DOCSLIB.ORG

High Dielectric Permittivity Materials in the Development of Resonators Suitable for Metamaterial and Passive Filter Devices at Microwave Frequencies

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text

Load more

ADVERTIMENT. Lʼaccés als continguts dʼaquesta tesi queda condicionat a lʼacceptació de les condicions dʼús establertes per la següent llicència Creative Commons: http://cat.creativecommons.org/?page_id=184 ADVERTENCIA. El acceso a los contenidos de esta tesis queda condicionado a la aceptación de las condiciones de uso establecidas por la siguiente licencia Creative Commons: http://es.creativecommons.org/blog/licencias/ WARNING. The access to the contents of this doctoral thesis it is limited to the acceptance of the use conditions set by the following Creative Commons license: https://creativecommons.org/licenses/?lang=en High dielectric permittivity materials in the development of resonators suitable for metamaterial and passive filter devices at microwave frequencies Ph.D. Thesis written by Bahareh Moradi Under the supervision of Dr. Juan Jose Garcia Garcia Bellaterra (Cerdanyola del Vallès), February 2016 Abstract Metamaterials (MTMs) represent an exciting emerging research area that promises to bring about important technological and scientific advancement in various areas such as telecommunication, radar, microelectronic, and medical imaging. The amount of research on this MTMs area has grown extremely quickly in this time. MTM structure are able to sustain strong sub-wavelength electromagnetic resonance and thus potentially applicable for component miniaturization. Miniaturization, optimization of device performance through elimination of spurious frequencies, and possibility to control filter bandwidth over wide margins are challenges of present and future communication devices. This thesis is focused on the study of both interesting subject (MTMs and miniaturization) which is new miniaturization strategies for MTMs component. Since, the dielectric resonators (DR) are new type of MTMs distinguished by small dissipative losses as well as convenient conjugation with external structures; they are suitable choice for development process. The primary advantage in using a high dielectric constant as a DR is to miniaturize the filter size. The size of DR filter is considerably smaller than the dimension of waveguide filters operate at the same frequency. For a given dielectric constant, both resonant frequency and Q-factor are defined according to the dielectric resonator dimensions. That, the higher the dielectric constant, the smaller the space within which the fields are concentrated, the lower the dimension at a defined frequency. To obtain the required compact sizes new stop-band filter is proposed in this work based on number of thick film high dielectric constant epoxy paste (TFDR) as DRs which excited with a microstrip line. In addition, a band-pass filter is proposed based on embedded dielectric resonators (EDR) constitutes a new approach to the miniaturized resonators suitable for II metamaterials design without the Q degradation inherent to the coupling coefficient based on sub-wavelength particles. Also this thesis is proposed a new band-pass filter based on split ring resonators (SRRs), which is a one of the popular MTMs building blocks today. The band-pass filters based on this concept can be very promising for the applications where miniaturization and compatibility with planar millimeter wave technology are the important issues. Also, for further miniaturization, embedded DR technology is reported. Another approach for size reduction is modifying the traditional resonator to generate additional modes, which make the resonator to behave as a multimode resonator. Finally a compact ultra-wide band-pass (UWB) band-pass filter using grounded open ring resonator as a multimode resonator (MMR) is proposed. The approach allows using five resonances to produce a 128% fractional bandwidth into the ultra-wide band. A general theoretic framework has been established using transmission matrix description of the filter constituent components. To demonstrate and validate designs functionality, all the proposed devices are implemented and fabricated, which a good agreement between simulations and measurement are obtained. Through these methods it is demonstrated that their equivalent circuit models provide an accurate description of the considered structures. Indeed, a clear relationship between their equivalents circuit model and the layout physical dimensions were found. III Resumen Los metamateriales (MTMs) representan una interesante área de investigación emergente que promete lograr un importante progreso tecnológico y científico en diversas áreas como las telecomunicaciones, la microelectrónica, radar, e imágenes médicas. La cantidad de artículos dedicados a la investigación en esta área (MTMs) se mantiene en pleno crecimiento en la actualidad. Las estructuras MTMs pueden