A Dielectric Invisibility Carpet

Size: px
Start display at page:

Download "A Dielectric Invisibility Carpet"

Transcription

1 A Dielectric Invisibility Carpet Jensen Li Prof. Xiang Zhang s Research Group Nanoscale Science and Engineering Center (NSEC) University of California at Berkeley, USA CLK08-09/22/2008 Presented at Center for Scientific Computation and Mathematical Modeling, University of Maryland, College Park Theory developed with Sir John Pendry, Imperial College London, UK

2 Invisibility Carpet Conceal an object on the ground Work for optical frequencies Can be made from dielectrics practical for experiments Profile of cloak Simulation Object

3 Metamaterials fabricated in Xlab xlab.me.berkeley.edu

4 k A Negative Index Material by Fishnet Thick Metal Strips Thin Metal Wires Fishnet H E C L L L L L C L Magnetic Electric Combined Dispersion Dispersion Dispersion J. Valentine, et. al., Nature 455, 376 (2008).

5 Optical Negative Refraction in Bulk Metamaterials Made of Metallic Nanowires 500nm J. Yao, et. al., Science 321, 930 (2008).

6 Outline Cloaking and Transformation Optics Limitation of Metamaterials with metals at Optical Frequencies Invisibility Carpet Compress object to flat conducting sheet Design using quasi-conformal map A profile of ε>0, µ>0 without extreme values, easier to fabricate and broadband Full wave simulations

7 Cloaking guide light as desired, principle like mirage Coordinate Transform Maxwell Equation invariant Only material parameters (ε and µ) changed A controlled mirage ij ε µ ij ε = µ = 1, Virtual system Physical system Realization D Schurig, et. al., Science 314, 977 (2006).

8 Race to lower loss near optical frequency Gold nanorods pair Fishnet Resonating element giving rise to both electric magnetic response n = - 0.3, F = n /n = 0.1 at 1.5µm n = - 1, F = n /n = 3 at 1.5 µm n = - 0.6, F = n /n = 0.5 at 780nm 3D Fishnet n = , F = n /n = 3.5 at 1.8 µm Reasons of high loss Resonant nature of the structure Very near to magnetic resonance V M Shalaev, et. al., Opt. Lett. 30, 3356 (2005). G Dolling, et. al., Opt. Lett. 32, 53 (2007). J. Valentine, et. al., Nature 455, 376 (2008).

9 Avoid Magnetic resonance for cloaking at optical Ag nanowires in Silica Reduced parameter approximation: ( ε, ε, µ ) ( ε µ, ε µ,1) Size of unit cell ~ 100 nm, 632.8nm non-magnetic metamaterials in reduced material parameters θ r θ r TM, reduced parameters W Cai, et. al., Nature Photonics 1, 224 (2007).

10 At optical frequencies Metamaterials (resonating elements) Advantage: large range of material parameters Disadvantage: Elements subwavelength, absorption Dielectrics (far away from resonance) Low absorption, easy to fabricate Broadband: Frequency independent

11 Limitation of Dielectrics Limited anisotropy for fixed permittivities εθ = f ε1 + ( 1 f ) ε 2 1/ ε = f / ε + ( 1 f ) / ε 2.0 r ε 1 ε ε θ ε r ε θ /ε r f Extreme permittivities needed for large anisotropy ε = 0.05, ε = 8 from Y. Huang, et.al., Opt. Exp Extreme values related to the topology of cloak - how we crush an object

12 Three ways to crush an object Crushing an object into a point, a line or a plane 3D Spherical Cloak Singular 2D Cylind. Cloak Singular Carpet Cloak Non-Singular

13 Hiding under a carpet Perceived as a flat ground plane Avoid singular/extreme values for ε and µ h η or ξ 2 virtual system y physical system H y 0 H x ξ or ξ 1 E z Material parameters: µ, ε z w x object to conceal Minimize the anisotropy by an appropriate coordinate transformation

14 Transformation Optics E-polarization for 2D Material parameters: µ xx µ xy µ =, ε µ xy µ yy 2 µ ω E = ε E det µ c In general coordinates: ij 2 Ωµ E ω = ε E i ij j Ω q det ( Ωµ ) ξ c ij ij µ ( ξ ) = δ ε ( ξ ) = 1 ε and µ in ξ as if it is Cartesian ij ( x) ( x) T µ = SS / Ω ε = 1/ Ω H ξ 2 y H x E z ξ 1 ξ i r = Ω = ξ1 ξ2 = det S = det g µ ij ξ = ξ i µ ξ j ( ) i ξ ( ξ 1 ξ 2 ) General Coordinate:, g = ξ ξ ij i j S i j i x = j ξ

15 Local Dispersion Surface The contravariant tensor ij 2 Ωµ E ω = ε E i ij j Ω ξ det ( Ωµ ) ξ c with ij Local dispersion surface: γ ( ξ ) ki ( ξ ) k j ( ξ ) i ξ ω = c ik 2 i ( ) ( ) Contravariant I γ x = S γ ξ S = SS ij ij T T ij 1 1 Eigenvalues of γ :, n n ( x) 2 2 L T ξ i r = Ω = ξ1 ξ2 = det S = det g µ ij ξ = ξ i µ ξ j ( ) i ξ ( ξ 1 ξ 2 ) General Coordinate:, g = ξ ξ ij i j S i j i x = j ξ

16 Anisotropy at a single point Dispersion Surface: α = n T /n L measures the anisotropy n T *n L measures the size k ξ η ω k + = n n c 0 0 dη n 0 n 0 dξ k x' y' ω k + = n n c L T Anisotropy factor: ( n n n n ) α = max /, / dy' dy T L L T n T n L dx' dx η y ξ x

