Physical Sciences and Mathematics Commons^™

Single-Reflection Film—Substrate Half-Wave Retarders With Nearly Stationary Reflection Properties Over A Wide Range Of Incidence Angles, R. M.A. Azzam, M. Emdadur Rahman Khan

Electrical Engineering Faculty Publications

The complex reflection coefficient for the p polarization of a transparent film on an absorbing or transparent substrate can be made equal to the negative of that for the s polarization, and hence the film—substrate system acts as a half-wave retarder (HWR), by proper selection of film refractive index N₁, film thickness d, and angle of incidence Φ. This condition, which generally holds only at normal incidence, becomes possible at oblique incidence also if N₁ is within a certain range, 1 < N₁ < N̂₁ . For a given substrate and given N₁, …

Complex Reflection Coefficients For The Parallel And Perpendicular Polarizations Of A Film-Substrate System, R. M.A. Azzam, M. Emdadur Rahman Khan

Electrical Engineering Faculty Publications

The complex reflection coefficients R_v(ø,ζ) of a film-substrate system for the parallel (v = p) and perpendicular (v = s) polarizations are examined in detail as functions of the angle of incidence ø(0 ≤ ø ≤ 90°) and the reduced normalized film thickness ζ(0 ≤ ζ < 1). For definiteness, the reflection of light of wavelength λ = 0.6328 µm by the air–SiO₂–Si system is assumed. Families of circles that represent the constant-angle-of-incidence contours, their envelopes, and the associated constant-thickness contours ofR_p and R_s are all presented in the complex plane. Furthermore, the amplitude-reflectance and phase-shift functions, |R_v|(ø,ζ) and argR_v(ø,ζ) …

Subharmonic Generation By Resonant Three‐Wave Interaction Of Deep‐Water Capillary Waves, Partha P. Banerjee, Adrianus Korpel

Electrical and Computer Engineering Faculty Publications

Subharmonic generation has been observed during the propagation of deep‐water capillary waves. The observations are shown to be in agreement with the theory of degenerate resonant noncollinear three‐wave interaction in a nonlinear, dispersive medium.

Effects On Electrolytic Cells Of Magnetic Fields Applied To Single Electrodes, Craig Allen Cousins

Dissertations and Theses

The primary goal of this research was to investigate the effects associated with the application of magnetic fields to single electrodes.

Explicit Determination Of The Complex Refractive Index Of An Absorbing Medium From Reflectance Measurements At And Near Normal Incidence, R. M.A. Azzam

Electrical Engineering Faculty Publications

Measurement of reflectance at normal incidence R and its fractional change ΔR/R caused by a change of the angle of incidence from 0 to a small angle ϕ (ϕ≲ 20°) permits explicit determination of both the refractive index n and extinction coefficient k of an isotropic absorbing medium. The medium of incidence (ambient) is assumed to have a known refractive index (e.g., =1 for vacuum or air), and the incident light is either p or s linearly polarized.

Polarization-Preserving Single-Layer-Coated Beam Displacers And Axicons, R. M.A. Azzam, M. Emdadur Rahman Khan

Electrical Engineering Faculty Publications

A design procedure is described to determine the thicknesses of single-layer coatings of a given dielectric on a given metallic substrate so that any input polarization of light is preserved after two reflections at the same angle of incidence from a parallel-mirror beam displacer or an axicon. This is achieved by equalizing the net complex p and s reflection coefficients (also called the radial and azimuthal eigenvalues of an axicon) after two reflections. The net polarization-independent reflectance (insertion loss) of the device is computed and found to exceed the net minimum parallel reflectance of the uncoated device for incidence above …

Scheme To Polarization-Correct A Waxicon, R. M.A. Azzam

Electrical Engineering Faculty Publications

No abstract provided.

