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Title: Controllable Raman soliton self-frequency shift in nonlinear metamaterials

Abstract

Controllable and dispersive magnetic permeability in the metamaterials (MMs) provides us more freedom to harness the propagation of ultrashort electromagnetic pulses at will. Here we discuss the controllability of the Raman soliton self-frequency shift (SSFS) in the MMs with a nonlinear electric polarization. First, we derive a generalized nonlinear Schroedinger equation suitable for few-cycle pulse propagation in the MMs with delayed Raman response, and demonstrate the Raman effect, high-order Raman-related nonlinearity, and high-order nonlinear dispersion terms occurring in this equation. Second, we present a theoretical investigation on the controllability of the Raman SSFS in the MMs. In particular, we identify the combined effects of the anomalous self-steepening (SS), third-order dispersion (TOD), and Raman effect on SSFS. It is shown that the positive SS effect suppresses SSFS; however, the negative SS effect enhances SSFS, and the positive TOD leads to the deceleration of SSFS. Finally, the effects of SS on the SSFS of the second-order soliton are also discussed.

Authors:
; ; ;  [1];  [2]
  1. Laboratory for Micro/Nano Optoelectronic Devices of Ministry of Education, College of Information Science and Engineering, Hunan University, Changsha 410082 (China)
  2. College of Electrical and Information Engineering, Hunan University, Changsha 410082 (China)
Publication Date:
OSTI Identifier:
22072181
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 3; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 36 MATERIALS SCIENCE; DISPERSION RELATIONS; ELECTROMAGNETIC PULSES; MAGNETIC SUSCEPTIBILITY; NONLINEAR PROBLEMS; POLARIZATION; RAMAN EFFECT; SCHROEDINGER EQUATION; SOLITONS

Citation Formats

Xiang Yuanjiang, Wen Shuangchun, Guo Jun, Fan Dianyuan, and Dai Xiaoyu. Controllable Raman soliton self-frequency shift in nonlinear metamaterials. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.033815.
Xiang Yuanjiang, Wen Shuangchun, Guo Jun, Fan Dianyuan, & Dai Xiaoyu. Controllable Raman soliton self-frequency shift in nonlinear metamaterials. United States. doi:10.1103/PHYSREVA.84.033815.
Xiang Yuanjiang, Wen Shuangchun, Guo Jun, Fan Dianyuan, and Dai Xiaoyu. Thu . "Controllable Raman soliton self-frequency shift in nonlinear metamaterials". United States. doi:10.1103/PHYSREVA.84.033815.
@article{osti_22072181,
title = {Controllable Raman soliton self-frequency shift in nonlinear metamaterials},
author = {Xiang Yuanjiang and Wen Shuangchun and Guo Jun and Fan Dianyuan and Dai Xiaoyu},
abstractNote = {Controllable and dispersive magnetic permeability in the metamaterials (MMs) provides us more freedom to harness the propagation of ultrashort electromagnetic pulses at will. Here we discuss the controllability of the Raman soliton self-frequency shift (SSFS) in the MMs with a nonlinear electric polarization. First, we derive a generalized nonlinear Schroedinger equation suitable for few-cycle pulse propagation in the MMs with delayed Raman response, and demonstrate the Raman effect, high-order Raman-related nonlinearity, and high-order nonlinear dispersion terms occurring in this equation. Second, we present a theoretical investigation on the controllability of the Raman SSFS in the MMs. In particular, we identify the combined effects of the anomalous self-steepening (SS), third-order dispersion (TOD), and Raman effect on SSFS. It is shown that the positive SS effect suppresses SSFS; however, the negative SS effect enhances SSFS, and the positive TOD leads to the deceleration of SSFS. Finally, the effects of SS on the SSFS of the second-order soliton are also discussed.},
doi = {10.1103/PHYSREVA.84.033815},
journal = {Physical Review. A},
issn = {1050-2947},
number = 3,
volume = 84,
place = {United States},
year = {2011},
month = {9}
}