Higher-order Hermite-Gauss modes for gravitational waves detection

Ast, S.; Pace, S. Di; Pichot, M.; Turconi, M.; Christensen, N.; Chaibi, W.

doi:10.1103/physrevd.103.042008

Cited by 21 publications

(7 citation statements)

References 63 publications

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“…The need to measure OAM has promoted the development of many methods and techniques with different levels of complexity and performance. [9][10][11][12][13][14][15][16][17] Generally, the generated optical vortex beam can then transmit either in specific vortex fiber or in free-space, and finally the OAM information is demultiplexed. 18,19 Mostly, for the detection of a given OAM value, researchers have presented many methods to detect OAM states.…”

Section: Introductionmentioning

confidence: 99%

Multiwavelength high-order optical vortex detection and demultiplexing coding using a metasurface

et al. 2022

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Orbital angular momentum (OAM) of an optical vortex has attracted great interest from the scientific community due to its significant values in high-capacity optical communications such as mode or wavelength division multiplexer/demultiplexer. Although several configurations have been developed to demultiplex an optical vortex, the multiwavelength high-order optical vortex (HOOV) demultiplexer remains elusive due to lack of effective control technologies. In this study, we present the design, fabrication, and test of metasurface optical elements for multiwavelength HOOV demultiplexing based on optical gyrator transformation transformations in the visible light range. Its realization in a metasurface form enables the combined measurement of OAM, the radial index p, and wavelength using a single optical component. Each wavelength channel HOOV can be independently converted to a high-order Hermitian-Gaussian beam mode, and each of the OAM beams is demultiplexed at the converter output. Furthermore, we extend the scheme to realize encoding of the three-digit gray code by controlling the wavelength or polarization state. Experimental results obtained at three wavelengths in the visible band exhibit good agreement with the numerical modeling. With the merits of ultracompact device size, simple optical configuration, and HOOV recognition ability, our approach may provide great potential applications in photonic integrated devices and systems for high-capacity and demultiplex-channel OAM communication.

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Section: Introductionmentioning

confidence: 99%

Multiwavelength high-order optical vortex detection and demultiplexing coding using a metasurface

et al. 2022

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“…These calculations are all based on the computation of steady-state electromagnetic fields in Fabry-Pérot resonators, which OSCAR provides using mathematical approaches from the field of Fourier optics. Several publications have used this library in research areas like gravitational wave detection, [2][3][4] suppression or compensation for thermal effects, 5,6 and many other fields of current research. 7,8 Additionally to the functionalities above, the Free Spectral Range (FSR) of Fabry-Pérot cavities can be estimated, which represents a complex and time-consuming simulation, which is therefore usually only performed with low lateral resolution due to time constraints.…”

Section: Introductionmentioning

confidence: 99%

GPU implementation of FSR simulations: performance improvements and limitations

Melchert

Degallaix²,

Hinz³

et al. 2022

Optics and Photonics for Information Processing XVI

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Numerical simulation to calculate the free spectral range scans (FSR scans) of laser resonators is a computationally intensive task. OSCAR is a well-established Matlab toolbox that enables for such simulations based on Fourier optics. Any arbitrary discrete complex electromagnetic input fields as well as misalignment or mismatching of resonators can be considered in the FSR simulation. Unfortunately, it currently only features CPU based calculations on one or more CPU cores. However, the computational cost increases exponentially with increasing lateral resolution of the complex electromagnetic fields. In addition, only a limited number of roundtrips can be carried out in an acceptable computation time, which limits the applicability only to low finesse resonators. Due to good parallelizability of the FSR scan calculation, this numerical computation is very well suited for modern graphics cards, which are outstanding in performing many calculations in parallel. This paper introduces the extension of FSR scan simulations on modern graphics cards (GPUs) within the OSCAR Toolbox. First, a statistical analysis is provided, that presents the massive performance improvement compared to CPU computations. Subsequently, the disadvantages in the form of memory limitations of GPUs are outlined. Therefore, generally valid data is presented, from which a trade-off between lateral resolution of the complex electromagnetic fields and the number of roundtrips to be performed can be derived. In conclusion, the great potentials of new applications are highlighted, which were previously not feasible. Any code of this GPU implementation discussed in this paper has been integrated into the OSCAR Matlab Toolbox and is made available open source on GitHub.

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“…Different forms of the Hermite-Gauss functions have seen wide usage in physics and chemistry, e.g., in the context of detection of gravitational waves [4,16], quantum encoding [2] and communication [10], quantum entanglement with Hermite-Gauss beams [17], self-healing [1] and non-diffracting [5] (elegant) Hermite-Gauss beams, detection beyond the diffraction limit [11], Goos-Hänchen shift on reflection of a graphene monolayer [18], soft X-ray orbital angular momentum analysis [9], turbulence-resistant laser beams [6], and for numeric integration [12]. This list is far from exhaustive.…”

Section: Introductionmentioning

confidence: 99%

On the Properties of the Anisotropic Multivariate Hermite-Gauss Functions

Steinberg,

Eğecioğlu,

Yan

2021

Preprint

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The Hermite-Gauss basis functions have been extensively employed in classical and quantum optics due to their convenient analytic properties. A class of multivariate Hermite-Gauss functions, the anisotropic Hermite-Gauss functions, arise by endowing the standard univariate Hermite-Gauss functions with a positive definite quadratic form. These multivariate functions admit useful applications in optics, signal analysis and probability theory, however they have received little attention in literature. In this paper, we examine the properties of these functions, with an emphasis on applications in computational optics.

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Higher-order Hermite-Gauss modes for gravitational waves detection

Cited by 21 publications

References 63 publications

Multiwavelength high-order optical vortex detection and demultiplexing coding using a metasurface

Multiwavelength high-order optical vortex detection and demultiplexing coding using a metasurface

GPU implementation of FSR simulations: performance improvements and limitations

On the Properties of the Anisotropic Multivariate Hermite-Gauss Functions

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