Bölüm "Işık University, Faculty of Arts and Sciences, Department of Mathematics" Scopus İndeksli Bildiri Koleksiyonu için listeleme
Toplam kayıt 13, listelenen: 1-13
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Beam tracing theory in Minkowski space
(IEEE, 2011)This paper provides a novel approach to beam theory in homogeneous lossless mediun. The main idea is to interpret the classic eikonal equation in three dimensional Minkowski space. -
Bounded harmonic mappings related to starlike functions
(Amer Inst Physics, 2014-12-17)Let f = h(z) + <(g(z))over bar> be a sense-preserving harmonic mapping in the open unit disc D = {z vertical bar vertical bar z vertical bar < 1}. If f satisfies the condition vertical bar 1/b(1) g'(z)/h' (z) - M vertical ... -
Complex and real rays in three dimensional Minkowski space
(IEEE, 2002)A new approach to the theory of complex rays is proposed. It is shown that the Minkowski space is more appropriate for describing these rays than the usual, Euclidian spaces. Some illustrative examples are represented. -
Cross-sectional thermoacoustic imaging using multi-layer cylindrical media
(IEEE, 2017-11-10)For cross-sectional two-dimensional thermoacustic imaging of breast and brain, we explored solution of the wave equation using layered tissue model consisting of concentric annular layers on a cylindrical cross-section. ... -
Çok katmanlı düzlemsel ortam için termoakustik dalga denkleminin çözümü
(IEEE, 2017-06-27)Bu çalışmada, farklı akustik parametrelere sahip çok katmanlı düzlemsel ortam için tüm katmanlarda kaynak dağılımı olduğu varsayımı altında termoakustik dalga denkleminin analitik olarak düz ve ters çözümü elde edilmiştir. ... -
Çok katmanlı silindirik yapılar için termoakustik dalga denkleminin ters çözümü
(IEEE, 2017-06-27)Termoakustik görüntüleme, elektromanyetik enerji uyarımı ile ultrason dalgaları oluşumunu sağlayan yeni bir yöntemdir. Bu sistemin görüntüleme işlemi termoakustik dalga denkleminin ters çözümüne dayanmaktadır. Ters çözümde ... -
Nonlinear wave modulation in a prestressed thin elastic tube filled with an inviscid fluid
(Wit Press, 2002)In the present work, employing the nonlinear equations of an incompressible, isotropic and elastic thin tube and the approximate equations of an incompressible inviscid fluid and then utilizing the reductive perturbation ... -
Nonlinear waves in a stenosed elastic tube filled with viscous fluid: Forced perturbed korteweg-de vries equation
(Springer Science and Business Media, LLC, 2008)In the present work, treating the artery as a prestressed thin-walled and long circularly cylindrical elastic tube with a mild symmetrical stenosis and the blood as an incompressible Newtonian fluid, we have studied the ... -
On complex solutions of the eikonal equation
(IEEE, 2007)In this paper a new approach of complex rays in an inhomogeneous medium is presented. Complex rays are complex solutions of the eikonal equation, the main equation of the geometical optics. It is shown that solving the ... -
Quasiconformal harmonic mappings related to Janowski alpha-spirallike functions
(Amer Inst Physics, 2014)Let f = h(z) + g(z) be a univalent sense-preserving harmonic mapping of the open unit disc D = {z/vertical bar z vertical bar < 1}. If f satisfies the condition vertical bar omega(z)vertical bar = vertical bar g'(z)/h'(z)vertical ... -
Thermoacoustic image reconstruction based on layered tissue model
(SPIE-Int Soc Optical Engineering, 2017)We derived analytical forward and inverse solution of thermoacoustic wave equation for inhomogeneous multi layered planar and cylindrical mediums with the source distribution existing in all layers. These solutions are ... -
Travelling waves in a prestressed elastic tube filled with a fluid of variable viscosity
(Springer, 2008)In this work, treating the artery as a prestressed thin elastic tube with variable radius and the blood as all incompressible Newtonian fluid with variable viscosity, the propagation of nonlinear waves ill Such a composite ... -
Two reflector non symmetric shaped antenna systems
(IEEE, 2000)Two reflector antenna systems with non symmetric reflecting surfaces under GO approximation are investigated. It is shown, that the problem of forming desired far field pattern leades to solving the system of partial ...