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Chinese Physics B

Optical control of light propagation in photonic crystal based on electromagnetically induced transparency

Dan Wang, Jinze Wu, Junxiang Zhang

Published Jun 1, 2016• 11 citations
Publisher

Abstract

A kind of photonic crystal structure with modulation of the refractive index is investigated both experimentally and theoretically for exploiting electromagnetically induced transparency (EIT). The combination of EIT with periodically modulated refractive index medium gives rise to high efficiency reflection as well as forbidden transmission in a three-level atomic system coupled by standing wave. We show an accurate theoretical simulation via transfer-matrix theory, automatically accounting for multilayer reflections, thus fully demonstrate the existence of photonic crystal structure in atomic vapor.

DOI
10.1088/1674-1056/25/6/064202

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IEEE Photonics Technology Letters•Sep 29, 2025•1 citation
A kind of photonic crystal structure with modulation of the refractive index is investigated both experimentally and theoretically for exploiting electromagnetically induced transparency (EIT). The combination of EIT with periodically modulated refractive index medium gives rise to high efficiency reflection as well as forbidden transmission in a three-level atomic system coupled by standing wave. We show an accurate theoretical simulation via transfer-matrix theory, automatically accounting for multilayer reflections, thus fully demonstrate the existence of photonic crystal structure in atomic vapor.
Using the Transfer matrix method to reserch the one-dimensional photonic crystal bandgap structure which is made of electromagnetically induced transparency atomic vapor.The results show that the photonic crystal bandgap can be manipulated by varying the refractive index of electromagnetically induced transparency atomic vapor.The EIT atomic vapor relative refractive index gradually increasing with the Rabi frequency.With the Rabi frequency gradually increasing,the band gap of the photonic crystal becomes more and more narrow,but the change is becoming slower.
We illustrate a mechanism based on coherent optical nonlinearities to realize optically tunable photonic crystals built from media supporting electromagnetically induced transparency. These exhibit specific periodic patterns where a light probe can experience a fully developed photonic band-gap with negligible absorption. An analytical method based on a two-mode approximation is developed to study the optical response of such a periodically modulated medium driven into a regime of standing-wave electromagnetically induced transparency. A comparison with a transfer matrix approach and with techniques based on the coupled Maxwell–Liouville equations shows that our method is very accurate to describe the optical properties of such photonic metamaterials in the frequency region of interest. Nearly perfect reflectivities may be attained for ultracold 87Rb atoms samples which are seen to reflect with little loss and deformation light pulses whose frequency components are contained within the gap. When the same mechanism is implemented for inhomogeneously broadened optical transitions of nitrogen-vacancy centers in diamond, which is more amenable to device applications, fully developed photonic band-gap structures with negligible absorption, reflectivities very close to unity and sufficiently large bandwidths may also be attained. We further examine more flexible schemes based on four level systems under double driving conditions showing more accurate and efficient coherent optical control of the photonic band-gap. The remarkable experimental simplicity of the schemes that we presented is set to ease quantum nonlinear optics applications.
In this Letter, a scheme for realizing an electromagnetic induced transparency (EIT) analog in the photonic time crystal (PTC) is proposed. Strategies for achieving EIT-like phenomena in PTCs are explored, the transmission matrix method is elaborated, and a time-domain multilayer configuration for EIT-like effects is presented. The EIT-like phenomenon in PTC is analyzed using coupled-mode theory, with phase shifts and group delays discussed to validate the accuracy of the EIT-like phenomenon. Research shows that increasing the modulation depth of the PTC by modulating the refractive index in a temporal slab can effectively enhance the intensity of the EIT-like effect. This provides a feasible technical pathway for realizing EIT-like effects in time-varying systems and lays the foundation for related applications such as slow light technology in the time domain.
With two sets of standing-wave fields built in a thermal rubidium vapor cell, we have established a controllable photonic crystal with periodic gain in a coherently prepared N-type four-level atomic configuration. First, the photonic lattice constructed by a resonant standing-wave coupling field results in a spatially modulated susceptibility and makes the signal field diffract in a discrete manner under the condition of electromagnetically induced transparency. Then, with the addition of the standing-wave pump field, the N-type atomic medium can induce a periodic Raman gain on the signal field, which can be effectively controlled by tuning the pertinent atomic parameters. The experimental demonstration of such a real-time reconfigurable photonic crystal structure with periodic Raman gain can pave the way for realizing desired applications predicted in the gain-modulated periodic optical systems.
Using the technique of electromagnetically induced transparency, three photonic bandgaps can be established and manipulated at any time due to the refraction modulated periodically by the one-dimensional optical lattice in a tripod atomic system which is trapped in a one-dimensional optical lattice with a Gaussian density distribution. Using the density-matrix equations to describe the interaction between laser and atoms and the transfer-matrix equation to describe the scattering of light waves in periodic media, we can obtain the steady reflection and transmission spectra. It can be found that the position and width as well as the reflectivity of the photonic band-gap could be tuned by changing the detunings and intensities of the coupling fields and the geometric Bragg detuning.
We experimentally and theoretically demonstrate an electromagnetically induced binary photonic lattice with an instantaneously tunable flat band in a three-level85Rb atomic configuration. The transmitted binary patterns result from the diffraction of an injected Gaussian probe beam through the atomic vapor cell, in which the refractive index is modulated by a binary coupling field with alternating high- and low-intensity peaks under electromagnetically induced transparency. The binary coupling field is established by spatially superimposing two standing-wave fields whose periods differ by a factor of two. The transmitted patterns and the flat band can be readily modulated via controllable atomic coherence. Crucially, by tuning the Rabi frequencies to engineer the refractive index contrast, instantaneous switching of the flat band is achieved. This investigation provides a new method for producing tunable binary photonic lattices, which can serve as a promising platform for investigating the dynamical evolutions of wave packets.