sostener una fuerte resonancia electromagnética con longitudes de onda electricamente pequeñas y por lo tanto son potencialmente aplicables para la miniaturización de los componentes. La miniaturización, optimización del rendimiento del dispositivo mediante la eliminación de frecuencias espurias, y la posibilidad de controlar el ancho de banda del filtro para amplios márgenes de frecuencias es un reto para los presentes y futuros dispositivos de comunicación. Esta tesis se focaliza en el estudio de ambos temas (MTMs y miniaturización) centrándose en las nuevas estrategias para la miniaturización de componentes basados en MTMs. Desde la aparición de estos, los resonadores dieléctricos (DR) son un nuevo tipo de MTMs distinguidos por sus pequeñas pérdidas, así como su fácil combinación con estructuras externas; son la elección adecuada para todo proceso de desarrollo. La principal ventaja de utilizar una alta constante dieléctrica como DR es miniaturizar el tamaño del filtro. El tamaño del filtro de DR es considerablemente menor que la dimensión de la guía de ondas de otros filtros que operan a la misma frecuencia. Dada una constante dieléctrica, tanto la frecuencia de resonancia como el factor de calidad Q se definen a partir de las dimensiones del resonador dieléctrico. Cuanto mayor es la constante dieléctrica, menor es el espacio en el que se concentran los campos, y por lo tanto las dimensiones necesarias para trabajar a una frecuencia de operación definida quedan reducidas. IV Con el objetivo de miniaturizar las dimensiones del dispositivo, en este trabajo se propone un nuevo diseño para un filtro rechaza banda basado en la alta constante dieléctrica que proporciona una fina capa de pasta epoxy (TFDR) como material DRs excitado a través de una línea microstrip. Además, se propone un filtro pasa banda diseñado en base a los resonadores dieléctricos incrustados (EDR), esto constituye un nuevo enfoque en el campo de los resonadores miniaturizados adaptado a los metamateriales, logrando evitar la degradación del factor Q inherente al coeficiente de acoplamiento basado en partículas eléctricamente pequeñas. En esta tesis se propone también un nuevo filtro pasa de banda basado en resonadores de anillo dividido (SRRs), que es uno de los bloques de construcción MTMs más popular hoy en día. Los filtros de paso de banda basados en este concepto resultan prometedores para las aplicaciones donde la miniaturización y la compatibilidad con la tecnología de ondas planares milimétricas son los requisitos críticos del diseño. Además, para mayor miniaturización, tecnología DR de incrustado es reportada. Otro enfoque para la reducción de tamaño se basa en modificar el resonador tradicional para generar modos adicionales, los cuales hacen que el resonador se comporte como un resonador multimodal. Por último, se propone un filtro compacto paso banda de banda ultra ancha (UWB) utilizando un resonador de anillo abierto conectado a tierra empleado como un resonador multimodal (MMR). Esta propuesta permite utilizar cinco resonancias para producir un ancho de banda fraccional del 128% dentro de la banda ultra ancha. Para demostrar y validar la funcionalidad de los diseños, todos los dispositivos propuestos se han implementado y fabricado, con una excelente concordancia entre las simulaciones y las medidas experimentales. A través de estos métodos ha quedado demostrado que los modelos de sus circuitos equivalentes proporcionan una descripción precisa del comportamiento de las estructuras. En este trabajo se ha conseguido relacionar una relación directa entre las dimensiones físicas del dispositivo y su modelo equivalente eléctrico en forma de circuito. V Acknowledgments I would like to express my deep and sincere gratitude to my supervisor Prof. Juan Jose Garcia Garcia. I appreciate all his contributions of time, ideas and encouragements during my PhD study. It has been an honor for me to be his PhD student. I am thankful of his patience and support at every stage of this PhD work. I am very grateful for the opportunity that was given to me by Grupo de Aplicaciones Electro mangeticas Industrials (GAEMI) to carry out this work as well as for sponsoring, and the use of facilities. I thank everybody in the GAEMI group for their continuous encouragements. It is a pleasure to convey my gratitude to prof, Núria Barniol Beumala and prof, Arantxa Uranga. I would like to express my thanks to my parents for their discrete but ever so precious moral support, my sister Homa, my brother Hamidreza and also my dears Kimiya and Farhak for their great love to me and for aiding me a lot to accept and enjoy my new life conditions in Spain. Finally, I would like to special thank Meysam, my husband, for all his help and moral support. VI Contents 1 Introduction ............................................................................................................
Recommended publications
  • Chapter 1 Metamaterials and the Mathematical Science

