Zekios, Constantinos Graduate Faculty
- Assistant Professor, Electrical and Computer Engineering , College of Engineering and Computing
Overview
biography
- Constantinos L. Zekios (kzekios@fiu.edu) is a research assistant professor in the Department of Electrical and Computer Engineering, Florida International University, Miami, Florida, 33174, USA. His research interests include computational electromagnetics, optimization methods, antenna theory and design, electromagnetic surfaces, beamforming networks, and microwave engineering. He is a Member of IEEE.
research interests
- Electromagnetics, Microwaves, Antennas, Wireless Power Transfer, Computational Electromagnetics
Scholarly & Creative Works
Patents issued
- Arrays with Foldable and Deployable Characteristics Patent
- Arrays with Foldable and Deployable Characteristics Patent
- Foldable, Deployable and Reconfigurable MIMO Antenna Arrays Patent
- Multiple Input Multiple Output Antenna Devices Patent
- Reconfigurable Arrays With Foldable Panels Patent
- Reconfigurable Foldable and/or Origami Passive Arrays Patent
- Reconfigurable and Foldable Multimode MIMO Antenna Patent
selected scholarly works & creative activities
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Article
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2024A New Class of Full-Dimensional Planar True-Time-Delay Beamforming Networks. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION. 72:2337-2346.Full Text via DOI: 10.1109/TAP.2024.3352832
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2024A Deep Learning Convolutional Neural Network for Antenna Near-Field Prediction and Surrogate Modeling. IEEE ACCESS. 12:39737-39747.Full Text via DOI: 10.1109/ACCESS.2024.3377219 Web of Science: 001189828300001
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2024Increasing the Bandwidth of Antennas Based on the Frequency Pulling Technique: Theoretical Limitations and Practical Considerations. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION.Full Text via DOI: 10.1109/TAP.2024.3384771
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2023An ultra-fast method for designing holographic phase shifting surfaces. SCIENTIFIC REPORTS. 13.Full Text via DOI: 10.1038/s41598-023-43815-2 Web of Science: 001082130500008
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2023A CMA-Based Electronically Reconfigurable Dual-Mode and Dual-Band AntennaFull Text via DOI: 10.3390/electronics12183915 Web of Science: 001073767500001
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2023Multifidelity Surrogate Modeling Based on Analytical Eigenfunction Expansions. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION. 71:1673-1683.Full Text via DOI: 10.1109/TAP.2022.3228615 Web of Science: 000967038700001
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2023A TM11 High-Order Mode Leaky Wave Antenna. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION. 71:119-130.Full Text via DOI: 10.1109/TAP.2022.3217257 Web of Science: 000966463700001
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2023Increasing the Bandwidth of Wideband Antennas Using the Frequency Pulling TechniqueFull Text via DOI: 10.1109/OJAP.2023.3329762 Web of Science: 001119569100002
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2022A Novel RF to Millimeter Waves Frequency Translation Scheme for Ultra-Wideband Beamformers Supporting the Sub-6 GHz Band. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION. 70:11718-11733.Full Text via DOI: 10.1109/TAP.2022.3210698 Web of Science: 000928163000059
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2022MIMO Systems in SmallSat Swarms: System Characterization With the Introduction of a Channel Model. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION. 70:8276-8290.Full Text via DOI: 10.1109/TAP.2022.3161310 Web of Science: 000866510000090
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2022An ultra-wideband origami microwave absorber. SCIENTIFIC REPORTS. 12.Full Text via DOI: 10.1038/s41598-022-17648-4 Web of Science: 000836406600082
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2022A Finite Element-Based Characteristic Mode AnalysisFull Text via DOI: 10.1109/OJAP.2022.3150594 Web of Science: 000757849000002
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2022A Low Profile Planar Dual-Polarized Tightly Coupled Dipole Reflectarray With 5:1 BandwidthFull Text via DOI: 10.1109/OJAP.2022.3198468 Web of Science: 000845059400003
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2022Multiobjective Fitness Functions With Nonlinear Switching for Antenna OptimizationsFull Text via DOI: 10.1109/OJAP.2022.3178840 Web of Science: 000808058600001
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2021An Eigenmode Study of Nanoantennas from Terahertz to Optical FrequenciesFull Text via DOI: 10.3390/electronics10222782 Web of Science: 000725560400001
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2021Automated Design and Optimization of Origami Electromagnetic Structures. IEEE ANTENNAS AND PROPAGATION MAGAZINE. 63:89-102.Full Text via DOI: 10.1109/MAP.2021.3053962 Web of Science: 000637185900010
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2021Decoupling modes in multi-band microstrip patch antennasFull Text via DOI: 10.1109/OJAP.2020.3046458
