scholarly journals The Snell law for quaternionic potentials

2013 ◽  
Vol 54 (12) ◽  
pp. 122109 ◽  
Author(s):  
Stefano De Leo ◽  
Gisele C. Ducati
Keyword(s):  
Snell Law

Nonlinear Snell law for grazing incidence along interfaces with discontinuous second-order susceptibilities

2017 ◽  
Vol 95 (4) ◽  
Author(s):  
Xiaohui Zhao ◽  
Yuanlin Zheng ◽  
Huaijin Ren ◽  
Ning An ◽  
Xuewei Deng ◽  
...  
Keyword(s):  
Grazing Incidence ◽  
Second Order ◽  
Snell Law

Refraction of power-law spatial solitons — The Helmholtz-Snell law

2010 ◽  
Author(s):  
J. M. Christian ◽  
J. Sanchez-Curto ◽  
P. Chamorro-Posada ◽  
G. S. McDonald ◽  
E. A. McCoy
Keyword(s):  
Power Law ◽  
Spatial Solitons ◽  
Snell Law

scholarly journals Generalized laws of refraction and reflection at interfaces between different photonic artificial gauge fields

2020 ◽  
Vol 9 (1) ◽  
Author(s):  
Moshe-Ishay Cohen ◽  
Christina Jörg ◽  
Yaakov Lumer ◽  
Yonatan Plotnik ◽  
Erik H. Waller ◽  
...  
Keyword(s):  
Acoustic Waves ◽  
Total Internal Reflection ◽  
Cold Atoms ◽  
Imaging System ◽  
Gauge Fields ◽  
Reflection And Transmission ◽  
System A ◽  
Snell Law ◽  
Potential Landscape ◽  
Artificial Gauge Fields

AbstractArtificial gauge fields the control over the dynamics of uncharged particles by engineering the potential landscape such that the particles behave as if effective external fields are acting on them. Recent years have witnessed a growing interest in artificial gauge fields generated either by the geometry or by time-dependent modulation, as they have been enablers of topological phenomena and synthetic dimensions in many physical settings, e.g., photonics, cold atoms, and acoustic waves. Here, we formulate and experimentally demonstrate the generalized laws of refraction and reflection at an interface between two regions with different artificial gauge fields. We use the symmetries in the system to obtain the generalized Snell law for such a gauge interface and solve for reflection and transmission. We identify total internal reflection (TIR) and complete transmission and demonstrate the concept in experiments. In addition, we calculate the artificial magnetic flux at the interface of two regions with different artificial gauge fields and present a method to concatenate several gauge interfaces. As an example, we propose a scheme to make a gauge imaging system—a device that can reconstruct (image) the shape of an arbitrary wavepacket launched from a certain position to a predesigned location.

scholarly journals Estimating the parameters of the seabed using the spatial characteristics of ocean ambient noise

2019 ◽  
Vol 283 ◽  
pp. 08004
Author(s):  
He Li ◽  
Xiniyi Guo ◽  
Li Ma ◽  
Guoli Song
Keyword(s):  
Experimental Data ◽  
Sound Speed ◽  
Critical Angle ◽  
Ambient Noise ◽  
Array Processing ◽  
Sound Field ◽  
Spatial Characteristics ◽  
Matched Field Processing ◽  
Spectrum Density ◽  
Snell Law

When solving traditional underwater problems, the boundary condition is always used to calculate the sound field. In practice, however, it is hard to get the boundary conditions of the seabed. So geoacoustics inversion is needed to acquire the parameters of the seabed. In this paper, a method estimating seabed parameters by using the spatial characteristics of ocean ambient noise is demonstrated without using matched-field processing. For the reason of the limit of the resolution of conventional beamforming (CBF), a method of synthetic array processing (SAP) is used because of some characters of cross-spectrum density matrix (CSDM). The result shows that the method of synthetic array processing enhanced the resolution of critical angle to some degree. By comparing the true bottomloss calculated by OASR, the result of traditional beamforming and the synthetic array processing, the result of synthetic array processing is closer to the true bottomloss than the result of traditional beamforming. After ensuring a range of critical angle, the sound speed of the seabed can be estimated by using Snell law. And then, an experimental data collected in Qingdao, China, 2016 is used to prove the validity of the method of synthetic array processing and estimate the local seabed parameters.

Superwide-angle acoustic propagations above the critical angles of the Snell law in liquid—solid superlattice

2014 ◽  
Vol 23 (12) ◽  
pp. 124301 ◽  
Author(s):  
Sai Zhang ◽  
Yu Zhang ◽  
Xiao-Wei Gao
Keyword(s):  
Snell Law

scholarly journals Investigation Of The Bragg-Snell Law In Photonic Crystals

2015 ◽  
Author(s):  
Gina Mayonado ◽  
Shabbir M. Mian ◽  
Valentina Robbiano ◽  
Franco Cacialli
Keyword(s):  
Photonic Crystals ◽  
Snell Law
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