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Journal of the Optical Society of America B

Slow-light interferometry: practical limitations to spectroscopic performance

Zhimin Shi, Robert W. Boyd

Published Oct 24, 2008• 40 citations
Publisher

Abstract

We investigate how the use of slow-light methods can enhance the performance of various types of spectroscopic interferometers under practical conditions. We show that, while in ideal cases the enhancement of the spectral resolution is equal to the magnitude of the group index of the slow-light medium, the ratio between the associated gain or loss and the group index of the slow-light medium actually determines the spectral resolution under more-general conditions. Moreover, the dispersion of this ratio leads to frequency-dependent spectral resolution, which limits the useful working bandwidth of the interferometer. We also evaluate the performance of interferometers using three specific slow-light processes in terms of the achievable spectral resolution and the effective working finesse. We show that the spectral resolution is typically limited by the characteristic linewidth of each slow-light process and that there is no fundamental upper limit for the effective working finesse.

DOI
10.1364/josab.25.00c136

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We investigate how the use of slow-light methods can enhance the performance of various types of spectroscopic interferometers under practical conditions. We show that, while in ideal cases the enhancement of the spectral resolution is equal to the magnitude of the group index of the slow-light medium, the ratio between the associated gain or loss and the group index of the slow-light medium actually determines the spectral resolution under more-general conditions. Moreover, the dispersion of this ratio leads to frequency-dependent spectral resolution, which limits the useful working bandwidth of the interferometer. We also evaluate the performance of interferometers using three specific slow-light processes in terms of the achievable spectral resolution and the effective working finesse. We show that the spectral resolution is typically limited by the characteristic linewidth of each slow-light process and that there is no fundamental upper limit for the effective working finesse.
We describe a new type of Fourier transform (FT) interferometer in which the tunable optical delay between the two arms is realized by using a continuously variable slow-light medium instead of a moving arm as in a conventional setup. The spectral resolution of such a FT interferometer exceeds that of a conventional setup of comparable size by a factor equal to the maximum group index of the slow-light medium. The scheme is experimentally demonstrated by using a rubidium atomic vapor cell as the tunable slow-light medium, and the spectral resolution is enhanced by a factor of approximately 100.
A novel interferometer is designed based on the dispersive property of slow light media. The numerical simulation on its physical process proves that the spectral sensitivity of interferometer can be enhanced effectively using the slow light medium. And the sensitivity is proportional to the group refractive index of the slow light medium. A further investigation gives the general method of designing slow light interferometers taking into account the dispersive property of GaAs. It is theoretically demonstrated that the spectral sensitivity of an interferometer can be greatly enhanced by dispersive property of semiconductor GaAs in nearinfrared region.