Dielectric Science and Technology
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Role of Dielectric Materials in Electrical Engineering B D Bhagat
ISSN: 2319-5967 ISO 9001:2008 Certified International Journal of Engineering Science and Innovative Technology (IJESIT) Volume 2, Issue 5, September 2013 Role of Dielectric Materials in Electrical Engineering B D Bhagat Abstract- In India commercially industrial consumer consume more quantity of electrical energy which is inductive load has lagging power factor. Drawback is that more current and power required. Capacitor improves the power factor. Commercially manufactured capacitors typically used solid dielectric materials with high permittivity .The most obvious advantages to using such dielectric materials is that it prevents the conducting plates the charges are stored on from coming into direct electrical contact. I. INTRODUCTION Dielectric materials are those which are used in condensers to store electrical energy e.g. for power factor improvement in single phase motors, in tube lights etc. Dielectric materials are essentially insulating materials. The function of an insulating material is to obstruct the flow of electric current while the function of dielectric is to store electrical energy. Thus, insulating materials and dielectric materials differ in their function. A. Electric Field Strength in a Dielectric Thus electric field strength in a dielectric is defined as the potential drop per unit length measured in volts/m. Electric field strength is also called as electric force. If a potential difference of V volts is maintained across the two metal plates say A1 and A2, held l meters apart, then Electric field strength= E= volts/m. B. Electric Flux in Dielectric It is assumed that one line of electric flux comes out from a positive charge of one coulomb and enters a negative charge of one coulombs. -
Chapter 5 Capacitance and Dielectrics
Chapter 5 Capacitance and Dielectrics 5.1 Introduction...........................................................................................................5-3 5.2 Calculation of Capacitance ...................................................................................5-4 Example 5.1: Parallel-Plate Capacitor ....................................................................5-4 Interactive Simulation 5.1: Parallel-Plate Capacitor ...........................................5-6 Example 5.2: Cylindrical Capacitor........................................................................5-6 Example 5.3: Spherical Capacitor...........................................................................5-8 5.3 Capacitors in Electric Circuits ..............................................................................5-9 5.3.1 Parallel Connection......................................................................................5-10 5.3.2 Series Connection ........................................................................................5-11 Example 5.4: Equivalent Capacitance ..................................................................5-12 5.4 Storing Energy in a Capacitor.............................................................................5-13 5.4.1 Energy Density of the Electric Field............................................................5-14 Interactive Simulation 5.2: Charge Placed between Capacitor Plates..............5-14 Example 5.5: Electric Energy Density of Dry Air................................................5-15 -
Super-Resolution Imaging by Dielectric Superlenses: Tio2 Metamaterial Superlens Versus Batio3 Superlens
hv photonics Article Super-Resolution Imaging by Dielectric Superlenses: TiO2 Metamaterial Superlens versus BaTiO3 Superlens Rakesh Dhama, Bing Yan, Cristiano Palego and Zengbo Wang * School of Computer Science and Electronic Engineering, Bangor University, Bangor LL57 1UT, UK; [email protected] (R.D.); [email protected] (B.Y.); [email protected] (C.P.) * Correspondence: [email protected] Abstract: All-dielectric superlens made from micro and nano particles has emerged as a simple yet effective solution to label-free, super-resolution imaging. High-index BaTiO3 Glass (BTG) mi- crospheres are among the most widely used dielectric superlenses today but could potentially be replaced by a new class of TiO2 metamaterial (meta-TiO2) superlens made of TiO2 nanoparticles. In this work, we designed and fabricated TiO2 metamaterial superlens in full-sphere shape for the first time, which resembles BTG microsphere in terms of the physical shape, size, and effective refractive index. Super-resolution imaging performances were compared using the same sample, lighting, and imaging settings. The results show that TiO2 meta-superlens performs consistently better over BTG superlens in terms of imaging contrast, clarity, field of view, and resolution, which was further supported by theoretical simulation. This opens new possibilities in developing more powerful, robust, and reliable super-resolution lens and imaging systems. Keywords: super-resolution imaging; dielectric superlens; label-free imaging; titanium dioxide Citation: Dhama, R.; Yan, B.; Palego, 1. Introduction C.; Wang, Z. Super-Resolution The optical microscope is the most common imaging tool known for its simple de- Imaging by Dielectric Superlenses: sign, low cost, and great flexibility. -
