Symmetrical invariant transformation of localization length in one-dimensional randomly-perturbed periodic structure | Zendy

Han Peng | Zendy; HeZhou Wang | Zendy

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Symmetrical invariant transformation of localization length in one-dimensional randomly-perturbed periodic structure

Author(s) -

Han Peng,

HeZhou Wang

Publication year - 2005

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.54.338

Subject(s) - invariant (physics) , transformation (genetics) , physics , transformation matrix , transfer matrix , mathematical analysis , mathematics , classical mechanics , mathematical physics , computer science , biochemistry , chemistry , kinematics , computer vision , gene

Based on the spectral symmetry of the one-dimensional periodic structure, a new invariant transformation, named symmetrical invariant transformation, of localization length is presented for the one-dimensional randomly-perturbed periodic structure. The validity of the transformation is confirmed by numerical stimulations performed by means of transfer-matrix method. Since the symmetrical invariant transformation explores an equivalent relation of localization length at different frequencies between different structures, it is expected to provide a new tool for further investigation of the light localization in disordered structures.

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