17 Quasiconformal map minimizes anisotropy Relationship between anisotropy factor and metric α = 1 α + = α ( nt nl nl nt ) Tr ( g ) max /, /. det g Minimizing anisotropy Modified Liao generator ( ) 1 w h Tr g Φ = d d hw ξ η 0 0 det g 2 g = ij T S S metric Jacobian upon slipping boundaries generates the quasi-conformal map which can minimize ( ) Tr g det g ( ) Tr g det g = max constant h. ξ 2 / η ξ-system in the whole domain x 2 /y 0 ξ 1 / ξ w x 1 /x x-system J. Thompson, Handbook of Grid Generation

18 Simple grid before minimization 1 Linear compression 1 η y 0 ξ 2 0 x 2 No singular values but still want smaller n T /n L α = n / n [ 1, 1.355] n n [ 1, 1.24] T L T L

19 Orthogonal Quasi-conformal map Anisotropy factor = constant cell aspect ratio η 1 1 y 0 ξ 2 α = n / n n n [ 0.56, 2.26] T L T 0 x 2 L

20 Properties of quasi-conformal map h Virtual domain Physical domain Properties Orthogonal w conformal module m = w/h Rectangular cell with constant aspect ratio M:m Anisotropy factor/ cell aspect ratio: α = M m 1 Conformal Map M (conformal module)

21 A carpet cloak using quasi-conformal map Principal axes always align to the grid lines Anisotropy generated by stack of two isotropic materials µ = µ ξ ξ / ξ + µ ξ ξ / ξ µ = α L L µ = 1/ α T T Isotropic Approximation y ε = = det g ξ ξ ε(r) ( µ, µ, ε ) T ( µ T µ L 1, µ T µ L 1, ε ) L y 1 ξ = = To be applied later for simplication x ξ 1 µ 1 µ

22 Ray tracing Geometrical optics limit

23 Further approximation to ease fabrication Reduced Parameter Approximation (Previous approaches) Need impedance match at outer boundary of cloak ( µ, µ, ε ) ( µ ε, µ ε,1) T L T L Isotropic Approximation (Our approach) Need to have a thicker coating ( µ T, µ L, ε ) ( µ T µ L = 1, µ T µ L = 1, ε )

24 Dielectric Invisibility Carpet n T /n L = α = 1.042, regarded as 1, i.e. µ = 1 ε = n T n L = 0.7 to 2.0, relative to background ε = 1.5 to 4.4 if SiO 2 is the background Cloak can be obtained by drilling holes in Si 1.5 y 1.0 ( ) ε r x y b ( x) ( π x ) 2 0.2cos / 2 1 x 3 = 0 otherwise

25 Cloak at oblique incidence angle Split into two separate beams without cloaking with Cloak E z Object w/o Cloak

26 An extreme test on the cloak Within a hollow waveguide (λ = 0.7) Near field pattern recovered (point source on the left) Squeezed upwards and without reflection Bump only Flat space Bump with Cloak E field pattern

27 Broadband Cloaking Small range of dielectric constant & little frequency dispersion Reflected Gaussian wave packet undistorted initial packet after some time with cloak w/o cloak

28 Take Home Messages An invisibility carpet compresses object to a thin plate Quasi-conformal map to minimize anisotropy Dielectric fabrication is possible thru isotropic approximation Broadband Cloaking is possible Manuscript available at arxiv:

Infrared carpet cloak designed with uniform silicon grating structure

Infrared carpet cloak designed with uniform silicon grating structure Infrared carpet cloak designed with uniform silicon grating structure Xiaofei Xu, Yijun Feng, Yu Hao, Juming Zhao, Tian Jiang Department of Electronic Science and Engineering, Nanjing Univerisity, Nanjing,

More information

Design method for quasi-isotropic transformation materials based on inverse Laplace s equation with sliding boundaries

Design method for quasi-isotropic transformation materials based on inverse Laplace s equation with sliding boundaries Design method for quasi-isotropic transformation materials based on inverse Laplace s equation with sliding boundaries Zheng Chang 1, Xiaoming Zhou 1, Jin Hu and Gengkai Hu 1* 1 School of Aerospace Engineering,

More information

Lecture #16. Spatial Transforms. Lecture 16 1

Lecture #16. Spatial Transforms. Lecture 16 1 ECE 53 1 st Century Electromagnetics Instructor: Office: Phone: E Mail: Dr. Raymond C. Rumpf A 337 (915) 747 6958 rcrumpf@utep.edu Lecture #16 Spatial ransforms Lecture 16 1 Lecture Outline ransformation

More information

Dielectric Optical Cloak

Dielectric Optical Cloak Dielectric Optical Cloak Jason Valentine 1 *, Jensen Li 1 *, Thomas Zentgraf 1 *, Guy Bartal 1 and Xiang Zhang 1,2 1 NSF Nano-scale Science and Engineering Center (NSEC), 3112 Etcheverry Hall, University

More information

UNIVERSITY OF LJUBLJANA FACULTY OF MATHEMATICS AND PHYSICS DEPARTMENT OF PHYSICS Seminar 2009/2010. Invisibility cloak

UNIVERSITY OF LJUBLJANA FACULTY OF MATHEMATICS AND PHYSICS DEPARTMENT OF PHYSICS Seminar 2009/2010. Invisibility cloak UNIVERSITY OF LJUBLJANA FACULTY OF MATHEMATICS AND PHYSICS DEPARTMENT OF PHYSICS Seminar 2009/2010 Invisibility cloak Matjaž Božič Mentor: Prof. dr. Rudolf Podgornik Date: Ljubljana, 2009 Abstract: When

More information

arxiv: v1 [physics.class-ph] 10 Feb 2009

arxiv: v1 [physics.class-ph] 10 Feb 2009 Ground-Plane Quasi-Cloaking for Free Space Efthymios Kallos, Christos Argyropoulos, and Yang Hao School of Electronic Engineering and Computer Science, Queen Mary University of London, Mile End Road, London,

