• Title/Summary/Keyword: Spherical Wave Analysis

Search Result 34, Processing Time 0.027 seconds

Analysis of Corneal Higher-order Aberrations after Myopic Refractive Surgery

  • Kim, Jeong-mee
    • Current Optics and Photonics
    • /
    • v.3 no.1
    • /
    • pp.72-77
    • /
    • 2019
  • This study was performed to analyze the optical aberrations of the cornea induced by myopic refractive surgery. Corneal total higher-order aberrations, spherical aberration and coma for 4-mm and 6-mm pupils were measured using a wave-front analyzer. The amount of aberrations of the oblate corneal optics by the achieved correction was found to be larger than for the prolate corneal shape with complete eye, in an emmetropia control group. The change in corneal shape acts as an optical factor that degrades the quality of the retinal image; it seems to be one of the important factors related to quality of vision.

A Study on the Impact Fracture of Fragile Materials (취성재료의 충격파괴에 관한 연구 II)

  • 양인영;김택현;정낙규;이상호;김선규
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.14 no.6
    • /
    • pp.1417-1425
    • /
    • 1990
  • In this paper, when the glass plate of fragile material is subjected to impact load, the fracture pattern and the generation phenomenon of cone crack were theoretically clarified by using the analysis method of impulsive stress in the first paper. The numerical analysis results of strain distribution at a distance of 0.1cm, from the impact loading point to 5cm, were compared with experimental results. The main conclusions obtained are as follows; (1) The generation phenomenon of cone crack at the impact fracture of the glass plate can be analytically confirmed by using the three dimensional dynamic theory of elasticity. And the numerical analysis results of strain distribution using this theory are relatively in close agreement with the crack size obtained from the impact fracture experiment. (2) After the stress wave generated at the impact point propagated to the spherical compressive wave, this stress wave reflected from the back surface and reached again at the surface of the plate to the spherical stress wave. Then the generation of cone crack can be confirmed along the stress wave surface. (3) The plate is the thicker, the more is the generation phenomenon of cone crack at the lower impact velocity range (20m/s-35m/s). Because the fracture generate before the maximum tensile stress acting to the glass plate, cone crack was rarely ever generated.

Near-field Sonar Cross Section Analysis of Underwater Target Using Spherical Projection Method (구면투영법을 이용한 수중표적의 근거리장 소나단면적 해석)

  • Kim, Kook-Hyun;Cho, Dae-Seung
    • Journal of the Society of Naval Architects of Korea
    • /
    • v.45 no.6
    • /
    • pp.695-702
    • /
    • 2008
  • In this paper, a new numerical method is proposed to analyze near-field sonar cross section of acoustically large-sized underwater targets such as submarines. A near-field problem is converted to a far-field problem using a spherical projection method with respect to the objective target. Then, sonar cross section is calculated with a physical optics well established in far-field acoustic wave scattering problems. The analysis results of a square flat plate compared with those obtained by other method show the accuracy of the proposed method. Moreover, it is noted that the sonar cross section is varied with respect to the targeting point as well as the range. Finally, numerical analysis results of real-like underwater target such as a submarine pressure hull are discussed.

Design of a Multimode Piezoelectric Spherical Vector Sensor for a Cardioid Beam Pattern (심장형 빔 패턴을 위한 다중모드 압전 구형 벡터센서 설계)

  • Lim, Youngsub;Lee, Jaeyoung;Joh, Cheeyoung;Seo, Heeseon;Roh, Yongrae
    • The Journal of the Acoustical Society of Korea
    • /
    • v.32 no.1
    • /
    • pp.32-42
    • /
    • 2013
  • Typical underwater piezoelectric spherical sensors are omni-directional, thus can measure the scalar quantity sound-pressure-magnitude only with the limitation not being able to measure the direction of the incoming wave. This paper proposes a method to simultaneously measure both the magnitude and direction of the sound wave with the spherical sensor. The method divides the piezoceramic sphere of the sensor into eight elements, and distinguishes the magnitude and direction of the sound pressure by combining the output voltage of the elements in a particular manner. Further, through the analysis of the sensitivity variation in relation to the structural parameters like radius and thickness of the piezoceramic sphere, we have suggested the way to improve the sensitivity of the vector sensor.

Analysis of acoustic scattering characteristics of an aluminum spherical shell with different internal fluids and classification using pseudo Wigner-Ville distribution (구형 알루미늄 쉘 내부의 충전 유체에 따른 수중 음향 산란 특성 분석 및 유사 위그너-빌 분포를 이용한 식별 기법 연구)

  • Choo, Yeon-Seong;Byun, Sung-Hoon;Kim, Sea-Moon;Lee, Keunhwa
    • The Journal of the Acoustical Society of Korea
    • /
    • v.38 no.5
    • /
    • pp.549-557
    • /
    • 2019
  • The acoustical scattering characteristics of a target are influenced by the material properties and structural characteristics of the target, which are critical information for acoustic detection and identification of underwater target. In particular, for thin elastic target, unique scattered signals are generated around the target by the Lamb wave. In this paper, the results of scattered signal measurement of aluminum spherical shell in the water tank using the stepped frequency sweep sine signal are presented. In particular, the scattering of the water-filled aluminum spherical shell is compared with that of the air-filled one both theoretically and experimentally. The difference of the scattered signals are analyzed using the pseudo Wigner-Ville distribution in terms of average frequency, frequency distribution, and energy of the scattered signal. The result shows that all observed parameters increased when the aluminum sphere was water-filled, and it is well matched to the theoretical expectation.

