Short Courses

• Antenna Design Using the FDTD Technique
  
  
• Method of transfer relations with applications to optical gratings, photonic crystals, and wave interference effects in random dielectric media
  

Other short courses are being planned. Details will be posted here soon. Participants should send the short course registration form to

PIERS Office
c/o Dr. Yan Zhang
MIT Room 26-305
77 Massachusetts Avenue
Cambridge, MA 02139, USA
Fax: +1-617-258-8766 and/or +1-617-258-9525
E-mail: yan@ewt.mit.edu and/or pacheco@mit.edu

PIERS reserves the right to cancel any or all of the short courses listed above. All short course participants are required to register for PIERS 2002 at normal rate. Registration must be completed with tuition paid by May 31, 2002 Should cancellations occur, announcements will be made here, and tuition fees will be refunded.

Title: "Antenna Design Using the FDTD Technique"

Instructor
Professor Atef Elsherbeni, University of Mississippi, USA

Description

This course will provide an overview of the finite difference time domain (FDTD) method as applied to antennas and microwave devices. The first half of the course will be dedicated to the basic theories for developing a working algorithm. Among the topics to be covered are: Maxwell's equations in Cartesian coordinates, difference approximations, Yee algorithm, total vs. scattered field formulation, numerical stability, numerical dispersion, plane wave representation, types of sources, types of waveforms, absorbing boundary conditions, thin wire approximation, near to far field transformation, dispersive media, and modeling of lumped elements. The second half of the course will be dedicated to presenting examples of how to apply the FDTD technique for analyzing antennas, crosstalk in digital circuits, and biological effects of hand-held communication antennas. The attendee will receive a CD containing 1D and 2D executable codes with a graphical user interface including PML absorbing boundary condition, and a 3D Matlab source code with a p-coded absorbing boundary condition.

Biography of Instructor

Atef Elsherbeni, Professor of Electrical Engineering, University of Mississippi

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Title: "Method of transfer relations with applications to optical gratings, photonic crystals, and wave interference effects in random media"

Course ID: Barabanenkov
Duration: Half
Tuition: US$100
Date: Wednesday, July 3, 2002, 1:00-5:00 PM

Instructor
Dr. Yu. N. Barabanenkov, Institute of Radioengineering and Electronics, Russian Academy of Sciences, Russia

Description

The current generation of experiments on study the resonance phenomena at light and microwave scattering by an inhomogeneous (periodic or random) volume dielectric structure of two (2D) or three (3D) dimensions, and by a rough (periodic or random) 1D or 2D surface separating two dielectric media requires an accurate, fast, general technique in theory of electromagnetic wave multiple scattering. Of course, the direct way consists in seeking a numerical solution to the exact self- consistent equations (SCE) of wave multiple scattering of Foldy- Lax- Watson-Twersky. But on this way one has to deal with a Fredholm integral equation that may be very time-consuming at study the resonance phenomena by wave multiple scattering. Therefore, it is worth transforming the mentioned SCE of wave multiple scattering into a Volterra integral equation. In fact, one could meet some sorts of such transformation ,e.g., in the form of invariant imbedding formalism, transfer matrix technique, layer- doubling algorithm. The most general equations of this Volterra type approach has been formulated by Reid and Redheffer in 1959 as the method of matrix Riccati equation for the wave scattering matrix. In the lecture, it is shown successively how the Reid- Redheffer formalism is obtained from the SCE of wave multiple scattering theory. More precisely, in the lecture it is considered an accurate and united several modern approaches technique, so called transfer relations' method, to study on the same unified footing the multiple scattering of classical electromagnetic waves by a 2D or 3D inhomogeneous volume dielectric medium, and by a rough 1D or 2D surface separating two dielectric media. The method consists of notional subdividing a dielectric structure under study into a stack of elementary slices with infinitesimal splits between them. Using the composition rule of T - matrices leads to a system of exact algebraic matrix equations (transfer relations) for the matrix wave reflection and transmission coefficients of the stack of slices and for the matrix amplitudes of waves in splits between slices (local fields). The transfer relations lead, in turn, to a system of invariant imbedding differential equations for the wave scattering matrix of the dielectric structure with given 'initial' conditions with respect to the imbedding parameter, as well as to a separate system of differential equations for the wave matrix amplitudes of local fields inside the dielectric structure. One has to note that the basic equation of the system ones for the wave scattering matrix is the Riccati equation for the matrix wave reflection coefficient of the dielectric structure, and the wave scattering matrix consists of two matrix wave reflection and two matrix wave transmission coefficients of the structure, with taking into account the mutual transformation between propagating and evanescent waves. On the other hand, the system of differential equations for the wave matrix amplitudes of local fields is, in fact, a linear differential equation of invariant imbedding formalism for the transfer matrix of the dielectric structure. Numerical solution to the system of invariant imbedding differential equations for the wave scattering matrix is applied to (1) simulation the Wood- Palmer resonant anomalies on a 1D optical grating attributed to the groove depth effect, originated from wave multiple reflection on the facets of the grooves, and also the resonant anomalies related to the exciting the surface plasmon polaritons; (2) simulation the structural resonances in a 2D dielectric scatterer illuminated by an evanescent wave; (3) study wave scattering on almost periodic 1D rough surface; (4) demonstration the layer by layer formation of an opaque- band in transmission spectra of a non- absorptive 2D photonic crystal, and make comparison an opaque- band in transmission spectra in a random array of 2D dielectric scatterers with the opaque- band in the corresponding 2D photonic crystal structure, i.e., gain some insight into connection between the forbidden band and wave strong localization in 2D dielectric structure. For the model of 1D optical grating with needle's rows, and 2D photonic crystal with needle's rods the system of invariant imbedding differential equations for the wave scattering matrix is solved analytically. In the case of wave propagation in a random medium with Gaussian fluctuations of the dielectric permittivity, the stochastic Liouville equation for the probability distribution functional of the wave scattering matrix is derived, which is transformed asymptotically by ensemble averaging into a functional Fokker- Planck equation for the mentioned probability distribution functional. The obtained on microscopic level Fokker- Planck equation in functional derivatives is discussed in application to the study the correlations and fluctuations of waves reflected from and transmitted through a random medium slab and compared with the macroscopic Fokker- Planck equation of Dorokhov- Mello- Pereyra- Kumar for electronic wave propagation in a multichannel disordered conductors based on hypothesis about "isotropic" distribution of the "phase" factors of the transfer matrix.

Biography of Instructor