More information

Guiding light with conformal transformations

Guiding light with conformal transformations Guiding light with conformal transformations Nathan I. Landy and Willie J. Padilla Department of Physics, Boston College, 140 Commonwealth Avenue, Chestnut Hill, MA 02467, USA *Willie.Padilla@bc.edu Abstract:

More information

Using transformation media to manipulate waves. C.T. Chan Hong Kong University of Science and Technology

Using transformation media to manipulate waves. C.T. Chan Hong Kong University of Science and Technology Using transformation media to manipulate waves C.T. Chan Hong Kong University of Science and Technology Collaborators Key contributor: Huanyang (Kenyon) Chen Ho Bou, Prof. WJ Wen s group: experimental

More information

Transformation Optics and Applications in Microwave Frequencies

Transformation Optics and Applications in Microwave Frequencies Progress In Electromagnetics Research, Vol. 149, 251 273, 2014 Transformation Optics and Applications in Microwave Frequencies Wei Xiang Jiang, Wen Xuan Tang, and Tie Jun Cui * (Invited Paper) Abstract

More information

Inside-out electromagnetic cloaking

Inside-out electromagnetic cloaking Inside-out electromagnetic cloaking Nina A. Zharova 1,2, Ilya V. Shadrivov 1, and Yuri S. Kivshar 1 1 Nonlinear Physics Center, Research School of Physical Sciences and Engineering, Australian National

More information

Cloaking The Road to Realization

Cloaking The Road to Realization Cloaking The Road to Realization by Reuven Shavit Electrical and Computer Engineering Department Ben-Gurion University of the Negev 1 Outline Introduction Transformation Optics Laplace s Equation- Transformation

More information

2 Transformation Optics

2 Transformation Optics 2 Transformation Optics Martin Wegener Abstract We briefly reviewed the concept of transformation optics for designing functionalities. We also gave recent experimental examples from different areas of

More information

Controlling elastic wave with isotropic transformation materials

Controlling elastic wave with isotropic transformation materials Controlling elastic wave with isotropic transformation materials Zheng Chang, Jin Hu, a, Gengkai Hu, b, Ran Tao and Yue Wang School of Aerospace Engineering, Beijing Institute of Technology, 0008,Beijing,

More information

Electromagnetic cloaking by layered structure of homogeneous isotropic materials

Electromagnetic cloaking by layered structure of homogeneous isotropic materials Electromagnetic cloaking by layered structure of homogeneous isotropic materials Ying Huang, Yijun Feng, Tian Jiang Department of Electronic Science and Engineering, Nanjing University, Nanjing, 210093,

More information

New Aspects of Old Equations: Metamaterials and Beyond (Part 2) 신종화 KAIST 물리학과

New Aspects of Old Equations: Metamaterials and Beyond (Part 2) 신종화 KAIST 물리학과 New Aspects of Old Equations: Metamaterials and Beyond (Part 2) 신종화 KAIST 물리학과 Metamaterial Near field Configuration in Periodic Structures New Material Material and Metamaterial Material Metamaterial

More information

Transforming Light with Metamaterials

Transforming Light with Metamaterials Vladimir M. Shalaev Purdue University Transforming Light with Metamaterials (with A.V. Kildishev, W. Cai, V.P. Drachev, S. Xiao, U. Chettiar) OUTLINE Metamagnetics across entire visible (from red to blue)

More information

Alternative approaches to electromagnetic cloaking and invisibility

Alternative approaches to electromagnetic cloaking and invisibility Helsinki University of Technology SMARAD Centre of Excellence Radio Laboratory Alternative approaches to electromagnetic cloaking and invisibility Sergei Tretyakov and colleagues December 2007 What is

More information

Electromagnetic Metamaterials

Electromagnetic Metamaterials Photonic Bandgap and Electromagnetic Metamaterials Andrew Kirk andrew.kirk@mcgill.ca ca Department of Electrical and Computer Engineering McGill Institute for Advanced Materials A Kirk 11/24/2008 Photonic

More information

Concealing arbitrary objects remotely with multi-folded transformation optics

Concealing arbitrary objects remotely with multi-folded transformation optics Concealing arbitrary objects remotely with multi-folded transformation optics B. Zheng 1, 2, 3, H. A. Madni 1, 2, 3, R. Hao 2, X. Zhang 2, X. Liu 1, E. Li 2* 1, 2, 3* and H. Chen 1 State Key Laboratory

More information

A Simple Unidirectional Optical Invisibility Cloak Made of Water

A Simple Unidirectional Optical Invisibility Cloak Made of Water Progress In Electromagnetics Research, Vol. 146, 1 5, 2014 A Simple Unidirectional Optical Invisibility Cloak Made of Water Bin Zheng 1, 2, Lian Shen 1, 2, Zuozhu Liu 1, 2, Huaping Wang 1, 3, *, Xianmin

More information

New Concept Conformal Antennas Utilizing Metamaterial and Transformation Optics

New Concept Conformal Antennas Utilizing Metamaterial and Transformation Optics New Concept Conformal Antennas Utilizing Metamaterial and Transformation Optics The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. Citation

More information

Optical Cloaking of a Spherical Shape. Creating an Illusion of Invisibility using Metamaterials April 1, 2010

Optical Cloaking of a Spherical Shape. Creating an Illusion of Invisibility using Metamaterials April 1, 2010 Optical Cloaking of a Spherical Shape Creating an Illusion of Invisibility using Metamaterials April 1, 2010 Optical Cloaking Authors: Amanda Booth David Dror Daniel Frasquillo Jaron Gubernick With thanks

More information

Design of invisibility cloaks for reduced observability of objects

Design of invisibility cloaks for reduced observability of objects ESTEC 13 June 2008 Design of invisibility cloaks for reduced observability of objects F. Bilotti, S. Tricarico, and L. Vegni University ROMA TRE, Italy Department of Applied Electronics Applied Electromagnetics

More information

Metamaterial Electromagnetic Cloak at Microwave Frequencies

Metamaterial Electromagnetic Cloak at Microwave Frequencies Metamaterial Electromagnetic Cloak at Microwave Frequencies D. Schurig, 1 J. J. Mock, 1 B. J. Justice, 1 S. A. Cummer, 1 J. B. Pendry, 2 A. F. Starr, 3 D. R. Smith 1 * 1 Department of Electrical and Computer

More information

Geometry & light:! the science of invisibility!! Ulf Leonhardt"! SCNU & Weizmann Institute!

