Diffraction of a two-shock configuration by a concave cylindrical surface

Diffraction of a two-shock configuration by a concave cylindrical surface with a continuously varying angle of diffraction in a perfect (inviscid and non-heat-conducting) gas is numerically investigated. Peculiarities of flow formation in the perturbed region due to a large initial angle of diffraction are revealed. The reasons for the appearance of the reverse flow over the cylindrical surface, which causes a vortex, are found. The influence of the vortex on the behavior of the loose end of the TU layer (slipstream) is studied. It is shown that the structure of the loose end of the TU layer is determined by vortex-related mixing in the gas. The nonstationary interaction of the diffracting shock wave and a sublayer shock with a concave cylindrical wall and the symmetry plane, which is accompanied by a change in the type of reflection, is examined. Published in Zhurnal Tekhnicheskoĭ Fiziki, 2007, Vol. 77, No. 10, pp. 24–33. The article was translated by the authors.     

Wave beam shaping on diffraction of a whispering gallery wave at a convex cylindrical surface

Institute of Applied Physics, Academy of Sciences of the USSR. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 31, No. 12, pp. 1482–1487, December, 1988.     

Diffraction of a plane electromagnetic wave by a cylindrical wedge with a rounded apex

We reduce the rigorously formulated problem of diffraction of a plane electromagnetic wave by a perfectly conducting cylindrical wedge with a rounded apex to solving the system of linear algebraic equations of the second kind for unknown coefficients of the Fourier expansions of the diffracted-field components. The expansion coefficients are determined analytically in the long-wavelength approximation. The results of calculations of the diffracted field in the far zone are presented with a given accuracy in the case of an E-polarized wave. It is shown that the rounding of the apex of a cylindrical wedge leads to an increase in the backscattering coefficient of the structure in the long-wavelength range. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 51, No. 5, pp. 447–451, May 2008     

Diffraction of point-source-generated sound by an elastic cylindrical shell

The three-dimensional problem of the scattering of a harmonic sound wave by an elastic cylindrical shell is solved using Debye potentials. All potentials are represented in the form of integrals depending on the axial component of the wave vector.     

凸非球面加工

凸非球面加工一直是很困难的。本文从三级像差理论出发,对以前凸非球面加工方法作一简单描述,对目前采用新方法进行详细的讨论,并给出加工凸非球面的实例。     

Diffraction of a plane wave in air by a cylindrical shell with two local masses

The diffraction of a plane wave by a cylindrical shell with two inertial masses attached symmetrically (at = ±₁) to its surface is investigated. The frequency response characteristics of the scattered field are calculated for a shell equipped with diametrically opposite masses (₁ = /2) and driven only by symmetric (about the plane =0, =) modes of vibration. It is established that the level of the scattered field in the interval of frequencies corresponding to even symmetric mode orders increases upon transition from the model with a single local mass (at =) to the model with two masses (at =±/2) (i.e., with a split inhomogeneity). At the frequencies of odd modes the scattered field coincides with the field of the homogeneous shell. The directivity patterns of the scattered field of a shell with two masses (at =±/2) are determined.Architecture and Construction Institute, Nizhegorod. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 37, No. 3, pp. 289–299, March, 1994.     

Diffraction of a convergent sound wave by an elastic cylindrical shell with a longitudinal fixation

The problem of the diffraction of a zero-order convergent cylindrical wave by a cylindrical shell with a longitudinal fixation along one of its generatrices is considered. The problem is solved on the basis of using the so-called helical waves, which are aperiodic eigensolutions to the equations of the shell motion. The diffraction field is represented in the form of a convergent series in cylindrical harmonics. The method of the solution allows for a generalization to several cases of longitudinal fixation with conditions of different forms. The calculation of the scattering amplitude of the diffraction field is carried out for various frequencies and shell parameters.     

Investigation of surface plasmon resonance using cylindrical dielectric-metal-dielectric (C-DMD) plasmonic configuration

In this paper we have proposed a technique based on image analysis of the surface plasmon excitation at the metal-dielectric interface of inside silver coated fused silica capillary glass tube. Chemical deposition technique has been used for the deposition of silver. Angular interrogation in Kretschmann-like configuration is realized by non-radial transverse illumination of this cylindrical dielectric-metal-dielectric (C-DMD) structure with a He–Ne laser source. Here the uniform film deposition of the inside surface of the capillary is not that crucial except within the transversely illuminated working area concerned. Moreover, the proposed technique has been validated experimentally for sensing different aqueous dielectric samples inserted inside the tube.     

Diffraction of light by a perfectly conducting biaxial periodic surface

The Rayleigh theory is numerically implemented for a crossed sinusoidal grating. It is shown that the scattering pattern of such a structure can be very sensitive to the polarization of a normally-incident plane wave when the surface periodicities are of the order of the wavelength.     

Diffraction by a periodic surface and the adaptive collocation method

Institute of Physical Problems, Academy of Sciences of the USSR. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 33, No. 2, pp. 231–237, February, 1990.