Open AccessSymmetrical invariant transformation of localization length in one-dimensional randomly-perturbed periodic structure
Author(s) -
Ping Han,
He-Zhou Wang
Publication year - 2005
Publication title -
wuli xuebao
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.