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Data-Driven Homologue Matching For Chromosome Identification, R. Joe Stanley, James M. Keller, Paul D. Gader, Charles William Caldwell
Data-Driven Homologue Matching For Chromosome Identification, R. Joe Stanley, James M. Keller, Paul D. Gader, Charles William Caldwell
Electrical and Computer Engineering Faculty Research & Creative Works
Karyotyping involves the visualization and classification of chromosomes into standard classes. In "normal" human metaphase spreads, chromosomes occur in homologous pairs for the autosomal classes 1-22, and X chromosome for females. Many existing approaches for performing automated human chromosome image analysis presuppose cell normalcy, containing 46 chromosomes within a metaphase spread with two chromosomes per class. This is an acceptable assumption for routine automated chromosome image analysis. However, many genetic abnormalities are directly linked to structural or numerical aberrations of chromosomes within the metaphase spread. Thus, two chromosomes per class cannot be assumed for anomaly analysis. This paper presents the …
Cure-State Monitoring And Water-To-Cement Ratio Determination Of Fresh Portland Cement-Based Materials Using Near-Field Microwave Techniques, Karl Joseph Bois, Aaron D. Benally, Paul S. Nowak, R. Zoughi
Cure-State Monitoring And Water-To-Cement Ratio Determination Of Fresh Portland Cement-Based Materials Using Near-Field Microwave Techniques, Karl Joseph Bois, Aaron D. Benally, Paul S. Nowak, R. Zoughi
Electrical and Computer Engineering Faculty Research & Creative Works
Quick and nondestructive determination of curestate and water-to-cement (w/c) ratio in fresh Portland cementbased materials is an important issue in the construction industry since the compressive strength of these materials is significantly influenced by w/c ratio. This is especially true since current techniques are not reliable and require a priori testing of test specimens as calibration for subsequent on-site monitoring of a cast in-place structure. Recently, the sensing of Portland cementbased materials using microwave techniques has received much attention. Microwave nondestructive techniques have already shown the potential for determining w/c ratio, sand-to-cement (s/c) ratio and coarse aggregate-to-cement (ca/c) ratio in …
Neural Network Based Optimizing Controllers For Smart Structural Systems, Rajendra Damle, Vittal S. Rao
Neural Network Based Optimizing Controllers For Smart Structural Systems, Rajendra Damle, Vittal S. Rao
Electrical and Computer Engineering Faculty Research & Creative Works
Neural network-based controllers for vibration suppression of smart structural systems have been reported in several recent studies. These studies have shown that in addition to conventional controller design methodologies, neural networks offer an effective basis for design and implementation of controllers. With the introduction of neural network chips like the electronically trainable analog neural network (ETANN) chip i80170NX by Intel and the Ni1000 chip by Nestor Corp., stand-alone hardware implementation of neural network-based controllers is possible. In this paper the capabilities of Intel's ETANN chip to implement linear and nonlinear controllers for smart structural systems have been investigated. A neural …
Open Hemispherical Imaging Dielectric Resonator With Whispering Gallery Modes, Sergey Kharkovsky, Z. E. Eremenko, Yuri F. Filipov
Open Hemispherical Imaging Dielectric Resonator With Whispering Gallery Modes, Sergey Kharkovsky, Z. E. Eremenko, Yuri F. Filipov
Electrical and Computer Engineering Faculty Research & Creative Works
The imaging dielectric resonators with whispering gallery modes (WGMs) for the creation of a new class of millimeter wave solid-state oscillators, devices for the investigation of high temperature superconductors, were suggested. They contain a dielectric element as a semidisk or a cylinder or a hemisphere and a flat metal mirror. The latter is a necessary element for placing in the resonator field active elements or conductor samples of materials. There is an important question about the dependence of the resonant frequencies and Q-factor of these resonators on impedance of the resonator mirror. In the present paper new investigation results of …
An Efficient, Fast Converging Adaptive Filter For Network Echo Cancellation, Steven L. Grant
An Efficient, Fast Converging Adaptive Filter For Network Echo Cancellation, Steven L. Grant
Electrical and Computer Engineering Faculty Research & Creative Works
