Managing orbital angular momentum in second-harmonic generation

Li, Simin; Kong, Ling‐Jun; Ren, Zhi-Cheng; Li, Yongnan; Tu, Chenghou; Wang, Hui-Tian

doi:10.1103/physreva.88.035801

Cited by 44 publications

(27 citation statements)

References 23 publications

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“…In appendix A, the calculation of the corresponding overlap integral is detailed and two selection rules are derived. The first one leads to the expected OAM conservation, already discussed in previous works [40,41,43,48,49]. The second one is less obvious and predicts that higher radial orders are generated in the second harmonic field when opposite helicities are combined in the nonlinear process.…”

Section: A Effective Nonlinear Mode Couplingmentioning

confidence: 69%

“…It has already been investigated in frequency up [38][39][40][41][42][43][44][45][46], and down [47][48][49] conversion, optical parametric oscillation [50][51][52][53], four-wave mixing in atomic vapors [54,55] and high harmonic generation [56,57]. The control of the nonlinear optical interaction through polarization has been also considered both in the quantum [3] and classical regimes [41,58].…”

Section: Introductionmentioning

confidence: 99%

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Orbital-angular-momentum mixing in type-II second-harmonic generation

Pereira¹,

Buono²,

Tasca³

et al. 2017

Phys. Rev. A

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We investigate the non linear mixing of orbital angular momentum in type II second harmonic generation with arbitrary topological charges imprinted on two orthogonally polarized beams. Starting from the basic nonlinear equations for the interacting fields, we derive the selection rules determining the set of paraxial modes taking part in the interaction. Conservation of orbital angular momentum naturally appears as the topological charge selection rule. However, a less intuitive rule applies to the radial orders when modes carrying opposite helicities are combined in the nonlinear crystal, an intriguing feature confirmed by experimental measurements.

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Section: A Effective Nonlinear Mode Couplingmentioning

confidence: 69%

Section: Introductionmentioning

confidence: 99%

Orbital-angular-momentum mixing in type-II second-harmonic generation

Pereira¹,

Buono²,

Tasca³

et al. 2017

Phys. Rev. A

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“…Besides spin angular momentum (SAM) associated with circular polarization, with two possible quantized values of ± ħ , a scalar ( homogeneously polarized ) vortex light field with a helical phase of exp( jmϕ ) could also carry an intrinsic and eigen orbital angular momentum (OAM) of mħ per photon 1 . The photon OAM, as a new fundamental controlling degree of freedom and infinite quantum states of photons, has intrigued a broad interest 2 3 , due to its important applications in a variety of realms 4 5 6 7 8 9 10 11 12 13 14 . The concept of the photon OAM has been extended to other waves such as electron beams 15 , x ray 16 , radio wave 17 , and matter wave 18 .…”

mentioning

confidence: 99%

Arbitrarily tunable orbital angular momentum of photons

Pan

Gao

Ren

et al. 2016

Sci Rep

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Orbital angular momentum (OAM) of photons, as a new fundamental degree of freedom, has excited a great diversity of interest, because of a variety of emerging applications. Arbitrarily tunable OAM has gained much attention, but its creation remains still a tremendous challenge. We demonstrate the realization of well-controlled arbitrarily tunable OAM in both theory and experiment. We present the concept of general OAM, which extends the OAM carried by the scalar vortex field to the OAM carried by the azimuthally varying polarized vector field. The arbitrarily tunable OAM we presented has the same characteristics as the well-defined integer OAM: intrinsic OAM, uniform local OAM and intensity ring, and propagation stability. The arbitrarily tunable OAM has unique natures: it is allowed to be flexibly tailored and the radius of the focusing ring can have various choices for a desired OAM, which are of great significance to the benefit of surprising applications of the arbitrary OAM.

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“…The nonlinear generation process enables vortex beams to be obtained at new wavelengths, which opens up new possibilities for all-optical switching and manipulation of vortex beams. Hence, second harmonic generation (SHG) [11][12][13][14], sum-frequency generation [11][12][13], difference frequency generation [12] and even high-harmonic [15][16][17] of the vortex beam has been investigated. To get SHG of the vortex beam, there are two main methods.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vortex beam array generation by spatially modulated fundamental wave

Li¹,

Liu²,

Chen³

2017

Opt. Express

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We experimentally demonstrated the generation of a dynamic nonlinear vortex beam array by utilizing a fundamental wave with a modulated phase structure, which was incident into a homogeneous nonlinear medium. In our experiment, one-dimensional and twodimensional second harmonic vortex beam arrays were investigated, and the topological charge of second harmonic vortex beam of different order was measured. This study presents a method of dynamic control of the nonlinear vortex beam array, which may have applications in multiple-particles optical trapping, optical communication, and so on.

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Managing orbital angular momentum in second-harmonic generation

Cited by 44 publications

References 23 publications

Orbital-angular-momentum mixing in type-II second-harmonic generation

Orbital-angular-momentum mixing in type-II second-harmonic generation

Arbitrarily tunable orbital angular momentum of photons

Nonlinear vortex beam array generation by spatially modulated fundamental wave

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