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Multiple-grid adaptive integral method for general multi-region problems
textEfficient electromagnetic solvers based on surface integral equations (SIEs) are developed for the analysis of scattering from large-scale and complex composite structures that consist of piecewise homogeneous magnetodielectric and perfect electrically/magnetically conducting (PEC/PMC) regions. First, a multiple-grid extension of the adaptive integral method (AIM) is presented for multi-region problems. The proposed method accelerates the iterative method-of-moments solution of the pertinent SIEs by employing multiple auxiliary Cartesian grids: If the structure of interest is composed of K homogeneous regions, it introduces K different auxiliary grids. It uses the k^{th} auxiliary grid first to determine near-zones for the basis functions and then to execute AIM projection/anterpolation, propagation, interpolation, and near-zone pre-correction stages in the k^{th} region. Thus, the AIM stages are executed a total of K times using different grids and different groups of basis functions. The proposed multiple-grid AIM scheme requires a total of O(N^{nz,near}+sum({N_k}^Clog{N_k}^C)) operations per iteration, where N^{nz,near} denotes the total number of near-zone interactions in all regions and {N_k}^C denotes the number of nodes of the k^{th} Cartesian grid. Numerical results validate the method’s accuracy and reduced complexity for large-scale canonical structures with large numbers of regions (up to 10^6 degrees of freedom and 10^3 regions). Then, a Green function modification approach and a scheme of Hankel- to Teoplitz-matrix conversions are efficiently incorporated to the multiple-grid AIM method to account for a PEC/PMC plane. Theoretical analysis and numerical examples show that, compared to a brute-force imaging scheme, the Green function modification approach reduces the simulation time and memory requirement by a factor of (almost) two or larger if the structure of interest is terminated on or resides above the plane, respectively. In addition, the SIEs are extended to cover structures composed of metamaterial regions, PEC regions, and PEC-material junctions. Moreover, recently introduced well-conditioned SIEs are adopted to achieve faster iterative solver convergence. Comprehensive numerical tests are performed to evaluate the accuracy, computational complexity, and convergence of the novel formulation which is shown to significantly reduce the number of iterations and the overall computational work. Lastly, the efficiency and capabilities of the proposed solvers are demonstrated by solving complex scattering problems, specifically those pertinent to analysis of wave propagation in natural forested environments, the design of metamaterials, and the application of metamaterials to radar cross section reduction.Electrical and Computer Engineerin
Manipulating enhanced photoluminescence of upconversion nanoparticles by plasmonic nanostructures and broadband light absorption
Rare-earth upconversion nanoparticles, such as those composed of lanthanide-doped NaYF4,
can convert two or more low-energy photons at longer wavelength into one high-energy photon
at a shorter wavelength. Solar water splitting devices that incorporate them can therefore
harvest otherwise lost photons in the near-infrared region of the electromagnetic spectrum.
The conversion e ciencies of these nanoparticles have, however, been extremely poor to date,
eliminating any potential bene t (with respect to the photocurrent of water splitting devices
themselves) of being incorporated into photoelectrode devices. Towards overcoming this impasse,
the aim of this Ph.D project is to investigate the feasibility of a hybrid photoelectrode system
where upconverting nanoparticles are coupled to a plasmonic structure and conjugated with
dye molecules that absorb below bandgap photons. The synergistic enhancement e ect of
plasmonic and broadband absorption of dye molecules could signi cantly improve the conversion
e ciency of lanthanide-doped NaYF4. The dye molecules act as a sensitiser: they absorb
near-infrared light over a broad range and subsequently transfer the associated energy to the
their upconverting nanoparticles via F orster resonance energy transfer. On the other hand, the
plasmonic components enhance both the upconversion process and F orster resonance energy
transfer process, by increasing the incident electromagnetic eld intensity and the radiative
emission rate via surface plasmon resonance.
