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Nonlinear Optics and Photonics$
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Guang S. He

Print publication date: 2014

Print ISBN-13: 9780198702764

Published to Oxford Scholarship Online: December 2014

DOI: 10.1093/acprof:oso/9780198702764.001.0001

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Second-Order Nonlinear (Three-Wave) Frequency Mixing

Second-Order Nonlinear (Three-Wave) Frequency Mixing

(p.33) 3 Second-Order Nonlinear (Three-Wave) Frequency Mixing
Nonlinear Optics and Photonics

Guang S. He

Oxford University Press

This chapter discusses the second-order nonlinear three-wave frequency mixing processes that generally include optical second-harmonic generation, optical sum- and difference-frequency generation, optical parametric amplification and oscillation. The most essential feature for these processes is the coupling interaction among three coherent monochromatic light waves in a second-order nonlinear crystal of no central symmetry. Since there is no net energy and momentum exchange between the light (photon) fields and the nonlinear medium, the conservation of energy and momentum holds only among the three interacting waves and therefore requires that certain phase-matching conditions should be fulfilled. In practice, the second-harmonic and/or sum-frequency generation is one of the most efficient techniques for laser frequency upconversion, while the second-order parametric oscillation and/or amplification is a highly useful technique to produce frequency-tunable coherent emission.

Keywords:   Three-wave frequency mixing, second-harmonic generation, sum-frequency generation, difference-frequency generation, parametric oscillation, parametric amplification, phase-matching condition, laser frequency upconversion

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