Business Sphere, Vol. 20, no.1

Wind power is the fastest growing source of energy in the nation. New installations have expanded total U.S. generating capacity by 45 percent and injected over $9 billion in new investments into the economy in 2007. These new wind projects accounted for about 30 percent of the entire new power-producing capacity added nationally in 2007. According to our figures at the American Wind Energy Association, installed wind power capacity in the U.S. is now over 16,800 megawatts, and the future looks bright. With every wind turbine that goes up, America’s dependence on fossil fuels for power generation goes down. Wind energy represents a tremendous opportunity to use a non-polluting, inexhaustible source to meet our electric power needs.

Business Sphere, Vol. 19, no.1

Ethanol, the clean-burning, high octane fuel distilled from Iowa’s corn fields, has the potential to free the U.S. from its foreign oil dependence. Transforming corn into ethanol, however, takes energy, usually in the form of natural gas or coal. Ames-based Frontline BioEnergy is developing biomass-to-energy conversion methods that reduce an ethanol plant’s consumption of fossil fuels, making ethanol an even greener product. As Iowa’s ethanol industry continues to grow, developing energy from biomass could result in huge savings for the state’s production facilities.

Business Sphere, Vol. 18, no.1

Information technology is a strong and important sector of the Iowa economy employing 30,000 Iowans at more than 2,000 companies, according to a new analysis from Battelle Institute consultants. The strength of Iowa’s IT industry is based in the service-segment. Internet and data services, communications network services, and software and computer services constitute 81 percent of all IT employment. Slightly ahead of U.S. trends, these service sectors compose the backbone of Iowa’s IT industry,

Business Sphere, Vol. 21, no.1

These are exciting days in Iowa and the Upper Midwest—the preferred location for developing the green economy and the renewable energy industry. Forward looking policies of Governor Chet Culver, who has set a goal of making our state energy independent, and a ready response to new opportunities are moving Iowa forward in the vanguard of energy transformation. The adoption and consumption of alternative energy will continue to increase. We have succeeded where others are just beginning because we have the grain and crop residues that have made Iowa first in biofuels, sustained winds to get more of our electricity from wind than any other state, and research universities that are hotbeds of renewable energy innovation.

Business Sphere, Special Issue

Food products are a specialization, an industry of excellence, and thelargest sector of manufacturing employment in the state of Iowa. All ofthe top five food companies have operations in Iowa. According to Harris Info Source, manufacturing of foods and ingredients in Iowa employs 58,826 people at 775 plants. Processing and value adding enterprises are fed by nation-leading agriculture. Iowa is the top producer of corn, soybeans, hogs and eggs in the United States.

Energy and structure of dilute hard- and soft-sphere gases

The energy and structure of dilute hard- and soft-sphere Bose gases are systematically studied in the framework of several many-body approaches, such as the variational correlated theory, the Bogoliubov model, and the uniform limit approximation, valid in the weak-interaction regime. When possible, the results are compared with the exact diffusion Monte Carlo ones. Jastrow-type correlation provides a good description of the systems, both hard- and soft-spheres, if the hypernetted chain energy functional is freely minimized and the resulting Euler equation is solved. The study of the soft-sphere potentials confirms the appearance of a dependence of the energy on the shape of the potential at gas paremeter values of x~0.001. For quantities other than the energy, such as the radial distribution functions and the momentum distributions, the dependence appears at any value of x. The occurrence of a maximum in the radial distribution function, in the momentum distribution, and in the excitation spectrum is a natural effect of the correlations when x increases. The asymptotic behaviors of the functions characterizing the structure of the systems are also investigated. The uniform limit approach is very easy to implement and provides a good description of the soft-sphere gas. Its reliability improves when the interaction weakens.