Measurement of Dielectric Material Properties Application Note
with examples examples with solutions testing practical to show written properties. dielectric to the s-parameters converting for methods shows Italso analyzer. a network using materials of properties dielectric the measure to methods the describes note The application | | | | Products: Note Application Properties Material of Dielectric Measurement R&S R&S R&S R&S ZNB ZNB ZVT ZVA ZNC ZNC Another application note will be will note application Another <Application Note> Kuek Chee Yaw 04.2012- RAC0607-0019_1_4E Table of Contents Table of Contents 1 Overview ................................................................................. 3 2 Measurement Methods .......................................................... 3 Transmission/Reflection Line method ....................................................... 5 Open ended coaxial probe method ............................................................ 7 Free space method ....................................................................................... 8 Resonant method ......................................................................................... 9 3 Measurement Procedure ..................................................... 11 4 Conversion Methods ............................................................ 11 Nicholson-Ross-Weir (NRW) .....................................................................12 NIST Iterative...............................................................................................13 New non-iterative .......................................................................................14 -
Frequency Dependence of the Permittivity
Frequency dependence of the permittivity February 7, 2016 In materials, the dielectric “constant” and permeability are actually frequency dependent. This does not affect our results for single frequency modes, but when we have a superposition of frequencies it leads to dispersion. We begin with a simple model for this behavior. The variation of the permeability is often quite weak, and we may take µ = µ0. 1 Frequency dependence of the permittivity 1.1 Permittivity produced by a static field The electrostatic treatment of the dielectric constant begins with the electric dipole moment produced by 2 an electron in a static electric field E. The electron experiences a linear restoring force, F = −m!0x, 2 eE = m!0x where !0 characterizes the strength of the atom’s restoring potential. The resulting displacement of charge, eE x = 2 , produces a molecular polarization m!0 pmol = ex eE = 2 m!0 Then, if there are N molecules per unit volume with Z electrons per molecule, the dipole moment per unit volume is P = NZpmol ≡ 0χeE so that NZe2 0χe = 2 m!0 Next, using D = 0E + P E = 0E + 0χeE the relative dielectric constant is = = 1 + χe 0 NZe2 = 1 + 2 m!00 This result changes when there is time dependence to the electric field, with the dielectric constant showing frequency dependence. 1 1.2 Permittivity in the presence of an oscillating electric field Suppose the material is sufficiently diffuse that the applied electric field is about equal to the electric field at each atom, and that the response of the atomic electrons may be modeled as harmonic. -
Low-K Dielectrics
Low- κ Dielectrics Prof. Krishna Saraswat Department of Electrical Engineering Stanford University Stanford, CA 94305 [email protected] araswat tanford University 1 EE311/ Low-k Dielectrics Performance Metrics • Signaling • Clocking • Delay • Timing uncertainty • Power dissipation (skew and jitter) • Bandwidth • Power dissipation • Self heating • Slew rate • Data reliability (Noise) • Area • Cross talk • ISI: impedance mismatch • Power Distribution • Area • Supply reliability • Reliability • Electromigration • Depend on R, C and L ! • Function and length dictates relative importance araswat tanford University 2 EE311/ Low-k Dielectrics 1 Interplay Between Signaling Metrics M3 CILD H M2 W CIMD AR=H/W M1 RC-Delay * ' RCinttot • AR increase (tradeoffs)=> Power 2 – Better delay and electromigration P =)CinttotV f 'Cinttot – Worse power and cross talk Crosstalk C 1 • Increasing aspect ratio may not help X ' IMD = talk C ( inttot & ILD # Pay attention to different metrics simultaneously $ ( ! • 1+ % IMD " •Design window quite complex AR2 araswat •Capacitance very important tanford University 3 EE311/ Low-k Dielectrics Dielectric Constant • The dielectric constant, κ, is a physical measure of the electric polarizability of a material • Electric polarizability is the tendency of a material to allow an externally applied electric field to induce electric dipoles (separated positive and negative charges) in the material. Polarization P is related to the electric field E and the displacement D by D = εoE + P • P is related to E through χe the -
Chapter 1 ELECTROMAGNETICS of METALS
