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2010-6-5.
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2010-6-5 Localization will always occur in one dimension systems. But far away from the localized length, there still exist nonlocalized modes, which is so called necklace states. This has been observed in the periodic silicon layers. Here, we use the scattering matrix theory to study the phases between the localized and nonlocalized, which shows that the phases couple to a ring in localized states when randomized in nonlocalized states. I. Scattering Matrix Transfer One surface Several surfaces … II. Optical Necklace States III. Phase … Phase Study of Optical Necklace States Junying Huang and Luwei Zhou Phys. Dept., Fudan Univ., Shanghai, People’s Republic of China V. Conclusions Our calculation shows that the phases couple to a ring in localized states when randomized in nonlocalized states. References: [1] Jacopo Bertolotti et.al, PRL. 94,113903 [2] J. B. Pendry, J. Phys. C. 20, 733 [3] M V Berry & S Klein, Eur.J.Phys.18,222