Hollow sphere as a detector of gravitational radiation

The most important features of the proposed spherical gravitational wave detectors are closely linked with their symmetry. Hollow spheres share this property with solid ones, considered in the literature so far, and constitute an interesting alternative for the realization of an omnidirectional gravitational wave detector. In this paper we address the problem of how a hollow elastic sphere interacts with an incoming gravitational wave and find an analytical solution for its normal mode spectrum and response, as well as for its energy absorption cross sections. It appears that this shape can be designed having relatively low resonance frequencies (~ 200 Hz) yet keeping a large cross section, so its frequency range overlaps with the projected large interferometers. We also apply the obtained results to discuss the performance of a hollow sphere as a detector for a variety of gravitational wave signals.

Thermal and back-action noises in dual-sphere gravitational-wave detectors

We study the sensitivity limits of a broadband gravitational-wave detector based on dual resonators such as nested spheres. We determine both the thermal and back-action noises when the resonators displacements are read out with an optomechanical sensor. We analyze the contributions of all mechanical modes, using a new method to deal with the force-displacement transfer functions in the intermediate frequency domain between the two gravitational-wave sensitive modes associated with each resonator. This method gives an accurate estimate of the mechanical response, together with an evaluation of the estimate error. We show that very high sensitivities can be reached on a wide frequency band for realistic parameters in the case of a dual-sphere detector.

Wideband dual sphere detector of gravitational waves

We present the concept of a sensitive and broadband resonant mass gravitational wave detector. A massive sphere is suspended inside a second hollow one. Short, high-finesse Fabry-Perot optical cavities read out the differential displacements of the two spheres as their quadrupole modes are excited. At cryogenic temperatures, one approaches the standard quantum limit for broadband operation with reasonable choices for the cavity finesses and the intracavity light power. A molybdenum detector, of overall size of 2 m, would reach spectral strain sensitivities of 2x10-23Hz-1/2 between 1000 and 3000 Hz.

Local size segregation in polydisperse hard sphere fluids

The structure of polydisperse hard sphere fluids, in the presence of a wall, is studied by the Rosenfeld density functional theory. Within this approach, the local excess free energy depends on only four combinations of the full set of density fields. The case of continuous polydispersity thereby becomes tractable. We predict, generically, an oscillatory size segregation close to the wall, and connect this, by a perturbation theory for narrow distributions, with the reversible work for changing the size of one particle in a monodisperse reference fluid.

Equidistribution of Fekete Points on the Sphere

Fekete points are the points that maximize a Vandermonde-type determinant that appears in the polynomial Lagrange interpolation formula. They are well suited points for interpolation formulas and numerical integration. We prove the asymptotic equidistribution of Fekete points in the sphere. The way we proceed is by showing their connection to other arrays of points, the so-called Marcinkiewicz-Zygmund arrays and interpolating arrays, that have been studied recently.

Equidistribution of Fekete Points on the Sphere

Fekete points are the points that maximize a Vandermonde-type determinant that appears in the polynomial Lagrange interpolation formula. They are well suited points for interpolation formulas and numerical integration. We prove the asymptotic equidistribution of Fekete points in the sphere. The way we proceed is by showing their connection to other arrays of points, the so-called Marcinkiewicz-Zygmund arrays and interpolating arrays, that have been studied recently.

Sparse image reconstruction on the sphere: implications of a new sampling theorem.

We study the impact of sampling theorems on the fidelity of sparse image reconstruction on the sphere. We discuss how a reduction in the number of samples required to represent all information content of a band-limited signal acts to improve the fidelity of sparse image reconstruction, through both the dimensionality and sparsity of signals. To demonstrate this result, we consider a simple inpainting problem on the sphere and consider images sparse in the magnitude of their gradient. We develop a framework for total variation inpainting on the sphere, including fast methods to render the inpainting problem computationally feasible at high resolution. Recently a new sampling theorem on the sphere was developed, reducing the required number of samples by a factor of two for equiangular sampling schemes. Through numerical simulations, we verify the enhanced fidelity of sparse image reconstruction due to the more efficient sampling of the sphere provided by the new sampling theorem.