Geometry & light:! the science of invisibility!! Ulf Leonhardt! SCNU & Weizmann Institute! " Geometry & light:! the science of invisibility!! Ulf Leonhardt"! SCNU & Weizmann Institute!! Geometry and Light! Review on transformation REVIEW ARTICLE optics! PUBLISHED ONLINE: 23 APRIL 2010 DOI: 10.1038/NMAT2743

More information

Plasmonic metamaterial cloaking at optical frequencies

Plasmonic metamaterial cloaking at optical frequencies Plasmonic metamaterial cloaking at optical frequencies F. Bilotti *, S. Tricarico, and L. Vegni Department of Applied Electronics, University Roma Tre Via della Vasca Navale 84, Rome 146, ITALY * Corresponding

More information

A Novel Design of Photonic Crystal Lens Based on Negative Refractive Index

A Novel Design of Photonic Crystal Lens Based on Negative Refractive Index PIERS ONLINE, VOL. 4, NO. 2, 2008 296 A Novel Design of Photonic Crystal Lens Based on Negative Refractive Index S. Haxha 1 and F. AbdelMalek 2 1 Photonics Group, Department of Electronics, University

More information

Birck Nanotechnology Center

Birck Nanotechnology Center Negative Refractive Index in Optics Negative refractive index: A historical review energy can be carried forward at the group velocity but in a direction that is anti-parallel to the phase velocity Schuster,

More information

Ideal and nonideal invisibility cloaks

Ideal and nonideal invisibility cloaks Ideal and nonideal invisibility cloaks Nina A. Zharova 1,2, Ilya V. Shadrivov 1, Alexander A. Zharov 1,3, and Yuri S. Kivshar 1 1 Nonlinear Physics Center, Research School of Physical Sciences and Engineering,

More information

Optical Cloaking with Non-Magnetic Metamaterials

Optical Cloaking with Non-Magnetic Metamaterials Optical Cloaking with Non-Magnetic Metamaterials Wenshan Cai, Uday K. Chettiar, Alexander V. Kildishev and Vladimir M. Shalaev School of Electrical and Computer Engineering and Birck Nanotechnology Center,

More information

Electromagnetic Enhancement in Lossy Optical. Transition Metamaterials

Electromagnetic Enhancement in Lossy Optical. Transition Metamaterials Electromagnetic Enhancement in Loss Optical Transition Metamaterials Irene Mozjerin 1, Tolana Gibson 1, Edward P. Furlani 2, Ildar R. Gabitov 3, Natalia M. Litchinitser 1* 1. The State Universit of New

More information

Gradient-index metamaterials and spoof surface plasmonic waveguide

Gradient-index metamaterials and spoof surface plasmonic waveguide Gradient-index metamaterials and spoof surface plasmonic waveguide Hui Feng Ma State Key Laboratory of Millimeter Waves Southeast University, Nanjing 210096, China City University of Hong Kong, 11 October

More information

Workshop on New Materials for Renewable Energy

Workshop on New Materials for Renewable Energy 2286-6 Workshop on New Materials for Renewable Energy 31 October - 11 November 201 Metamaterials: Past, Present, and Future Nonlinear Physics Centre Research School of Physics and Engineering The Australian

More information

From Active Metamaterials to Transformation Electromagnetics: AMULET from the academic's perspective

From Active Metamaterials to Transformation Electromagnetics: AMULET from the academic's perspective From Active Metamaterials to Transformation Electromagnetics: AMULET from the academic's perspective Khalid Z. Rajab and Yang Hao School of Electronic Engineering and Computer Science, Queen Mary University

More information

Design Method for Electromagnetic Cloak with Arbitrary Shapes Based on Laplace s Equation

Design Method for Electromagnetic Cloak with Arbitrary Shapes Based on Laplace s Equation Design Method for Electromagnetic Cloak with Arbitrary Shapes Based on Laplace s Equation Jin Hu, Xiaoming Zhou and Gengkai Hu * School of Science, Beijing Institute of Technology, Beijing 100081, P. R.

More information

Directive Emission Obtained by Coordinate Transformation

Directive Emission Obtained by Coordinate Transformation Directive Emission Obtained by Coordinate Transformation Jingjing Zhang 1, Yu Luo 1, Hongsheng Chen 1 2*, Lixin Ran 1, Bae-Ian Wu 2, and Jin Au Kong 1 2 1 The Electromagnetics Academy at Zhejiang University,

More information

Negative epsilon medium based optical fiber for transmission around UV and visible region

Negative epsilon medium based optical fiber for transmission around UV and visible region I J C T A, 9(8), 2016, pp. 3581-3587 International Science Press Negative epsilon medium based optical fiber for transmission around UV and visible region R. Yamuna Devi*, D. Shanmuga Sundar** and A. Sivanantha

More information

Modeling Invisibility by Optical Cloaking of a Sphere

Modeling Invisibility by Optical Cloaking of a Sphere Modeling Invisibility by Optical Cloaking of a Sphere Amanda Booth Daniel Frasquillo David Dror Jaron Gubernick Department of Mathematics University of Arizona May 11, 2010 Abstract Modeling invisibility,

More information

Transmission of electromagnetic waves through sub-wavelength channels

Transmission of electromagnetic waves through sub-wavelength channels Downloaded from orbit.dtu.dk on: Oct 05, 018 Transmission of electromagnetic waves through sub-wavelength channels Zhang, Jingjing; Luo, Yu; Mortensen, N. Asger Published in: Optics Express Link to article,

