Observation of the Goos-Hänchen Effect in a Phase-Conjugate Mirror

We develop an amended ray optics description for reflection at the curved dielectric interfaces of optical microresonators which improves the agreement with wave optics by about one order of magnitude. The corrections are separated into two contributions of similar magnitude, corresponding to ray displacement in independent quantum phase space directions, which can be identified with Fresnel filtering and the Goos-Hänchen shift, respectively. Hence we unify two effects which only have been studied separately in the past.PACS numbers: 05.45. Mt, 42.55.Sa Over the recent years it has become feasible to design optical microresonators that confine photons by means of dielectric interfaces into a small spatial region not larger than a few micrometers [1,2,3]. Two promising lines of research are the amplification of photons by stimulated emission in active media, which yields lasing action [1,2,3,4,5,6,7,8,9,10,11], and the generation and trapping of single photons which can be used as carriers of quantum information [12]. These applications require integration of several components and interfacing with electronics, which are best realized in twodimensional resonator geometries where the main in-and out-coupling directions are confined to a plane, and can be selected via the (asymmetric) resonator geometry. Furthermore, because of the requirements of mode selection, these applications favor microresonators of mesoscopic dimensions, with size parameters kL = O(100) − O(1000) (where L is the linear size, k = 2π/λ is the wavenumber and λ is the wavelength) which quickly puts these systems out of the reach of numerical simulations. On the other hand, ray-optics predictions of the intricate resonator modes [4,6,9,13,14,15,16,17] can deviate substantially from experimental observations [5,7] and theoretical predictions [5,11,15,16].The purpose of this paper is to develop an amended ray optics (ARO) description which still idealizes beams as rays, but incorporates corrections of the origin and propagation direction of the reflected ray. We identify these corrections by utilizing quantum-phase space representations of the incident and reflected beam [18] and relate them to the recently discovered Fresnel filtering effect [19] and the long-known Goos-Hänchen shift [20]. These two effects have only been discussed separately in the past (for applications to microresonators see, e.g., Refs. [5,11,21,22]), and their complementary nature has not been realized. Moreover, their uniform analysis for all angles of incidence is known to pose considerable technical challenges [19,23,24,25]. In the phasespace representation, the Fresnel filtering and Goos-Hänchen corrections are simply determined by the position of maximal phase-space density. For the prototypical case of a Gaussian • is close to the critical angle χ ′ = 41.8• . Conventional ray optics predicts that the beam is specularly reflected at the point of incidence. In this paper we use phase-space representations to obtain a more accurate reflection law, which accounts for (i...

show abstract

“…[11,27,28,29,30]). This shift arises from the penetration of the evanescent wave into the optically thinner medium [23,24].…”

mentioning

confidence: 99%

Correcting Ray Optics at Curved Dielectric Microresonator Interfaces: Phase-Space Unification of Fresnel Filtering and the Goos-Hänchen Shift

Schomerus

Hentschel

2006

Phys. Rev. Lett.

View full text Add to dashboard Cite

show abstract

“…It is highly desirable in many applications. Therefore, the research on GH effect has been extended in different circumstances, such as multilayered structures [4], absorptive media [5], nonlinearities [6], chiral media [7], photonic crystals [8], and negative index metamaterials [9][10][11]. In all these studies, the adjustability of the GH shift is not included.…”

Section: Introductionmentioning

confidence: 97%

Comparison of Goos–Hänchen shifts of the reflected beam from graphene on dielectrics and metals

Jiang¹,

Wu²,

Dai³

et al. 2014

Optik

View full text Add to dashboard Cite

“…A lot of attention has been motivated due to its potential applications in different fields of science, i.e. in micro and nanostructures [10], quantum and plasma physics [11], scientific research in graphene [12,13], sensors [14,15], and phase-conjugate mirror [16]. The GH shift has also potential applications in optical sensing, for example, measuring the refractive index, beam angle, probing irregularities, and roughness on the surface of a dispersive medium [7,17].…”

Section: Introductionmentioning

confidence: 99%

Giant Goos–Hänchen shift via spontaneous generated coherence

Ziauddin

2015

Journal of Modern Optics

View full text Add to dashboard Cite

The influence of spontaneous generated coherence (SGC) on the Goos-Hänchen (GH) shift in the reflected light is presented. A weak probe light is incident on a cavity containing three-level gaseous atomic medium consist of 85 Rb atoms. The atom-field interaction follows electromagnetically induced transparency configuration, and the SGC modifies the dispersion and absorption properties of a system [Y. Niu and S. Gong, Phys. Rev. A 73, 053811 (2006)]. The SGC enhances the Kerr nonlinearity which leads to giant negative and positive GH shifts in the reflected light. Further, the control of negative and positive GH shifts is achieved via manipulation of probe field detuning.

show abstract

Observation of the Goos-Hänchen Effect in a Phase-Conjugate Mirror

Cited by 76 publications

References 23 publications

Correcting Ray Optics at Curved Dielectric Microresonator Interfaces: Phase-Space Unification of Fresnel Filtering and the Goos-Hänchen Shift

Correcting Ray Optics at Curved Dielectric Microresonator Interfaces: Phase-Space Unification of Fresnel Filtering and the Goos-Hänchen Shift

Comparison of Goos–Hänchen shifts of the reflected beam from graphene on dielectrics and metals

Giant Goos–Hänchen shift via spontaneous generated coherence

Contact Info

Product

Resources

About