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Physical Review A

Nonlinear optical generation with reduced absorption using electric-field coupling in atomic hydrogen

K. Hakuta, L. Marmet, Boris Peter Stoicheff

Published Apr 1, 1992• 83 citations
Publisher

Abstract

Resonantly enhanced second-harmonic generation in atomic hydrogen was investigated near 121.6 nm. With the application of a dc electric field, it is shown that coupling of the 2s and 2p states produces resonantly enhanced nonlinear susceptibility and reduced absorption at the second-harmonic wavelength, resulting in an increased net efficiency of the second-harmonic-generation process.

DOI
10.1103/physreva.45.5152

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Resonantly enhanced second-harmonic generation in atomic hydrogen was investigated near 121.6 nm. With the application of a dc electric field, it is shown that coupling of the 2s and 2p states produces resonantly enhanced nonlinear susceptibility and reduced absorption at the second-harmonic wavelength, resulting in an increased net efficiency of the second-harmonic-generation process.
Second harmonic generation (SHG) in free atoms is one of the unsolved problems in nonlinear optics. The most probable mechanism is due to Stark mixing between nearby excited states through an electric field caused by charge separation through the process of three-photon ionization. To test the mechanism, atomic hydrogen appears to be the best candidate because of its well-known electronic structure and large dipole moments of its excited states. In this work we report on the observation of SHG in atomic hydrogen in the Lyman-α region. Pulsed dye laser radiation was doubled and tuned to 243 nm for excitation of the 2s ← 1s transition at 121.6 nm by a two-photon resonance process. A cw atomic beam was used with hydrogen atoms generated in a dc discharge of H2 gas. The laser beam was focused ~1 mm below the nozzle where the hydrogen atom density was estimated to be 1013 cm−3. The second harmonic radiation was strongly enhanced by adding an external dc field of up to 10 kV/cm. Stark splitting was clearly observed at higher fields.
A unique set of circumstances makes the Rydberg states of atoms ideal for mediating tunable, resonantly enhanced, nonlinear optical interactions. The application of a dc electric field to a vapor of such atoms can induce a second-order or\chi^{(2)}nonlinear susceptibility, which in the absence of the applied field would be forbidden by reasons of symmetry. This paper presents an exact expression, valid within the hydrogenic approximation for field strengths that produce a linear Stark effect, for the resonant contribution to the dc-electric-field-induced\chi^{(2)}susceptibility. Numerical evaluation of this expression for field strengths of the order of 103V/cm predict\chi^{(2)}susceptibilities hundreds of times larger than those of conventional mixing crystals.