    Chapter 1 Metamaterials and the Mathematical Science

    CHAPTER 1 METAMATERIALS AND THE MATHEMATICAL SCIENCE OF INVISIBILITY André Diatta, Sébastien Guenneau, André Nicolet, Fréderic Zolla Institut Fresnel (UMR CNRS 6133). Aix-Marseille Université 13397 Marseille cedex 20, France E-mails: [email protected];[email protected]; [email protected]; [email protected] Abstract. In this chapter, we review some recent developments in the field of photonics: cloaking, whereby an object becomes invisible to an observer, and mirages, whereby an object looks like another one (say, of a different shape). Such optical illusions are made possible thanks to the advent of metamaterials, which are new kinds of composites designed using the concept of transformational optics. Theoretical concepts introduced here are illustrated by finite element computations. 1 2 A. Diatta, S. Guenneau, A. Nicolet, F. Zolla 1. Introduction In the past six years, there has been a growing interest in electromagnetic metamaterials1 , which are composites structured on a subwavelength scale modeled using homogenization theories2. Metamaterials have important practical applications as they enable a markedly enhanced control of electromagnetic waves through coordinate transformations which bring anisotropic and heterogeneous3 material parameters into their governing equations, except in the ray diffraction limit whereby material parameters remain isotropic4 . Transformation3 and conformal4 optics, as they are now known, open an unprecedented avenue towards the design of such metamaterials, with the paradigms of invisibility cloaks. In this review chapter, after a brief introduction to cloaking (section 2), we would like to present a comprehensive mathematical model of metamaterials introducing some basic knowledge of differential calculus. The touchstone of our presentation is that Maxwell’s equations, the governing equations for electromagnetic waves, retain their form under coordinate changes.
  • Structural Composites with Integrated Electromagnetic Functionality

    Structural Composites with Integrated Electromagnetic Functionality

    Structural composites with integrated electromagnetic functionality Syrus C. Nemat-Nasser, Alireza Vakil Amirkhizi, Thomas Plaisted, Jon Isaacs, and Sia Nemat-Nasser∗ ABSTRACT We are studying the incorporation of electromagnetic effective media in the form of arrays of metal scattering elements, such as wires, into polymer-based or ceramic-based composites. In addition to desired structural properties, these electro- magnetic effective media can provide controlled response to electromagnetic radiation such as RF communication signals, radar, and/or infrared radiation. With the addition of dynamic components, these materials may be leveraged for active tasks such as filtering. The advantages of such hybrid composites include simplicity and weight savings by the combi- nation of electromagnetic functionality with necessary structural functionality. This integration of both electromagnetic and structural functionality throughout the volume of the composite is the distinguishing feature of our approach. As an example, we present a class of composites based on the integration of artificial plasmon media into polymer matrixes. Such composites can exhibit a broadband index of refraction substantially equal to unity at microwave frequencies and below. 1. INTRODUCTION Our work on multifunctional structural composites targets the integration of electromagnetic functionality into lightweight host structures and materials. Our goal is to develop practical models–analytical, computational and experimental–for the design of structural composites with controlled electromagnetic properties. The host composites have advantageous physical properties that we wish to retain while incorporating electromagnetic enhancements such as tunable index of refraction, RF absorption, and in the case of Left-handed materials, 1 negative index of refraction. These electromagnetic enhancements are produced by integrating periodic metal scattering structures with effective medium response properties at selectable RF frequencies.
  • Plasmonic and Metamaterial Structures As Electromagnetic Absorbers

