Sub-wavelength waveguide loaded by a complementary electric metamaterial for vacuum electron devices
Abstract
This work reviews the electromagnetic properties of a waveguide loaded by complementary electric split ring resonators (CeSRRs) and the application of the waveguide in vacuum electronics. The S-parameters of the CeSRRs in free space are calculated using the HFSS code and are used to retrieve the effective permittivity and permeability in an effective medium theory. The dispersion relation of a waveguide loaded with the CeSRRs is calculated by two methods: by direct calculation with HFSS and by calculation with the effective medium theory; the results are in good agreement. An improved agreement is obtained using a fitting procedure for the permittivity tensor in the effective medium theory. The gain of a backward wave mode of the CeSRR-loaded waveguide interacting with an electron beam is calculated by two methods: by using the HFSS model and traveling wave tube theory; and by using a dispersion relation derived in the effective medium model. Results of the two methods are in very good agreement. The introduced all-metal structure may be useful in miniaturized vacuum electron devices.
- Authors:
-
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Univ. of Electronic Science and Technology of China, Chengdu (China)
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Publication Date:
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP); Natural Science Foundation of China
- OSTI Identifier:
- 1557637
- Grant/Contract Number:
- SC0010075
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 21; Journal Issue: 10; Journal ID: ISSN 1070-664X
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Citation Formats
Duan, Zhaoyun, Hummelt, Jason S., Shapiro, Michael A., and Temkin, Richard J. Sub-wavelength waveguide loaded by a complementary electric metamaterial for vacuum electron devices. United States: N. p., 2014.
Web. doi:10.1063/1.4897392.
Duan, Zhaoyun, Hummelt, Jason S., Shapiro, Michael A., & Temkin, Richard J. Sub-wavelength waveguide loaded by a complementary electric metamaterial for vacuum electron devices. United States. doi:10.1063/1.4897392.
Duan, Zhaoyun, Hummelt, Jason S., Shapiro, Michael A., and Temkin, Richard J. Thu .
"Sub-wavelength waveguide loaded by a complementary electric metamaterial for vacuum electron devices". United States. doi:10.1063/1.4897392. https://www.osti.gov/servlets/purl/1557637.
@article{osti_1557637,
title = {Sub-wavelength waveguide loaded by a complementary electric metamaterial for vacuum electron devices},
author = {Duan, Zhaoyun and Hummelt, Jason S. and Shapiro, Michael A. and Temkin, Richard J.},
abstractNote = {This work reviews the electromagnetic properties of a waveguide loaded by complementary electric split ring resonators (CeSRRs) and the application of the waveguide in vacuum electronics. The S-parameters of the CeSRRs in free space are calculated using the HFSS code and are used to retrieve the effective permittivity and permeability in an effective medium theory. The dispersion relation of a waveguide loaded with the CeSRRs is calculated by two methods: by direct calculation with HFSS and by calculation with the effective medium theory; the results are in good agreement. An improved agreement is obtained using a fitting procedure for the permittivity tensor in the effective medium theory. The gain of a backward wave mode of the CeSRR-loaded waveguide interacting with an electron beam is calculated by two methods: by using the HFSS model and traveling wave tube theory; and by using a dispersion relation derived in the effective medium model. Results of the two methods are in very good agreement. The introduced all-metal structure may be useful in miniaturized vacuum electron devices.},
doi = {10.1063/1.4897392},
journal = {Physics of Plasmas},
number = 10,
volume = 21,
place = {United States},
year = {2014},
month = {10}
}
Web of Science
Works referenced in this record:
Composite Medium with Simultaneously Negative Permeability and Permittivity
journal, May 2000
- Smith, D. R.; Padilla, Willie J.; Vier, D. C.
- Physical Review Letters, Vol. 84, Issue 18
THE ELECTRODYNAMICS OF SUBSTANCES WITH SIMULTANEOUSLY NEGATIVE VALUES OF $\epsilon$ AND μ
journal, April 1968
- Veselago, Viktor G.