Chapter 1 ELECTROMAGNETICS OF METALS While the optical properties of metals are discussed in most textbooks on condensed matter physics, for convenience this chapter summarizes the most important facts and phenomena that form the basis for a study of surface plas- mon polaritons. Starting with a cursory review of Maxwell’s equations, we describe the electromagnetic response both of idealized and real metals over a wide frequency range, and introduce the fundamental excitation of the conduc- tion electron sea in bulk metals: volume plasmons. The chapter closes with a discussion of the electromagnetic energy density in dispersive media. 1.1 Maxwell’s Equations and Electromagnetic Wave Propagation The interaction of metals with electromagnetic fields can be firmly under- stood in a classical framework based on Maxwell’s equations. Even metallic nanostructures down to sizes on the order of a few nanometres can be described without a need to resort to quantum mechanics, since the high density of free carriers results in minute spacings of the electron energy levels compared to thermal excitations of energy kBT at room temperature. The optics of met- als described in this book thus falls within the realms of the classical theory. However, this does not prevent a rich and often unexpected variety of optical phenomena from occurring, due to the strong dependence of the optical prop- erties on frequency. As is well known from everyday experience, for frequencies up to the vis- ible part of the spectrum metals are highly reflective and do not allow elec- tromagnetic waves to propagate through them. Metals are thus traditionally employed as cladding layers for the construction of waveguides and resonators for electromagnetic radiation at microwave and far-infrared frequencies. -
Nano-Optomechanical Nonlinear Dielectric Metamaterials
Nano-optomechanical Nonlinear Dielectric Metamaterials Artemios Karvounis1, Jun-Yu Ou1, Weiping Wu1, Kevin F. MacDonald1, and Nikolay I. Zheludev1, 2 1 Optoelectronics Research Centre & Centre for Photonic Metamaterials, University of Southampton, Southampton, SO17 1BJ, UK 2 The Photonics Institute & Centre for Disruptive Photonic Technologies, Nanyang Technological University, Singapore 637371 By harnessing the resonant nature of localized electromagnetic modes in a nanostructured silicon membrane, an all-dielectric metamaterial can act as nonlinear medium at optical telecommunications wavelengths. We show that such metamaterials provide extremely large optomechanical nonlinearities, operating at intensities of only a few μW per unit cell and modulation frequencies as high as 152 MHz, thereby offering a path to fast, compact and energy efficient all-optical metadevices. Non-metallic metamaterial nanostructures currently of radiative losses in resonant plasmonic metamaterials, attract intense attention as they promise to reduce the as non-radiative losses (Joule heating) are unavoidable in losses and costs associated with the use of noble metals the constituent metals. In ‘all-dielectric’ metamaterials in traditional plasmonic architectures.1 It has already non-radiative losses are a-priori limited, so with been shown that oxides and nitrides,2 graphene,3 appropriate design they can present even stronger optical topological insulators,4 and high-index dielectrics5-13 can resonances, and thereby generate stronger optical forces, be used -
B.Sc. Physics (SECOND YEAR)
B.Sc. Physics (SECOND YEAR) Paper II Electromagnetics UNIT-III Dielectric Materials • Dielectric materials are a type of electrical insulators that can be polarized through an external applied electric filed. • These materials, generally, do not contain any free charge carriers for conduction. • In such dielectric materials, positive and negative charge entities are bounded together. • The behaviour of dielectric materials can be modified by an external electric field through reorienting the charges within the atom or molecules. • Generally, these materials do not have any net dipole moment in absence of external electric field. • As a consequence of applied electric field, positive charge of dielectric is pushed in direction of the field while negative the opposite way. The overall effect is a displacement of entire positive charge in the dielectric relative to the negative charge, formed induced electric dipoles. • Dielectric materials are classifiedDS into two categories, named as polar molecules and non-polar molecules. Electric Dipole and Electric Dipole Moment 1 An electric dipole is an entity in which equal positive (+q) and negative (-q) charges are separated by a small distance (dl) and the resultant electric dipole moment ( ) due to it is given by, ⃗ = The electric dipole⃗ moment ���⃗ is a vector quantity and it is directed from negative charge to positive charge as shown in adjacent figure. Non-polar and Polar Molecules If the centre of gravity of the positive and negative charges in a molecule are separated by a short distance, such molecules are known as Polar Molecules. It behaves as an electric dipole with direction of dipole moment from negative charge to positive charge. -
All-Dielectric Metamaterials: Irrelevance of Negative Refraction to Overlapped Mie Resonances