Stationary Property Of Normal-Incidence Reflection From Isotropic Surfaces, R. M.A. Azzam

Electrical Engineering Faculty Publications

The complex reflection coefficients for the parallel (p) and perpendicular (s) polarizations of light that are normally incident upon an isotropic surface are proved to be stationary with respect to small changes of the angle of incidence in the neighborhood of zero. This is true not only for a single interface between isotropic media but also for any one-dimensionally inhomogeneous or multilayer reflecting structure that is stratified in the direction of the surface normal. For incident light of certain intensity, phase, and polarization, the intensity, phase, and polarization of the reflected light all remain stationary with …

Brewster And Pseudo-Brewster Angles Of Uniaxial Crystal Surfaces And Their Use For Determination Of Optical Properties, M. Elshazly-Zaghloul, R. M.A. Azzam

Electrical Engineering Faculty Publications

Brewster and pseudo-Brewster angles are defined for surfaces of transparent and absorbing uniaxial crystals parallel and perpendicular to the optic axis. Two Brewster angles of a transparent uniaxial crystal surface parallel to the optic axis, measured when the optic axis is oriented perpendicular and parallel to the plane of incidence, readily determine the ordinary and extraordinary indices N_o and N_e. N_o and N_e can also be obtained from two Brewster angles measured on a surface perpendicular to the optic axis in contact with two media of different refractive indices. Conditions for the existence of two …

Electro-Optics Applications For Alleviating Emi/Emc/Emp Problems, George H. Baker, Walter H. Hardwick

George H Baker

No abstract provided.

Constant-Psi Constant-Delta Contour Maps: Applications To Ellipsometry And To Reflection-Type Optical Devices, A.-R. M. Zaghloul, R. M.A. Azzam

Electrical Engineering Faculty Publications

Constant-psi constant-delta contour maps in the reduced angle-of-incidence-film-thickness plane that are useful in ellipsometry and in design of reflection-type optical devices are discussed. As a specific example, a contour map is given for the SiO₂-Si film-substrate system at the 6328-Å He-Ne laser wavelength.

Contours Of Constant Principal Angle And Constant Principal Azimuth In The Complex Ε Plane, R. M.A. Azzam

Electrical Engineering Faculty Publications

For light reflection at a planar interface between two homogeneous isotropic media with complex relative dielectric function ε, we show that the constant-principal-angle contours are a family of semicircles, whereas the constantprincipal-azimuth contours are a family of (segments of) hyperbolas in the complex ε plane. We also find the exact envelope curve of both families and hence determine the domain of the ε plane of multiple (three) principal angles that is bougded by the envelope curve and the real axis. A unique and peculiar interface with ε = (5 - j√2)/27 is shown to have three coincident principal angles of …

Explicit Determination Of Thickness Of A Transparent Film On A Transparent Substrate From Angles Of Incidence Of Equal P And S Reflectivities, R. M.A. Azzam

Electrical Engineering Faculty Publications

No abstract provided.

A Critical Study Of Nonlinear Echo Phenomena, Monish Ranjan Chatterjee

Electrical and Computer Engineering Faculty Publications

The present thesis attempts to give a concise and critical account of the evolution of the echo phenomena over the last thirty years. Starting with spin and photon echoes, which were among the earliest to be observed and studied, the thesis explores the experimental findings and the models proposed in connection with the more contemporary echo experiments, viz. those involving electroacoustic or polarization echoes in single and polycrystalline piezoelectric materials and in powders. Although the investigations regarding the various mechanisms of short and long term echo formation are by no means complete, a coherent picture is beginning to emerge as …

A Method Of Modeling Multirate Two-Dimensional Recursive Digital Filters Author, Albert P. Gerheim

Electrical & Computer Engineering Theses & Dissertations

This dissertation presents a method of modeling two dimensional sampled data systems with two sampling rates in each dimension. This methodology is applied to the problem of synthesizing two dimensional velocity filters using one dimensional prototypes and multirate concepts.

The modeling method includes the replacement of scalar z-transforms of signals by vectors of polynomials, and the replacement of scalar z-transforms of impulse responses by matrices of polynomials.

The synthesis of velocity filters is accomplished through the use of coordinate transformations in the z-transform domain which skew the ω₁ -ω₂ axes on the unit bidisc. The filters synthesized using …

Dickey-Lincoln School Lakes Project Economic Analysis Study, New England Division, United States Army Engineer Division, Acres American Incorporated

Dickey-Lincoln School Lakes Project

The purpose of this study was to perform an economic assessment of the Dickey-Lincoln School Lakes Project. This was accomplished by simulating the New England electrical supply system with and without the project and making a comparison of the resultant production costs.