More information

Engineering Optical Space with Metamaterials: from Metamagnetics to Negative-Index and Cloaking

Engineering Optical Space with Metamaterials: from Metamagnetics to Negative-Index and Cloaking Metamaterials 2007, Rome European Doctoral School on Metamaterials Engineering Optical Space with Metamaterials: from Metamagnetics to Negative-Index and Cloaking Vladimir M. Shalaev School of Electrical

More information

Left-handed materials: Transfer matrix method studies

Left-handed materials: Transfer matrix method studies Left-handed materials: Transfer matrix method studies Peter Markos and C. M. Soukoulis Outline of Talk What are Metamaterials? An Example: Left-handed Materials Results of the transfer matrix method Negative

More information

Table of Contents. Summery Pages 1-2

Table of Contents. Summery Pages 1-2 Table of Contents Summery-------------------------------------------------------------------------------- Pages 1-2 Transformational Optics-------------------------------------------------------------

More information

Magnetic response of split-ring resonator metamaterials: From effective medium dispersion to photonic band gaps

Magnetic response of split-ring resonator metamaterials: From effective medium dispersion to photonic band gaps PRAMANA c Indian Academy of Sciences Vol. 78, No. 3 journal of March 2012 physics pp. 483 492 Magnetic response of split-ring resonator metamaterials: From effective medium dispersion to photonic band

More information

RECIPROCAL INVISIBLE CLOAK WITH HOMOGE- NEOUS METAMATERIALS

RECIPROCAL INVISIBLE CLOAK WITH HOMOGE- NEOUS METAMATERIALS Progress In Electromagnetics Research M, Vol. 21, 15 115, 211 RECIPROCAL INVISIBLE CLOAK WITH HOMOGE- NEOUS METAMATERIALS J. J. Yang, M. Huang *, Y. L. Li, T. H. Li, and J. Sun School of Information Science

More information

Arbitrary Patterning Techniques for Anisotropic Surfaces, and Line Waves

Arbitrary Patterning Techniques for Anisotropic Surfaces, and Line Waves Arbitrary Patterning Techniques for Anisotropic Surfaces, and Line Waves Dan Sievenpiper, Jiyeon Lee, and Dia a Bisharat January 11, 2016 1 Outline Arbitrary Anisotropic Surface Patterning Surface wave

More information

Cloaking and invisibility: A review

Cloaking and invisibility: A review Forum for Electromagnetic Research Methods and Application Technologies (FERMAT) Cloaking and invisibility: A review Romain Fleury (1) and Andrea Alù (1) (1) Department of Electrical and Computer Engineering,

More information

File Name: Supplementary Information Description: Supplementary Figures, Supplementary Table, Supplementary Notes and Supplementary References

File Name: Supplementary Information Description: Supplementary Figures, Supplementary Table, Supplementary Notes and Supplementary References Description of Supplementary Files File Name: Supplementary Information Description: Supplementary Figures, Supplementary Table, Supplementary Notes and Supplementary References Supplementary Figure 1.

More information

THE PENNSYLVANIA STATE UNIVERSITY SCHREYER HONORS COLLEGE DEPARTMENTS OF MATHEMATICS AND ELECTRICAL ENGINEERING

THE PENNSYLVANIA STATE UNIVERSITY SCHREYER HONORS COLLEGE DEPARTMENTS OF MATHEMATICS AND ELECTRICAL ENGINEERING THE PENNSYLVANIA STATE UNIVERSITY SCHREYER HONORS COLLEGE DEPARTMENTS OF MATHEMATICS AND ELECTRICAL ENGINEERING TRANSFORMATION OPTICS METHODOLOGY REVIEW AND ITS APPLICATION TO ANTENNA LENS DESIGNS BINGQIAN

More information

arxiv: v1 [physics.optics] 17 Jun 2007

arxiv: v1 [physics.optics] 17 Jun 2007 arxiv:0706.2452v [physics.optics] 7 Jun 2007 Design of Electromagnetic Cloaks and Concentrators Using Form-Invariant Coordinate Transformations of Maxwell s Equations Marco Rahm, David Schurig, Daniel

More information

Photonic/Plasmonic Structures from Metallic Nanoparticles in a Glass Matrix

Photonic/Plasmonic Structures from Metallic Nanoparticles in a Glass Matrix Excerpt from the Proceedings of the COMSOL Conference 2008 Hannover Photonic/Plasmonic Structures from Metallic Nanoparticles in a Glass Matrix O.Kiriyenko,1, W.Hergert 1, S.Wackerow 1, M.Beleites 1 and

More information

Sub-wavelength electromagnetic structures

Sub-wavelength electromagnetic structures Sub-wavelength electromagnetic structures Shanhui Fan, Z. Ruan, L. Verselegers, P. Catrysse, Z. Yu, J. Shin, J. T. Shen, G. Veronis Ginzton Laboratory, Stanford University http://www.stanford.edu/group/fan

More information

Novel antenna concepts via coordinate transformation

Novel antenna concepts via coordinate transformation ADVANCED ELECTROMAGNETICS, Vol., No. 1, February 13 Novel antenna concepts via coordinate transformation Paul-Henri Tichit, Shah Nawaz Burokur, Xinying Wu, Dylan Germain, André de Lustrac * IEF, Univ.

