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By introducing a new entangled state representation, we show that the Laguerre-Gaussian (LG) mode is just the wave function of the common eigenvector of the orbital angular momentum and the total photon number operators of 2-d oscillator,…

Quantum Physics · Physics 2010-08-31 Li-yun Hu , Hong-yi Fan

A fourth-order time-splitting Laguerre-Hermite pseudospectral method is introduced for Bose-Einstein condensates (BEC) in 3-D with cylindrical symmetry. The method is explicit, unconditionally stable, time reversible and time transverse…

Condensed Matter · Physics 2017-01-10 Weizhu Bao , Jie Shen

Laser absorption spectroscopy (LAS) is a well-established technique for non-intrusive measurement of gas species in combustion and atmospheric environments, but conventional methods struggle with multi-species mixtures under dynamic or…

Optics · Physics 2026-05-05 Mohamed Sy

We present a new technique to calculate the spectral lags of gamma-ray bursts (GRBs). Unlike previous processing methods, we first smooth the light curves of gamma-ray bursts in high and low energy bands using the "Loess" filter, then, we…

High Energy Astrophysical Phenomena · Physics 2015-06-04 Zhao-sheng Li , Li Chen , De-hua Wang

Light's spatial properties represent an infinite state space, making it attractive for applications requiring high dimensionality, such as quantum mechanics and classical telecommunications, but also inherently spatial applications such as…

Constant-envelope signals are widely used in mobile edge applications and wireless communication systems for their hardware-friendly design, energy efficiency, and reliability. However, reliable detection with simple, power-efficient…

Signal Processing · Electrical Eng. & Systems 2025-11-25 Mu Jia , Junting Chen , Ying-Chang Liang , Pooi-Yuen Kam

We study selective upconversion of optical signals according to their detailed transverse electromagnetic modes, and demonstrate its proof of operations in a nonlinear crystal. The mode selectivity is achieved by preparing the pump wave in…

Optics · Physics 2019-01-30 Santosh Kumar , He Zhang , Stephanie Maruca , Yu-Ping Huang

We present a design to generate structurally propagation invariant light beams carrying non-integer orbital angular momentum (OAM) using Hermite-Laguerre-Gaussian (HLG) modes. Different from previous techniques, the symmetry axes of our…

Optics · Physics 2013-03-25 A. M. Nugrowati , W. G. Stam , J. P. Woerdman

We demonstrate optical limiting using the self-lensing effect of a higher-order Laguerre-Gaussian beam in a thin dye-doped polymer sample, which we find is consistent with our model using Gaussian decomposition. The peak phase shift in the…

Optics · Physics 2009-11-13 Weiya Zhang , Mark G. Kuzyk

The application of higher-order Laguerre Gauss (LG) modes in large-scale gravitational wave detectors has recently been proposed. In comparison to the fundamental mode, some higher-order Laguerre Gauss modes can significantly reduce the…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Simon Chelkowski , Stefan Hild , Andreas Freise

Laguerre-Gaussian (LG) beams carry orbital angular momentum (OAM) as a consequence of a singularity in their phase profile. In this work, we probe the OAM of LG beams using a movable single slit. We invoke the method of stationary phase to…

Optics · Physics 2019-05-15 Jadze Princeton Narag , Nathaniel Hermosa

Elastic light scattering has been extensively used to study samples showing a non uniform refraction index on lengthscales from a fraction of a micrometer to a fraction of a millimeter. Typically, a wide laser beam is sent through the…

Optics · Physics 2009-07-21 Doriano Brogioli

Compact Free-Electron Lasers (FELs) offering broad, continuous spectral tunability are traditionally constrained by fixed-parameter magnetic structures and the necessity for high-energy electron beams. High-gain Harmonic Lasing (HL) has…

Photon pairs generated via spontaneous parametric down-conversion (SPDC) can exhibit entanglement in the Laguerre-Gaussian (LG) mode basis, which enables high-dimensional free-space quantum communication by exploiting the high-dimensional…

Quantum Physics · Physics 2025-07-03 Jungmo Lee , Kyungdeuk Park , Dongkyu Kim , Yonggi Jo , Dong-Gil Im , Yong Sup Ihn

We propose a new method of optical lattice modulation spectroscopy for studying the spectral function of ultracold bosons in an optical lattice. We show that different features of the single particle spectral function in different quantum…

Quantum Gases · Physics 2015-03-18 Rajdeep Sensarma , K. Sengupta , S. Das Sarma

X-ray free electron lasers (XFELs) generate sequences of ultra-short, spatially coherent pulses of x-ray radiation. We propose the diffraction focusing spectrometer (DFS), which is able to measure the whole energy spectrum of the radiation…

Optics · Physics 2013-02-22 V. G. Kohn , O. Y. Gorobtsov , I. A. Vartanyants

In this paper, we develop a novel framework to optimally design spectral estimators for phase retrieval given measurements realized from an arbitrary model. We begin by deconstructing spectral methods, and identify the fundamental…

Signal Processing · Electrical Eng. & Systems 2020-12-14 Bariscan Yonel , Birsen Yazici

The compatibility of higher-order Laguerre-Gauss (LG) modes with interferometric technologies commonly used in gravitational wave detectors is investigated. In this paper we present the first experimental results concerning the performance…

Instrumentation and Methods for Astrophysics · Physics 2015-03-17 Paul Fulda , Keiko Kokeyama , Simon Chelkowski , Andreas Freise

We report an efficient experimental method for generating high-order Laguerre-Gauss (HOLG) modes by simply coupling a Gaussian beam into the cladding of a multimode fiber (MMF). In particular, the order of the HOLG mode remains invariant…

The high-precision solution of the radial Dirac equation is fundamental to relativistic quantum chemistry, essential for reliable pseudopotential generation and all-electron electronic structure methods. However, standard basis-set…

Numerical Analysis · Mathematics 2026-04-14 Sheng Chen , Sihong Shao , Shuai Wu