Second-harmonic generation from a thin spherical layer and No-generation conditions

Kapshaǐ, V. N.; Shamyna, A. A.

doi:10.1134/s0030400x17090144

Cited by 13 publications

(26 citation statements)

References 14 publications

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“…At ρ values close to unity (Fig. 3, c), the shape of the directivity pattern is similar to the one typical of generation in the surface layer of a spherical particle [3]. Radiation with its polarization matching the one of an incident wave is then generated into the forward hemisphere, and radiation with the opposite polarization is generated into the backward hemisphere.…”

Section: Analysis Of Directivity Patternsmentioning

confidence: 53%

“…4, c with σ = −0.5, one can see that the polarizations of radiation generated in the same direction at σ = 0.5 and σ = −0.5 are opposite, while the amplitude remains constant. These features persisted in second-harmonic generation in the surface layer of spherical [3] and cylindrical [2] dielectric particles.…”

Section: Analysis Of Directivity Patternsmentioning

confidence: 87%

“…2, d differs from a linear one in the upper and lower parts of the pattern. No such similarity was observed in the case of generation in the surface layer of a spherical particle [3]. At ρ = 1, which corresponds to a spherical particle shape, the directivity pattern for χ…”

Section: Analysis Of Directivity Patternsmentioning

confidence: 91%

“…The notation used in plotting the patterns is similar to the one from [2][3][4][5]. It is assumed in all directivity patterns that a particle is located at the origin of coordinates.…”

Section: Directivity Patterns Notationmentioning

confidence: 99%

“…1−3 = 0) is canceled out at ρ → 1 (see Part I of the present study). The directivity pattern is then shaped by the term of a higher order of smallness (second-order spherical Bessel function in [3]). The slight deviation of polarization from a linear one in the upper and lower parts of the pattern is attributable exactly to this influence of terms of a higher order of smallness: the left-hand radiation polarization in Fig.…”

Section: Analysis Of Directivity Patternsmentioning

confidence: 99%

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Second-harmonic generation in the surface layer of a dielectric spheroidal particle: II. Analysis of the solution

Shamyna

Kapshaǐ

Talkachov

2022

Optics and Spectroscopy

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The vectors used in the solution of the problem of second-harmonic generation in the surface layer of a dielectric spheroidal particle are explicitly expressed in terms of the basis vectors of the spherical, cylindrical, and Cartesian coordinate systems. Three-dimensional directivity patterns characterizing the spatial distribution of the generated radiation in the far-field region and its polarization are constructed. It is found that for a small size of a spheroidal particle, the directivity pattern due to each of the non-chiral components of the nonlinear dielectric susceptibility tensor has its own individual shape. A proportional increase in the linear dimensions of the particle leads to separation of several directions of predominant radiation with a high directivity in the directivity pattern. If the exciting radiation has a linear polarization, then the generated radiation due to one (any) of the independent components of the tensor is also linearly polarized. Mathematical properties characterizing the spatial distribution of the generated radiation in the far-field region and properties associated with the change of problem parameters are found for the functions used in the solution. A relationship between the symmetries of the directivity patterns of doubled-frequency radiation and the indicated properties is revealed. The conditions under which the generation of radiation does not occur and the conditions under which the generated radiation has a linear polarization are found. The above conditions are related to the features of the spatial distribution of the generated radiation and its polarization, illustrated in the directivity patterns. Methods for estimating the independent components of the nonlinear dielectric susceptibility tensor using these conditions are proposed. Keywords: second-harmonic generation, spheroidal dielectric particle, symmetry of the spatial distribution of radiation, conditions for the absence of generation, conditions for the generation of linearly polarized radiation.

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Section: Analysis Of Directivity Patternsmentioning

confidence: 53%

Section: Analysis Of Directivity Patternsmentioning

confidence: 87%

Section: Analysis Of Directivity Patternsmentioning

confidence: 91%

“…The notation used in plotting the patterns is similar to the one from [2][3][4][5]. It is assumed in all directivity patterns that a particle is located at the origin of coordinates.…”

Section: Directivity Patterns Notationmentioning

confidence: 99%

Section: Analysis Of Directivity Patternsmentioning

confidence: 99%

See 3 more Smart Citations