More information

Overview. 1. What range of ε eff, µ eff parameter space is accessible to simple metamaterial geometries? ``

Overview. 1. What range of ε eff, µ eff parameter space is accessible to simple metamaterial geometries? `` MURI-Transformational Electromagnetics Innovative use of Metamaterials in Confining, Controlling, and Radiating Intense Microwave Pulses University of New Mexico August 21, 2012 Engineering Dispersive

More information

The Mathematics of Invisibility: Cloaking Devices, Electromagnetic Wormholes, and Inverse Problems. Lectures 1-2

The Mathematics of Invisibility: Cloaking Devices, Electromagnetic Wormholes, and Inverse Problems. Lectures 1-2 CSU Graduate Workshop on Inverse Problems July 30, 2007 The Mathematics of Invisibility: Cloaking Devices, Electromagnetic Wormholes, and Inverse Problems Lectures 1-2 Allan Greenleaf Department of Mathematics,

More information

Cloaking and Invisibility: A Review

Cloaking and Invisibility: A Review Progress In Electromagnetics Research, Vol. 147, 171 202, 2014 Cloaking and Invisibility: A Review Romain Fleury and Andrea Alù * (Invited Review) Abstract Invisibility has been a tantalizing concept for

More information

limitations J. Zhou, E. N. Economou and C. M. Soukoulis

limitations J. Zhou, E. N. Economou and C. M. Soukoulis Mesoscopic Physics in Complex Media, 01011 (010) DOI:10.1051/iesc/010mpcm01011 Owned by the authors, published by EDP Sciences, 010 Optical metamaterials: Possibilities and limitations M. Kafesaki, R.

More information

From optical graphene to topological insulator

From optical graphene to topological insulator From optical graphene to topological insulator Xiangdong Zhang Beijing Institute of Technology (BIT), China zhangxd@bit.edu.cn Collaborator: Wei Zhong (PhD student, BNU) Outline Background: From solid

More information

Super-reflection and Cloaking Based on Zero Index Metamaterial

Super-reflection and Cloaking Based on Zero Index Metamaterial Super-reflection and Cloaking Based on Zero Index Metamaterial Jiaming Hao, Wei Yan, and Min Qiu Photonics and Microwave ngineering, Royal Institute of Technology (KTH), lectrum 9, 164 4, Kista, Sweden

More information

Coherent thermal emission by excitation of magnetic polaritons between periodic strips and a metallic film

Coherent thermal emission by excitation of magnetic polaritons between periodic strips and a metallic film Coherent thermal emission by excitation of magnetic polaritons between periodic strips and a metallic film B. J. Lee, L. P. Wang, and Z. M. Zhang George W. Woodruff School of Mechanical Engineering Georgia

More information

Symmetry Breaking and Optical Negative Index of Closed Nanorings

Symmetry Breaking and Optical Negative Index of Closed Nanorings Supplementary Information Symmetry Breaking and Optical Negative Index of Closed Nanorings Boubacar Kanté 1, Yong-Shik Park 1, Kevin O Brien 1, Daniel Shuldman 1, Norberto D. Lanzillotti Kimura 1, Zi Jing

More information

Progress In Electromagnetics Research, PIER 97, , 2009

Progress In Electromagnetics Research, PIER 97, , 2009 Progress In Electromagnetics Research, PIER 97, 407 416, 2009 PRACTICAL LIMITATIONS OF AN INVISIBILITY CLOAK B. L. Zhang Research Laboratory of Electronics Massachusetts Institute of Technology MA 02139,

More information

Dr. Tao Li

Dr. Tao Li Tao Li taoli@nju.edu.cn Nat. Lab. of Solid State Microstructures Department of Materials Science and Engineering Nanjing University Concepts Basic principles Surface Plasmon Metamaterial Summary Light

More information

Routing of Deep-Subwavelength Optical Beams and Images without Reflection and Diffraction Using Infinitely Anisotropic Metamaterials

Routing of Deep-Subwavelength Optical Beams and Images without Reflection and Diffraction Using Infinitely Anisotropic Metamaterials Peter B. Catrysse * and Shanhui Fan Routing of Deep-Subwavelength Optical Beams and Images without Reflection and Diffraction Using Infinitely Anisotropic Metamaterials Media that are described by extreme

More information

Photonics Beyond Diffraction Limit:

Photonics Beyond Diffraction Limit: Photonics Beyond Diffraction Limit: Plasmon Cavity, Waveguide and Lasers Xiang Zhang University of California, Berkeley Light-Matter Interaction: Electrons and Photons Photons Visible / IR ~ 1 m Electrons

More information

Negative Refraction & the Perfect Lens

Negative Refraction & the Perfect Lens Negative Refraction & the Perfect Lens JB Pendry The Blackett Laboratory, Imperial College London http://www.cmth.ph.ic.ac.uk/photonics/ Some Reviews Controlling Electromagnetic Fields Science 312 1780-2

More information

Translation and Rotation of Transformation Media under Electromagnetic Pulse

Translation and Rotation of Transformation Media under Electromagnetic Pulse Translation and Rotation of Transformation Media under Electromagnetic Pulse Fei Gao 1, Xihang Shi 1, Xiao Lin 1,3, Hongyi Xu 1, Baile Zhang 1,2, * 1. Division of Physics and Applied Physics, School of

More information

Noise Shielding Using Acoustic Metamaterials

Noise Shielding Using Acoustic Metamaterials Commun. Theor. Phys. (Beijing, China) 53 (2010) pp. 560 564 c Chinese Physical Society and IOP Publishing Ltd Vol. 53, No. 3, March 15, 2010 Noise Shielding Using Acoustic Metamaterials LIU Bin ( Ê) and

More information

Creation of Ghost Illusions Using Metamaterials in Wave Dynamics

Creation of Ghost Illusions Using Metamaterials in Wave Dynamics Creation of Ghost Illusions Using Metamaterials in Wave Dynamics By Wei Xiang Jiang, Cheng-Wei Qiu*, Tiancheng Han, Shuang Zhang, and Tie Jun Cui* (W.X.J. and C.W.Q. contributed equally) Prof. Tie Jun

More information

Negative index metamaterial combining magnetic resonators with metal films

Negative index metamaterial combining magnetic resonators with metal films Negative index metamaterial combining magnetic resonators with metal films Uday K. Chettiar, Alexander V. Kildishev, Thomas A. Klar, and Vladimir M. Shalaev Birck Nanotechnology Center, Purdue University,

