Electrical and Computer Engineering Commons^™

Production And Propagation Of Hermite–Sinusoidal-Gaussian Laser Beams, Lee W. Casperson, Anthony A. Tovar

Electrical and Computer Engineering Faculty Publications and Presentations

Hermite–sinusoidal-Gaussian solutions to the wave equation have recently been obtained. In the limit of large Hermite–Gaussian beam size, the sinusoidal factors are dominant and reduce to the conventional modes of a rectangular waveguide. In the opposite limit the beams reduce to the familiar Hermite–Gaussian form. The propagation of these beams is examined in detail, and resonators are designed that will produce them. As an example, a special resonator is designed to produce hyperbolic-sine-Gaussian beams. This ring resonator contains a hyperbolic-cosine-Gaussian apodized aperture. The beam mode has finite energy and is perturbation stable.

An Efficient And Effective Approach To Column-Based Input/Output Encoding In Functional Decomposition, Michael Burns, Marek Perkowski, Stanislaw Grygiel, Lech Jozwiak

Electrical and Computer Engineering Faculty Publications and Presentations

Encoding in Curtis-style decompositions is the process of assigning codes to groups of compatible columns (or cubes) so that the binary logic descriptions of the predecessor and successor sub-functions can be created for further decomposition. In doing so, the sub-functions created are functionally equivalent to the set of care values specified in the original function. In this paper an input/output encoding algorithm DC_ENC is presented that is designed to achieve the simplest total complexity of the predecessor and successor sub-functions, and to increase the total number of don't cares for their further utilization in subsequent decomposition steps of these sub-functions.

Photographic Studies Of Laser-Induced Bubble Formation In Absorbing Liquids And On Submerged Targets: Implications For Drug Delivery With Microsecond Laser Pulses, Hanqun Shangguan, Lee W. Casperson, Dennis L. Paisley, Scott A. Prahl

Electrical and Computer Engineering Faculty Publications and Presentations

Pulsed laser ablation of blood clots in a fluid-filled blood vessel is accompanied by an explosive evaporation process. The resulting vapor bubble rapidly expands and collapses to disrupt the thrombus (blood clot). The hydrodynamic pressures following the bubble expansion and collapse can also be used as a driving force to deliver clot-dissolving agents into thrombus for enhancement of laser thrombolysis. Thus, the laser-induced bubble formation plays an important role in the thrombus removal process. We investigate the effects of boundary configurations and materials on bubble formation with time-resolved flash photography and high-speed photography. Potential applications in drug delivery using microsecond …

Hermite–Sinusoidal-Gaussian Beams In Complex Optical Systems, Lee W. Casperson, Anthony A. Tovar

Electrical and Computer Engineering Faculty Publications and Presentations

Sinusoidal-Gaussian beams have recently been obtained as exact solutions of the paraxial wave equation for propagation in complex optical systems. Another useful set of beam solutions for Cartesian coordinate systems is based on Hermite–Gaussian functions. A generalization of these solution sets is developed here. The new solutions are referred to as Hermite–sinusoidal-Gaussian beams, because they are in the form of a product of Hermite-polynomial functions of either complex or real argument, sinusoidal functions of complex argument, and Gaussian functions of complex argument. These beams are valid for propagation through systems that can be represented in terms of complex beam matrices, …

Tooth Contact Sensing Apparatus And Method, John D. Summer, Edmund Pierzchala, Marek Perkowski

Electrical and Computer Engineering Faculty Publications and Presentations

An apparatus and method for sensing tooth contact includes at least one, and more typically plural, vibration sensors which are coupled to the non-biting surfaces of teeth. These sensors produce output signals when the associated teeth contact one another during jaw closing, the output signals being processed to provide information concerning tooth contact. For example, information concerning the ?rst tooth which contacts may be determined, the sequence of contact by various teeth may be determined, as well as the time between contact of the various teeth. Other information concerning tooth contact may also be determined and dis played in a …

Field Solutions For Bidirectional High-Gain Laser Amplifiers And Oscillators, Lee W. Casperson, Mohammad Azadeh

Electrical and Computer Engineering Faculty Publications and Presentations

General analytical solutions are obtained for the amplitude, phase, and intensity of the electromagnetic waves in bidirectional homogeneously broadened high-gain laser amplifiers and oscillators. These solutions are important as increasingly high-gain lasers are being employed in practical systems. Expressions are derived relating the output power to the input, including the effects of arbitrary mirror reflectivities and frequency detunings from the line center. For negligible reflectivities, these regenerative amplifier results reduce to earlier expressions for single-pass high-gain amplifiers. Multivalued outputs also occur, and in the limit of low gain per pass the results are consistent with earlier studies of single-frequency laser …

Static Compaction Of Test Sequences For Synchronous Sequential Circuits, Lijie Qi

Dissertations and Theses

Today, VLSI design has progressed to a stage where it needs to incorporate methods of testing circuits. The Automatic Test Pattern Generation (ATPG) is a very attractive method and feasible on almost any combinational and sequential circuit.

