Large astigmatic laser cavity modes and astigmatic compensation

Huang, Teng De; Lu, Ting-Hua

doi:10.1007/s00340-018-6943-8

Cited by 9 publications

(6 citation statements)

References 18 publications

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“…Here, we use a simplified model of an astigmatic cavity to illustrate how this influences the SHG. Additional distortion of the resonant modes or scattering into other modes (see, e.g., [16,17]) are neglected. The model considers a linear cavity with a plane mirror (radius of curvature R c 1 = ∞) and a mirror that features two different radii of curvature R c 2,x and R c 2,y on the x and y axis, respectively (z defines the optical axis in this case).…”

mentioning

confidence: 99%

Frequency-doubling of continuous laser light in the Laguerre–Gaussian modes LG_0,0 and LG_3,3

2020

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For future generations of gravitational wave detectors, it is proposed to use the helical Laguerre-Gaussian LG 3,3 mode to reduce thermal noise, which limits the detector sensitivity. At the same time, this requires the efficient generation of squeezed vacuum states in the LG 3,3 mode for quantum noise reduction. Since this technique includes the process of second harmonic generation (SHG), we experimentally compare the conversion efficiency and harmonic output field of the LG 0,0 and LG 3,3 modes in a cavity-enhanced SHG using the same 7% doped MgO:LiNbO 3 crystal. Conversion efficiencies of 96% and 45% are achieved, respectively. The influence of mode mismatches and astigmatism is analyzed to estimate the ratio of the pump mode-dependent effective nonlinearities to be d 0,0 /d 3,3 ∼ 5. Furthermore, we show that absorption loss in the crystal is more relevant for the LG 3,3 mode.

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confidence: 99%

Frequency-doubling of continuous laser light in the Laguerre–Gaussian modes LG_0,0 and LG_3,3

2020

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“…An asymptotic relation for the Tricomi function in equation ( 5), which appears as a factor in the amplitude relation (8), takes the form [27]:…”

Section: Kummer's and Tricomi Function Zerosmentioning

confidence: 99%

“…For instance, the propagation of a HG beam in a 4 × 4 optical system, including an astigmatic one, was investigated in [2,3], whereas [4] was concerned with a Hermite-LG beam traveling in an astigmatic mode converter. Also, focusing of a high-order optical vortex (OV) with an astigmatic lens [5,6], conversion of an astigmatic sin-Gaussian beam in a nonlinear medium [7], and an astigmatic mode conversion in a laser cavity [8,9] have been reported. Elliptic optical Gaussian beams with astigmatic phase were investigated in [10,11], at first with the conversion of an HG beam (0, n) by means of a tilted cylindrical lens and later by studying a mode beam in which a conventional OV with the charge n. In the last case, the charge embedded into an elliptic astigmatic Gaussian beam remains unchanged upon propagation, not splitting into a bunch of simple OVs.…”

Section: Introductionmentioning

confidence: 99%

An astigmatic transform of a fractional-order edge dislocation

Kotlyar¹,

Abramochkin²,

Kovalev³

et al. 2022

J. Opt.

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In this work, it is theoretically and numerically demonstrated that an astigmatic transformation of a νth-order edge dislocation (shaped as a zero-intensity straight line) of a coherent light field – where ν = n+α is a real positive number, n is integer, and 0 < α < 1 is fractional – produces n optical elliptic vortices (screw dislocations) with topological charge –1, which are arranged on a straight line perpendicular to the edge dislocation and found at Tricomi function zeros. We also reveal that at a distance from the said optical vortices (OV), an extra OV with charge –1 is born on the same straight line, which departs to the periphery with α tending to zero, or gets closer to the n OVs with α tending to 1. Additionally, we find that a countable number of OVs (intensity nulls) with charge –1 are produced at the field periphery and arranged on diverging hyperbolic curves equidistant from the straight line of the n main intensity nulls. These additional OVs, which we term as “escort”, either approach the beam center, accompanying the extra “companion” OV if 0 < α < 0.5, or depart to the periphery, whereas the “companion” keeps close to the main OVs if 0.5 < α < 1. At α = 0 or α = 1, the “escort” OVs are shown to be at infinity. At fractional ν, the topological charge (TC) of the whole optical beam is theoretically shown to be infinite. Numerical simulation results are in agreement with the theoretical findings.

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“…Преобразования астигматического sin-Гауссова пучка в нелинейной среде рассматривались в [7]. В [8,9] исследовалось астигматическое модовое преобразование внутри лазерного резонатора. Оптические эллиптические Гауссовы вихри с астигматической фазой рассматривались ранее в [10,11].…”

Section: Introductionunclassified

Astigmatic transformation of a fractional-order edge dislocation

et al. 2022

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It is shown theoretically that an astigmatic transformation of an edge dislocation (straight line of zero intensity) of the ν-th order (ν=n+α is a real positive number, n is integer, 0<α<1 is the fractional part of the number) forms at twice the focal length from a cylindrical lens n optical elliptical vortices (screw dislocations) with a topological charge of –1, located on a straight line perpendicular to the edge dislocation. Coordinates of these points are zeros of the Tricomi function. At some distance from these vortices and on the same straight line, another additional vortex with a topological charge of –1 is also generated, which moves to the periphery if α decreases to zero, or approaches n vortices if α tends to 1. In addition, at the periphery in the beam cross-section, a countable number of optical vortices (intensity zeros) are formed, all with a topological charge of –1, which are located on diverging curved lines (such as hyperbolas) equidistant from a straight line on which the main n intensity zeros are located. These "accompanying" vortices approach the center of the beam, following the additional "passenger" vortex, if 0<α<0.5, or move to the periphery, leaving the "passenger" next to the main vortices, if 0.5<α<1. At α=0 and α=1, the "accompanying" vortices are situated at infinity. The topological charge of the entire beam at fractional ν is infinite. The numerical simulation confirms theoretical predictions.

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Large astigmatic laser cavity modes and astigmatic compensation

Cited by 9 publications

References 18 publications

Frequency-doubling of continuous laser light in the Laguerre–Gaussian modes LG_0,0 and LG_3,3

Frequency-doubling of continuous laser light in the Laguerre–Gaussian modes LG_0,0 and LG_3,3

An astigmatic transform of a fractional-order edge dislocation

Astigmatic transformation of a fractional-order edge dislocation

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Large astigmatic laser cavity modes and astigmatic compensation

Cited by 9 publications

References 18 publications

Frequency-doubling of continuous laser light in the Laguerre–Gaussian modes LG0,0 and LG3,3

Frequency-doubling of continuous laser light in the Laguerre–Gaussian modes LG0,0 and LG3,3

An astigmatic transform of a fractional-order edge dislocation

Astigmatic transformation of a fractional-order edge dislocation

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Frequency-doubling of continuous laser light in the Laguerre–Gaussian modes LG_0,0 and LG_3,3

Frequency-doubling of continuous laser light in the Laguerre–Gaussian modes LG_0,0 and LG_3,3