Dickey-Lincoln School Lakes Project At Dickey, Maine : Final Environmental Impact Statement, New England Division, United States Army Engineer Division

Dickey-Lincoln School Lakes Project

The Final Impact Statement is supported by all appendices from all drafts as well as supplementary information provided in Supplements to those Appendices. It comprises three volumes. Volume I is the statement volume. Volume II consists of two parts. Part I contains the comment and response portion of Section 9 for the 1977 Draft EIS. Part II contains comments and responses on the 1978 Revised Draft EIS, in addition to reproductions of the original comment letters received on the Draft Fish and Wildlife Mitigation Report and responses to these comments. Volume III, Part I contains reproductions of the original comment …

Dickey-Lincoln School Lakes Transmission Project: Final Environmental Impact Statement: Appendix L, New England Division, United States Army Corps Of Engineers, United States Department Of Energy

Dickey-Lincoln School Lakes Project

This draft EIS Supplement describes the environmental impacts of updated transmission plans of the Department of Energy (DOE) for the proposed Dickey-Lincoln School Lakes Project. Energy produced by the project is to be integrated into the New England electric system if the project is constructed.

Dickey-Lincoln School Lakes Project At Dickey, Maine : Final Environmental Statement, New England Division, United States Army Engineer Division

Dickey-Lincoln School Lakes Project

This document contains those comments and responses on the Revised Draft Environmental Impact Statement. It is a continuation of Volume II published by the Corps in 1978. In addition, it contains reproductions of those letters of comment received on the March 1980 Draft Fish and Wildlife Mitigation Plan, and the responses to these comments.

Dickey-Lincoln School Lakes Project At Dickey, Maine : Final Environmental Statement, Volume 1-4, U. S. Army Engineer Division, New England

Dickey-Lincoln School Lakes Project

The proposed Dickey-Lincoln School Lakes Project in northern Maine is a multipurpose installation on the St.John River. The combination hydroelectric power and flood control project is located in Aroostook County, Maine, near the Canadian border. The two proposed earth fill dams located at Dickey are 10,200 feet in length with a maximum height of 335 feet. They would impound 7.7 million acre feet of water at a maximum pool elevation 910 feet mean sea level. A second earth filled dam located 11 miles downstream at Lincoln School would serve as a regulatory dam. It would be 2100 feet in lenqth, …

High Resolution Laser Absorption Spectroscopy Of Ozone Near 1129.4 Cm-1, Lawrence N. Majorana

Physics Theses & Dissertations

A Beer's Law experiment was performed with a tunable laser to determine self broadened line shape parameters of one infrared absorption ozone line in the v1 band for ten pressures from 0.26 to 6.29 Torr at 285K. SO₂ line positions were used for wavelength calibration. Line shapes were iteratively fitted to the Voigt function at a Doppler width of 29.54 MHz (HWHM) resulting in values for the integrated line• strength, ( S), of (0.144 +/- 0.007 ) x ·10^-20 cm-1/molecule cm-2, line center frequency, (υ_ο) of 1129.426 cm-1 and the Lorentzian contributions to half width, (α …

The Energy Conservation And Safety Dilemma, Burns E. Hegler

UMR-MEC Conference on Energy / UMR-DNR Conference on Energy

Since the beginning of the energy crisis, efforts to conserve energy often have seemed to be diametrically opposed to the precepts of safety. This is true if conservation is not planned and conducted properly. However, energy and safety can be quite compatible and may work to their mutual advantage if effectively managed.

