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
II. Optical Necklace States
Phase Study of Optical Necklace States
Junying Huang and Luwei Zhou
Phys. Dept., Fudan Univ., Shanghai, People’s Republic of China
Our calculation shows that the phases couple to a ring in localized states when randomized in nonlocalized states.
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