In this project, hexagonal phase NaYF4 co-doped with Yb3+ and Er3+ upconversion nanocrystals
(UCNPs) were synthesized. Plasmonic enhanced upconversion; dye-sensitised upconversion,
and nally plasmonic broadband dye-sensitised upconversion were investigated using Au nanodisk
(AuND) 2D arrays. The enhanced upconversion were observed with 26-fold and 19-fold
enhancements for green and red emission on AuND arrays, respectively. In parallel, single
infrared dye IR808 and multiple infrared dyes were conjugated to UCNPs, with 5.5-fold and
3.9-fold enhancements observed in green emission. Finally, plasmonic enhanced broadband
upconversion with 10-fold enhancement was recorded. For proof of concept, UCNPs and
three-dye-sensitised UCNPs coupled with AuND arrays were deposited on hematite-based photoelectrodes.
Photocurrent was clearly obtained from UCNPs coupled hematite on AuND arrays
when excited below the bandgap of hematite. The proof of concept established in this thesis
could not only nd applications in arti cial solar water splitting, but also has huge potential in
applications such as biological sensing, imaging and therapy based on upconversion nanoparticles.Open Acces
A Novel Transport Based Model for Wire Media and Its Application to Scattering Problems
Artificially engineered materials, known as metamaterials, have attracted the interest of researchers because of the potential for novel applications. Effective modeling of metamaterials is a crucial step for analyzing and synthesizing devices. In this thesis, we focus on wire medium (both isotropic and uniaxial) and validate a novel transport based model for them.
Scattering problems involving wire media are computationally intensive due to the spatially dispersive nature of homogenized wire media. However, it will be shown that using the new model to solve scattering problems can simplify the calculations a great deal.
For scattering problems, an integro-differential equation based on a transport formulation is proposed instead of the convolution-form integral equation that directly comes from spatial dispersion. The integro-differential equation is much faster to solve than the convolution equation form, and its effectiveness is confirmed by solving several examples in one-, two-, and three-dimensions. Both the integro-differential equation formulation and the homogenized wire medium parameters are experimentaly confirmed. To do so, several isotropic connected wire medium spheres have been fabricated using a rapid-prototyping machine, and their measured extinction cross sections are compared with simulation results. Wire parameters (period and diameter) are varied to the point where homogenization theory breaks down, which is observed in the measurements. The same process is done for three-dimensional cubical objects made of a uniaxail wire medium, and their measured results are compared with the numerical results based on the new model. The new method is extremely fast compared to brute-force numerical methods such as FDTD, and provides more physical insight (within the limits of homogenization), including the idea of a Debye length for wire media. The limits of homogenization are examined by comparing homogenization results and measurement.
Then, a novel antenna structure is proposed utilizing an Epsilon Near Zero (ENZ) material and the total internal reflection principle. The epsilon near zero material of the antenna is realized by use of a wire medium which acts as an artificial plasma and exhibits
ENZ condition at a frequency called the plasma frequency. This will lead us the question of whether or not the ENZ condition is realizable using spatially dispersive materials (e.g. wire medium). To answer this question, the momentum-dependent permittivity for a broad class of natural materials and wire-mesh metamaterials with spatial dispersion is determined in real-space, and a new characteristic length parameter is defined, in addition to the Debye length, which governs polarization screening. It is found that in the presence
of spatial dispersion the electric displacement does not vanish at the plasma frequency, in general. However, conditions are investigated under which the permittivity can vanish or be strongly diminished, even in the presence of spatial dispersion, implementing an
epsilon-near-zero material. The thesis will end with a chapter about homogenization of graphene. Although it does not completely follow the subject of the thesis, the last chapter shows another example of homogenization applications. In this last chapter, using periodicity and homogenization, a hyperlens is realized for surface plasmons on graphene. In general, such hyperlens cannot be realized without using periodic structures (metamaterials)
Generalized homogenization theory and inverse design of periodic electromagnetic metamaterials
