The index change near a quantum transition is shown to cause significant feedback into a gain medium. Criteria are given for the onset of self-lasing in an extended material. The distortion of a reflected pulse is also considered.
We present a model describing the transmission of light through atomic media with a vanishing index of refraction. Zero-index materials are of particular interest as the infinite phase velocity of light within the material offers the potential to manipulate electromagnetic waves to mediate dipole-dipole interactions over extended distances. We focus on the preparation of near-zero-index (NZI) conditions based on atomic coherence using two distinct atomic media as exemplary of generic NZI materials. We establish a model based on the Maxwell-Bloch equations to describe the propagation of a light pulse through these media. To investigate the sustainability of NZI under minimal light conditions, we assume single-photon intensity of the propagating pulse. Specifically, we examine whether the spatial phase change of the photon remains near zero as it traverses the medium. We employ a finite-element numerical approach to solve the coupled Maxwell-Bloch equations describing the photon propagation. Our results indicate that the presence of a photon within the medium will disrupt the NZI state, thus disallowing the establishment of enhanced dipole-dipole interactions over large distances.
The phase conjugate (PC) mirror system consisting of a rod amplifier and a nonlinear medium is presented and the theoretical analysis of the enhanced PC wave in the system is derived by taking into account of the overlap of the probe and counterpropagating PC wave in the amplifier. In order to examine experimentally the enhanced PC reflectivity in degenerate four wave mixing (DFWM) an amplifier is placed in the probe beam path. Experimental result of maximal R/R 90. 25 is obtained where R and R are PC reflectivities in the absence and presence of the amplifier respectively. The experimental results agree within 5 with the theoretical values. 1. THEORETICAL ANALYSIS Schematic digram of the PC mirror system consisting of an amplifier and a nonlinear medium is shown in Fig. 1. The phase distortion 4 is due to several effects such as inhomogemous pumping stress gain saturation thermal leasing and self-focusing/defocusing in the amplifier. 1 The amplifier is palced near the nonlinear medium so that the changes in phase (4) and gain (g) are negligible during the round trip time. Considering phase conjugation at the nonlinear medium the output signal SA8 over the input probe bA. is expressed as 8A ge+/ (ge14''A) J where R is PC reflectivity of nonlinear medium. There is no phase distortion term in output signal. Thus we obtain the following expression for the signal 6M photons/ 2