Nonlocal strain gradient 3D elasticity theory for anisotropic spherical nanoparticles

  • Karami, Behrouz;Janghorban, Maziar;Tounsi, Abdelouahed
    • Steel and Composite Structures
    • /
    • v.27 no.2
    • /
    • pp.201-216
    • /
    • 2018
  • In this paper, three-dimensional (3D) elasticity theory in conjunction with nonlocal strain gradient theory (NSGT) is developed for mechanical analysis of anisotropic nanoparticles. The present model incorporates two scale coefficients to examine the mechanical characteristics much accurately. All the elastic constants are considered and assumed to be the functions of (r, ${\theta}$, ${\varphi}$), so all kind of anisotropic structures can be modeled. Moreover, all types of functionally graded spherical structures can be investigated. To justify our model, our results for the radial vibration of spherical nanoparticles are compared with experimental results available in the literature and great agreement is achieved. Next, several examples of the radial vibration and wave propagation in spherical nanoparticles including nonlocal strain gradient parameters are presented for more than 10 different anisotropic nanoparticles. From the best knowledge of authors, it is the first time that 3D elasticity theory and NSGT are used together with no approximation to derive the governing equations in the spherical coordinate. Moreover, up to now, the NSGT has not been used for spherical anisotropic nanoparticles. It is also the first time that all the 36 elastic constants as functions of (r, ${\theta}$, ${\varphi}$) are considered for anisotropic and functionally graded nanostructures including size effects. According to the lack of any common approximations in the displacement field or in elastic constant, present theory can be assumed as a benchmark for future works.

Secondary buckling analysis of spherical caps

  • Kato, Shiro;Chiba, Yoshinao;Mutoh, Itaru
    • Structural Engineering and Mechanics
    • /
    • v.5 no.6
    • /
    • pp.715-728
    • /
    • 1997
  • The aim of this paper is to investigate the secondary buckling behaviour and mode-coupling of spherical caps under uniformly external pressure. The analysis makes use of a rotational finite shell element on the basis of strain-displacement relations according to Koiter's shell theory (Small Finite Deflections). The post-buckling behaviours after a bifurcation point are analyzed precisely by considering multi-mode coupling between several higher order harmonic wave numbers: and on the way of post-buckling path the positive definiteness of incremental stiffness matrix of uncoupled modes is examined step by step. The secondary buckling point that has zero eigen-value of incremental stiffness matrix and the corresponding secondary mode are obtained, moreover, the secondary post-buckling path is traced.

Development of indirect EFBEM for radiating noise analysis including underwater problems

  • Kwon, Hyun-Wung;Hong, Suk-Yoon;Song, Jee-Hun
    • International Journal of Naval Architecture and Ocean Engineering
    • /
    • v.5 no.3
    • /
    • pp.392-403
    • /
    • 2013
  • For the analysis of radiating noise problems in medium-to-high frequency ranges, the Energy Flow Boundary Element Method (EFBEM) was developed. EFBEM is the analysis technique that applies the Boundary Element Method (BEM) to Energy Flow Analysis (EFA). The fundamental solutions representing spherical wave property for radiating noise problems in open field and considering the free surface effect in underwater are developed. Also the directivity factor is developed to express wave's directivity patterns in medium-to-high frequency ranges. Indirect EFBEM by using fundamental solutions and fictitious source was applied to open field and underwater noise problems successfully. Through numerical applications, the acoustic energy density distributions due to vibration of a simple plate model and a sphere model were compared with those of commercial code, and the comparison showed good agreement in the level and pattern of the energy density distributions.

Fabrication of holographic zone plate using dichromated gelatin hologram (Dichromated Gelatin 박막을 이용한 홀로그래픽 Zone Plate 제작 및 해석)

  • 임용석;이영락;곽종훈;최옥식
    • Korean Journal of Optics and Photonics
    • /
    • v.8 no.1
    • /
    • pp.19-25
    • /
    • 1997
  • Holographic zone plate (HZP) is fabricated by interfering a plane wave and a spherical wave in a dichromated gelatin (DCG) film obtained from Agfa 8E75HD plates. We have developed a simple theory for HZP considering optical nonlinearity of DCG material. Analysis of our theory for HZP shows that it has infinite focal points at distances f,f/2, f/3,,…. In experiment, we observed the corresponding focal points of up to f/6 when illuminating HZP by a plane wave. It is also shown that the beam profile around the first focal point measured by using a knife-edge scanning method has a Gaussian shape.

  • PDF

Acoustic Scattering Analysis of a Spherical Shell using a coupled FE-BE Method (결합형 유한요소-경계요소 기법을 사용한 구형체의 음향 산란 해석)

  • Jarng, Soon-Suck
    • Journal of Sensor Science and Technology
    • /
    • v.7 no.1
    • /
    • pp.9-16
    • /
    • 1998
  • This paper describes how the directivity pattern of the scattered sound pressure is distributed when a plane acoustic wave is incident on a rigid or soft spherical shell underwater. A coupled Finite Element-Boundary Element method is developed as a numerical technique. The result of the coupled FE-BE method is agreed with theoretical solution for algorithmic confirmation.

  • PDF