Superconducting Magnetic Energy Storage: A Cost And Sizing Study, Haur D. Shaw, J. Derald Morgan, Max Darwin Anderson

UMR-MEC Conference on Energy / UMR-DNR Conference on Energy

Two applications for superconducting magnetic energy storage (SMES) devices in power systems are studied. One is for peak shaving, and the other is for load leveling. Consideration is given to placing these devices near load centers to reduce the line losses. For (SMES) cases studied using smaller size devices at several load centers, the line losses are lowered. However, the efficiency of SMES is proportional to its size, and the capitol cost per MWH is much greater for a smaller size SMES unit when compared to a larger SMES unit. Once the location or locations for SMES have been selected, …

Inversion Of The Nonlinear Equations Of Reflection Ellipsometry For Uniaxial Crystals In Symmetrical Orientations, M. Elshazly-Zaghloul, R. M.A. Azzam

Electrical Engineering Faculty Publications

The complex ordinary (N_o) and extraordinary (N_e) refractive indices of an absorbing uniaxial crystal can be determined using reflection ellipsometry. The measurements are taken with the optic axis parallel and perpendicular to the crystal’s surface. The equations obtained are solved without resort to iterative methods; N_o and N_e are determined separately. Sixteen solution sets (N_o, N_e) are obtained and the correct solution can be easily identified. We present an optimum angle of incidence that minimizes the relative errors in N_o and N_e.

Dickey-Lincoln School Lakes Project Environmental Impact Statement: Appendix K: Fish & Wildlife Mitigation Plan & Impacts (Revised), New England Division, United States Army Engineer Division

Dickey-Lincoln School Lakes Project

The proposed plan is comprised of three major segments: terrestrial, fisheries and endangered species. Each segment is essentially a self-contained unit. All costs for the three segments including land acquisition, operation and maintenance and capital equipment, are to be charged to the project and allocated to the project purposes of hydroelectric generation and flood control.

Federal Water Pollution Control Act Section "404" Evaluation For Dickey-Lincoln School Lakes, New England Division, United States Army Engineer Division, United States Army Corps Of Engineers

Dickey-Lincoln School Lakes Project

The purpose of this report is to relate various aspects of the proposed Dickey-Lincoln School Lakes Hydroelectric Project to appropriate considerations defined by Section 404 of the Federal Water Pollution Control Act of 1972.

Dickey-Lincoln School Lakes Project Environmental Impact Statement: Appendix A: Geology And Seismology (Supplement), Walter A. Anderson, New England Division, United States Army Engineer Division

Dickey-Lincoln School Lakes Project

The plan was prepared for a close working relationship between the evaluation teams and the immediate availability of geochemical and geophysical data to the geologic mapping team. Those samples determined in the field to be anomalously high in heavy metals by cold extractable procedures were sent to North American Laboratories where metal content determinations were made through: atomic absorption and spectrophotometry after hot acid digestion techniques.

Fish And Wildlife Mitigation Report : Dickey-Lincoln School Lakes Project, Maine, New England Division, Corps Of Engineers, U. S. Army Engineer Division

Dickey-Lincoln School Lakes Project

The Dickey Lincoln School Lakes Project is a proposed multipurpose project located on the upper reaches of the St. John River in Aroostook County, Maine. Development would consist of two dams with associated reservoirs and hydroelectric generating facilities, five dikes and transmission lines. A more detailed description of the proposed project and its associated impacts is contained within the Revised Draft Environmental Impact Statement for the proposed project.

Dickey-Lincoln School Lakes Project At Dickey, Maine : Draft Supplement Environmental Impact Statement, U.S. Army Engineer Division, New England Division

Dickey-Lincoln School Lakes Project

The purpose of this Draft Supplement (SDEIS) to the Revised Draft Environmental Impact Statement (RDEIS) is to evaluate the environmental impacts of the Fish and Wildlife Mitigation Plan proposed for Implementation in conjunction with development of the Dickey-Lincoln School Lakes Project, Maine (Appendix K, RDEIS and Attachment 1 of the Report). Although the mitigation plan is intended to mitigate rather than impose adverse environmental impacts, the mitigation measures proposed do constitute a major Federal action requiring the development of a supplemental environmental impact statement pursuant to the National Environmental Policy Act of 1969.

The Pattern Of Twos, Richard C. Heyser

Unpublished Writings

Rather than explaining the meanings behind the phases of sound measurement, Richard C. Heyser explains the relationships between these phases, which he calls the Pattern of Twos.