Optical Second-Harmonic Generation in Reflection from Media with Inversion Symmetry

Bloembergen, N.; Chang, Richard K.; Jha, Sudhanshu S.; Lee, C. H.

doi:10.1103/physrev.174.813

Cited by 714 publications

(386 citation statements)

References 19 publications

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“…The effects of SH generation, sum-and differencefrequency generation are described by a nonlinear polarization p~2,o), which can be derived from secondorder time-dependent perturbation theory by considering the interaction of the (classical) external fields with the material system [8,9]. With 2(2) denoting the nonlinear susceptibility, p2,o can be written as p2~ = 2(2): E(o~)E(o~), (1) The number of independent tensor components can be considerably reduced by the symmetry operations of the particular process.…”

Section: Theorymentioning

confidence: 99%

Second-harmonic generation in centro-symmetric media

et al. 1987

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Abstract.We have studied the magnetic-dipole and electric-quadrupole contributions to second-harmonic generation (SHG) of centro-symmetric media. It can be shown that the phenomenological parameters e, r, 7 can be arranged to form an effective 2~2)-tensor, which describes dipole-forbidden SHG as the effect of a surface layer upon excitation with a single plane electromagnetic wave. An experimental technique is proposed allowing a determination of the usually very small Y term due to magnetic-dipole interaction using coherent compensation of its contribution by a coverage with an appropriate dye monolayer. PACS: 42.65Second-harmonic (SH) generation at boundaries and interfaces has been developed into a powerful tool for surface characterization since the pioneering work of Shen and coworkers [1][2][3][4]. In particular, surface coverages with effective SH generators such as resonantly excited monolayers of organic dyes have gained increasing scientific interest. Improved experimental detection techniques however, now also allow the observation of small SH signals generated at rather modest laser input energies due to frequency conversion in the substrate material itself. In centrosymmetric media such as glass or fused quartz, SH generation is dipole-forbidden by symmetry reasons. It is the purpose of this contribution to demonstrate both in theory and experiment that SH generation in centrosymmetric media is localized at the surface of these media and hence that the SH process itself can be conveniently described in the format of a surface suscepti-.-.(z) Components of this tensor are the bility tensor z~ 9 phenomenological parameters c~, r, 7, which have been introduced in the early studies on SH generation in [5][6][7]. For the sake of simplicity, we consider an ideal case where the bulk structure of the substrate material extends all the way to the boundary plane. In real cases the inversion symmetry of the bulk is broken in the surface layer and consequently SH generation is allowed in the electric dipole approximation. Following the notation of [4] the discussion of this contribution is limited to the case of a "field discontinuity". TheoryThe effects of SH generation, sum-and differencefrequency generation are described by a nonlinear polarization p~2,o), which can be derived from secondorder time-dependent perturbation theory by considering the interaction of the (classical) external fields with the material system [8,9]. With 2(2) denoting the nonlinear susceptibility, p2,o can be written as p2~ = 2(2): E(o~)E(o~),

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Section: Theorymentioning

confidence: 99%

Second-harmonic generation in centro-symmetric media

et al. 1987

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“…10 reveals a series of even harmonics that are emitted perpendicular to the propagation direction of the incident laser beam (p S). The even harmonic radiation is created from two contributions: the Lorentz force (v × B) and the force due to the quadrupole electric field contribution [58,59]. Both terms are not accounted for in electrostatic MD codes, as can be seen from the green line in Fig.…”

Section: Microscopic Analysis Of Nonlinear Light Scatteringmentioning

confidence: 95%

Light wave driven electron dynamics in clusters

et al. 2014

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The dynamics of solid-density nanoplasmas driven by intense lasers takes place in the strongly-coupled plasma regime, where collisions play an important role. The microscopic particle-in-cell method has enabled the complete classical electromagnetic description of these processes. The theoretical foundation of the approach and its relation to existing methods are reviewed. Selected applications to laser cluster processes are presented that have been inaccessible to numerical simulation so far.

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“…The solution of this equation has been obtained in various forms by differ-2 surface e' ent authors [10,11]. We find…”

Section: Nonlinear Optical Generation From a Surfacementioning

confidence: 97%