Michigan Technological University Digital Commons @ Michigan Tech Michigan Tech Publications 10-20-2017 All-dielectric metamaterials: irrelevance of negative refraction to overlapped Mie resonances Navid Gandji Michigan Technological University George Semouchkin Michigan Technological University, [email protected] Elena Semouchkina Michigan Technological University, [email protected] Follow this and additional works at: https://digitalcommons.mtu.edu/michigantech-p Part of the Civil and Environmental Engineering Commons, and the Computer Sciences Commons Recommended Citation Gandji, N., Semouchkin, G., & Semouchkina, E. (2017). All-dielectric metamaterials: irrelevance of negative refraction to overlapped Mie resonances. Journal of Physics D: Applied Physics, 50(45). http://dx.doi.org/ 10.1088/1361-6463/aa89d3 Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/655 Follow this and additional works at: https://digitalcommons.mtu.edu/michigantech-p Part of the Civil and Environmental Engineering Commons, and the Computer Sciences Commons Journal of Physics D: Applied Physics PAPER All-dielectric metamaterials: irrelevance of negative refraction to overlapped Mie resonances To cite this article: N P Gandji et al 2017 J. Phys. D: Appl. Phys. 50 455104 Manuscript version: Accepted Manuscript Accepted Manuscript is “the version of the article accepted for publication including all changes made as a result of the peer review process, and which may also include the addition to the article by IOP Publishing of a header, an article ID, a cover sheet and/or an ‘Accepted Manuscript’ watermark, but excluding any other editing, typesetting or other changes made by IOP Publishing and/or its licensors” This Accepted Manuscript is © © 2017 IOP Publishing Ltd. During the embargo period (the 12 month period from the publication of the Version of Record of this article), the Accepted Manuscript is fully protected by copyright and cannot be reused or reposted elsewhere. -
Electrostatic Forces and Stored Energy for Deformable Dielectric Materials
Electrostatic Forces and Stored Energy for Deformable Dielectric Materials An isothermal energy balance is formulated for a system consisting of deformable dielec- tric bodies, electrodes, and the surrounding space. The formulation in this paper is Robert M. McMeeking obtained in the electrostatic limit but with the possibility of arbitrarily large deformations Fellow ASME of polarizable material. The energy balance recognizes that charges may be driven onto Department of Mechanical and Environmental or off of the electrodes, a process accompanied by external electrical work; mechanical Engineering and Materials Department, loads may be applied to the bodies, thereby doing work through displacements; energy is University of California, stored in the material by such features as elasticity of the lattice, piezoelectricity, and Santa Barbara, CA 93106 dielectric and electrostatic interactions; and nonlinear reversible material behavior such e-mail: [email protected] as electrostriction may occur. Thus the external work is balanced by (1) internal energy consisting of stress doing work on strain increments, (2) the energy associated with Chad M. Landis permeating free space with an electric field, and (3) by the electric field doing work on Mem. ASME increments of electric displacement or, equivalently, polarization. For a conservative Department of Mechanical Engineering and system, the internal work is stored reversibly in the body and in the underlying and Materials Science, surrounding space. The resulting work statement for a conservative system is considered Rice University, in the special cases of isotropic deformable dielectrics and piezoelectric materials. We Houston, TX 77251 identify the electrostatic stress, which provides measurable information quantifying the e-mail: [email protected] electrostatic effects within the system, and find that it is intimately tied to the constitutive formulation for the material and the associated stored energy and cannot be independent of them. -
Dielectric Characterization and Reference Materials
UNITED STATES DEPARTMENT OF COMMERCE NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY NisrNATL INST. OF STAND i TECH R.I.C. A111D3 m7M3M j_ NIST Technical PUBLICATIONS NIST Note 1338 NATIONAL INSTITUTE OF STANDARDS & TECHNOLOGY Research Information Center Gaithersburg, MD 20899 'i tpi f lip Dielectric Characterization and Reference Materials Richard G. Geyer Electromagnetic Fields Division Center for Electronics and Electrical Engineering National Engineering Laboratory National Institute of Standards and Technology Boulder, Colorado 80303-3328 .^et*TO.eo^ ^4, Q .^ \ K<r U.S. DEPARTMENT OF COMMERCE, Robert A. Mosbacher, Secretary NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY, John W. Lyons, Director Issued April 1990 National Institute of Standards and Technology Technical Note 1338 Natl. Inst. Stand. Technol., Tech. Note 1338, 124 pages (Apr. 1990) CODEN:NTNOEF U.S. GOVERNMENT PRINTING OFFICE WASHINGTON: 1990 For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, DC 20402-9325 CONTENTS Page ABSTRACT 1 1. INTRODUCTION 2 2. NATIONAL NEED FOR ENHANCED DIELECTRIC METROLOGY AND REFERENCE MATERIALS 3 3. DESIRABLE PROPERTIES OF REFERENCE MATERIALS .... 7 4. ELECTROMAGNETIC CHARACTERISTICS OF MATERIALS 11 4.1 Physical Concepts Governing Electromagnetic Behavior 11 4.1.1 Anisotropy 12 4.1.2 Class A Dielectrics 13 4.1.3 Polar Versus Nonpolar Materials 14 4.1.4 Complex Material Constituent Properties 16 4.1.5 Distinction Between Ohmic Conductivity and Dielectric Loss Factor or Between Faradaic Diffusion Transport and In-phase Polarization Phenomena 17 4.1.6 Quality Factor of Dielectrics 18 4.2 Polarization Mechanisms Intrinsic to Materials 19 4.3 Dispersion and Relaxation Processes in Materials 22 24 4.3.1 Debye Relaxation .