Goos-Hänchen shift in a standing-wave-coupled electromagnetically-induced-transparency medium

Abstract

The Goos-Hiinchen shift of the system composed by two cavity walls and an intracavity atomic sample is presented. The atomic sample is treated as a four-level double-A system, driven by the two counterpropagating coupling fields. The probe field experiences the discontinuous refractive index variation and is reflected. Moreover, under the phase-matching condition, the four-wave mixing effect based on electromagnetically induced transparency can cause effective reflection. The Goos-Hiinchen shifts appear in both situations and are carefully investigated in this article. We refer to the first one with the incident and reflected light having identical wavelength as the linear Goos-Hiinchen shift, and the second one with the reflection wavelength determined by the phase-matching condition as the nonlinear Goos-Hiinchen shift. The differences between the two kinds of shifts, such as the incident angle range, conditions for the shift peaks, and controllability, are discussed.

Polarized control of Goos–Hänchen shifts in four-level quantized graphene nanostructures

“…This lateral shift was first experimentally realized by Goos and Hänchen in 1947 [44]. Many proposals have been suggested for controlling the GH shift in different structures [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41]. In [36], the properties of GH and Imbert-Fedorov (IF) shifts from a quant um mechanical perspective was reported.…”

“…One of the most interesting phenomena, which has many applications in optical sensing for measuring the refractive index and beam angle, is the Goos-Hänchen (GH) shift [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43]. In geometrical optics, a small displacement of a totally reflected light from the position is possible.…”

“…In fact, they found that by using the coherent driving field the susceptibility of a two-or three-level atomic system confined in a cavity can be changed, and this led to controlling the GH shifts without changing the structures of the cavity. After this suggestion, the tuning of GH shifts in reflected and transmitted light beams via manipulating the susceptibility of the intracavity medium was analyzed [33,34,37,38,[40][41][42][44][45][46][47]. Recently, Zhang et al [40] discussed GH shift of the cavity system with an intracavity medium that is composed of four-level double Λ-type atomic system.…”

“…After this suggestion, the tuning of GH shifts in reflected and transmitted light beams via manipulating the susceptibility of the intracavity medium was analyzed [33,34,37,38,[40][41][42][44][45][46][47]. Recently, Zhang et al [40] discussed GH shift of the cavity system with an intracavity medium that is composed of four-level double Λ-type atomic system. They realized that under phase-matching conditions, the four-wave mixing effect based on electromagnetically induced transparency induces effective reflection.…”

Phase manipulation of Goos–Hänchen shifts in a single-layer of graphene nanostructure under strong magnetic field

“…This phenomenon has been named as the Goos-Hänchen shift (GH shift) and was first observed in 1974. The properties of GH shifts in many configurations have been discussed by many research groups [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33]. For example, GH shifts and Imbert-Fedorov (IF) shifts for bounded wavepackets of light have been discussed by Ornigotti and Aiello [26].…”