Currently available automatic test pattern generators (ATPGs) generate test sets that may be excessively long. Because a cost of testing depends on the test length. compaction techniques have been used to reduce that length. The motivation for studying test compaction is twofold. Firstly, by reducing the test sequence length. the memory requirements during the test application and the test application time are reduced. …

Exact Graph Coloring For Functional Decomposition: Do We Need It?, Marek Perkowski, Rahul Malvi, Lech Jozwiak

Electrical and Computer Engineering Faculty Publications and Presentations

Finding column multiplicity index is one of important component processes in functional decomposition of discrete functions for circuit design and especially Data Mining applications. How important it is to solve this problem exactly from the point of view of the minimum complexity of decomposition, and related to it error in Machine Learning type of applications? In order to investigate this problem we wrote two graph coloring programs: exact program EXOC and approximate program DOM (DOM cab give provably exact results on some types of graphs). These programs were next incorporated into the multi-valued decomposer of functions and relations NVGUD. Extensive …

Few-Cycle Pulses In Two-Level Media, Lee W. Casperson

Electrical and Computer Engineering Faculty Publications and Presentations

Techniques for producing, measuring, and applying ever shorter electromagnetic pulses are being developed for incorporation in a variety of modern high-speed systems. In many cases these pulses are at most a few cycles in length, and so-called half-cycle electromagnetic pulses are also widely employed. The interaction of such pulses with two-level media is considered here in detail, and these media are basic to many of the absorbing and amplifying configurations of optics and laser studies. Significant delays and distortion of the resulting polarization and population pulses can occur, and nonlinear optical effects are also revealed. The limitations of the parity, …

Multi-Level Programmable Arrays For Sub-Micron Technology Based On Symmetries, Marek Perkowski, Malgorzata Chrzanowska-Jeske, Yang Xu

Electrical and Computer Engineering Faculty Publications and Presentations

Regular layout is a fundamental concept in VLSI design which can have application in custom design for submicron technologies, designing new architectures for fine-grain Field Programmable Gate Arrays (FPGAs) and Electrically Programmable logic Devices (EPLDs), and minimization of logic functions for existing FPGAs. PLAs are well known examples of regular layouts. Lattice diagrams are another type of regular layouts that have been recently introduced for layout-driven logic synthesis. In this paper we extend and combine theses two ideas, by introducing the multi-level PLA-like structures, composed from multi-output (pseudo) symmetrical lattice planes and other planes (multi-input, multi-output regular blocks). The main …

Passive Circuit Modeling Using Ipa510, Hassan Hiwaidi Al-Sheikhly

Dissertations and Theses

Characterizing the high speed interconnect performance of circuit board, integrated circuit packages and multichip module become very important when the clock frequencies in digital and RF systems become larger than 200 MHz. At time scales less than 2 ns distributed approach must be used to measure package parasitics (stray inductance and capacitance) and transmission line effects.

A practical way to measure and model the package parasitics is by utilizing Interconnect Parameter Analyzer (IP A510). The IP A510 uses Time Domain Reflectometry (TDR) technique. The TDR technique is based on sending a waveform to a device under test (DUT) and capturing …

An Approach To Exact Modeling Of The Pwm Switch, Anas N. Al-Rabadi

Dissertations and Theses

Large number of small-signal models of de-to-de power converters exists already. These models usually use two techniques. The first is the averaging technique, such as: volt-second and current-second balance, state space averaging, and the averaged modeling approach. The other technique focuses on the exact modeling approach, such as: the application of time varying systems theory to linearize networks. One of the methodologies to apply the above techniques, is to view the three-terminal systems as a two-port network.

The aim of the work presented in this thesis is to develop a new approach, by the application of the two-port network methodology …

The Design Of Cube Calculus Machine Using Sram-Based Fpga Reconfigurable Hardware Dec’S Perle-1 Board, Qihong Chen

Dissertations and Theses

Presented in this thesis are new approaches to column compatibility checking and column-based input/output encoding for Curtis decompositions of switching functions. These approaches can be used in Curtis-type functional decomposition programs for applications in several scientific disciplines. Examples of applications are: minimization of combinational and sequential logic) mapping of logic functions to programmable logic devices such as CPLDs, MPGAs, and FPGAs, data encryption, data compression, pattern recognition) and image refinement. Presently, Curtis-type functional decomposition programs are used primarily for experimental purposes due to performance, quality, and compatibility issues. However) in the past few years a renewal of interest in the …

Rtl Power Estimation Of Sequential Circuits, Sridhar Muthrasanallur

Dissertations and Theses

Power consumption has become a major concern in the electronic industry in recent years because of the increased demand for portable electronic devices. Part of the problem in power conscious design is accurate power estimation. Power estimation at low-levels of design abstraction is slow since the units of low-levels of design abstraction are transistors or gates. But designers need reliable power estimates early in the design process. Therefore designers need to have tools for fast and accurate power estimation at higher levels of design abstraction such as the Register Transfer Level (RTL).

This thesis introduces a new method for RTL …