    Plasmonic and Metamaterial Structures As Electromagnetic Absorbers

    Plasmonic and Metamaterial Structures as Electromagnetic Absorbers Yanxia Cui 1,2, Yingran He1, Yi Jin1, Fei Ding1, Liu Yang1, Yuqian Ye3, Shoumin Zhong1, Yinyue Lin2, Sailing He1,* 1 State Key Laboratory of Modern Optical Instrumentation, Centre for Optical and Electromagnetic Research, Zhejiang University, Hangzhou 310058, China 2 Key Lab of Advanced Transducers and Intelligent Control System, Ministry of Education and Shanxi Province, College of Physics and Optoelectronics, Taiyuan University of Technology, Taiyuan, 030024, China 3 Department of Physics, Hangzhou Normal University, Hangzhou 310012, China Corresponding author: e-mail [email protected] Abstract: Electromagnetic absorbers have drawn increasing attention in many areas. A series of plasmonic and metamaterial structures can work as efficient narrow band absorbers due to the excitation of plasmonic or photonic resonances, providing a great potential for applications in designing selective thermal emitters, bio-sensing, etc. In other applications such as solar energy harvesting and photonic detection, the bandwidth of light absorbers is required to be quite broad. Under such a background, a variety of mechanisms of broadband/multiband absorption have been proposed, such as mixing multiple resonances together, exciting phase resonances, slowing down light by anisotropic metamaterials, employing high loss materials and so on. 1. Introduction physical phenomena associated with planar or localized SPPs [13,14]. Electromagnetic (EM) wave absorbers are devices in Metamaterials are artificial assemblies of structured which the incident radiation at the operating wavelengths elements of subwavelength size (i.e., much smaller than can be efficiently absorbed, and then transformed into the wavelength of the incident waves) [15]. They are often ohmic heat or other forms of energy.
  • Dielectric Permittivity Model for Polymer–Filler Composite Materials by the Example of Ni- and Graphite-Filled Composites for High-Frequency Absorbing Coatings

    Dielectric Permittivity Model for Polymer–Filler Composite Materials by the Example of Ni- and Graphite-Filled Composites for High-Frequency Absorbing Coatings

    coatings Article Dielectric Permittivity Model for Polymer–Filler Composite Materials by the Example of Ni- and Graphite-Filled Composites for High-Frequency Absorbing Coatings Artem Prokopchuk 1,*, Ivan Zozulia 1,*, Yurii Didenko 2 , Dmytro Tatarchuk 2 , Henning Heuer 1,3 and Yuriy Poplavko 2 1 Institute of Electronic Packaging Technology, Technische Universität Dresden, 01069 Dresden, Germany; [email protected] 2 Department of Microelectronics, National Technical University of Ukraine, 03056 Kiev, Ukraine; [email protected] (Y.D.); [email protected] (D.T.); [email protected] (Y.P.) 3 Department of Systems for Testing and Analysis, Fraunhofer Institute for Ceramic Technologies and Systems IKTS, 01109 Dresden, Germany * Correspondence: [email protected] (A.P.); [email protected] (I.Z.); Tel.: +49-3514-633-6426 (A.P. & I.Z.) Abstract: The suppression of unnecessary radio-electronic noise and the protection of electronic devices from electromagnetic interference by the use of pliable highly microwave radiation absorbing composite materials based on polymers or rubbers filled with conductive and magnetic fillers have been proposed. Since the working frequency bands of electronic devices and systems are rapidly expanding up to the millimeter wave range, the capabilities of absorbing and shielding composites should be evaluated for increasing operating frequency. The point is that the absorption capacity of conductive and magnetic fillers essentially decreases as the frequency increases. Therefore, this Citation: Prokopchuk, A.; Zozulia, I.; paper is devoted to the absorbing capabilities of composites filled with high-loss dielectric fillers, in Didenko, Y.; Tatarchuk, D.; Heuer, H.; which absorption significantly increases as frequency rises, and it is possible to achieve the maximum Poplavko, Y.
  • Metamaterial Waveguides and Antennas

    Metamaterial Waveguides and Antennas

    12 Metamaterial Waveguides and Antennas Alexey A. Basharin, Nikolay P. Balabukha, Vladimir N. Semenenko and Nikolay L. Menshikh Institute for Theoretical and Applied Electromagnetics RAS Russia 1. Introduction In 1967, Veselago (1967) predicted the realizability of materials with negative refractive index. Thirty years later, metamaterials were created by Smith et al. (2000), Lagarkov et al. (2003) and a new line in the development of the electromagnetics of continuous media started. Recently, a large number of studies related to the investigation of electrophysical properties of metamaterials and wave refraction in metamaterials as well as and development of devices on the basis of metamaterials appeared Pendry (2000), Lagarkov and Kissel (2004). Nefedov and Tretyakov (2003) analyze features of electromagnetic waves propagating in a waveguide consisting of two layers with positive and negative constitutive parameters, respectively. In review by Caloz and Itoh (2006), the problems of radiation from structures with metamaterials are analyzed. In particular, the authors of this study have demonstrated the realizability of a scanning antenna consisting of a metamaterial placed on a metal substrate and radiating in two different directions. If the refractive index of the metamaterial is negative, the antenna radiates in an angular sector ranging from –90 ° to 0°; if the refractive index is positive, the antenna radiates in an angular sector ranging from 0° to 90° . Grbic and Elefttheriades (2002) for the first time have shown the backward radiation of CPW- based NRI metamaterials. A. Alu et al.(2007), leaky modes of a tubular waveguide made of a metamaterial whose relative permittivity is close to zero are analyzed.
  • High Q Tunable Filters

