As technological advances occur, many conventional materials are incapable of providing the unique multi-functional characteristics demanded thus driving an accelerated focus to create new material systems such as carbon and graphite foams. The improvement of their mechanical stiffness and strength, and tailoring of thermal and electrical conductivities are two areas of multi-functionality with active interest and investment by researchers. The present research focuses on developing models to facilitate and assess multi-functional carbon foams in an effort to expand knowledge. The foundation of the models relies on a unique approach to finite element meshing which captures the morphology of carbon foams. The developed models also include ligament anisotropy and coatings to provide comprehensive information to guide processing researchers in their pursuit of tailorable performance. Several illustrations are undertaken at multiple scales to explore the response of multi-functional carbon foams under coupled field environments providing valuable insight for design engineers in emerging technologies. The illustrations highlight the importance of individual moduli in the anisotropic stiffness matrix as well as the impact of common processing defects when tailoring the bulk stiffness. Furthermore, complete coating coverage and quality interface conditions are critical when utilizing copper to improve thermal and electrical conductivity of carbon foams.

An exogenous contrast agent has been developed to enhance the contrast achievable in Thermoacoustic Tomography (TAT). TAT utilizes the penetration depth of microwave energy while producing high resolution images through acoustic waves. A sample irradiated by a microwave source expands due to thermoelastic expansion. The acoustic wave created by this expansion is recorded by an ultrasonic transducer. The water content in biological samples poses an obstacle, as it is the primary absorber of microwave radiation. The addition of an exogenous contrast agent improves image quality by more effectively converting microwave energy to heat. The use of iron oxide nanoparticles in MRI applications has been explored but super paramagnetic iron oxide nanoparticles (SPION) have benefits in microwave applications, as well. Through ferromagnetic resonance, SPION samples more effectively convert microwave energy into heat. This transduction to heat creates significantly larger thermoacoustic waves than water, alone. Characterization of the SPION samples is executed through TAT, TEM, XPS, EDS, and a vector network analyzer with a dielectric probe kit. Onedimensional and phantom model imaging with an iron oxide nanoparticle contrast agent provide a two-fold improvement in contrast at current system configurations. Further enhancement is possible through adjustments to the nanoparticles and TAT system.

The spherical Radon transform (SRT) integrates a function over the set of all spheres with a given set of centers. Such transforms play an important role in some newly developing types of tomography as well as in several areas of mathematics including approximation theory, integral geometry, inverse problems for PDEs, etc. In Chapter I we give a brief description of thermoacoustic tomography (TAT or TCT) and introduce the SRT. In Chapter II we consider the injectivity problem for SRT. A major breakthrough in the 2D case was made several years ago by M. Agranovsky and E. T. Quinto. Their techniques involved microlocal analysis and known geometric properties of zeros of harmonic polynomials in the plane. Since then there has been an active search for alternative methods, which would be less restrictive in more general situations. We provide some new results obtained by PDE techniques that essentially involve only the finite speed of propagation and domain dependence for the wave equation. In Chapter III we consider the transform that integrates a function supported in the unit disk on the plane over circles centered at the boundary of this disk. As is common for transforms of the Radon type, its range has an in finite co-dimension in standard function spaces. Range descriptions for such transforms are known to be very important for computed tomography, for instance when dealing with incomplete data, error correction, and other issues. A complete range description for the circular Radon transform is obtained. In Chapter IV we investigate implementation of the recently discovered exact backprojection type inversion formulas for the case of spherical acquisition in 3D and approximate inversion formulas in 2D. A numerical simulation of the data acquisition with subsequent reconstructions is made for the Defrise phantom as well as for some other phantoms. Both full and partial scan situations are considered.