More information

An efficient way to reduce losses of left-handed metamaterials

An efficient way to reduce losses of left-handed metamaterials An efficient way to reduce losses of left-handed metamaterials Jiangfeng Zhou 1,2,, Thomas Koschny 1,3 and Costas M. Soukoulis 1,3 1 Ames Laboratory and Department of Physics and Astronomy,Iowa State University,

More information

Nanoscale optical circuits: controlling light using localized surface plasmon resonances

Nanoscale optical circuits: controlling light using localized surface plasmon resonances Nanoscale optical circuits: controlling light using localized surface plasmon resonances T. J. Davis, D. E. Gómez and K. C. Vernon CSIRO Materials Science and Engineering Localized surface plasmon (LSP)

More information

Designing of a simulation software for acoustical layout and shape optimization of new materials for diffusers in room acoustics and architecture

Designing of a simulation software for acoustical layout and shape optimization of new materials for diffusers in room acoustics and architecture Designing of a simulation software for acoustical layout and shape optimization of new materials for diffusers in room acoustics and architecture Dr.-Ing. Marco Norambuena, Prof. Dr.-Ing. Martin Ochmann,

More information

On Approximate Cloaking by Nonsingular Transformation Media

On Approximate Cloaking by Nonsingular Transformation Media On Approximate Cloaking by Nonsingular Transformation Media TING ZHOU MIT Geometric Analysis on Euclidean and Homogeneous Spaces January 9, 2012 Invisibility and Cloaking From Pendry et al s paper J. B.

More information

A Review of Metamaterial Invisibility Cloaks

A Review of Metamaterial Invisibility Cloaks Copyright 2013 Tech Science Press CMC, vol.33, no.3, pp.275-308, 2013 A Review of Metamaterial Invisibility Cloaks Balamati Choudhury 1, R. M. Jha 1 Abstract: The exciting features of metamaterial in conjunction

More information

A Broadband Flexible Metamaterial Absorber Based on Double Resonance

A Broadband Flexible Metamaterial Absorber Based on Double Resonance Progress In Electromagnetics Research Letters, Vol. 46, 73 78, 2014 A Broadband Flexible Metamaterial Absorber Based on Double Resonance ong-min Lee* Abstract We present a broadband microwave metamaterial

More information

Spherical cloaking using nonlinear transformations for improved segmentation into concentric isotropic coatings

Spherical cloaking using nonlinear transformations for improved segmentation into concentric isotropic coatings Spherical cloaking using nonlinear transformations for improved segmentation into concentric isotropic coatings The MIT Faculty has made this article openly available. Please share how this access benefits

More information

Reversed Cherenkov Radiation in Left Handed Meta material Lecture, Nov 21, 2012 Prof. Min Chen

Reversed Cherenkov Radiation in Left Handed Meta material Lecture, Nov 21, 2012 Prof. Min Chen Reversed Cherenkov Radiation in Left Handed Meta material 8.07 Lecture, Nov 21, 2012 Prof. Min Chen 1 8.07 is not just an abstract theory; it is a tool which can be applied to change the world around you.

More information

Research on the Wide-angle and Broadband 2D Photonic Crystal Polarization Splitter

Research on the Wide-angle and Broadband 2D Photonic Crystal Polarization Splitter Progress In Electromagnetics Research Symposium 2005, Hangzhou, China, August 22-26 551 Research on the Wide-angle and Broadband 2D Photonic Crystal Polarization Splitter Y. Y. Li, P. F. Gu, M. Y. Li,

More information

Metamaterials for Space Applications

Metamaterials for Space Applications Metamaterials for Space Applications Manipulation of Lightwave Through Coordinate Transformation Final Report Authors: Min Qiu, Min Yan, and Wei Yan Affiliation: Department of Microelectronics and Applied

More information

Experimental demonstration of an ultra-thin. three-dimensional thermal cloak

Experimental demonstration of an ultra-thin. three-dimensional thermal cloak Experimental demonstration of an ultra-thin three-dimensional thermal cloak Hongyi Xu 1, Xihang Shi 1, Fei Gao 1, Handong Sun 1,2, *, Baile Zhang 1,2, * 1. Division of Physics and Applied Physics, School

More information

Light Manipulation by Metamaterials

Light Manipulation by Metamaterials Light Manipulation by Metamaterials W. J. Sun, S. Y. Xiao, Q. He*, L. Zhou Physics Department, Fudan University, Shanghai 200433, China *Speaker: qionghe@fudan.edu.cn 2011/2/19 Outline Background of metamaterials

More information

Tensor Visualization. CSC 7443: Scientific Information Visualization

Tensor Visualization. CSC 7443: Scientific Information Visualization Tensor Visualization Tensor data A tensor is a multivariate quantity Scalar is a tensor of rank zero s = s(x,y,z) Vector is a tensor of rank one v = (v x,v y,v z ) For a symmetric tensor of rank 2, its

More information

Negative refractive index response of weakly and strongly coupled optical metamaterials.

Negative refractive index response of weakly and strongly coupled optical metamaterials. Negative refractive index response of weakly and strongly coupled optical metamaterials. Jiangfeng Zhou, 1 Thomas Koschny, 1, Maria Kafesaki, and Costas M. Soukoulis 1, 1 Ames Laboratory and Department

More information

Analysis of Metamaterial Cloaks Using Circular Split Ring Resonator Structures

Analysis of Metamaterial Cloaks Using Circular Split Ring Resonator Structures Copyright 216 Tech Science Press CMC, Vol.53, No.3, pp.132-14, 216 Analysis of Metamaterial Cloaks Using Circular Split Ring Resonator Structures Susan Thomas 1 and Dr. Balamati Choudhury 2 Abstract A

More information

Three-Dimensional Broadband Omnidirectional Acoustic Ground Cloak

Three-Dimensional Broadband Omnidirectional Acoustic Ground Cloak Three-Dimensional Broadband Omnidirectional Acoustic Ground Cloak Lucian Zigoneanu, 1 Bogdan-Ioan Popa, 1 and Steven A. Cummer 1, 1 Department of Electrical and Computer Engineering, Duke University, North