- Soviet Physics Uspekhi, Vol. 10, Issue 4
Photonic approach to making a material with a negative index of refraction
journal, January 2003
- Shvets, Gennady
- Physical Review B, Vol. 67, Issue 3
Enhanced reversed Cherenkov radiation in a waveguide with double-negative metamaterials
journal, January 2011
- Duan, Zhaoyun; Guo, Chen; Chen, Min
- Optics Express, Vol. 19, Issue 15
Novel coupled-cavity TWT structure using two-step LIGA fabrication
journal, December 2003
- Young-Min Shin, ; Scheitrum, G. P.
- IEEE Transactions on Plasma Science, Vol. 31, Issue 6
Design of Overmoded Interaction Circuit for 1-kW 95-GHz TWT
journal, May 2009
- Kory, Carol L.; Read, Michael E.; Ives, R. Lawrence
- IEEE Transactions on Electron Devices, Vol. 56, Issue 5
Electron-Beam Instability in Left-Handed Media
journal, June 2008
- Bliokh, Yury P.; Savel’ev, Sergey; Nori, Franco
- Physical Review Letters, Vol. 100, Issue 24
Study of Split-Ring Resonators as a Metamaterial for High-Power Microwave Power Transmission and the Role of Defects
journal, June 2013
- Shiffler, D.; Seviour, R.; Luchinskaya, E.
- IEEE Transactions on Plasma Science, Vol. 41, Issue 6
Reversed Cherenkov emission of terahertz waves from an ultrashort laser pulse in a sandwich structure with nonlinear core and left-handed cladding
journal, January 2010
- Bakunov, M. I.; Mikhaylovskiy, R. V.; Bodrov, S. B.
- Optics Express, Vol. 18, Issue 2
A Cerenkov-like Maser Based on a Metamaterial Structure
journal, June 2010
- Shiffler, Don; Luginsland, John; French, David M.
- IEEE Transactions on Plasma Science, Vol. 38, Issue 6
Novel electromagnetic radiation in a semi-infinite space filled with a double-negative metamaterial
journal, January 2012
- Duan, Zhaoyun; Guo, Chen; Zhou, Jun
- Physics of Plasmas, Vol. 19, Issue 1
Active negative-index metamaterial powered by an electron beam
journal, August 2012
- Shapiro, M. A.; Trendafilov, S.; Urzhumov, Y.
- Physical Review B, Vol. 86, Issue 8
Double negative-metamaterial based Terahertz radiation excited by a sheet beam bunch
journal, September 2013
- Duan, Zhaoyun; Guo, Chen; Guo, Xin
- Physics of Plasmas, Vol. 20, Issue 9
Electron beam coupling to a metamaterial structure
journal, August 2013
- French, David M.; Shiffler, Don; Cartwright, Keith
- Physics of Plasmas, Vol. 20, Issue 8
Full-wave verification of the fundamental properties of left-handed materials in waveguide configurations
journal, December 2001
- Caloz, C.; Chang, C. -C.; Itoh, T.
- Journal of Applied Physics, Vol. 90, Issue 11
Left-Handed-Media Simulation and Transmission of EM Waves in Subwavelength Split-Ring-Resonator-Loaded Metallic Waveguides
journal, October 2002
- Marqués, R.; Martel, J.; Mesa, F.
- Physical Review Letters, Vol. 89, Issue 18
Simulation of negative permittivity and negative permeability by means of evanescent waveguide Modes-theory and experiment
journal, April 2005
- Esteban, J.; Camacho-Penalosa, C.; Page, J. E.
- IEEE Transactions on Microwave Theory and Techniques, Vol. 53, Issue 4
Some Features of the Electrodynamics of Anisotropic Metamaterials
journal, February 2005
- Kondratyev, I. G.; Smirnov, A. I.
- Radiophysics and Quantum Electronics, Vol. 48, Issue 2
Subwavelength metallic waveguides loaded by uniaxial resonant scatterers
journal, September 2005
- Belov, Pavel A.; Simovski, Constantin R.
- Physical Review E, Vol. 72, Issue 3
Waveguide miniaturization using uniaxial negative permeability metamaterial
journal, January 2005
- Hrabar, S.; Bartolic, J.; Sipus, Z.