This paper discusses a fast efficient adaptive filtering algorithm for network echo cancellers PNLMS++ (proportionate normalized least mean squares ++). Compared to the conventional normalized least mean squares (NLMS) algorithm, PNLMSI++ converges much more quickly when the echo path is sparse. When the echo path is dispersive, the convergence rate is the same as NLMS. In addition, the new algorithm diverges at the same rate and to the same misalignment level as NLMS during periods of undetected double-talk. PNLMS++ is only 50% more computationally complex than NLMS and requires no additional memory
Designing Power Bus Decoupling For Cmos Devices, S. Radu, Richard E. Dubroff, Todd H. Hubing, Thomas Van Doren
Designing Power Bus Decoupling For Cmos Devices, S. Radu, Richard E. Dubroff, Todd H. Hubing, Thomas Van Doren
Electrical and Computer Engineering Faculty Research & Creative Works
The adequacy of the DC power bus decoupling for CMOS devices can be determined if the effective board decoupling capacitance, the CMOS load capacitance, the CMOS power dissipation capacitance, the switching time, and the allowable bus noise voltage are known. A simple method is presented for estimating the effective decoupling capacitance. The load and power dissipation capacitance values are shown analytically and experimentally to be closely related to the transient current. The transient current and switching time are used to estimate the transient noise voltage on the power bus
Simulation Of Madmel Power Systems Components, Timothy L. Skvarenina, Oleg Wasynczuk, Paul C. Krause, Steven Pekarek
Simulation Of Madmel Power Systems Components, Timothy L. Skvarenina, Oleg Wasynczuk, Paul C. Krause, Steven Pekarek
Electrical and Computer Engineering Faculty Research & Creative Works
Detailed computer models of system components for More Electric Aircraft have been developed using the Advanced Control System Language (ACSL) and its graphical front-end, Graphic Modeller. Among the devices modeled are a wound-rotor synchronous generator with parallel bridge-rectifier outputs, a switched-reluctance generator, and various loads including a DC-DC converter, an inverter-driven induction motor, and an electro-hydrostatic actuator. Results from the simulations are presented together with corroborating experimental test results. Copyright © 1998 Society of Automotive Engineers, Inc.
An Automated State Model Generation Algorithm For Simulation/Analysis Of Power Systems With Power Electronic Components, Steven Pekarek, E. A. Walters, T. L. Skvarenina, O. Wasynczuk
An Automated State Model Generation Algorithm For Simulation/Analysis Of Power Systems With Power Electronic Components, Steven Pekarek, E. A. Walters, T. L. Skvarenina, O. Wasynczuk
Electrical and Computer Engineering Faculty Research & Creative Works
In this paper, a recently developed algorithmic method of deriving the state equations of power systems containing power electronic components is described. Therein the system is described by the pertinent branch parameters and the circuit topology; however, unlike circuit-based algorithms, the difference equations are not implemented at the branch level. Instead, the composite system state equations are established. A demonstration of the computer implementation of this algorithm to model a variable-speed, constant-frequency aircraft generation system is described. Because of the large number of states and complexity of the system, particular attention is placed on the development of a model structure …
Determination Of Aircraft Orientation For A Vision-Based System Using Artificial Neural Networks, Sanjeev Agarwal, Subhasis Chaudhuri
Determination Of Aircraft Orientation For A Vision-Based System Using Artificial Neural Networks, Sanjeev Agarwal, Subhasis Chaudhuri
Electrical and Computer Engineering Faculty Research & Creative Works
An algorithm for real-time estimation of 3-D orientation of an aircraft, given its monocular, binary image from an arbitrary viewing direction is presented. This being an inverse problem, we attempt to provide an approximate but a fast solution using the artificial neural network technique. A set of spatial moments (scale, translation, and planar rotation invariant) is used as features to characterize different views of the aircraft, which corresponds to the feature space representation of the aircraft. A new neural network topology is suggested in order to solve the resulting functional approximation problem for the input (feature vector)-output (viewing direction) relationship. …
Electrochemical Characterization Of Copper Deposited On Plasma And Thermally Modified Titanium Surfaces, K. S. Teng, J. L. Delplancke, Jiangfan Zhang, T. J. O'Keefe
Electrochemical Characterization Of Copper Deposited On Plasma And Thermally Modified Titanium Surfaces, K. S. Teng, J. L. Delplancke, Jiangfan Zhang, T. J. O'Keefe
Electrical and Computer Engineering Faculty Research & Creative Works
Thin oxide films were grown at temperatures from 373 to 1073 K in plasma and in air on commercially pure titanium substrates. It was determined that the color, thickness, composition, phase, and polarization behavior in a copper electrolyte varied with operating conditions: temperature, oxygen partial pressure, and plasma composition. High-temperature and high oxygen partial pressure plasma produced a thick oxide film. The surface film structure transformed from TiO2 (anatase) to TiO2 (rutile) at a temperature of 600 °C. A lower oxide of the form TinO2n-1, such as Ti2O3 (which may be porous) or possibly Ti3O5, was formed on a thermally …
Substroke Matching By Segmenting And Merging For Online Korean Cursive Character Recognition, Chang-Soo Kim, Kang Ryoung Park, Byung Hwan Jun, Jaihie Kim
Substroke Matching By Segmenting And Merging For Online Korean Cursive Character Recognition, Chang-Soo Kim, Kang Ryoung Park, Byung Hwan Jun, Jaihie Kim
Electrical and Computer Engineering Faculty Research & Creative Works
The Korean character is composed of several alphabets in two-dimensional formation and the total number of Korean characters exceeds eleven thousand. Therefore, the previous approaches to Korean cursive characters pay most of their attention to segmenting a character into alphabets accurately. However, it is difficult because the boundaries of alphabets are not apparent in most cases. We propose an alphabet-based method without assuming accurate alphabet segmentation. In the proposed method, a cursive character is segmented into substrokes by a set of segmenting conditions. Then it is matched with the reference substrokes generated from alphabet models and ligatures by segmenting and …
Millimeter Wave Signals Detection By Means Of Monocrystal Hexagonal Ferrite Ellipsoid, Marina Koledintseva, Alexander A. Kitaytsev
Millimeter Wave Signals Detection By Means Of Monocrystal Hexagonal Ferrite Ellipsoid, Marina Koledintseva, Alexander A. Kitaytsev
Electrical and Computer Engineering Faculty Research & Creative Works
Stable nonlinear resonance effects (SNLREs) have been already studied in crystallographically "isotropic" ferrogarnet ferrite resonators (FR), employed as microwave detectors in the frequency range of 300 MHz to 30 GHz. Application of prospective hexagonal monocrystal ferrites with large field of crystallographic magnetic anisotropy leads to the possibility of a gyromagnetic converter (GC) design for mm waveband (from 30 to 200 GHz) without massive external magnets. This paper deals with the analysis of a more general case with taking into account both crystallographic and form anisotropy as well as the arbitrary orientation of the main crystallographic axis with respect to the …
A Maximum Torque Per Ampere Control Strategy For Induction Motor Drives, O. Wasynczuk, Keith Corzine, S. D. Sudhoff, Jerry L. Tichenor, P. C. Krause, I. G. Hansen, L. M. Taylor
A Maximum Torque Per Ampere Control Strategy For Induction Motor Drives, O. Wasynczuk, Keith Corzine, S. D. Sudhoff, Jerry L. Tichenor, P. C. Krause, I. G. Hansen, L. M. Taylor
Electrical and Computer Engineering Faculty Research & Creative Works
In this paper, a new control strategy is proposed which is simple in structure and has the straightforward goal of minimizing the stator current amplitude for a given load torque. It is shown that the resulting induction motor efficiency is reasonably close to optimal and that the approach is insensitive to variations in rotor resistance. Although the torque response is not as fast as in field-oriented (FO) control strategies, the response is reasonably fast. In fact, if the mechanical time constant is large relative to the rotor time constant, which is frequently the case, the sacrifice in dynamic performance is …
The General Approximation Theorem, Donald C. Wunsch, Alexander N. Gorban
The General Approximation Theorem, Donald C. Wunsch, Alexander N. Gorban
Electrical and Computer Engineering Faculty Research & Creative Works
A general approximation theorem is proved. It uniformly envelopes both the classical Stone theorem and approximation of functions of several variables by means of superpositions and linear combinations of functions of one variable. This theorem is interpreted as a statement on universal approximating possibilities ("approximating omnipotence") of arbitrary nonlinearity. For the neural networks, our result states that the function of neuron activation must be nonlinear, and nothing else
An Analog Vlsi Circuit Implementing An Orthogonal Continuous Wavelet Transform, Dongwei Chen, John G. Harris
An Analog Vlsi Circuit Implementing An Orthogonal Continuous Wavelet Transform, Dongwei Chen, John G. Harris
Electrical and Computer Engineering Faculty Research & Creative Works
We have developed the theory and analog hardware implementation for a Continuous Wavelet Transform (CWT). This novel circuit performs an orthogonal decomposition of temporal signals, such as speech, in a frequency range of 10 Hz to 20 kHz. This multiresolution processor expands the Laguerre structure originally developed by Lee (1960).
Comparative Study Of Stock Trend Prediction Using Time Delay, Recurrent And Probabilistic Neural Networks, Donald C. Wunsch, Emad W. Saad, Danil V. Prokhorov
Comparative Study Of Stock Trend Prediction Using Time Delay, Recurrent And Probabilistic Neural Networks, Donald C. Wunsch, Emad W. Saad, Danil V. Prokhorov
Electrical and Computer Engineering Faculty Research & Creative Works
Three networks are compared for low false alarm stock trend predictions. Short-term trends, particularly attractive for neural network analysis, can be used profitably in scenarios such as option trading, but only with significant risk. Therefore, we focus on limiting false alarms, which improves the risk/reward ratio by preventing losses. To predict stock trends, we exploit time delay, recurrent, and probabilistic neural networks (TDNN, RNN, and PNN, respectively), utilizing conjugate gradient and multistream extended Kalman filter training for TDNN and RNN. We also discuss different predictability analysis techniques and perform an analysis of predictability based on a history of daily closing …
Voice Recognition Using Neural Networks, Ganesh K. Venayagamoorthy, Viresh Moonasar, K. Sandrasegaran
Voice Recognition Using Neural Networks, Ganesh K. Venayagamoorthy, Viresh Moonasar, K. Sandrasegaran
Electrical and Computer Engineering Faculty Research & Creative Works
One solution to the crime and illegal immigration problem in South Africa may be the use of biometric techniques and technology. Biometrics are methods for recognizing a user based on unique physiological and/or behavioural characteristics of the user. This paper presents the results of ongoing work into using neural networks for voice recognition
A Novel Thin Film Transistor Using Double Amorphous Silicon Active Layer, Jong Hyuni Choi, Chang-Soo Kim, Byung Cheon Lim, Jin Jang
A Novel Thin Film Transistor Using Double Amorphous Silicon Active Layer, Jong Hyuni Choi, Chang-Soo Kim, Byung Cheon Lim, Jin Jang
Electrical and Computer Engineering Faculty Research & Creative Works
We have fabricated a novel low off-state leakage current thin-film transistor (TFT) using a chlorine incorporated amorphous silicon [a-Si:H(:Cl)] and amorphous silicon (a-Si:H) stacked active layer, in which conduction channel is formed in a-Si:H and a-Si:H(:Cl) is photo-insensitive material. The off-state photo-leakage current of the a-Si:H(:Cl)/a-Si:H TFT is much lower than that a conventional a-Si:H TFT.
An Improved Method For Incorporating Magnetic Saturation In The Q-D Synchronous Machine Model, Keith Corzine, Brian T. Kuhn, S. D. Sudhoff, H. J. Hegner
An Improved Method For Incorporating Magnetic Saturation In The Q-D Synchronous Machine Model, Keith Corzine, Brian T. Kuhn, S. D. Sudhoff, H. J. Hegner
Electrical and Computer Engineering Faculty Research & Creative Works
An improved technique for incorporating saturation into the q-d axis model (Park''s model) of a synchronous machine is proposed. By choosing magnetizing flux linkage as a state variable, iterative procedures required by traditional methods are avoided. The saturation function is represented by an arctangent function which has some distinct advantages over polynomial representations and look-up tables. In particular, the parameters of the proposed function all have physical significance and the proposed function is defined over an infinite range of flux linkage. The model is verified for steady-state and transient conditions using a laboratory synchronous machine-rectifier system similar to those commonly …
Dc Link Stabilized Field Oriented Control Of Electric Propulsion Systems, Keith Corzine, S. D. Sudhoff, Steven F. Glover, H. J. Hegner, H. N. Robey
Dc Link Stabilized Field Oriented Control Of Electric Propulsion Systems, Keith Corzine, S. D. Sudhoff, Steven F. Glover, H. J. Hegner, H. N. Robey
Electrical and Computer Engineering Faculty Research & Creative Works
Induction motor based electric propulsion systems can be used in a wide variety of applications including locomotives, hybrid electric vehicles, and ships. Field oriented control of these drives is attractive since it allows the torque to be tightly and nearly instantaneously controlled. However, such systems can be prone to negative impedance instability of the DC link. This paper examines this type of instability and sets forth a readily implemented albeit nonlinear control strategy to mitigate this potential problem.
Excitation Of The Whispering-Gallery-Modes At The Shielded Hemispherical Dielectric Resonator, Sergey Kharkovsky, V. V. Kutuzov, A. E. Kogut, V. A. Solodovnik
Excitation Of The Whispering-Gallery-Modes At The Shielded Hemispherical Dielectric Resonator, Sergey Kharkovsky, V. V. Kutuzov, A. E. Kogut, V. A. Solodovnik
Electrical and Computer Engineering Faculty Research & Creative Works
No abstract provided.
Emc Applications Of The Emap5 Hybrid Fem/Mom Code, Yun Ji, Todd H. Hubing, Mohammad Wares Ali
Emc Applications Of The Emap5 Hybrid Fem/Mom Code, Yun Ji, Todd H. Hubing, Mohammad Wares Ali
Electrical and Computer Engineering Faculty Research & Creative Works
EMAP5 is a numerical software package designed to model electromagnetic problems. It employs the finite element method (FEM) to analyze three-dimensional volumes, and the method of moments (MOM) to analyze the current distribution on the surface of these volumes. The two methods are coupled through the fields on the dielectric surface. This paper describes the formulation of the EMAP5 code and demonstrates how it can be used to analyze simple printed circuit board configurations
Simulation Studies With A Continuously Online Trained Artificial Neural Network Controller For A Micro-Turbogenerator, Ganesh K. Venayagamoorthy, Ronald G. Harley
Simulation Studies With A Continuously Online Trained Artificial Neural Network Controller For A Micro-Turbogenerator, Ganesh K. Venayagamoorthy, Ronald G. Harley
Electrical and Computer Engineering Faculty Research & Creative Works
This paper reports on the simulation studies carried out using MATLAB/SIMULINK and the practical implementation of a continuously online trained (COT) artificial neural network (ANN) controller to identify the continuous changing complex nonlinear dynamics of the power system, and another COT ANN to control a micro-turbogenerator which consists of a turbine simulator and a micro-alternator connected to an infinite bus through a short transmission line in a laboratory environment. This neural network controller augments/replaces the traditional automatic voltage regulator (AVR) and the turbine governor of the generator. Simulation and practical results are presented to show that this COT ANN identifier/controller …
A Practical Continually Online Trained Artificial Neural Network Controller For A Turbogenerator, Ganesh K. Venayagamoorthy, Ronald G. Harley
A Practical Continually Online Trained Artificial Neural Network Controller For A Turbogenerator, Ganesh K. Venayagamoorthy, Ronald G. Harley
Electrical and Computer Engineering Faculty Research & Creative Works
This paper reports on the simulation and practical studies carried out on a single turbogenerator connected to an infinite bus through a short transmission line, with a continually online trained (COT) artificial neural network (ANN) controller to identify the turbogenerator, and another COT ANN to control the turbogenerator. This identifier/controller augments/replaces the automatic voltage regulator and the turbine governor. Results are presented to show that this COT ANN identifier/controller has the potential to allow turbogenerators to operate more closely to their steady-state stability limits and nevertheless “ride through” severe transient disturbances such as three phase faults. This allows greater usage …
Microwave Filtering Of Unwanted Oscillations On Base Of Hexagonal Ferrite Composite Thick Films, Marina Koledintseva, Alexander A. Kitaytsev, Andrey A. Shinkov
Microwave Filtering Of Unwanted Oscillations On Base Of Hexagonal Ferrite Composite Thick Films, Marina Koledintseva, Alexander A. Kitaytsev, Andrey A. Shinkov
Electrical and Computer Engineering Faculty Research & Creative Works
The paper is aimed at the design of waveguide filters of lower frequencies using composite thick films (CTF) made of high-anisotropy polycrystalline hexagonal ferrite powders. Theoretical and experimental results describing the possibility of forming the desired frequency characteristic of the filters are presented
New Perspectives For Maximum Likelihood Time-Delay Estimation, John A. Stuller
New Perspectives For Maximum Likelihood Time-Delay Estimation, John A. Stuller
Electrical and Computer Engineering Faculty Research & Creative Works
This Paper Introduces a New Realization for Maximum Likelihood Time-Delay Estimation (TDE) that Illuminates the Relationships between Maximum Likelihood TDE and Other Methods. We Obtain the Result by Deriving the Likelihood Function using a Fundamental Method that Appears to Be New to the Field of Array Processing. This Method is a Natural Complement to the Generalized Karhunen-Loève Expansion. © 1997 IEEE.
Analog Hardware Implementation Of Adaptive Filter Structures, Jui Kuo Juan, J. G. Harris, J. C. Principe
Analog Hardware Implementation Of Adaptive Filter Structures, Jui Kuo Juan, J. G. Harris, J. C. Principe
Electrical and Computer Engineering Faculty Research & Creative Works
We have implemented a four-tap adaptive filter in a continuous-time analog VLSI circuit. Since an ideal delay is impossible to implement in continuous-time hardware, we implemented the delay line as a cascade of low-pass filters (called the Gamma filter). Since many years of research in our lab has shown that the Gamma filter outperforms the delay line for a wide range of applications, the Gamma filter should not be considered merely a crude approximation of the ideal delay line. We show measured results from an analog chip that solves the problem of system identification-identifying an unknown linear circuit from its …
Real-Time And On-Line Near-Field Microwave Inspection Of Surface Defects In Rolled Steel, R. Zoughi, Christian J. Huber, Nasser N. Qaddoumi, Emarit Ranu, Vladimir Otashevich, Radin Mirshahi, Stoyan I. Ganchev, Thomas Johnson
Real-Time And On-Line Near-Field Microwave Inspection Of Surface Defects In Rolled Steel, R. Zoughi, Christian J. Huber, Nasser N. Qaddoumi, Emarit Ranu, Vladimir Otashevich, Radin Mirshahi, Stoyan I. Ganchev, Thomas Johnson
Electrical and Computer Engineering Faculty Research & Creative Works
The potential and limitations of near-field microwave inspection techniques for detecting various surface defects in rolled steel have been investigated. The focus of this study has been to investigate this potential for tin mill products containing gross and subtle defects including steel induced defects, roll marks, holes, scratches and gouges.
Quantifying Emi Resulting From Finite-Impedance Reference Planes, David M. Hockanson, James L. Drewniak, Todd H. Hubing, Thomas Van Doren, Fei Sha, Cheung-Wei Lam, Lawrence Rubin
Quantifying Emi Resulting From Finite-Impedance Reference Planes, David M. Hockanson, James L. Drewniak, Todd H. Hubing, Thomas Van Doren, Fei Sha, Cheung-Wei Lam, Lawrence Rubin
Electrical and Computer Engineering Faculty Research & Creative Works
Parasitic inductance in printed circuit board (PCB) geometries can detrimentally impact the electromagnetic interference(EMI) performance and signal integrity of high-speed digital designs. This paper identifies and quantifies the parameters that affect the inductance of some typical PCB geometries. Closed-form expressions are provided for estimating the inductances of simple trace and ground plane configurations.
Modeling Of Surface Hairline-Crack Detection In Metals Under Coatings Using An Open-Ended Rectangular Waveguide, Christian J. Huber, Habibollah Abiri, Stoyan I. Ganchev, R. Zoughi
Modeling Of Surface Hairline-Crack Detection In Metals Under Coatings Using An Open-Ended Rectangular Waveguide, Christian J. Huber, Habibollah Abiri, Stoyan I. Ganchev, R. Zoughi
Electrical and Computer Engineering Faculty Research & Creative Works
A surface-breaking hairline crack or a narrow slot in a metallic specimen when scanned by an open-ended rectangular waveguide probe influences the reflection-coefficient properties of the incident dominant mode. Subsequent recording of a change in the standing-wave pattern while scanning such a surface results in what is known as the crack characteristic signal. Since microwave signals penetrate inside dielectric materials, this methodology is capable of detecting cracks under dielectric coatings of various electrical thicknesses as well. To electromagnetically model the interaction of an open-ended rectangular waveguide with a surface-breaking hairline crack under a dielectric coating, the dielectric-coating layer is modeled …