In this paper a gradient index media plate is described. The media plate has some properties similar to the Schmidt aspherical corrective plate. In the catadioptiric system,Duncan T. Moors has studied a axial gradien...In this paper a gradient index media plate is described. The media plate has some properties similar to the Schmidt aspherical corrective plate. In the catadioptiric system,Duncan T. Moors has studied a axial gradient index corrective plate and gave a better result. His plate,in fact,is a zero power plate with two Spherical surfaces of different radius of curvature. However ,my plate is a parallel plate designed forth a shallow radial gradient index media. The spherical aberration of the gradient index corrector with parallel plane ed eliminate the spherical aberration of the spherical primary mirror in the catadioptiric system. In this paper the aberrational correction is analyzed. In the conventional optical systems,this gradient index plate is used to provide the precorrectional quantity of the spherical aberration of the optical lee systems. The refractive index in such a media in the lens systems is given in the same way.展开更多
We present a detailed theoretical description of wave propagation in an acoustic gradient-index system with cylindrical symmetry and demonstrate its potential to numerically control acoustic waves in different ways.Th...We present a detailed theoretical description of wave propagation in an acoustic gradient-index system with cylindrical symmetry and demonstrate its potential to numerically control acoustic waves in different ways.The trajectory of an acoustic wave within the system is derived by employing the theory of geometric acoustics,and the validity of the theoretical descriptions is verified numerically by using the finite element method simulation.The results show that by tailoring the distribution function of the refractive index,the proposed system can yield a tunable manipulation of acoustic waves,such as acoustic bending,trapping,and absorbing.展开更多
文摘In this paper a gradient index media plate is described. The media plate has some properties similar to the Schmidt aspherical corrective plate. In the catadioptiric system,Duncan T. Moors has studied a axial gradient index corrective plate and gave a better result. His plate,in fact,is a zero power plate with two Spherical surfaces of different radius of curvature. However ,my plate is a parallel plate designed forth a shallow radial gradient index media. The spherical aberration of the gradient index corrector with parallel plane ed eliminate the spherical aberration of the spherical primary mirror in the catadioptiric system. In this paper the aberrational correction is analyzed. In the conventional optical systems,this gradient index plate is used to provide the precorrectional quantity of the spherical aberration of the optical lee systems. The refractive index in such a media in the lens systems is given in the same way.
基金supported by the National Basic Research Program of China(Grant Nos.2010CB327803 and 2012CB921504)the National Natural Science Foundation of China(Grant Nos.11174138,11174139,11222442,81127901,and 11274168)+1 种基金NCET-12-0254the Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions,China
文摘We present a detailed theoretical description of wave propagation in an acoustic gradient-index system with cylindrical symmetry and demonstrate its potential to numerically control acoustic waves in different ways.The trajectory of an acoustic wave within the system is derived by employing the theory of geometric acoustics,and the validity of the theoretical descriptions is verified numerically by using the finite element method simulation.The results show that by tailoring the distribution function of the refractive index,the proposed system can yield a tunable manipulation of acoustic waves,such as acoustic bending,trapping,and absorbing.
