Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Resonances in one-dimensional disordered systems: localization of energy and resonant transmission

Not Accessible

Your library or personal account may give you access

Abstract

Localized states in one-dimensional, open, disordered systems and their connection to the internal structure of random samples have been studied. It is shown that the localization of energy and anomalously high transmission associated with these states are due to the existence inside the sample of a transparent (for a given resonant frequency) segment with minimum size of the order of the localization length. An analogy between the stochastic scattering problem at hand and a deterministic quantum problem permits one to describe analytically some statistical properties of localized states with high transmission. It is shown that there is no one-to-one correspondence between the localization and high transparency: only a small fraction of the localized modes exhibit a transmission coefficient close to one. The maximum transmission is provided by the modes that are localized in the center, while the highest energy concentration occurs in cavities shifted towards the input. An algorithm is proposed to estimate the position of an effective resonant cavity and its pumping rate by measuring the resonant transmission coefficient. The validity of the analytical results is checked by extensive numerical simulations and wavelet analysis.

© 2004 Optical Society of America

Full Article  |  PDF Article
More Like This
Terahertz emission from localized modes in one-dimensional disordered systems [Invited]

Yongquan Zeng, Guozhen Liang, Bo Qiang, Bo Meng, Hou Kun Liang, Shampy Mansha, Jianping Li, Zhaohui Li, Lianhe Li, Alexander Giles Davies, Edmund Harold Linfield, Ying Zhang, Yidong Chong, and Qi Jie Wang
Photon. Res. 6(2) 117-122 (2018)

Almost localized photon modes in continuous and discrete models of disordered media

V. M. Apalkov, M. E. Raikh, and B. Shapiro
J. Opt. Soc. Am. B 21(1) 132-140 (2004)

Manipulation of transmission by engineered disorder in one-dimensional photonic crystals

Tangwei Yuan, Tianhua Feng, and Yi Xu
Opt. Express 27(5) 6483-6494 (2019)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (9)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (21)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved