Evaluation of a total reflection set-up by an interface geometric model

Delgado, M.; Delgado, Eduardo Hurtado

doi:10.1078/0030-4026-00205

Cited by 5 publications

(7 citation statements)

References 9 publications

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“…As can be seen from this Figure, our numerical result for the GH shift for an intermediary inhomogeneous medium with a linear variation refractive index is in perfect agreement with what has obtained in Ref. [30]. But, in contrast, is very different from the one just obtained by observations, which reveals that the pattern of the roughness profile seriously matters here.…”

Section: Ray Tracing In An Intermediary Mediumsupporting

confidence: 90%

“…With respect to Fig. 4(a), 30 40 50 as the incidence angle grows up and nears the critical angle, it causes the GH shift picks up to a global maximum. Here, contrary to Artmann's [2] theoretical approximation and similar to what is obtained by the Gaussian wave approximation of Horowitz and Tamir [6], the GH shift in our model has a broader shoulder and also has a limit when total reflection takes place.…”

Section: Ray Tracing In An Intermediary Mediummentioning

confidence: 90%

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Effect of surface roughness on the Goos-Hänchen shift

Zahra

Amiri

2016

Phys. Rev. A

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By considering an optically denser medium with a flat surface, but with natural roughness instead of abstract geometrical boundary which leads to mathematical discontinuity on the boundary of two adjacent stratified media, we have thus established the importance of considering physical surfaces; and thus we studied the Goos-Hänchen (GH) effect by ray-optics description to shed light on parts of this effect which have remained ambiguous. We replaced the very thin region of surface roughness by a continuous inhomogeneous intermediary medium. Applying Fermat's principle for the incident light ray, few fundamental questions about GH shift are more convincingly addressed which are in excellent agreement, even with the most details of the experimental results. 42.15.Dp, 46.55.+d

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Section: Ray Tracing In An Intermediary Mediumsupporting

confidence: 90%

Section: Ray Tracing In An Intermediary Mediummentioning

confidence: 90%

Effect of surface roughness on the Goos-Hänchen shift

Zahra

Amiri

2016

Phys. Rev. A

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“…Let us assume that the interface that separates two bulk media of refraction indexes n 1 and n 2 , respectively, fulfill n 1 > n 2 [14]. The refraction index of the interface is characterized by a function in the form n(y), which we assume has a slow variation with respect to the wavelength of the radiation interacting with it.…”

Section: Figurementioning

confidence: 99%

“…Geometric representation of the trajectory of a beam in the interface and the scheme for calculating the involved parameters [14].…”

Section: Figurementioning

confidence: 99%

Analysis of triangular ring resonator using microcavity SOI slot waveguides

Lee

Kim

et al. 2011

SPIE Proceedings

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We have proposed and analyzed high sensitivity and high Q-factor triangular ring resonator (TRR) with a total internal reflection (TIR) mirror in silicon-on-insulator (SOI) -based slot waveguide. Different from the conventional integrated optical devices such as waveguide, bend, splitter, and filter, in which the light is guided in high-index medium by the total internal reflection, the slot waveguide confines the E-field in the low-index region by way of strong discontinuities at the interface between the low-index core and the high-index claddings. Because the waveguide using these characteristic has a lower effective index than high-index waveguide, the TRR have been achieved high sensitivity, in which the long evanescent fields on a TIR mirror. Optical quality factor of up to 9.461×10 2 is calculated in such filters, and the sensitivity of the resonance shift for changing the refractive index of 1×10 -4 at the incidence angle of 34.11° has been identified as high as 1.02 × 10 5 nm/RIU.

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“…If the footprint reaches the edge of the RBC, the guided beam may also exit at the side. The lateral shift of a waveguided radiation before being reflected can also be regarded as a special manifestation of the Goos-Hänchen effect, well known in the optical regime [18][19][20][21][22][23][24][25]. For visible and near-infrared radiation, it was also shown that this effect can become particularly strong for resonant grating waveguide structures, and can be accompanied by generation of multiple reflected beams [26,27].…”

Section: Introductionmentioning

confidence: 99%

Goos-Hänchen effect observed for focused x-ray beams under resonant mode excitation

Zhong¹,

Melchior²,

Peng³

et al. 2017

Opt. Express

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We have coupled a nano-focused synchrotron beam into a planar x-ray waveguide structure through a thinned cladding, using the resonant beam coupling (RBC) geometry, which is well established for coupling of macroscopic x-ray beams into x-ray waveguides. By reducing the beam size and using specially designed waveguide structures with multiple guiding layers, we can observe two reflected beams of similar amplitudes upon resonant mode excitation. At the same time, the second reflected beam is shifted along the surface by several millimeters, constituting a exceptionally large Goos-Hänchen effect. We evidence this effect based on its characteristic far-field patterns resulting from interference of the multiple reflected beams. The experimental results are in perfect agreement with finite-difference simulations.

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Evaluation of a total reflection set-up by an interface geometric model

Cited by 5 publications

References 9 publications

Effect of surface roughness on the Goos-Hänchen shift

Effect of surface roughness on the Goos-Hänchen shift

Analysis of triangular ring resonator using microcavity SOI slot waveguides

Goos-Hänchen effect observed for focused x-ray beams under resonant mode excitation

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