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Analysis of the image in system with negative-index lens

DAN LUO1,* , JIPING NING1, QUN HAN1, ZHIQIANG CHEN1, LIANJU SHANG1, GUOFANG FAN1

Affiliation

  1. Photoelectronic Information Science & Technology Laboratory, MOE, College of Precision Instruments & Optoelectronics Engineering, Tianjin University, Tianjin 300072, China

Abstract

There are analysed the necessary conditions of image’s existence for an optical system with one-lens. In this system light passes through the lens made by negative-index medium with effective negative refractive( neff = −1) from air ( n = 1 ). Based on the one-lens imaging system, similar discussions are applied to a two-lens ( 1 eff n = − ) system and the condition of image existence in two-lens system is also demonstrated. It was found that when just the problem of image’s position is considered the two-lens system can be treated equally to the one-lens system since both systems have the same necessary conditions of image’s existence. This conclusion can be extended to an N-lens system, which means an N-lens system can be treated equally to a one-lens system too. A FDTD method is used to simulate such one-lens and two-lens systems, and lenses with 1 eff n = − are produced by two-dimension photonic crystal slabs..

Keywords

Negative-index lens, Photonic crystal slab, FDTD.

Submitted at: Nov. 14, 2006
Accepted at: June 15, 2007

Citation

DAN LUO, JIPING NING, QUN HAN, ZHIQIANG CHEN, LIANJU SHANG, GUOFANG FAN, Analysis of the image in system with negative-index lens, Journal of Optoelectronics and Advanced Materials Vol. 9, Iss. 6, pp. 1865-1871 (2007)