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The paper derived differential equations which solve the problem of restoration the motion parameters for a rigid reference frame from the known proper acceleration and angular velocity of its origin as functions of proper time. These…

General Relativity and Quantum Cosmology · Physics 2023-04-18 Vitaliy Voytik

Optical tweezers (OT) have become an essential technique in several fields of physics, chemistry, and biology as precise micromanipulation tools and microscopic force transducers. Quantitative measurements require the accurate calibration…

We report on an all-optical magnetometric technique based on nonlinear magneto-optical rotation with amplitude-modulated light. The method enables sensitive magnetic-field measurements in a broad dynamic range. We demonstrate the…

Atomic Physics · Physics 2009-11-13 S. Pustelny , A. Wojciechowski , M. Gring , M. Kotyrba , J. Zachorowski , W. Gawlik

We investigate gravitational lensing in the Palatini approach to the f(R) extended theories of gravity. Starting from an exact solution of the f(R) field equations, which corresponds to the Schwarzschild-de Sitter metric and, on the basis…

Astrophysics · Physics 2009-07-22 Matteo Luca Ruggiero

We present a numerical weak-lensing analysis that is fully relativistic and non-perturbative for the scalar part of the gravitational potential and first-order in the vector part, frame dragging. Integrating the photon geodesics backwards…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-26 Francesca Lepori , Julian Adamek , Ruth Durrer , Chris Clarkson , Louis Coates

Non-metricity provides a natural extension of Riemannian geometry, yet its experimental signatures remain largely unexplored. In this work we investigate how spacetime non-metricity can be probed through high-precision observations,…

General Relativity and Quantum Cosmology · Physics 2026-01-28 Mohsen Khodadi , Emmanuel N. Saridakis

This paper considers the problem of nonlinear attitude estimation for a rigid body system using intermittent and multi-rate inertial vector measurements as well as continuous (high-rate) angular velocity measurements. Two types of hybrid…

Systems and Control · Electrical Eng. & Systems 2024-01-09 Miaomiao Wang , Abdelhamid Tayebi

This paper proposes two novel nonlinear attitude filters evolved directly on the Special Orthogonal Group SO(3) able to ensure prescribed measures of transient and steady-state performance. The tracking performance of the normalized…

Optimization and Control · Mathematics 2019-01-24 Hashim A. Hashim , Lyndon J. Brown , Kenneth McIsaac

This paper deals with the error analysis of a novel navigation algorithm that uses as input the sequence of images acquired from a moving camera and a Digital Terrain (or Elevation) Map (DTM/DEM). More specifically, it has been shown that…

Systems and Control · Computer Science 2013-04-29 Oleg Kupervasser , Alexander Rubinstein

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 present a generalization of continuous position measurements that accounts for a spatially inhomogeneous measurement strength. This describes many real measurement scenarios, in which the rate at which information is extracted about…

Quantum Physics · Physics 2015-05-20 Jonathan B. Mackrory , Kurt Jacobs , Daniel A. Steck

High-precision inertial sensing and gravity sensing are key in navigation, oil exploration, and earthquake prediction. In contrast to prior accelerometers using piezoelectric or electronic capacitance readout techniques, optical readout…

Gravitational waves propagate along null geodesics like light rays in the geometrical optics approximation, and they may have a chance to suffer from gravitational lensing by intervening objects, as is the case for electromagnetic waves.…

General Relativity and Quantum Cosmology · Physics 2010-10-12 Yousuke Itoh , Toshifumi Futamase , Makoto Hattori

The response of laser interferometers to gravitational waves has been calculated in a number of different ways, particularly in the transverse-traceless and the local Lorentz gauges. At first sight, it would appear that these calculations…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Malik Rakhmanov

The von Neumann interaction between a particle and an apparatus, both of arbitrary mass, has been considered in the measurement of the position of a simple harmonic oscillator acted on by an external force. When the measurement has finite…

Quantum Physics · Physics 2013-02-12 Francesc S. Roig

We present an approach for radar-inertial odometry which uses a continuous-time framework to fuse measurements from multiple automotive radars and an inertial measurement unit (IMU). Adverse weather conditions do not have a significant…

Robotics · Computer Science 2022-01-10 Yin Zhi Ng , Benjamin Choi , Robby Tan , Lionel Heng

Optomechanical systems have been attracting intensive attention in various physical experiments. With an optomechanical system, the displacement of or the force acting on a mechanical oscillator can be precisely measured by utilizing…

Quantum Physics · Physics 2022-07-28 Takuya Kawasaki , Kentaro Komori , Hiroki Fujimoto , Yuta Michimura , Masaki Ando

We describe a nonlinear interferometric setup to perform a complete optical Bell measurement, i.e. to unambigously discriminate the four polarization entangled EPR-Bell photon pairs. The scheme is robust against detector inefficiency.

Quantum Physics · Physics 2009-10-31 MGA Paris , M Plenio , D Jonathan , S Bose , GM D'Ariano

Recent scientific and technological advances have enabled the detection of gravitational waves, autonomous driving, and the proposal of a communications network on the Moon (Lunar Internet or LunaNet). These efforts are based on the…

Systems and Control · Electrical Eng. & Systems 2022-11-01 Jaime Gonzalo Flor Flores , Talha Yerebakan , Wenting Wang , Mingbin Yu , Dim-Lee Kwong , Andrey Matsko , Chee Wei Wong

Typical applications of gravitational lensing use the properties of electromagnetic or gravitational waves to infer the geometry through which those waves propagate. Nevertheless, the optical fields themselves - as opposed to their…

General Relativity and Quantum Cosmology · Physics 2019-12-10 Abraham I. Harte
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