Results 71 to 80 of about 17,761 (290)

The Atkinson Theorem in Hilbert C*-Modules over C*-Algebras of Compact Operators

Abstract and Applied Analysis, 2007
The concept of unbounded Fredholm operators on Hilbert C*-modules over an arbitrary C*-algebra is discussed and the Atkinson theorem is generalized for bounded and unbounded Feredholm operators on Hilbert C*-modules over C*-algebras of compact operators.
A. Niknam, K. Sharifi
doaj   +1 more source

Open Source for Raman Spectroscopy Data Harmonization

Journal of Raman Spectroscopy, EarlyView.
Open‐source MIT–licensed Python package ramanchada2 collects existing and novel algorithms for generating Raman spectra, reading, visualizing, and processing, with emphasis on instrument calibration. It supports multiple input formats or experimental and simulated spectra and can generate synthetic spectra for data augmentation and benchmarking.
G. Georgiev, N. Coca‐Lopez, D. Lellinger, L. Iliev, E. Marinov, S. Tsoneva, N. Kochev, M. A. Bañares, R. Portela, N. Jeliazkova   +9 more
wiley   +1 more source

On Solving Modified Time Caputo Fractional Kawahara Equations in the Framework of Hilbert Algebras Using the Laplace Residual Power Series Method

Fractal and Fractional
In this work, we first develop the modified time Caputo fractional Kawahara Equations (MTCFKEs) in the usual Hilbert spaces and extend them to analogous structures within the theory of Hilbert algebras.
Faten H. Damag, Amin Saif
doaj   +1 more source

Multi‐Octave All‐Dielectric Directional Coupler Using Integrated Half‐Mirror for Ultrawideband Terahertz Systems

Laser &Photonics Reviews, EarlyView.
Fully exploiting the broad untapped terahertz spectrum necessitates extending the bandwidth of practical guided‐wave systems. This work introduces a substrateless quasi‐optical integration platform to meet this need. Classical optical principles going back to the time of Michelson are adapted to a planar, micro‐machined, monolithic‐silicon platform ...
Daniel Headland, Daniel C. Gallego, Masoud Sakaki, Niels Benson, Guillermo Carpintero   +4 more
wiley   +1 more source

Hilbert Transform and Applications [PDF]

, 2012
When x(t) is narrow-banded, |z(t)| can be regarded as a slow-varying envelope of x(t) while the phase derivative ∂t[tan −1(y/x)] is an instantaneous frequency. Thus, Hilbert transform can be interpreted as a way to represent a narrow-band signal in terms of amplitude and frequency modulation.
openaire   +3 more sources

Mid‐infrared Frequency‐Swept Laser at 50 MScans/s Via Frequency Down‐Conversion of Time‐Stretched Near‐Infrared Pulses

Laser &Photonics Reviews, EarlyView.
A mid‐infrared frequency‐swept source operating is presented at 50 MScans s−1 using frequency down‐conversion of time‐stretched 1.5‐µm pulses generated from an Er‐doped mode‐locked fiber laser. The developed source enables high‐resolution gas‐phase MIR spectroscopy with a bandwidth of 15 cm−1 and a resolution of 0.086 cm−1 at a measurement rate of 50 ...
Makoto Shoshin, Takahiro Kageyama, Takuma Nakamura, Kazuki Hashimoto, Takuro Ideguchi   +4 more
wiley   +1 more source

Photonic Energy‐Coherence Theorem and Experimental Validations

Laser &Photonics Reviews, EarlyView.
A thermodynamic framework for quantum wave‐particle duality is presented, where each behaviors attribute is quantified through the extractable energy of a system. The energy capacity establishes a direct connection to both fringe visibility and path distinguishability. Active control of single‐photon states demonstrates distinct energetic contributions
Yan‐Han Yang, Xin‐Zhu Liu, Jun‐Li Jiang, Hu Chen, Xue Yang, Xiao‐Feng Qian, Shao‐Ming Fei, Ming‐Xing Luo   +7 more
wiley   +1 more source

TDLAS second harmonic demodulation based on Hilbert transform. [PDF]

PLoS One, 2022
Wu J, Chen H, Kang G, Li X.
europepmc   +1 more source

Simultaneous Photoacoustic and Laser‐Induced Ultrasound Imaging of Animals and Humans via a Semi‐Transparent Ultrasound Transducer

Laser &Photonics Reviews, EarlyView.
Combined photoacoustic (PA) and ultrasound (US) imaging commonly requires an external pulser to transmit US waves, making systems relatively complicated and suboptimal. Here simultaneous PA and laser‐induced US imaging is demonstrated without using a US pulser. A semi‐transparent ultrasound transducer converts some portion of excitation laser energy to
Bjarne Perleberg, Sangmin Lee, Peeyush Malik, Donggyu Kim, Joongho Ahn, Jin Young Kim, Won Jong Kim, Jeongwoo Park, Chulhong Kim   +8 more
wiley   +1 more source

Detection and Classification of Double Line to Ground Faults in a 138 kV Six Phase Transmission Line Using Hilbert Huang Transform

International Journal of Electrical Engineering and Applied Sciences, 2019
In this paper, Hilbert Huang transform based technique is introduced to detect and classify double line to ground faults in a 138 kV, 60 Hz, 68 km long six phase transmission line.
Gaurav Kapoor
doaj