The purpose of the inverse-transport problems that we address is to reconstruct the material distribution inside an unknown object undergoing a nondestructive evaluation. We assume that the object is subjected to incident beams of photons or particles and that the exiting radiation is measured with detectors around the periphery of the object. In the present work we focus on problems in which radiation can undergo significant scattering within the optically thick object. We develop a set of reconstruction strategies to infer the material distribution inside such objects. When we apply these strategies to a set of neutron-tomography test problems we find that the results are substantially superior to those obtained by previous methods. We first demonstrate that traditional analytic methods such as filtered back projection (FBP) methods do not work for very thick, highly scattering problems. Then we explore deterministic optimization processes, using the nonlinear conjugate gradient iterative updating scheme to minimize an objective functional that characterizes the misfits between forward predicted measurements and actual detector readings. We find that while these methods provide more information than the analytic methods such as FBP, they do not provide sufficiently accurate solutions of problems in which the radiation undergoes significant scattering. We proceed to present some advances in inverse transport methods. Our strategies offer several advantages over previous reconstruction methods. First, our optimization procedure involves the systematic use of both deterministic and stochastic methods, using the strengths of each to mitigate the weaknesses of the other. Another key feature is that we treat the material (a discrete quantity) as the unknown, as opposed to individual cross sections (continuous variables). This changes the mathematical nature of the problem and greatly reduces the dimension of the search space. In our hierarchical approach we begin by learning some characteristics of the object from relatively inexpensive calculations, and then use knowledge from such calculations to guide more sophisticated calculations. A key feature of our strategy is dimension-reduction schemes that we have designed to take advantage of known and postulated constraints. We illustrate our approach using some neutron-tomography model problems that are several mean-free paths thick and contain highly scattering materials. In these problems we impose reasonable constraints, similar to those that in practice would come from prior information or engineering judgment. Our results, which identify exactly the correct materials and provide very accurate estimates of their locations and masses, are substantially better than those of deterministic minimization methods and dramatically more efficient than those of typical stochastic methods.

Many scientific studies have been conducted on the Cretaceous-Paleogene boundary (KTB) in the Gulf coast region and, in particular, the Brazos River section in Falls County, Texas. Despite this, there remains much to be learned about the KTB and its depositional environment. Study of the KTB has been multidisciplinary, primarily in the fields of sedimentology and paleontology. Some researchers in these disciplines have questioned the consensus view of the placement of the KTB and subsequent interpretation of the timing of depositional events and mass extinction events. Geophysical methods have potential to provide additional understanding of the physical properties of the KTB. To date, study of the KTB has relied on point data and borehole information to create cross sections of the complex. Seismic refraction surveys can provide spatially continuous information on susburface horizons located adjacent to the KTB. In this study, seismic first-arrival traveltimes are processed with a tomographic modeling program to map the top of the hummocky cross-bedded sandstone (HCS), which is a key indicator of the deposition environment at the time of KTB boundary complex placement. The survey area is located at Cottonmouth Creek, a tributary of the Brazos River. Three seismic lines were surveyed, one across Cottonmouth Creek, and two parallel to the creek on either side. The data from the two parallel lines were processed using the 2-D seismic refraction tomography algorithm of Zelt and Smith. The reconstructed depth to the HCS in the survey area is approximately 6 m, with layer seismic velocities of 364, 1800, and 2200 m/s, respectively. Seismic tomography successfully mapped the HCS layer and reveals approximately 1 m amplitude undulations vertically and undulations on the order of several m horizontally. These variations are consistent with exposed surfaces of the HCS in the creek bed. Seismic refraction has been utilized successfully herein to map a key buried indicator, namely the top of the HCS layer, associated with the KTB complex. A detailed 3-D seismic refraction survey at this site is recommended to generate a high-resolution 2-D terrain map of the top of the HCS layer.

