Wave mixing and spatial structures in cholesteric liquid crystals
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| Natura: | Artículo científico |
| Lingua: | en |
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Sociedad Mexicana de Física A.C.
2006
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| _version_ | 1876427534337310720 |
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| author | C.G. Avendaño |
| author_facet | C.G. Avendaño |
| contents | Wave mixing and spatial structures in cholesteric liquid crystals C.G. Avendaño J.A. Reyes Física, Astronomía y Matemáticas Ginzburg Reflection band Landau equation helical systems nonlinear coupling We study theoretically the wave mixing of axially propagating narrow beams in a cholesteric liquid crystal whose wave numbers are within the band reflection. We extend a previously derived formalism, based on the superposition of four wavepackets centered around the linear ̈ eigenmodes of the helical structure. Under special conditions the coupled equation reduces to an extended nonlinear Schrodinger equation with space-dependent coefficients for the system of propagating eigenwaves and to an extended real Ginzburg-Landau equation for the system of stationary eigenwaves. We deduce expressions that reveal the exchanging of energy among the four modes due to linear and nonlinear coupling, and we show that the energy is exponentially shared for the two evanescent modes, and is periodically shared for counter-propagating traveling modes. For wavelengths lying outside the band gap, all four modes periodically exchange their energy. 2006 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57028296003 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.5 Vol.52 |
| format | Artículo científico |
| id | redalyc_57028296003 |
| institution | Redalyc |
| language | en |
| publishDate | 2006 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | Wave mixing and spatial structures in cholesteric liquid crystals C.G. Avendaño Física, Astronomía y Matemáticas Ginzburg Reflection band Landau equation helical systems nonlinear coupling Wave mixing and spatial structures in cholesteric liquid crystals C.G. Avendaño J.A. Reyes Física, Astronomía y Matemáticas Ginzburg Reflection band Landau equation helical systems nonlinear coupling We study theoretically the wave mixing of axially propagating narrow beams in a cholesteric liquid crystal whose wave numbers are within the band reflection. We extend a previously derived formalism, based on the superposition of four wavepackets centered around the linear ̈ eigenmodes of the helical structure. Under special conditions the coupled equation reduces to an extended nonlinear Schrodinger equation with space-dependent coefficients for the system of propagating eigenwaves and to an extended real Ginzburg-Landau equation for the system of stationary eigenwaves. We deduce expressions that reveal the exchanging of energy among the four modes due to linear and nonlinear coupling, and we show that the energy is exponentially shared for the two evanescent modes, and is periodically shared for counter-propagating traveling modes. For wavelengths lying outside the band gap, all four modes periodically exchange their energy. 2006 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57028296003 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.5 Vol.52 |
| title | Wave mixing and spatial structures in cholesteric liquid crystals |
| topic | Física, Astronomía y Matemáticas Ginzburg Reflection band Landau equation helical systems nonlinear coupling |
| url | https://www.redalyc.org/articulo.oa?id=57028296003 |