textArtificial metamaterials composed of specifically designed subwavelength unit cells can support an exotic material response and present a promising future for various microwave, terahertz and optical applications. Metamaterials essentially provide the concept to microscopically manipulate light through their subwavelength inclusions, and the overall structure can be macroscopically treated as homogeneous bulk material characterized by a simple set of constitutive parameters, such as permittivity and permeability. In this dissertation, we present a complete homogenization theory applicable to one-, two- and three-dimensional metamaterials composed of nonconnected subwavelength elements. The homogenization theory provides not only deep insights to electromagnetic wave propagation among metamaterials, but also allows developing a useful and efficient analysis method for engineering metamaterials. We begin the work by proposing a general retrieval procedure to characterize arbitrary subwavelength elements in terms of a polarizability tensor. Based on this system, we may start the macroscopic analysis of metamaterials by analyzing the scattering properties of their microscopic building blocks. For one-dimensional linear arrays, we present the dispersion relations for single and parallel linear chains and study their potential use as sub-diffractive waveguides and leaky-wave antennas. For two-dimensional arrays, we interpret the metasurfaces as homogeneous surfaces and characterize their properties by a complete six-by-six tensorial effective surface susceptibility. This model also offers the possibility to derive analytical transmission and reflection coefficients for metasurfaces composed of arbitrary nonconnected inclusions with TE and TM mutual coupling. For three-dimensional metamaterials, we present a generalized theory to homogenize arrays by effective tensorial permittivity, permeability and magneto-electric coupling coefficients. This model captures comprehensive anisotropic and bianisotropic properties of metamaterials. Based on this theory, we also modify the conventional retrieval method to extract physically meaningful effective parameters of given metamaterials and fundamentally explain the common non-causality issues associated with parameter retrieval. Finally, we conceptually propose an inverse design procedure for three-dimensional metamaterials that can efficiently determine the geometry of the inclusions required to achieve the anomalous properties, such as double-negative response, in the desired frequency regime.Electrical and Computer Engineerin
Novel Biomimetic Polymeric Nanoconjugates as Drug Delivery Carriers for Poorly Soluble Drugs
Active Pharmaceutical Ingredients with poor solubility have presented significant difficulties in drug product design and development including slow and ineffective absorption leading to inadequate and variable bioavailability. Therefore it has become increasingly desirable to overcome the low aqueous solubility of drug candidates and develop more novel and innovative formulation approaches to increase the dissolution rate of the poorly soluble drugs. This work focuses on the formulation of novel amorphous ibuprofen-polymer nanoconjugates based on the polymer-drug complexation in order to improve its physical and dissolution characteristics without the use of toxic organic solvents. Plain and ibuprofen-loaded binary and ternary nanoconjugates were prepared using four modified co-precipitation techniques including melt solubilization; alkaline solubilization; surfactant solubilization and hydrotropic complexation techniques. A remarkably high loading capacity was achieved ranging from 89.05 to 99.49% across the four techniques and polymer-polymer ratio of 50:50 was found to be most efficient. All the four techniques reduced the size of ibuprofen (2.87 µm) significantly in the presence of 2.0 x10-3 mM of Diethylaminoethyl Dextran (DEAE-Dextran) in the order melt solubilization (203.25 nm) > alkaline solubilization (185.68 nm) > surfactant (Tween 80) solubilization (122.17 nm) > hydrotropic complexation (77.92 nm). 5.0 x 10-4 mM of chitosan also reduced the size of ibuprofen from 2872.12 to 10.70 nm (268-fold reduction). The FTIR spectroscopic analysis revealed electrostatic, hydrophobic and hydrogen bonding interaction between solubilized ibuprofen and the cationic polymers (DEAE-Dextran and chitosan) to form a new product (an amide). Polymer-polymer complexation also occurred between DEAE-Dextran and gellan as well as chitosan and gellan to a different extent depending on the mixing ratios. 1H and 13C NMR analysis confirmed the conjugation between ibuprofen and each of the cationic polymers as well as the formation of a new amide product. DSC thermal analysis showed that the nanoconjugates exhibited new broad and diffuse peaks confirming that they did exist in amorphous state as multiple complexes. The TGA thermograms of the binary nanoconjugates exhibited one step degradation profile compared with the physical mixture which exhibited two steps. However the ternary nanoconjugates exhibited two steps degradation profile confirming the formation of multiple complexes. Marked enhancement of drug release was achieved by the four techniques compared with the ibuprofen control. All the DG (DEAE-Dextran - Gellan) complexes exhibited a higher release profile than ibuprofen control. Fickian and non-Fickian anomalous mechanisms were deduced for the drug release of ibuprofen from the binary conjugates. The ternary nanoconjugates exhibited non-Fickian (anomalous) diffusion, Fickian diffusion and Super Case II transport release mechanisms. The ternary nanoconjugate hydrogels exhibited complete release (100%) within 48 h. The