    High Q Tunable Filters

    High Q Tunable Filters by Fengxi Huang A thesis presented to the University of Waterloo in fulfillment of the thesis requirement for the degree of Doctor of Philosophy in Electrical and Computer Engineering Waterloo, Ontario, Canada, 2012 ©Fengxi Huang 2012 AUTHOR'S DECLARATION I hereby declare that I am the sole author of this thesis. This is a true copy of the thesis, including any required final revisions, as accepted by my examiners. I understand that my thesis may be made electronically available to the public. ii Abstract Microwave tunable filters are key components in radar, satellite, wireless, and various dynamic communication systems. Compared to a traditional filter, a tunable filter is able to dynamically pass the required signal and suppress the interference from adjacent channels. In reconfigurable systems, tunable filters are able to adapt to dynamic frequency selection and spectrum access. They can also adapt to bandwidth variations to maximize data transmission, and can minimize interferences from or to other users. Tunable filters can be also used to reduce size and cost in multi-band receivers replacing filter banks. However, the tunable filter often suffers limited application due to its relatively low Q, noticeable return loss degradation, and bandwidth changing during the filter tuning. The research objectives of this thesis are to investigate the feasibility of designing high Q tunable filters based on dielectric resonators (DR) and coaxial resonators. Various structures and tuning methods that yield relatively high unloaded Q tunable filters are explored and developed. Furthermore, the method of designing high Q tunable filters with a constant bandwidth and less degradation during the tuning process has been also investigated.
  • Electric Permittivity of Carbon Fiber

    Electric Permittivity of Carbon Fiber

    Carbon 143 (2019) 475e480 Contents lists available at ScienceDirect Carbon journal homepage: www.elsevier.com/locate/carbon Electric permittivity of carbon fiber * Asma A. Eddib, D.D.L. Chung Composite Materials Research Laboratory, Department of Mechanical and Aerospace Engineering, University at Buffalo, The State University of New York, Buffalo, NY, 14260-4400, USA article info abstract Article history: The electric permittivity is a fundamental material property that affects electrical, electromagnetic and Received 19 July 2018 electrochemical applications. This work provides the first determination of the permittivity of contin- Received in revised form uous carbon fibers. The measurement is conducted along the fiber axis by capacitance measurement at 25 October 2018 2 kHz using an LCR meter, with a dielectric film between specimen and electrode (necessary because an Accepted 11 November 2018 LCR meter is not designed to measure the capacitance of an electrical conductor), and with decoupling of Available online 19 November 2018 the contributions of the specimen volume and specimen-electrode interface to the measured capaci- tance. The relative permittivity is 4960 ± 662 and 3960 ± 450 for Thornel P-100 (more graphitic) and Thornel P-25 fibers (less graphitic), respectively. These values are high compared to those of discon- tinuous carbons, such as reduced graphite oxide (relative permittivity 1130), but are low compared to those of steels, which are more conductive than carbon fibers. The high permittivity of carbon fibers compared to discontinuous carbons is attributed to the continuity of the fibers and the consequent substantial distance that the electrons can move during polarization. The P-100/P-25 permittivity ratio is 1.3, whereas the P-100/P-25 conductivity ratio is 67.
  • Metamaterials and the Landau–Lifshitz Permeability Argument: Large Permittivity Begets High-Frequency Magnetism

    Metamaterials and the Landau–Lifshitz Permeability Argument: Large Permittivity Begets High-Frequency Magnetism

