1 edition of Computational methods for electromagnetic and optical systems found in the catalog.
Computational methods for electromagnetic and optical systems
John M. Jarem
Includes bibliographical references and index.
|Statement||John M. Jarem, Partha P. Banerjee|
|Series||Optical science and engineering -- 149, Optical science and engineering (Boca Raton, Fla.) -- 149.|
|Contributions||Banerjee, Partha P.|
|LC Classifications||QC760 .J47 2011|
|The Physical Object|
|Pagination||xv, 416 p. :|
|Number of Pages||416|
|LC Control Number||2010045338|
Free shipping for individuals worldwide Usually dispatched within 3 to 5 business days. Examples from our efforts, which have civilian and military relevance, are given to illustrate the potential impact these classes of numerical simulators will have in the design and control of large-scale integrated photonics devices and systems. The authors invoke both theoretical analytical and numerical and experimental techniques for handling the problems. About Andrew F.
Their bandwidth and intensity have been increasing, to the point at which the materials they interact with no longer respond in a linear fashion. The first application of the FMM in computational electromagnetics was by Engheta et al. In solving partial differential equationsthe primary challenge is to create an equation which approximates the equation to be studied, but which is numerically stablemeaning that errors in the input data and intermediate calculations do not accumulate and destroy the meaning of the resulting output. Plane wave time-domain[ edit ] While the fast multipole method is useful for accelerating MoM solutions of integral equations with static or frequency-domain oscillatory kernels, the plane wave time-domain PWTD algorithm employs similar ideas to accelerate the MoM solution of time-domain integral equations involving the retarded potential. Computational Methods for Electromagnetics is designed for graduate-level classroom use or self-study, and every chapter includes problems. Therefore this book will be useful to everyone having interest in computational electrodynamics.
These models have become quite sophisticated; they have predicted and explained many of the nonlinear as well as linear effects in present devices and systems. However, with a time-domain-based modeling approach, the time-dependent properties of materials can be taken into account allowing for a broader range of material possibilities. The user must understand and master the validity domain of its simulation. The FMM was first introduced by Greengard and Rokhlin   and is based on the multipole expansion technique.
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Finite integration technique[ edit ] The finite integration technique FIT is a spatial discretization scheme to numerically solve Computational methods for electromagnetic and optical systems book field problems in time and frequency domain. Their bandwidth and intensity have been increasing, to the point at which the materials they interact with no longer respond in a linear fashion.
Designed specifically for graduate students, practicing engineers, and researchers, this series provides affordable volumes that explore electromagnetic waves and applications beyond the undergraduate level. Conceptually, it works by constructing a "mesh" over the modeled surface.
This approach has been successfully applied in modeling near-field detection of subwavelength-sized rectangular wells in a perfect conductor surface in two dimensions Kann et al.
Most current simulation models are based on known macroscopic, phenomenological models that avoid issues dealing with specific microscopic behavior of the materials in such NLO devices. They included the linear Lorentz dispersion model, the nonlinear Debye model, the nonlinear Raman model, and the instantaneous nonlinear Kerr model.
The method is pseudo-spectral because temporal derivatives are calculated in the frequency domain with the aid of FFTs. An extension of this model is given which includes both the Raman and the instantaneous Kerr nonlinear materials models to describe locally linear and nonlinear finite length corrugated optical waveguides for applications to grating-assisted couplers and beam steerers.
Part 4 focuses on a set of topical themes that brings the reader to the frontier of research in building the simulation tools, using the gauge principle in computational electrodynamics.
The hybrid FDTD approach gives a quick and accurate description of the near and radiated fields for almost any arbitrary grating design in two spatial dimensions.
Quantum mechanical effects begin to manifest themselves; the simulation models must incorporate this behavior to be relevant. Furthermore, these methods do not work well for structures that are not strictly periodic, such as gratings with variations in the size or periodicity of the grating teeth.
On the more esoteric side, numerical relativity is a relatively new field interested in finding numerical solutions to the field equations of general and special relativity, and computational particle physics deals with problems motivated by particle physics. Many of these examples apply the complex Poynting theorem or the forwardscattering optical theorem to validate numerical solutions by verifying power conservation.
Physical optics[ edit ] Physical optics PO is the name of a high frequency approximation short- wavelength approximation commonly used in optics, electrical engineering and applied physics. The book reveals a range of problems associated with wave propagation and scattering in natural and artificial environments or with the Computational methods for electromagnetic and optical systems book of antennas elements.
An example of where a realistic metal model is important is when light impinges onto the surface of an optical disk. The first application of the FMM in computational electromagnetics was by Engheta et al. Approximately 30 commercial and university-developed software suites are available.
Nonlinearities can be included in the formulation, although they generally introduce volume integrals which require the volume to Computational methods for electromagnetic and optical systems book discretized before solution, removing an oft-cited advantage of BEM.
Phenomenological nonresonant models lose their ability to describe the physics in this parameter regime; hence, they lose their accuracy there. To achieve this, the book contains several MATLAB programs and detailed description of practical issues such as assembly of finite element matrices and handling of unstructured meshes.
Further, the models and the analysis apply to both the time and the frequency domains. Eigenmode expansion can solve Maxwell's equations in 2D and 3D and can provide a fully vectorial solution provided that the mode solvers are vectorial.
The global structures that one deals with in integrated photonic systems are very large relative to their operating wavelengths, but their substructures are subwavelength in size. It is felt that vector and higher dimensional properties of Maxwell's equations that are not currently included in existing scalar models in addition to more detailed material and device structure models may significantly impact the scientific and engineering results.
Research interests Wave scattering theory, analytical and numerical techniques for wave motion simulation, resonance phenomena, spectral theory of open structures, operator theory and its applications. The network formulation of field problems can improve the problem formulation and also contribute to the solution methodology.
In physics, the principle of gauge invariance plays a pivotal role as a guide towards a sensible formulation of the laws of nature as well as for computing the properties of elementary particles using the lattice formulation of gauge theories. An FDTD modeling tool, which models the problem on a subsectional level, is ideally suited to these more complicated grating surfaces.
Andrew F., ,Computational Methods for Electromagnetic and Optical Systems, 2nd Edition, John M. Jarem, Partha P. Banerjee, This text is a collection of contributions covering a wide range of topics of interdisciplinary character, from materials to systems, from microdevices to large equipment, with special emphasis on emerging subjects and particular attention to advanced computational methods in order to model both devices and systems.
The book provides the solution to challenging problems of research on non. The current rapid and complex advancement applications of electromagnetic (EM) and optical systems calls for a much needed update on the computational methods currently in use.
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