Coherence length for second-harmonic generation in nonlinear, one-dimensional, finite, multilayered structures
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Mattiucci, Nadia; et al.; Coherence length for second-harmonic generation in nonlinear, one-dimensional, finite, multilayered structures; Journal of the Optical Society of America B Vol. 24, Issue 4, pp. 877-886 (2007); https://www.osapublishing.org/josab/abstract.cfm?uri=josab-24-4-877
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This work was written as part of one of the author's official duties as an Employee of the United States Government and is therefore a work of the United States Government. In accordance with 17 U.S.C. 105, no copyright protection is available for such works under U.S. Law.
Public Domain Mark 1.0
This work was written as part of one of the author's official duties as an Employee of the United States Government and is therefore a work of the United States Government. In accordance with 17 U.S.C. 105, no copyright protection is available for such works under U.S. Law.
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Abstract
We find an analytic expression for second-harmonic conversion efficiency (both forward and backward) in generic, 1D, finite, multilayered structures, where the respective roles of effective phase-matching conditions and field overlap are clearly identified. Our approach places the notions of effective index and effective phase-matching conditions on a more solid theoretical ground and clarifies the meaning and the limits of applicability of these concepts. We also define a coherence length for the process in an unambiguous way and point out similarities and differences with the coherence length that is usually defined for bulk materials. Finally, we address the role played by absorption and provide numerical examples that confirm the analytical results found.