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This paper analytically and numerically investigates misalignment and mode-mismatch induced power coupling coefficients and losses as a function of Hermite Gauss (HG) mode order. We show that higher-order HG modes are more susceptible to…

Instrumentation and Methods for Astrophysics · Physics 2021-05-24 Liu Tao , Jessica Kelley-Derzon , Anna C. Green , Paul Fulda

The locking of lasers to optical cavities is ubiquitously required in the field of precision interferometry such as Advanced LIGO to yield optimal sensitivity. Using higher-order Hermite-Gauss (HG) modes for the main interferometer beam has…

Instrumentation and Methods for Astrophysics · Physics 2023-10-25 Liu Tao , Anna C. Green , Paul Fulda

Higher-order spatial laser modes have recently been investigated as candidates for reducing test-mass thermal noise in ground-based gravitational-wave detectors such as advanced LIGO. In particular, higher-order Hermite-Gauss (HG) modes…

Instrumentation and Methods for Astrophysics · Physics 2024-03-11 Liu Tao , Paul Fulda

Proposed near-future upgrades of the current advanced interferometric gravitational wave detectors include the usage of frequency dependent squeezed light to reduce the current sensitivity-limiting quantum noise. We quantify and describe…

Strongly squeezed states of light are a key technology in boosting the sensitivity of interferometric setups, such as in gravitational-wave detectors. However, the practical use of squeezed states is limited by optical loss, which reduces…

Higher-order Laguerre-Gauss (LG) modes have previously been investigated as a candidate for reducing test-mass thermal noise in ground-based gravitational-wave detectors like Advanced LIGO. It has been shown however that LG modes' fragility…

Instrumentation and Methods for Astrophysics · Physics 2021-04-07 Liu Tao , Anna C. Green , Paul Fulda

Test-mass thermal noise is a limiting noise source for current and next-generation ground-based gravitational-wave observatories. Uniform-intensity higher-order laser beams, including Laguerre-Gaussian (LG) and Hermite-Gaussian (HG) modes,…

Instrumentation and Methods for Astrophysics · Physics 2026-05-12 Liu Tao , Yuhang Zhao , Zong-Hong Zhu , Paul Fulda

Similarly to light, gravitational waves can be gravitationally lensed as they propagate near massive astrophysical objects such as galaxies, stars, or black holes. In recent years, forecasts have suggested a reasonable chance of strong…

General Relativity and Quantum Cosmology · Physics 2021-12-09 Justin Janquart , Eungwang Seo , Otto A. Hannuksela , Tjonnie G. F. Li , Chris Van Den Broeck

We explore the use of higher-order Hermite-Gauss modes for sensing optically induced transverse displacements. In the small-displacement regime, we show that projective measurements onto the two neighboring spatial modes yield optimal…

Optics · Physics 2025-06-04 Dilip Paneru , Alessio D'Errico , Ebrahim Karimi

Increasing the laser power is essential to improve the sensitivity of interferometric gravitational wave detectors. However, optomechanical parametric instabilities can set a limit to that power. It is of major importance to understand and…

Instrumentation and Methods for Astrophysics · Physics 2021-09-29 David Cohen , Annalisa Allocca , Gilles Bogaert , Paola Puppo , Thibaut Jacqmin , Virgo Collaboration

We predict and observe the appearance of an excess noise factor due to the non-Hermiticity of the modes of two actively harmonically mode-locked lasers. The non uniform distribution of gain and losses in the ring cavities of these lasers…

Gravitational wave detectors from the advanced generation onwards are expected to be limited in sensitivity by thermal noise of the optics, making the reduction of this noise a key factor in the success of such detectors. A proposed method…

Instrumentation and Methods for Astrophysics · Physics 2015-06-03 Paul Fulda , Charlotte Bond , Daniel Brown , Frank Brückner , Ludovico Carbone , Simon Chelkowski , Stefan Hild , Keiko Kokeyama , Mengyao Wang , Andreas Freise

To date, frequency-dependent squeezed light has been used to reduce quantum noise in interferometric gravitational wave detectors by 6.1 dB (a factor of two). Future upgrades and detectors aim to both reduce quantum noise by 10 dB (a factor…

Instrumentation and Detectors · Physics 2026-04-28 Kevin Kuns , Daniel Brown

Odd-indexed higher-order Hermite-Gauss (HG) modes are compatible with 4-quadrant segmented mirrors due to their intensity nulls along the principal axes, which guarantees minimum beam intensity illuminating the bond lines between the…

Instrumentation and Methods for Astrophysics · Physics 2023-12-04 Liu Tao , Nina Brown , Paul Fulda

We experimentally demonstrate the conversion of a fundamental $\text{TEM}_{00}$ laser mode at 1064\,nm to higher order Hermite-Gaussian modes (HG) of arbitrary order via a commercially available liquid crystal Spatial Light Modulator (SLM).…

General Relativity and Quantum Cosmology · Physics 2021-02-24 Stefan Ast , Sibilla Di Pace , Jacques Millo , Mikhael Pichot , Margherita Turconi , Walid Chaibi

We study mechanical cooling in systems of coupled passive (lossy) and active (with gain) optical resonators. We find that for a driving laser which is red-detuned with respect to the cavity frequency, the supermode structure of the system…

Quantum Physics · Physics 2017-06-15 H. Jing , Ş. K. Özdemir , H. Lü , Franco Nori

The inspiral and merger of black-hole binary systems are a promising source of gravitational waves. The most effective method to look for a signal with a well understood waveform, such as the binary black hole signal, is matched filtering…

General Relativity and Quantum Cosmology · Physics 2014-05-15 Larne Pekowsky , James Healy , Deirdre Shoemaker , Pablo Laguna

Current searches for the gravitational-wave signature of compact binary mergers rely on matched-filtering data from interferometric observatories with sets of modelled gravitational waveforms. These searches currently use model waveforms…

General Relativity and Quantum Cosmology · Physics 2021-03-02 Ian Harry , Juan Calderón Bustillo , Alex Nitz

Accurate readout of low-power optical higher-order spatial modes is of increasing importance to the precision metrology community. Mode sensors are used to prevent mode mismatches from degrading quantum and thermal noise mitigation…

Instrumentation and Detectors · Physics 2020-04-09 A. W. Jones , M. Wang , C. M. Mow-Lowry , A. Freise

Adaptive optics has made significant advancement over the past decade, becoming the essential technology in a wide variety of applications, particularly in the realm of quantum optics. One key area of impact is gravitational-wave detection,…

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