The surface wave phenomenon on an impedance half-plane

An exact solution is obtained for the problem of a leaky or surface wave incident on an impedance half plane in a homogeneous, isotropic medium. The impedance half plane is asymmetric, i.e., with different constant surface impedances at the upper and lower faces, respectively. The incident leaky wave propagates in a direction normal to the edge of the half plane.The diffraction problem leads to a set of two coupled Wiener–Hopf equations, from which two Hilbert problems on a new contour are obtained and solved. The Wiener–Hopf–Hilbert method is used. Expressions for the geometrical optical field are also derived and results arc discussed from the point of view of the uniqueness of the solution.

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Diffraction of an obliquely incident electromagnetic surface wave at the edge of a reactive half-plane

Radiophysics and Quantum Electronics ◽

10.1007/bf01033552 ◽

1968 ◽

Vol 11 (1) ◽

pp. 89-90 ◽

Cited By ~ 1

Author(s):

V. L. Mironov ◽

L. D. Tolkachev

Keyword(s):

Surface Wave ◽

Half Plane ◽

Electromagnetic Surface Wave ◽

Obliquely Incident

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WAVE REFLECTION IN PIEZOELECTRIC HALF-PLANE

International Journal of Applied Mechanics ◽

10.1142/s1758825113500142 ◽

2013 ◽

Vol 05 (02) ◽

pp. 1350014 ◽

Cited By ~ 6

Author(s):

XIAOGUANG YUAN ◽

Z. H. ZHU

Keyword(s):

Surface Wave ◽

Half Plane ◽

Wave Reflection ◽

Incident Angle ◽

Wave Theory ◽

Wave Mode ◽

Piezoelectric Medium ◽

Bulk Wave ◽

Reflected Waves ◽

Bulk Waves

The assumption of quasi-static electric field in the problem of wave reflection in piezoelectric half-plane results in missing an independent electric wave mode at the piezoelectric boundary, which leads to oversimplified solutions of reflected waves in a strong piezoelectric medium if only elastic bulk wave boundary conditions are considered. The paper presents a novel solution to address the issue by using the inhomogeneous wave theory and introducing a virtual reflection wave mode in addition to the elastic bulk wave modes. The virtual wave is assumed to satisfy the Snell's law as well as the piezoelectric boundary condition and can be treated in the same way as the elastic bulk waves. The analysis results show that this virtual wave always propagates along the boundary for any incident angle and can be treated as a pseudo surface wave. The energy transmission analysis reveals that this surface wave transmits zero energy and does not violate the energy conservation between the incident and the reflected elastic bulk waves. In addition, the analysis also reveals an interesting result that the quasi-transverse, not the quasi-longitudinal, incident wave will be fully reflected and no quasi-longitudinal reflected wave will be generated if the incident angle is beyond a critical angle.

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Exit-surface wave reconstruction using a focal series

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100129577 ◽

1992 ◽

Vol 50 (2) ◽

pp. 988-989

Author(s):

W.J. de Ruijter ◽

M.R. McCartney ◽

David J. Smith ◽

J.K. Weiss

Keyword(s):

Surface Wave ◽

Spherical Aberration ◽

Data Extraction ◽

High Sensitivity ◽

Geometric Distortion ◽

Variation Method ◽

Objective Lens ◽

Immediate Reconstruction ◽

Exit Surface ◽

Electron Microscopes

Further advances in resolution enhancement of transmission electron microscopes can be expected from digital processing of image data recorded with slow-scan CCD cameras. Image recording with these new cameras is essential because of their high sensitivity, extreme linearity and negligible geometric distortion. Furthermore, digital image acquisition allows for on-line processing which yields virtually immediate reconstruction results. At present, the most promising techniques for exit-surface wave reconstruction are electron holography and the recently proposed focal variation method. The latter method is based on image processing applied to a series of images recorded at equally spaced defocus.Exit-surface wave reconstruction using the focal variation method as proposed by Van Dyck and Op de Beeck proceeds in two stages. First, the complex image wave is retrieved by data extraction from a parabola situated in three-dimensional Fourier space. Then the objective lens spherical aberration, astigmatism and defocus are corrected by simply dividing the image wave by the wave aberration function calculated with the appropriate objective lens aberration coefficients which yields the exit-surface wave.

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