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2020A Thick Origami Traveling Wave Antenna. APPLIED COMPUTATIONAL ELECTROMAGNETICS SOCIETY JOURNAL. 35:1416-1417.Full Text via DOI: 10.47037/2020.ACES.J.351177 Web of Science: 000616721600007
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2020Transforming single-band static FSS to dual-band dynamic FSS using origami. SCIENTIFIC REPORTS. 10.Full Text via DOI: 10.1038/s41598-020-70434-y Web of Science: 000563538600007
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2020Design of True Time Delay Millimeter Wave Beamformers for 5G Multibeam Phased ArraysFull Text via DOI: 10.3390/electronics9081331 Web of Science: 000564773000001
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2020A Thick Origami Reconfigurable and Packable Patch Array With Enhanced Beam Steering. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION. 68:3653-3663.Full Text via DOI: 10.1109/TAP.2020.2963922 Web of Science: 000534640900032
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2019An Eigenanalysis Study of Tunable THz and Photonic Unbounded Structures Employing Finite Element MethodFull Text via DOI: 10.1109/JPHOT.2019.2935805 Web of Science: 000575419600001
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2019A Wearable WPT System on Flexible Substrates. IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS. 18:931-935.Full Text via DOI: 10.1109/LAWP.2019.2906069 Web of Science: 000467065200025
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2019Analysis of a Packable and Tunable Origami Multi-Radii Helical Antenna. IEEE ACCESS. 7:13003-13014.Full Text via DOI: 10.1109/ACCESS.2019.2892711 Web of Science: 000458177800071
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2019Miniaturization of SCMR Systems Using Multilayer Resonators. IEEE ACCESS. 7:143445-143453.Full Text via DOI: 10.1109/ACCESS.2019.2945319 Web of Science: 000498827100002
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2015DC and Imaginary Spurious Modes Suppression for Both Unbounded and Lossy Structures. IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES. 63:2082-2093.Full Text via DOI: 10.1109/TMTT.2015.2430324
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2013Eigenanalysis of Electromagnetic Structures Based on the Finite Element MethodFull Text via DOI: 10.4236/am.2013.47138
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2012Evaluation of eigenmode quality factor of large complex cavities based on PEC linear finite element formulation. ELECTRONICS LETTERS. 48:1399-1401.Full Text via DOI: 10.1049/el.2012.1852
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Conference
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2024Liquid Metal Nanoparticles-Infused Wearable CSCMR WPT Systems. 135-135.Full Text via DOI: 10.23919/usnc-ursinrsm60317.2024.10464778
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2024The KIHM-9: A Self-Deploying Picosat Holographic Metasurface Antenna Array DesignFull Text via DOI: 10.2514/6.2024-1429
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20232D Eigenmode Analysis Based on Physics Informed Neural Networks. 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI). 1015-1016.Full Text via DOI: 10.1109/USNC-URSI52151.2023.10237743
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2023A 33-101 GHz Ultra-Wideband Tightly Coupled Monopole Array (TCMA). 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI). 515-516.Full Text via DOI: 10.1109/USNC-URSI52151.2023.10237697
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2023A New Class of 2D Scanning Planar TTD Multibeam Networks. 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI). 871-872.Full Text via DOI: 10.1109/USNC-URSI52151.2023.10238261
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2023A Simple and High-Efficiency Dual-Band Element for Active Reflectarray Designs. 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI). 1515-1516.Full Text via DOI: 10.1109/USNC-URSI52151.2023.10237841
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2023A Wideband Reconfigurable and Dual-Polarized Transmitarray Unit Cell. 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI). 393-394.Full Text via DOI: 10.1109/USNC-URSI52151.2023.10238075
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2023Alternative Computational Techniques for the Numerical Analysis of Characteristic Modes. 637-638.Full Text via DOI: 10.1109/ICEAA57318.2023.10297880 Web of Science: 001098971100251
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2023An Electronically Reconfigurable Dual-Mode Dual-Band Ring Antenna Based on CMA. 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI). 1869-1870.Full Text via DOI: 10.1109/USNC-URSI52151.2023.10238238
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2023An HF Magnetoelectric Dipole Element. 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI). 1527-1528.Full Text via DOI: 10.1109/USNC-URSI52151.2023.10238163
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2023An Ultra-Fast Method for Designing Hybrid Phase-Shifting Surfaces. 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI). 1583-1584.Full Text via DOI: 10.1109/USNC-URSI52151.2023.10237918
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2023Increasing the Bandwidth of Reflectarray Antennas Using the Frequency Pulling Technique. 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI). 1329-1330.Full Text via DOI: 10.1109/USNC-URSI52151.2023.10237584