Because the information advance in technology, the social welfare gradually increase, creates the government expenditure to increase, the finance is difficult. In 2000, the government had announced private participation public construction law, positively impelling the private organization participation public construction, and used the resources, the technology, the efficiency to lighten the government serious financial burden, and created the vigorous folk commercial vitality. The high tech health center is medical industry extending, and is one kind of important tool to impel the preventive medicine. Although it has used the massive medicine theory and the technology, it has not involved the treatment behavior and the medicine prescription. However, it still located in the medical scope, must controlled by the government health organization. At present, the health center has two kinds of managements, one is attached in the hospital, and the other picks the independent form. This case belongs to former. The rehabilitation, operation and transfer on the positron emission tomography center of Kaohsiung Veterans General Hospital bases on the law of private participation public construction. The rehabilitation and operation periods amounts to 11 years. Kaohsiung Veterans General Hospital should suggest that specialized organization or by itself to handle the feasibility and earlier scheme before R.O.T. proposals. If the earlier scheme checks to pass, Veterans General Hospital has to proceed following system of preposition and commercial attraction. Bases on the market analysis, we find that five hospitals have been established positron emission tomography equipment in the area of Kaohsiung and Pingtung. At present, the market supplies increase much, and potential market demands develop slowly. Under these factors disturbance about global budget payment system or hospital excellent project, it inevitably will have the influence on the investment will of industry. Moreover, the condition of industrial and marketable environment, like the supply source of positron medicine FDG, the degree of market development, the medical standard of teams, will be the essential topics. From financial assessment, we find that the private organization participates in the business of the positron emission tomography center of Kaohsiung Veterans General Hospital by the R.O.T. form, Kaohsiung Veterans General Hospital could gain considerable premium, the management efficiency, the higher reputation, and provide the precise health examines. The franchised corporation also could gain required return. The bank financing gets safety. Therefore, the contract about the private participation in the positron emission tomography center of Kaohsiung Veterans General Hospital resembles reasonable. By the sensitivity analysis, we find that the key factors in turn as follows: Revenue, operating cost, operating expenses, initial investment, and financing interest rate. Revenue at their own expense affects this case much higher than customers. Health insurance revenue is regulated by the global budget payment system, we find that pay point is more sensitive than pay value per point, and the franchised corporation must spend more resources to develop the market about non-insurance revenue. The R.O.T. on the positron emission tomography center of Kaohsiung Veterans General Hospital belongs to successful case, its main points including: First, we can use R.O.T. business model to break these constraint of laws and regulations, effectively promote the management elasticity and the overall achievements. Second, the party of the public in the plan and operating stage assigns professionals and continues to participate in the coordination and the management, which is helpful to the project implemented. Third, with the lower premium threshold and the higher surveillance standard, this is helpful to the quality control. Finally, by financial assessment, we can control risk management in advance.

No description available.

Photoacoustic computed tomography (PAT) has great potential for application in the biomedical field. It best combines the high contrast of electromagnetic absorption and the high resolution of ultrasonic waves in biological tissues. In Chapter II, we present time-domain reconstruction algorithms for PAT. First, a formal reconstruction formula for arbitrary measurement geometry is presented. Then, we derive a universal and exact back-projection formula for three commonly used measurement geometries, including spherical, planar and cylindrical surfaces. We also find this back-projection formula can be extended to arbitrary measurement surfaces under certain conditions. A method to implement the back-projection algorithm is also given. Finally, numerical simulations are performed to demonstrate the performance of the back-projection formula. In Chapter III, we present a theoretical analysis of the spatial resolution of PAT for the first time. The three common geometries as well as other general cases are investigated. The point-spread functions (PSF's) related to the bandwidth and the sensing aperture of the detector are derived. Both the full-width-at-half-maximum of the PSF and the Rayleigh criterion are used to define the spatial resolution. In Chapter IV, we first present a theoretical analysis of spatial sampling in the PA measurement for three common geometries. Then, based on the sampling theorem, we propose an optimal sampling strategy for the PA measurement. Optimal spatial sampling periods for different geometries are derived. The aliasing effects on the PAT images are also discussed. Finally, we conduct numerical simulations to test the proposed optimal sampling strategy and also to demonstrate how the aliasing related to spatially discrete sampling affects the PAT image. In Chapter V, we first describe a prototype of the RF-induced PAT imaging system that we have built. Then, we present experiments of phantom samples as well as a preliminary study of breast imaging for cancer detection.

