Rotational Doppler effect in left-handed materials

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Hailu Luo, Shuangchun Wen, Weixing Shu, Zhixiang Tang, Yanhong Zou, and Dianyuan Fan
Key Laboratory for Micro/Nano Opto-Electronic Devices of Ministry of Education, School of Computer and Communication, Hunan University, Changsha 410082, China

Received 18 May 2008; published 5 September 2008

Weexplain the rotational Doppler effect associated with light beams carryingwith orbital angular momentum in left-handed materials (LHMs). We demonstratethat the rotational Doppler effect in LHMs is unreversed, whichis significantly different from the axial Doppler effect. The physicsunderlying this intriguing effect is the combined contributions of negativephase velocity and the inverse screw of the wave front.We find that the additional Doppler effect caused by Gouyphase and wave-front curvature should be reversed, because of thenegative index. In the normal dispersion region, the rotational Dopplereffect induces an upstream energy flow but a downstream momentumflow. In the anomalous dispersion region, however, the rotational Dopplereffect produces a downstream energy flow but an upstream momentumflow. We theoretically predict that the rotational Doppler effect caninduce a transfer of angular momentum of the LHM toorbital angular momentum of the beam.

URL:	http://link.aps.org/doi/10.1103/PhysRevA.78.033805
DOI:	10.1103/PhysRevA.78.033805
PACS:	42.25.-p; 42.79.-e; 41.20.Jb; 78.20.Ci 42.25.-p Wave optics 42.79.-e Optical elements, devices, and systems 41.20.Jb Electromagnetic wave propagation; radiowave propagation 78.20.Ci Optical constants YEAR: 2008
KEYWORDS:	angular momentum, Doppler effect, metamaterials, refractive index

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