Analytical solution for the field in photonic structures containing cubic nonlinearity
In: Optics Communications, Jg. 259 (2006-03-01), Heft 1, S. 342-349
Online
academicJournal
Abstract: In this work, we consider the exact solution of the stationary cubic nonlinear equation in a semi-infinite nonlinear medium in contact with a one-dimensional photonic crystal. Two kinds of analytical solutions are found for an arbitrary magnitude of the nonlinearity: a standing-wave-like one containing the inverse elliptic function Eli(ϕ∣m), and a one-wave-type solution for transmitted TE-polarized waves. An approximate two-wave solution is proposed to describe the field propagation through the nonlinear film covering the photonic crystal. It is shown that the problem of a mixed linear–nonlinear structure may be reduced to a transcendental kernel equation determining the field inside the nonlinear part of the medium. The light reflection from a Si/SiO2 layered structure in contact with an optically nonlinear medium is calculated. The angular-frequency photonic band diagram and power dependency are investigated. Local interface waveguide modes are considered. [Copyright &y& Elsevier]
Titel: |
Analytical solution for the field in photonic structures containing cubic nonlinearity
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Autor/in / Beteiligte Person: | Glushko, E. ; Ya. |
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Zeitschrift: | Optics Communications, Jg. 259 (2006-03-01), Heft 1, S. 342-349 |
Veröffentlichung: | 2006 |
Medientyp: | academicJournal |
ISSN: | 0030-4018 (print) |
DOI: | 10.1016/j.optcom.2005.08.065 |
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