Topic
Euler force
About: Euler force is a research topic. Over the lifetime, 512 publications have been published within this topic receiving 6191 citations.
Papers published on a yearly basis
1 / 2
Papers
Patent•
15 Aug 2008
TL;DR: In this article, a rotation motion of an input device around a predetermined direction as a rotation axis is determined by comparing a start point in a two-dimensional coordinate system which is represented by the first acceleration data obtained in a predetermined period, and an end point in the 2D coordinate system, representing the last acceleration data received in the predetermined period.
Abstract: Acceleration data which is output from an acceleration sensor is obtained. A rotation motion of an input device around a predetermined direction as a rotation axis is determined by comparing a start point in a two-dimensional coordinate system which is represented by the first acceleration data obtained in a predetermined period, and an end point in the two-dimensional coordinate system which is represented by the last acceleration data obtained in the predetermined period. Coordinate axes of the two-dimensional coordinate system are defined based on components of the two axial directions of the acceleration data, and an origin of the two-dimensional coordinate system represents a value of the acceleration data in the state where no acceleration including the acceleration of gravity acts upon the acceleration sensor. Motion data including at least the determined rotation motion is output.
209 citations
Patent•
25 Apr 2006
TL;DR: In this paper, a rotation motion of an input device around a predetermined direction as a rotation axis is determined by comparing a start point in a two-dimensional coordinate system which is represented by the first acceleration data obtained in a predetermined period, and an end point in the 2D coordinate system, representing the last acceleration data received in the predetermined period.
Abstract: Acceleration data which is output from an acceleration sensor is obtained. A rotation motion of an input device around a predetermined direction as a rotation axis is determined by comparing a start point in a two-dimensional coordinate system which is represented by the first acceleration data obtained in a predetermined period, and an end point in the two-dimensional coordinate system which is represented by the last acceleration data obtained in the predetermined period. Coordinate axes of the two-dimensional coordinate system are defined based on components of the two axial directions of the acceleration data, and an origin of the two-dimensional coordinate system represents a value of the acceleration data in the state where no acceleration including the acceleration of gravity acts upon the acceleration sensor. Motion data including at least the determined rotation motion is output.
126 citations
TL;DR: In this paper, a class of light fields that angularly accelerates during propagation is introduced, and the acceleration can be controlled by adjustment of a single parameter, and tuned continuously, down to no acceleration at all.
Abstract: We introduce a class of light field that angularly accelerates during propagation. We show that the acceleration (deceleration) may be controlled by adjustment of a single parameter, and tuned continuously, down to no acceleration at all. As the angular acceleration takes place in a bounded space, the azimuthal degree of freedom, such fields accelerate periodically as they propagate. Notably, the amount of angular acceleration is not limited by paraxial considerations, may be tailored for large accelerations over arbitrarily long distances, and can be engineered independently of the beam’s spatial extent. We discuss how such angularly accelerating light fields can maintain the conservation of angular momentum through an energy exchange mechanism across the field.
102 citations
Patent•
27 Apr 2004TL;DR: In this paper, a micro-machined multi-sensor that provides 1-axis of acceleration sensing and 2-axes of angular rate sensing is presented. But the acceleration sense electrode structures are disposed along lateral and longitudinal axes of the respective mass.
Abstract: A micro-machined multi-sensor that provides 1-axis of acceleration sensing and 2-axes of angular rate sensing. The multi-sensor includes a plurality of accelerometers, each including a mass anchored to and suspended over a substrate by a plurality of flexures. Each accelerometer further includes acceleration sense electrode structures disposed along lateral and longitudinal axes of the respective mass. The multi-sensor includes a fork member coupling the masses to allow relative antiphase movement, and to resist in phase movement, of the masses, and a drive electrode structure for rotationally vibrating the masses in antiphase. The multi-sensor provides electrically independent acceleration sense signals along the lateral and longitudinal axes of the respective masses, which are added and/or subtracted to obtain 1-axis of acceleration sensing and 2-axes of angular rate sensing.
97 citations
TL;DR: In this paper, the authors used caustic beam shaping on 100 fs pulses to experimentally generate non-paraxial accelerating beams along a 60 degree circular arc, moving laterally by 14 µm over a 28 µm propagation length.
Abstract: We use caustic beam shaping on 100 fs pulses to experimentally generate non-paraxial accelerating beams along a 60 degree circular arc, moving laterally by 14 \mum over a 28 \mum propagation length. This is the highest degree of transverse acceleration reported to our knowledge. Using diffraction integral theory and numerical beam propagation simulations, we show that circular acceleration trajectories represent a unique class of non-paraxial diffraction-free beam profile which also preserves the femtosecond temporal structure in the vicinity of the caustic.
88 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 5 |
| 2020 | 3 |
| 2019 | 9 |
| 2018 | 9 |
| 2017 | 9 |
| 2016 | 10 |