Experimental studies of the internal Goos–Hänchen shift for self-collimated beams in two-dimensional microwave photonic crystals

Abstract

We study experimentally the Goos-Hänchen effect observed at the reflection of a self-collimated beam from the surface of a two-dimensional photonic crystal and describe a method for controlling the beam reflection through surface engineering. The microwave photonic crystal, fabricated from alumina rods, allows control of the output position of a reflected beam undergoing an internal Goos-Hänchen shift by changing the rod diameter at the reflection surface. The experimental data is in good agreement with the results of the finite-difference time-domain numerical calculations.

Asymmetric Mach-Zehnder filter based on self-collimation phenomenon in two-dimensional photonic crystals

“…Also it is demonstrated that the geometric modification of the perfect mirrors based on the Goos-Hänchen (GH) shift [15] makes the control of the peak frequencies possible. The GH shift was shown experimentally utilizing the self-collimated beam reflected from the surface of a 2D PC and a method for controlling the beam reflection was proposed by modifying the size of surface rods [16,17]. The measured transmission spectra are compared with the numerical ones obtained by the finite-difference time-domain (FDTD) simulations [18].…”

Grating-induced omnidirectional refraction of self-collimated beams at a photonic crystal surface

“…r a and p denote the radius and a period of the rods in the layer, respectively. The distance between the additional layer and the PC surface is denoted by d. When p and a are the same, the selfcollimated beam is totally reflected, as mentioned above, even though r a is different from r. The difference between r and r a causes just the variation of the Goos-Hänchen shift of the beam at the interface [21]. When p varies from a, the layer adds a grating vector, k g 2πm∕p, where m is an integer, to the wave vector of the incident self-collimated beam, and thus can compensate the difference between k inc the relation k inc x 2πm∕p k air x .…”

Giant Goos-Hänchen Effect and Fano Resonance at Photonic Crystal Surfaces

“…The spatial displacement of a beam totally reflected from a dielectric surface, which is predicted by Newton's corpuscular theory of optics, was first observed by Goos and Hänchen in 1947 [1]. Since then, the Goos-Hänchen (GH) effect has been extended to many fields of physics, including acoustics [2], quantum mechanics [3][4][5], radiophysics [6], and nonlinear optics [7]. The effect has been the subject of intensive theoretical [8][9][10] and experimental research [11][12][13][14].…”