    Metamaterials and the Landau–Lifshitz permeability argument: Large permittivity begets high-frequency magnetism Roberto Merlin1 Department of Physics, University of Michigan, Ann Arbor, MI 48109-1040 Edited by Federico Capasso, Harvard University, Cambridge, MA, and approved December 4, 2008 (received for review August 26, 2008) Homogeneous composites, or metamaterials, made of dielectric or resonators, have led to a large body of literature devoted to metallic particles are known to show magnetic properties that con- metamaterials magnetism covering the range from microwave to tradict arguments by Landau and Lifshitz [Landau LD, Lifshitz EM optical frequencies (12–16). (1960) Electrodynamics of Continuous Media (Pergamon, Oxford, UK), Although the magnetic behavior of metamaterials undoubt- p 251], indicating that the magnetization and, thus, the permeability, edly conforms to Maxwell’s equations, the reason why artificial loses its meaning at relatively low frequencies. Here, we show that systems do better than nature is not well understood. Claims of these arguments do not apply to composites made of substances with ͌ ͌ strong magnetic activity are seemingly at odds with the fact that, Im ␧S ϾϾ ␭/ഞ or Re ␧S ϳ ␭/ഞ (␧S and ഞ are the complex permittivity ␭ ϾϾ ഞ other than magnetically ordered substances, magnetism in na- and the characteristic length of the particles, and is the ture is a rather weak phenomenon at ambient temperature.* vacuum wavelength). Our general analysis is supported by studies Moreover, high-frequency magnetism ostensibly contradicts of split rings, one of the most common constituents of electro- well-known arguments by Landau and Lifshitz that the magne- magnetic metamaterials, and spherical inclusions.
  • A Centrality Measure for Electrical Networks

    A Centrality Measure for Electrical Networks

    Carnegie Mellon Electricity Industry Center Working Paper CEIC-07 www.cmu.edu/electricity 1 A Centrality Measure for Electrical Networks Paul Hines and Seth Blumsack types of failures. Many classifications of network structures Abstract—We derive a measure of “electrical centrality” for have been studied in the field of complex systems, statistical AC power networks, which describes the structure of the mechanics, and social networking [5,6], as shown in Figure 2, network as a function of its electrical topology rather than its but the two most fruitful and relevant have been the random physical topology. We compare our centrality measure to network model of Erdös and Renyi [7] and the “small world” conventional measures of network structure using the IEEE 300- bus network. We find that when measured electrically, power model inspired by the analyses in [8] and [9]. In the random networks appear to have a scale-free network structure. Thus, network model, nodes and edges are connected randomly. The unlike previous studies of the structure of power grids, we find small-world network is defined largely by relatively short that power networks have a number of highly-connected “hub” average path lengths between node pairs, even for very large buses. This result, and the structure of power networks in networks. One particularly important class of small-world general, is likely to have important implications for the reliability networks is the so-called “scale-free” network [10, 11], which and security of power networks. is characterized by a more heterogeneous connectivity. In a Index Terms—Scale-Free Networks, Connectivity, Cascading scale-free network, most nodes are connected to only a few Failures, Network Structure others, but a few nodes (known as hubs) are highly connected to the rest of the network.
  • Numerical Modelling of VLF Radio Wave Propagation Through Earth-Ionosphere Waveguide and Its Application to Sudden Ionospheric Disturbances

    Numerical Modelling of VLF Radio Wave Propagation Through Earth-Ionosphere Waveguide and Its Application to Sudden Ionospheric Disturbances

    Numerical Modelling of VLF Radio Wave Propagation through Earth-Ionosphere Waveguide and its application to Sudden Ionospheric istur!ances Thesis submitted for the degree of octor of Philosoph# (Science% in Ph#sics (Theoretical) of the &niversity of 'alcutta Su(a# Pal Ma#8, )*+, CERTIFICATE FROM THE SUPERVISOR This is to certify that the thesis entitled "Numerical Modelling of VLF Radio Wave Propagation through Earth-Ionosphere waveguide and its application to !udden Ionospheric Distur#ances", submitted by Mr. Sujay Pal who got his name registered on $%&$'&%$(( for the award of Ph.D. )!cience* degree of the Universit, of Calcutta. absolutely based upon his own work under the supervision of Professor !andip K. Cha0ra#arti and that neither this thesis nor any part of it has been submitted for any degree/diploma or any other academic award anywhere before. Prof. !andip K. -ha0ra#arti Senior Professor & Head Department of #strophysics & Cosmology S. N. Bose National Centre for Basic Sciences JD Block, Sector())), Salt *ake, +olkata 7---./, India TO My PARENTS i ABSTRACT Very Low Frequency (VLF) radio waves with frequency in the range 3 30 kHz ∼ propagate within the Earth-ionosphere waveguide (EIWG) for#ed $y the Earth as the %ower $oundary and the %ower ionosphere (50 100 k#) as the upper $oundary ∼ of the waveguide. These waves are generated from #an-#ade transmitters as wel% as fro# lightnings or other natura% sources( *tudy of these waves is very i#portant since they are the only tool to diagnose the %ower ionosphere( Lower part of the Earth+s ionosphere ranging &0 90 km is known as the -- ∼ region of the ionosphere( *olar Lyman-α radiation at '.'./ n# and EUV radiation in 80 '''.& n# are #ain%y responsib%e for for#ing the --region through the ∼ ionization of 123N 23O 2 during day time( The VLF propagation takes p%ace $etween the Earth+s surface and the --region at the day time.
  • Electrical Impedance Tomography

