts only for a tiny fraction of a second, which damages the nonlinear optical material and the mirrors less than a continuous high intensity.

In the optical parametric oscillator the initial idler and signal waves are taken from background waves, which are always present. If the idler wave is given from the outside along with the pump beam, then the process is called [[difference frequency generation]] (DFG). This is a more efficient process than optical parametric oscillation, so that also the threshold intensity is lower.

In order to change the output wave frequencies, the [[Nonlinear_Optics|phasematching]] properties of the crystal must be changed. This is accomplished by changing its temperature or orientation or quasi-phasematching period (see below). In addition, the resonator may contain elements to suppress mode-hops of the resonating wave and to change the optical path length of the resonator. Mode-hop suppression often requires active control of some element of the OPO system.

In order to change the output wave frequencies, one can change the pump frequency or the [[Nonlinear_OpticsNonlinear Optics|phasematching]] properties of the crystalnonlinear mustoptical be changedcrystal. This latter is accomplished by changing its temperature or orientation or quasi-phasematching period (see below). For fine-tuning one can also change the optical path length of the resonator. In addition, the resonator may contain elements to suppress mode-hops of the resonating wave and to change the optical path length of the resonator. Mode-hop suppressionThis often requires active control of some element of the OPO system.

As nonlinear optical crystals, crystals using [[quasi-phasematching]] (QPM) can be employed. With a suitable range of these, output wavelengths from 700 nm to 5000 nm can be generated. Common pump sources are [[Nd-YAG laser|neodymium lasers]] at 1 <math>\mu</math>m or 0.5 <math>\mu</math>m.

AsIf the nonlinear optical crystals,crystal crystalscannot usingbe phase-matched, [[quasi-phasematching]] (QPM) can be employed. This is accomplished by periodically changing the nonlinear optical properties of the crystal, mostly by [[periodical poling]]. With a suitable range of theseperiods, output wavelengths from 700 nm to 5000 nm can be generated in periodically poled [[lithium niobate]] (PPLN). Common pump sources are [[Nd-YAG laser|neodymium lasers]] at 1.064 <math>\mu</math>µm or 0.5532 <math>\mu</math>µm.

An important feature of the OPO is the coherence and the spectral width of the generated radiation.

When the pump power is significantly above threshold, the two output waves are, to a very good approximation, [[coherent state]]s (laser-like waves). Close to or below oscillation threshold, the output waves can exhibit interesting quantum properties such as [[Squeezed coherent state|squeezed quantum noise]] and sub-shot-noise intensity correlations ("twin beams")) The linewidth of the resonated wave is very narrow (as low as several kHz). The nonresonated generated wave also exhibits narrow linewidth if a pump wave of narrow linewidth is employed.

The output waves can be tuned in frequency by changing the path length of the optical resonator or by tuning the pump frequency.

==See also==

* [[Nonlinear optics]]

* [[Optical parametric amplifier]]

[[Category:Lasers]]

[[Category:Nonlinear optics]]