Two-Dimensional Pulse Propagation without Anomalous Dispersion

被引：6

作者：

Bender, Carl M. ^{[1
,2
]}

Rodriguez-Fortuno, Francisco J. ^{[2
]}

Sarkar, Sarben ^{[2
]}

Zayats, Anatoly V. ^{[2
]}

机构：

[1] Washington Univ, Dept Phys, St Louis, MO 63130 USA

[2] Kings Coll London, Dept Phys, London WC2R 2LS, England

来源：

PHYSICAL REVIEW LETTERS | 2017年 / 119卷 / 11期

基金：

英国工程与自然科学研究理事会; 欧洲研究理事会;

关键词：

NATURAL HYPERBOLIC MATERIALS; METAMATERIALS;

D O I：

10.1103/PhysRevLett.119.114301

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Anomalous dispersion is a surprising phenomenon associated with wave propagation in an even number of space dimensions. In particular, wave pulses propagating in two-dimensional space change shape and develop a tail even in the absence of a dispersive medium. We show mathematically that this dispersion can be eliminated by considering a modified wave equation with two geometric spatial dimensions and, unconventionally, two timelike dimensions. Experimentally, such a wave equation describes pulse propagation in an optical or acoustic medium with hyperbolic dispersion, leading to a fundamental understanding and new approaches to ultrashort pulse shaping in nanostructured metamaterials.

引用

页数：5

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