    Electrical Impedance Tomography

    INSTITUTE OF PHYSICS PUBLISHING INVERSE PROBLEMS Inverse Problems 18 (2002) R99–R136 PII: S0266-5611(02)95228-7 TOPICAL REVIEW Electrical impedance tomography Liliana Borcea Computational and Applied Mathematics, MS 134, Rice University, 6100 Main Street, Houston, TX 77005-1892, USA E-mail: [email protected] Received 16 May 2002, in final form 4 September 2002 Published 25 October 2002 Online at stacks.iop.org/IP/18/R99 Abstract We review theoretical and numerical studies of the inverse problem of electrical impedance tomographywhich seeks the electrical conductivity and permittivity inside a body, given simultaneous measurements of electrical currents and potentials at the boundary. (Some figures in this article are in colour only in the electronic version) 1. Introduction Electrical properties such as the electrical conductivity σ and the electric permittivity , determine the behaviour of materials under the influence of external electric fields. For example, conductive materials have a high electrical conductivity and both direct and alternating currents flow easily through them. Dielectric materials have a large electric permittivity and they allow passage of only alternating electric currents. Let us consider a bounded, simply connected set ⊂ Rd ,ford 2and, at frequency ω, let γ be the complex admittivity function √ γ(x,ω)= σ(x) +iω(x), where i = −1. (1.1) The electrical impedance is the inverse of γ(x) and it measures the ratio between the electric field and the electric current at location x ∈ .Electrical impedance tomography (EIT) is the inverse problem of determining the impedance in the interior of ,givensimultaneous measurements of direct or alternating electric currents and voltages at the boundary ∂.
  • Nonreciprocal Wavefront Engineering with Time-Modulated Gradient Metasurfaces J

    Nonreciprocal Wavefront Engineering with Time-Modulated Gradient Metasurfaces J

    Nonreciprocal Wavefront Engineering with Time-Modulated Gradient Metasurfaces J. W. Zang1,2, D. Correas-Serrano1, J. T. S. Do1, X. Liu1, A. Alvarez-Melcon1,3, J. S. Gomez-Diaz1* 1Department of Electrical and Computer Engineering, University of California Davis One Shields Avenue, Kemper Hall 2039, Davis, CA 95616, USA. 2School of Information and Electronics, Beijing Institute of Technology, Beijing 100081, China 3 Universidad Politécnica de Cartagena, 30202 Cartagena, Spain *E-mail: [email protected] We propose a paradigm to realize nonreciprocal wavefront engineering using time-modulated gradient metasurfaces. The essential building block of these surfaces is a subwavelength unit-cell whose reflection coefficient oscillates at low frequency. We demonstrate theoretically and experimentally that such modulation permits tailoring the phase and amplitude of any desired nonlinear harmonic and determines the behavior of all other emerging fields. By appropriately adjusting the phase-delay applied to the modulation of each unit-cell, we realize time-modulated gradient metasurfaces that provide efficient conversion between two desired frequencies and enable nonreciprocity by (i) imposing drastically different phase-gradients during the up/down conversion processes; and (ii) exploiting the interplay between the generation of certain nonlinear surface and propagative waves. To demonstrate the performance and broad reach of the proposed platform, we design and analyze metasurfaces able to implement various functionalities, including beam steering and focusing, while exhibiting strong and angle-insensitive nonreciprocal responses. Our findings open a new direction in the field of gradient metasurfaces, in which wavefront control and magnetic-free nonreciprocity are locally merged to manipulate the scattered fields. 1. Introduction Gradient metasurfaces have enabled the control of electromagnetic waves in ways unreachable with conventional materials, giving rise to arbitrary wavefront shaping in both near- and far-fields [1-6].