More information

EPSILON-NEAR-ZERO (ENZ) AND MU-NEAR-ZERO (MNZ) MATERIALS

EPSILON-NEAR-ZERO (ENZ) AND MU-NEAR-ZERO (MNZ) MATERIALS EPSILON-NEAR-ZERO (ENZ) AND MU-NEAR-ZERO (MNZ) MATERIALS SARAH NAHAR CHOWDHURY PURDUE UNIVERSITY 1 Basics Design ENZ Materials Lumped circuit elements Basics Decoupling Direction emission Tunneling Basics

More information

Towards optical left-handed metamaterials

Towards optical left-handed metamaterials FORTH Tomorrow: Modelling approaches for metamaterials Towards optical left-handed metamaterials M. Kafesaki, R. Penciu, Th. Koschny, P. Tassin, E. N. Economou and C. M. Soukoulis Foundation for Research

More information

B. Zhu, Z. Wang, C. Huang, Y. Feng, J. Zhao, and T. Jiang Department of Electronic Science and Engineering Nanjing University Nanjing , China

B. Zhu, Z. Wang, C. Huang, Y. Feng, J. Zhao, and T. Jiang Department of Electronic Science and Engineering Nanjing University Nanjing , China Progress In Electromagnetics Research, PIER 101, 231 239, 2010 POLARIZATION INSENSITIVE METAMATERIAL ABSORBER WITH WIDE INCIDENT ANGLE B. Zhu, Z. Wang, C. Huang, Y. Feng, J. Zhao, and T. Jiang Department

More information

Two-dimensional Cross Embedded Metamaterials

Two-dimensional Cross Embedded Metamaterials PIERS ONLINE, VOL. 3, NO. 3, 7 4 Two-dimensional Cross Embedded Metamaterials J. Zhang,, H. Chen,, L. Ran,, Y. Luo,, and J. A. Kong,3 The Electromagentics Academy at Zhejiang University, Zhejiang University

More information

Differential Form Approach to the Analysis of Electromagnetic Cloaking and Masking

Differential Form Approach to the Analysis of Electromagnetic Cloaking and Masking MOTL DRAFT 1 Differential Form Approach to the Analysis of Electromagnetic Cloaking and Masking F. L. Teixeira Abstract We bring attention to the relationship between (1) electromagnetic masking or cloaking

More information

Homogenous Optic-Null Medium Performs as Optical Surface Transformation

Homogenous Optic-Null Medium Performs as Optical Surface Transformation Progress In Electromagnetics Research, Vol. 151, 169 173, 2015 Homogenous Optic-Null Medium Performs as Optical Surface Transformation Fei Sun 1 and Sailing He1, 2, * Abstract An optical surface transformation

More information

Demonstration of Near-Infrared Negative-Index Materials

Demonstration of Near-Infrared Negative-Index Materials Demonstration of Near-Infrared Negative-Index Materials Shuang Zhang 1, Wenjun Fan 1, N. C. Panoiu 2, K. J. Malloy 1, R. M. Osgood 2 and S. R. J. Brueck 2 1. Center for High Technology Materials and Department

More information

Electromagnetism II Lecture 7

Electromagnetism II Lecture 7 Electromagnetism II Lecture 7 Instructor: Andrei Sirenko sirenko@njit.edu Spring 13 Thursdays 1 pm 4 pm Spring 13, NJIT 1 Previous Lecture: Conservation Laws Previous Lecture: EM waves Normal incidence

More information

A Review of Metamaterial Invisibility Cloaks

A Review of Metamaterial Invisibility Cloaks A Review of Metamaterial Invisibility Cloaks Balamati Choudhury 1 and R. M. Jha Abstract The exciting features of metamaterial in conjunction with transformation optics leads to various applications in

More information

arxiv: v1 [physics.optics] 19 Jun 2008

arxiv: v1 [physics.optics] 19 Jun 2008 arxiv:0806.3231v1 [physics.optics] 19 Jun 2008 Necessary and sufficient conditions for reflectionless transformation media in an isotropic and homogenous background Wei Yan, Min Yan, Min Qiu Laboratory

More information

SUPPLEMENTARY FIGURES

SUPPLEMENTARY FIGURES SUPPLEMENTARY FIGURES Supplementary Figure 1. Projected band structures for different coupling strengths. (a) The non-dispersive quasi-energy diagrams and (b) projected band structures for constant coupling

More information

arxiv: v2 [physics.optics] 30 Apr 2010

arxiv: v2 [physics.optics] 30 Apr 2010 An electromagnetic black hole made of metamaterials arxiv:0910.2159v2 [physics.optics] 30 Apr 2010 Qiang Cheng, Tie Jun Cui, Wei Xiang Jiang and Ben Geng Cai State Key Laboratory of Millimeter Waves, Department

More information

We are IntechOpen, the world s leading publisher of Open Access books Built by scientists, for scientists. International authors and editors

We are IntechOpen, the world s leading publisher of Open Access books Built by scientists, for scientists. International authors and editors We are IntechOpen, the world s leading publisher of Open Access books Built by scientists, for scientists 3,900 116,000 120M Open access books available International authors and editors Downloads Our

More information

Experimental demonstration of non-magnetic metamaterial cloak at microwave frequencies

Experimental demonstration of non-magnetic metamaterial cloak at microwave frequencies Experimental demonstration of non-magnetic metamaterial cloak at microwave frequencies Boubacar Kanté*, Dylan Germain, and André de Lustrac Institut d Electronique Fondamentale, Université Paris-Sud, CNRS

More information

Johnson, N.P. and Khokhar, A.Z. and Chong, H.M.H. and De La Rue, R.M. and McMeekin, S. (2006) Characterisation at infrared wavelengths of metamaterials formed by thin-film metallic split-ring resonator

More information