Signal recycled laser-interferometer gravitational-wave detectors as optical springs
نویسندگان
چکیده
Using the force-susceptibility formalism of linear quantum measurements, we study the dynamics of signal recycled interferometers, such as LIGO-II. We show that, although the antisymmetric mode of motion of the four arm-cavity mirrors is originally described by a free mass, when the signal-recycling mirror is added to the interferometer, the radiation-pressure force not only disturbs the motion of that ‘‘free mass’’ randomly due to quantum fluctuations, but also, and more fundamentally, makes it respond to forces as though it were connected to a spring with a specific optical-mechanical rigidity. This oscillatory response gives rise to a much richer dynamics than previously known for SR interferometers, which enhances the possibilities for reshaping the noise curves and, if thermal noise can be pushed low enough, enables the standard quantum limit to be beaten. We also show the possibility of using servo systems to suppress the instability associated with the opticalmechanical interaction without compromising the sensitivity of the interferometer.
منابع مشابه
Commissioning , characterization and operation of the dual - recycled GEO 600
The German–British laser-interferometric gravitational-wave detector GEO 600 is currently being commissioned as part of a worldwide network of gravitational-wave detectors. GEO 600 recently became the first kilometrescale interferometer to employ dual recycling—an optical configuration that combines power recycling and signal recycling. We present a brief overview 0264-9381/04/201737+09$30.00 ©...
متن کاملScaling law in signal recycled laser-interferometer gravitational-wave detectors
By mapping the signal-recycling (SR) optical configuration to a three-mirror cavity, and then to a single detuned cavity, we express SR optomechanical dynamics, input–output relation and noise spectral density in terms of only three characteristic parameters: the (free) optical resonant frequency and decay time of the entire interferometer, and the laser power circulating in arm cavities. These...
متن کاملSensing and control in dual-recycling laser interferometer gravitational-wave detectors.
We introduce length-sensing and control schemes for the dual-recycled cavity-enhanced Michelson interferometer configuration proposed for the Advanced Laser Interferometer Gravitational Wave Observatory (LIGO). We discuss the principles of this scheme and show methods that allow sensing and control signals to be derived. Experimental verification was carried out in three benchtop experiments th...
متن کاملExperimental investigation of a control scheme for a zero-detuning resonant sideband extraction interferometer for next-generation gravitational-wave detectors
Some next-generation gravitational-wave detectors, such as the American Advanced LIGO project and the Japanese LCGT project, plan to use power recycled resonant sideband extraction (RSE) interferometers for their interferometer’s optical configuration. A power recycled zero-detuning (PRZD) RSE interferometer, which is the default design for LCGT, has five main length degrees of freedom that nee...
متن کاملModel of thermal wave-front distortion in interferometric gravitational- wave detectors. I. Thermal focusing
We develop a steady-state analytical and numerical model of the optical response of power-recycled Fabry– Perot Michelson laser gravitational-wave detectors to nonlinear thermal focusing in optical substrates. We assume that the thermal distortions are small enough that we can represent all intracavity fields as linear combinations of basis functions derived from the eigenmodes of a Fabry–Perot...
متن کامل