The applicability of the developed FDTD algorithm for purposes of optical data storage is proved by investigating the interaction of a Gaussian laser beam and a DVD-RAM disk. As a part of this thesis, a three-dimensional parallel FDTD algorithm based on the MPI (Message Passing Interface) library is introduced for Beowulf cluster systems, where many PCs are connected to each other by a network. These limitations can be significantly reduced by using parallel computing. The available memory limits the maximum size of a computational domain that can be simulated, while the long computational times restrict the use of the FDTD method for 'what-if' simulations.
The disadvantages of the FDTD method are its relatively high memory requirements and long computational times. This leads to an algorithm, which provides reliable solutions of field distributions and is applicable for a wide range of problems of computational electrodynamics. The FDTD method approximates continuous time and space derivatives of Maxwell's equations in a spatial grid by finite difference operators. The solution has to be sought via numerical methods based on the Maxwell's equations. When the light interacts with structural elements comparable in size to the wavelength of the incident light, as in optical data storage, it is not permissible to invoke assumptions of scalar diffraction theories. This thesis presents a brief survey of Finite Difference Time Domain (FDTD) method, which is widely used to estimate the viability of new optical data storage methods. To meet these needs, new storage methods in magnetic and optical data storage are extensively studied our attention is confined to optical data storage. The vicinity of the data layer is observed to be clearly polarizationĪbstract = "The need for information storage is increasing at an explosive rate, fueled by global interconnection networks, miniaturized mobile devices, and multimedia requirements for text, images, video and audio. Purposes of optical data storage is proved by investigating the interaction ofĪ Gaussian laser beam and a DVD-RAM disk. The applicability of the developed FDTD algorithm for
Introduced for Beowulf cluster systems, where many PCs are connected to each As a part of this thesis, a three-dimensional parallelįDTD algorithm based on the MPI (Message Passing Interface) library is These limitations can be significantly reduced by using The long computational times restrict the use of the FDTD method for Limits the maximum size of a computational domain that can be simulated, while High memory requirements and long computational times. The disadvantages of the FDTD method are its relatively Leads to an algorithm, which provides reliable solutions of fieldĭistributions and is applicable for a wide range of problems of computationalĮlectrodynamics. Of Maxwell's equations in a spatial grid by finite difference operators. The FDTD method approximates continuous time and space derivatives Solution has to be sought via numerical methods based on the Maxwell'sĮquations. Not permissible to invoke assumptions of scalar diffraction theories. To the wavelength of the incident light, as in optical data storage, it is When the light interacts with structural elements comparable in size Which is widely used to estimate the viability of new optical data storage Thesis presents a brief survey of Finite Difference Time Domain (FDTD) method, Needs, new storage methods in magnetic and optical data storage areĮxtensively studied our attention is confined to optical data storage. Multimedia requirements for text, images, video and audio. Furthermore, we have implemented the Adaptive Mesh Refine.The need for information storage is increasing at an explosive rate,įueled by global interconnection networks, miniaturized mobile devices, and
#Fdtd algorithm full
We have developed a moving window full Maxwell solver algorithm with perfectly matched absorbing layer PML boundary conditions in order to accurately simulate the propagation of localized waves over a very long distance millions of wavelength in complex media. We have extended the overlapping Yee FDTD method to locally non-orthogonal grids, with application to the optical force computation on nanoparticles. A novel stable anisotropic FDTD algorithm based on the overlapping cells has been developed for solving Maxwells equations of electrodynamics in anisotropic media with material interface between anisotropic dielectrics and dispersive medium or Perfect Electric Conductor PEC. We have extended the subpixel smoothing FDTD method to material interface between dielectric and dispersive media by local coordinate rotation. We focus on mathematical studies of the key unresolved issues in the Finite-Difference Time-Domain FDTD electromagnetic simulations. The main objective of our effort is the development of stable, accurate and efficient Maxwell solvers.