“Total” internal reflection of a beam-wave at a curved interface

1976 ◽  
Vol 31 (11-12) ◽  
pp. 359-367
Author(s):  
Alexander L. Cullen

Author(s):  
D. S. Jones

SynopsisGeneral formulae are obtained for the reflection and transmission of harmonic acoustic waves by a curved interface between two media when the frequency is high. In addition to refracted rays there turn up tunnelling rays, if the surface is concave to the source, which are emitted from an evanescent region when the phenomenon of total internal reflection would be anticipated. Uniformly valid formulae dealing with the transition from refraction to tunnelling in both transmission and reflection are derived.The theory is applied to the circular cylinder and to the top-hat circular jet. In the latter case it is suggested that radiation may tend to be more significant at inclinations of 50°-65° (downstream) and 25°-40° (upstream) to the axis of the cylinder. The augmentation due to tunnelling rays in propagation upstream is mentioned.



2018 ◽  
Vol 69 (2) ◽  
pp. 106-116
Author(s):  
L’ubomír Šumichrast ◽  
Jaroslav Franek ◽  
Rastislav Dosoudil ◽  
Jozefa Červeňová

Abstract Total internal reflection of plane waves is a well-known phenomenon. Some new aspects of the numerical treatment of the total internal reflection phenomena, concerning the beam-wave, are discussed.



2019 ◽  
Vol 70 (2) ◽  
pp. 83-92
Author(s):  
Jozefa Červeňová ◽  
Rastislav Dosoudil ◽  
Jaroslav Franek ◽  
L’ubomír Šumichrast

Abstract The total internal reflection of a beam wave on planar dielectric boundary in presence of a nearby dielectric slab is thoroughly investigated together with its influence on the Goos-Hänchen shift and on the beam-wave-profile deformation.



2011 ◽  
Vol 2011 ◽  
pp. 1-9
Author(s):  
Yasushi Suzuki ◽  
Ken'iti Kido

A new method for detecting the sound pressure in air, which uses the total internal reflection at the curved interface between glass and air, is proposed, and its application to microphone is discussed. The critical angle for total reflection changes by the refractive index of air, which depends on the air density. The density changes by the sound pressure. Therefore, the sound pressure is measurable by detecting the intensity of the reflected light from the total reflection area. The sound pressure sensitivity of the proposed method is investigated theoretically and experimentally. Experimental results show that the microphone using the method is feasible though its sensitivity is low in the present stage. When the sensitivity is improved dramatically for practical use, the microphone becomes very sensitive to the surrounding conditions. A method to compensate the fluctuation of atmospheric pressure or temperature is presented.



1998 ◽  
Vol 45 (1) ◽  
pp. 179-192
Author(s):  
DAVID R. ROWLAND, WAGDY SAMIR, ROWLAND A.


2020 ◽  
pp. 44-49
Author(s):  
I. N. Pavlov

Two optical methods, namely surface plasmon resonance imaging and frustrated total internal reflection, are described in the paper in terms of comparing their sensitivity to change of refractive index of a thin boundary layer of an investigated medium. It is shown that, despite the fact that the theoretically calculated sensitivity is higher for the frustrated total internal reflection method, and the fact that usually in practice the surface plasmon resonance method, on the contrary, is considered more sensitive, under the same experimental conditions both methods show a similar result.



Author(s):  
Ya-Chi Lu ◽  
Jhong-Syuan Li ◽  
Kao-Der Chang ◽  
Shie-Chang Jeng ◽  
Jui-Wen Pan


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