- IEEE Transactions on Antennas and Propagation, Vol. 53, Issue 1
Complementary planar terahertz metamaterials
journal, January 2007
- Chen, Hou-Tong; O'Hara, John F.; Taylor, Antoinette J.
- Optics Express, Vol. 15, Issue 3
Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients
journal, April 2002
- Smith, D. R.; Schultz, S.; Markoš, P.
- Physical Review B, Vol. 65, Issue 19
Robust method to retrieve the constitutive effective parameters of metamaterials
journal, July 2004
- Chen, Xudong; Grzegorczyk, Tomasz M.; Wu, Bae-Ian
- Physical Review E, Vol. 70, Issue 1
Electromagnetic parameter retrieval from inhomogeneous metamaterials
journal, March 2005
- Smith, D. R.; Vier, D. C.; Koschny, Th.
- Physical Review E, Vol. 71, Issue 3
Finite-difference frequency-domain method for the extraction of effective parameters of metamaterials
journal, December 2009
- Costa, João T.; Silveirinha, Mário G.; Maslovski, Stanislav I.
- Physical Review B, Vol. 80, Issue 23
A Unique Extraction of Metamaterial Parameters Based on Kramers–Kronig Relationship
journal, October 2010
- Szabo, Zsolt; Park, Gi-Ho; Hedge, Ravi
- IEEE Transactions on Microwave Theory and Techniques, Vol. 58, Issue 10
Analytic expressions for the constitutive parameters of magnetoelectric metamaterials
journal, March 2010
- Smith, D. R.
- Physical Review E, Vol. 81, Issue 3
Research Progress in Reversed Cherenkov Radiation in Double-Negative Metamaterials
journal, January 2009
- Duan, Zhao-Yun; Wu, Bae-Ian; Xi, Sheng
- Progress In Electromagnetics Research, Vol. 90
Nonlinear theory of electromagnetic wave excitation by a relativistic electron beam in a metal waveguide, filled with a dielectric medium
journal, April 1975
- Ivanov, S. T.; Dolgenko, O. V.; Rukhadze, A. A.
- Journal of Physics A: Mathematical and General, Vol. 8, Issue 4
Works referencing / citing this record:
Metamaterial electromagnetic energy harvester with near unity efficiency
journal, April 2015
- Almoneef, Thamer S.; Ramahi, Omar M.
- Applied Physics Letters, Vol. 106, Issue 15
A metamaterial electromagnetic energy rectifying surface with high harvesting efficiency
journal, December 2016
- Duan, Xin; Chen, Xing; Zhou, Lin
- AIP Advances, Vol. 6, Issue 12
High power long pulse microwave generation from a metamaterial structure with reverse symmetry
journal, February 2018
- Lu, Xueying; Stephens, Jacob C.; Mastovsky, Ivan
- Physics of Plasmas, Vol. 25, Issue 2
Anisotropic metamaterial waveguide driven by a cold and relativistic electron beam
journal, March 2018
- Torabi, Mahmoud; Shokri, Babak
- Physics of Plasmas, Vol. 25, Issue 3
Coherent Cherenkov-cyclotron radiation excited by an electron beam in a two-spiral metamaterial waveguide
journal, November 2018
- Liu, M.; Schamiloglu, E.; Yurt, S. C.
- AIP Advances, Vol. 8, Issue 11
Linear theory of instabilities generated by an electron beam in a metamaterial-loaded waveguide
journal, March 2019
- Lu, Xueying; Shapiro, Michael A.; Temkin, Richard J.
- Physics of Plasmas, Vol. 26, Issue 3
Coherent Cherenkov-Cyclotron Radiation Excited by an Electron Beam in a Metamaterial Waveguide
journal, December 2016
- Hummelt, J. S.; Lu, X.; Xu, H.
- Physical Review Letters, Vol. 117, Issue 23
Modeling of the interaction of a volumetric metallic metamaterial structure with a relativistic electron beam
journal, August 2015
- Lu, Xueying; Shapiro, Michael A.; Temkin, Richard J.
- Physical Review Special Topics - Accelerators and Beams, Vol. 18, Issue 8