lowest concentration of DEAE-Dextran, Gellan – Ibuprofen – DEAE-Dextran (GIbDD) 2:0.125, increased the release of ibuprofen by 13.4% however higher concentrations of DEAE-Dextran decreased the release profile steadily. It was concluded that DEAE-Dextran has potentials in the formulation of modified (extended) release of ibuprofen. The most prominent mechanism of release of ibuprofen from the nanoconjugate hydrogel was Super Case II transport. SEM and AFM micrographs of the drug loaded composite pharmaceutical films exhibited concentric spheres with two and three layers for the binary and ternary films respectively. This supports the evidence of internalization of ibuprofen by the polyelectrolyte complex. The FTIR and DSC results confirmed electrostatic and hydrophobic interactions between ibuprofen and DEAE-Dextran as well as between gellan and DEAE-Dextran. Thermal analysis revealed that plain bilayer films were thermally more stable than composite films. The addition of ibuprofen significantly increased (p < 0.05, n = 4) the swelling ratio of the films compared with films without the drug. The drug loaded bilayer films exhibited Fickian diffusion mechanism while the dominating mechanism for composite films was anomalous (Non-Fickian) transport. From the foregoing, it was evident that ibuprofen-polymer nanoconjugate present a novel tool for the delivery of ibuprofen with potential application for transdermal delivery
2008 Index IEEE Transactions on Control Systems Technology Vol. 16
This index covers all technical items - papers, correspondence, reviews, etc. - that appeared in this periodical during the year, and items from previous years that were commented upon or corrected in this year. Departments and other items may also be covered if they have been judged to have archival value. The Author Index contains the primary entry for each item, listed under the first author\u27s name. The primary entry includes the coauthors\u27 names, the title of the paper or other item, and its location, specified by the publication abbreviation, year, month, and inclusive pagination. The Subject Index contains entries describing the item under all appropriate subject headings, plus the first author\u27s name, the publication abbreviation, month, and year, and inclusive pages. Note that the item title is found only under the primary entry in the Author Index
The Buffered Block Forward Backward technique for solving electromagnetic wave scattering problems
This work focuses on efficient numerical techniques for solving electromagnetic wave
scattering problems. The research is focused on three main areas: scattering from perfect
electric conductors, 2D dielectric scatterers and 3D dielectric scattering objects. The
problem of fields scattered from perfect electric conductors is formulated using the Electric
Field Integral Equation. The Coupled Field Integral Equation is used when a 2D homogeneous
dielectric object is considered. The Combined Field Integral Equation describes the
problem of scattering from 3D homogeneous dielectric objects. Discretising the Integral
Equation Formulation using the Method of Moments creates the matrix equation that is
to be solved. Due to the large number of discretisations necessary the resulting matrices
are of significant size and therefore the matrix equations cannot be solved by direct inversion
and iterative methods are employed instead. Various iterative techniques for solving
the matrix equation are presented including stationary methods such as the ”forwardbackward”
technique, as well its matrix-block version. A novel iterative solver referred to
as Buffered Block Forward Backward (BBFB) method is then described and investigated.
It is shown that the incorporation of buffer regions dampens spurious diffraction effects
and increases the computational efficiency of the algorithm. The BBFB is applied to both
perfect electric conductors and homogeneous dielectric objects. The convergence of the
BBFB method is compared to that of other techniques and it is shown that, depending on
the grouping and buffering used, it can be more effective than classical methods based on
Krylov subspaces for example. A possible application of the BBFB, namely the design of
2D dielectric photonic band-gap TeraHertz waveguides is investigated.
i
2009 Index IEEE Antennas and Wireless Propagation Letters Vol. 8
This index covers all technical items - papers, correspondence, reviews, etc. - that appeared in this periodical during the year, and items from previous years that were commented upon or corrected in this year. Departments and other items may also be covered if they have been judged to have archival value. The Author Index contains the primary entry for each item, listed under the first author\u27s name. The primary entry includes the coauthors\u27 names, the title of the paper or other item, and its location, specified by the publication abbreviation, year, month, and inclusive pagination. The Subject Index contains entries describing the item under all appropriate subject headings, plus the first author\u27s name, the publication abbreviation, month, and year, and inclusive pages. Note that the item title is found only under the primary entry in the Author Index
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