The Philippine Sea Plate has been surrounded by subduction zones throughout Cenozoic time due to the convergence of the Eurasian, Pacific and Indian-Australian plates. Existing Philippine Sea Plate reconstructions have been made based primarily on magnetic lineations produced by seafloor spreading, rock magnetism and geology of the Philippine Sea Plate. This dissertation employs seismic tomography model to constraint the reconstruction of the Philippine Sea Plate. Recent seismic tomography studies show the distribution of high velocity anomalies in the mantle of the Western Pacific, and that they represent subducted slabs. Using these recent tomography data, distribution maps of subducted slabs in the mantle beneath and surrounding the Philippine Sea Plate have been constructed which show that the mantle anomalies can be related to the various subduction zones bounding the Philippine Sea Plate. The high velocity mantle anomalies are clearly coincident with Wadati-Benioff zones in the upper mantle. The lower mantle anomalies, although distributed in the “transition zone” (500-1000 km) as stagnant slabs in some cases, can clearly be mapped as continuations of upper mantle subduction zones. Reconstructing the subduction of the slabs now in the mantle best fits Philippine Sea Plate reconstructions that involve the minimal or simplest rotations. Northward movement of the Philippine Sea Plate, WNW subduction of the Pacific Plate since Eocene time (~50 Ma), and northward subduction of the Indian/Australian Plate along Indonesia best explain the subducted slab mantle anomalies. The origin of the eastern plate boundary was a transform zone that evolved into a subduction zone a few million years before the Pacific Plate changed its movement. In addition, the initiation of this subduction zone might possibly be one of the triggers of the Pacific Plate motion changes. The 90 degree rotation of the Philippine Sea Plate including southward plate subduction at its northern boundary proposed in the reconstruction by Hall (2002) is not supported by seismic tomography evidence for slab distribution in the mantle beneath the Philippine Sea region. A hypothesis of minimal rotation of the Philippine Sea Plate, supported by the seismic tomography, guides the reconstruction model presented.

In this dissertation, we first derive exact reconstuction algorithms for thermoacoustic tomography (TAT) and broadband diffraction tomography (a linearized inverse scattering problem) using derived time-reversal formulas. Then we focus on some important practical problems of TAT including the limited-view problem, the effects of acoustic heterogeneity, and fast reconstruction algorithms. In Chapter II, we propose time-reversal methods and apply them to tomography with diffrating sources. We first develop time-domain methods to time-reverse a transient scalar wave using only the field measured on an arbitrary closed surface enclosing the initial sources. Under certain conditions, a time-reversed field can be obtained with the delay-and-sum algorithm (backprojection to spheres) used in synthetic aperture imaging.Consequently, the physicalmeaningandthe validconditions of this widely used algorithm are revealed quantitatively for the first time from basic physics. Then exact reconstruction for TAT and broadband diffraction tomography is proposed by time-reversing the measured field back to the time when each source or secondary source is excited. The theoretical conclusions are supported by a numerical simulation ofthree-dimensional diffraction tomography.The extension ofour time-reversal methods to the case using Green function in a heterogeneous medium is also discussed. In Chapter III, the limited-view problem is studied for TAT. We define a "detection region," within which all points have sufficient detection views. It is explained analytically and shown numerically that the boundaries of any object inside this region can be recovered stably.Otherwise some sharp details become blurred.One can identify in advance the parts of the boundaries that will be affected if the detection view is insufficient. Computations are conducted for both numerically simulated and experimental data. The reconstructions confirm our theoretical predictions. In Chapter IV, the effects of wavefront distortions induced by acoustic heterogeneities in breast TAT are studied. Amplitude distortions are shown to be insignificant for different scales of acoustic heterogeneities. After that we consider the effects of phase distortions (errors in time-of-flight) in our numerical studies. The numerical results on the spreads of point sources and boundaries caused by the phase distortions are in good agreement with the proposed formula. We also demonstrate that the blurring of images can be compensated for by using the distribution of acoustic velocityin the tissues in the reconstructions. In Chapter V, we discuss exact and fast Fourier-domain reconstruction algorithms for TAT in planar and circular configurations.