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Acta Physica Sinica

Theory of ultra-narrow bandwidth optical filter consisting of anomalous dispersion photonic crystal

Jiangtao Liu, Yun‐Song Zhou, Fu-He Wang, Ben–Yuan Gu, (1)首都师范大学物理系,北京 100037; (2)中国科学院物理研究所,北京 100080

Published Jan 1, 2004• 4 citations
Publisher

Abstract

We propose a new theory of ultra-narrow bandwidth optical filter which consists of two-dimensional photonic crystal of an anomalous dispersion material. Based on our investigation of the anomalous dispersion of 6P1/2←6S1/2 tran sition of the cesium atom, we designed a photonic crystal anomalous dispersion o ptical filter (PCADOF) by use of the plane wave expansion method. The calculated result shows that the bandwidth of the filter can be less than 0.002nm.

DOI
10.7498/aps.53.3336

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We propose a new theory of ultra-narrow bandwidth optical filter which consists of two-dimensional photonic crystal of an anomalous dispersion material. Based on our investigation of the anomalous dispersion of 6P1/2←6S1/2 tran sition of the cesium atom, we designed a photonic crystal anomalous dispersion o ptical filter (PCADOF) by use of the plane wave expansion method. The calculated result shows that the bandwidth of the filter can be less than 0.002nm.
Abstract This paper proposes a Faraday anomalous dispersion optical filter that uses rare earth-doped crystals to overcome the limitations of current atomic filtering technology, which include limited working wavelength and Doppler broadening. The paper analyses Er3+: LiYF4 1530 nm as an example filter. The results show that the proposed filter achieves high transmission while maintaining an ultra-narrow bandwidth transmission spectrum. The maximum transmission efficiency reaches 94.8% with a transmission bandwidth of hundred trillions HZ. The position of the transmission peak can be tuned by adjusting the size of the magnetic field, enabling the conversion of the transmission spectrum between the line center and the line wing.
The characteristics of a potassium Faraday anomalous dispersion optical filter operating on the blue and near infrared transitions are calculated. The results show that the filter can be designed to provide high transmission, very narrow pass bandwidth, and low equivalent noise bandwidth. The Faraday anomalous dispersion optical filter (FADOF) provides a narrow pass bandwidth (about GHz) optical filter for laser communications, remote sensing, and lidar. The general theoretical model for the FADOF has been established in our previous paper. In this paper, we have identified the optimum operational conditions for a potassium FADOF operating on the blue and infrared transitions. The signal transmission, bandwidth, and equivalent noise bandwidth (ENBW) are also calculated.
The influence of laser beam on the transmittance properties of anomalous dispersion photonic crystals （PCs） is investigated. Our calculations show that the pass band of anomalous dispersion PCs is tunable when altering the electron population in the atomic ground state of the anomalous dispersion material by the optical pumping method. With circularly polarized pump light, a huge Faraday rotation can be achieved under weak light intensity. Tunable pass band of anomalous dispersion PCs may lead to important technological applications in the optically controlled optical switch.
We demonstrate a nonlinear optical filter with ultranarrow bandwidth in cesium vapor. The optical filter operates on the 6S(1/2)→7P(3/2) transition at 455 nm. The single peak transmission at the 6S(1/2), F=4→7P(31/2), F'=5 transition is 9.7% with a bandwidth of 6.2 MHz, whereas at the 6S(1/2), F=3→7P(3/2), F'=2, 3 (cross-over) transition is 6.1% with a bandwidth of 3.9 MHz. The bandwidth approaching the natural linewidth is improved at least two orders of magnitude compared with conventional Faraday anomalous dispersion optical filters. This technique can also be applied to other alkali atoms.