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The Japan Society of Applied Physics

Component ratio of Laguerre Gaussian mode in the quantized Laguerre Gaussian beam

Miki Hachinohe, Ayano Tanabe, Makoto Kurihara, Nobuyuki Hashimoto, Kayo Ogawa

Published Feb 8, 2018• 0 citations
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Diffractive optics are used to create low- and high-order Laguerre-Gaussian (LG) beams from the output of a diode laser. We examine the mode purities, conversion efficiencies, extinction ratios, and propagation characteristics. We present detailed analyses of the beam profiles for one low-order $({\mathrm{LG}}_{0}^{1})$ and one high-order $({\mathrm{LG}}_{1}^{2})$ Laguerre-Gaussian mode. Modeling the ${\mathrm{LG}}_{1}^{2}$ beam as a superposition of LG modes, we find $(99.3\ifmmode\pm\else\textpm\fi{}0.9%)$ of the laser intensity in the ${\mathrm{LG}}_{1}^{2}$ mode, a mode purity greater than for LG beams created by other methods external to the laser cavity. The high mode purity may be useful in making atom traps for precision measurements and for Bose-Einstein condensation.

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The Japan Society of Applied Physics•Feb 8, 2016•0 citations

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We develop a novel technique to measure small angular and lateral displacements of structured light beams. The technique relies on using high-order Hermite-Gaussian (HG) and Laguerre-Gaussian (LG) modes, which have well-defined symmetry under inversion. We show that the displacements of such fields lead to a crosstalk with modes with opposite parity under inversion, which we measure optimally with an interferometric parity sorter. Using this technique, we achieve improvement factors of up 41 in the signal-to-noise ratio using Hermite-Gaussian modes and 21 using Laguerre-Gaussian modes with order up to 20, as compared to the fundamental Gaussian mode. Our results present a viable way of using structured light for metrology that does not demand quantum light or homodyne detection.

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Journal of Modern Optics•Jan 10, 2006•57 citations

Influence of the radial number of Laguerre-Gaussian vortex beams on their propagation in a turbulent medium

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The paper considers the propagation of Laguerre-Gaussian beams in a turbulent gas medium. As demonstrated by numerical modelling and the decomposition of Laguerre-Gaussian modes according to the basis of orthogonal Zernike polynomials, disparities in the stability of Laguerre-Gaussian modes with differing radial and azimuthal numbers are evident. The demonstration is made of the minimization of the distortion of the transverse beam profile with an increase in the radial number.

physics.opticsCross-listedarXiv:2512.04098•Nov 25, 2025
Diffractive optics are used to create low- and high-order Laguerre-Gaussian (LG) beams from the output of a diode laser. We examine the mode purities, conversion efficiencies, extinction ratios, and propagation characteristics. We present detailed analyses of the beam profiles for one low-order (LG01)({\mathrm{LG}}_{0}^{1})(LG01​) and one high-order (LG12)({\mathrm{LG}}_{1}^{2})(LG12​) Laguerre-Gaussian mode. Modeling the LG12{\mathrm{LG}}_{1}^{2}LG12​ beam as a superposition of LG modes, we find $(99.3\ifmmode\pm\else\textpm\fi{}0.9%)$ of the laser intensity in the LG12{\mathrm{LG}}_{1}^{2}LG12​ mode, a mode purity greater than for LG beams created by other methods external to the laser cavity. The high mode purity may be useful in making atom traps for precision measurements and for Bose-Einstein condensation.
We develop a novel technique to measure small angular and lateral displacements of structured light beams. The technique relies on using high-order Hermite-Gaussian (HG) and Laguerre-Gaussian (LG) modes, which have well-defined symmetry under inversion. We show that the displacements of such fields lead to a crosstalk with modes with opposite parity under inversion, which we measure optimally with an interferometric parity sorter. Using this technique, we achieve improvement factors of up 41 in the signal-to-noise ratio using Hermite-Gaussian modes and 21 using Laguerre-Gaussian modes with order up to 20, as compared to the fundamental Gaussian mode. Our results present a viable way of using structured light for metrology that does not demand quantum light or homodyne detection.
A spatial light modulator (SLM) has been used to create high quality Laguerre–Gaussian (LG) light beams, which have been used to study the guiding of cold rubidium atoms. The SLM allows real-time variation of the hollow guiding beam and permits direct comparison of the guided atom fluxes for different LG modes with minimal adjustment of the other optical components. It is demonstrated that, by increasing the azimuthal index l of the Laguerre–Gaussian beam, the radiation pressure pushing the trapped atoms may be reduced while maintaining the same guided flux. This is the first comparative study of hollow beam atom guiding, and further demonstrates the versatility of the SLM for studies in atom optics.