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2023Numerical Eigenfunction Expansions for Optimizing Arbitrarily-Shaped Patch Antennas. 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI). 1763-1764.Full Text via DOI: 10.1109/USNC-URSI52151.2023.10237959
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2023Tightly Coupled Vivaldi Arrays with Increased Bandwidth. 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI). 101-102.Full Text via DOI: 10.1109/USNC-URSI52151.2023.10237607
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20221-D and 2-D Sub-Diffraction Focusing with Circular ArraysFull Text via DOI: 10.1109/PAST49659.2022.9975021 Web of Science: 000922930700059
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20222-D Sub-Diffraction Focusing with Concentric Circular Arrays in the Microwave Regime. 1230-1231.Full Text via DOI: 10.1109/AP-S/USNC-URSI47032.2022.9886133
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2022A Deep-Learning Characteristic Modes Classification Model for Patch Antennas. 491-492.Full Text via DOI: 10.1109/AP-S/USNC-URSI47032.2022.9886407
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2022A Generalized Approach to Real-Time Performance Estimation of Antenna Types Using Deep Learning. 497-498.Full Text via DOI: 10.1109/AP-S/USNC-URSI47032.2022.9886506
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2022A K- and V-Band Planar Dual-Polarized Tightly Coupled Dipole ArrayFull Text via DOI: 10.1109/PAST49659.2022.9975014 Web of Science: 000922930700052
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2022A New Class of Ultra-Wideband Beamforming Networks for sub-6 GHz BandsFull Text via DOI: 10.1109/PAST49659.2022.9975044 Web of Science: 000922930700082
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2022A Planar True Time Delay 2D Beamformer. 1898-1899.Full Text via DOI: 10.1109/AP-S/USNC-URSI47032.2022.9886245
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2022A mm-Wave High-Order Mode Leaky Wave Antenna. 315-316.Full Text via DOI: 10.1109/AP-S/USNC-URSI47032.2022.9886044
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2022An Ultra-Fast Method for Designing Phase Shifting Surfaces. 567-568.Full Text via DOI: 10.1109/AP-S/USNC-URSI47032.2022.9887258
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2022An Ultra-Wideband Fully-Planar Inverted-L Monopole (FILM) ArrayFull Text via DOI: 10.1109/PAST49659.2022.9975064 Web of Science: 000922930700102
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2022Bandwidth Tripling of Triangular Patch Antennas. 1772-1773.Full Text via DOI: 10.1109/AP-S/USNC-URSI47032.2022.9885812
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2022Multifunctional and Deployable Origami AntennasWeb of Science: 000848420400075
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2022Planar Ultra-Wideband Modular Transmitarray. 1794-1795.Full Text via DOI: 10.1109/AP-S/USNC-URSI47032.2022.9886139
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2022Reconfigurable Multi-Mode OAM Reflectarray Synthesis with Reduced Number of Active Elements. 1582-1583.Full Text via DOI: 10.1109/AP-S/USNC-URSI47032.2022.9886293
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2021A Physically Reconfigurable 1× 8 Monolithic Thick Origami ArrayFull Text via DOI: 10.1109/WAMICON47156.2021.9443619
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2021An Ultra-Wideband Origami Microwave AbsorberFull Text via DOI: 10.1109/WAMICON47156.2021.9443602
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2021A Compact Multi-Band MIMO Antenna. 1387-1388.Full Text via DOI: 10.1109/APS/URSI47566.2021.9704339
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2021A Compact mmWave SIW Blass Matrix. 961-962.Full Text via DOI: 10.1109/APS/URSI47566.2021.9703822
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2021A Dual High-Order Mode Leaky Wave Antenna. 1535-1536.Full Text via DOI: 10.1109/APS/URSI47566.2021.9704588
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2021A High-Order Mode Leaky Wave Antenna. 1533-1534.Full Text via DOI: 10.1109/APS/URSI47566.2021.9704446
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2021A Multi-Fidelity Surrogate Optimization Method Based on Analytical Models. 70-73.Full Text via DOI: 10.1109/IMS19712.2021.9574986 Web of Science: 000852934400019
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2021A Planar Ultra-Wideband Dual Polarized Reflectarray. 977-978.Full Text via DOI: 10.1109/APS/URSI47566.2021.9703846
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2021Data-Driven Electromagnetic Scalar Field Estimation of a Patch Antenna Using Deep Convolutional Neural Network. 1497-1498.Full Text via DOI: 10.1109/APS/URSI47566.2021.9704289
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2021Design and Fabrication of an Origami Multimode Ring Antenna. 246-247.Web of Science: 000656145600055
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2021Performance of Random Forest Algorithm in High-Dimensional Surrogate Modeling of Antennas. 1445-1446.Full Text via DOI: 10.1109/APS/URSI47566.2021.9703847
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2020A Novel Channel Model for Clustered CubeSat Communication. 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI). 1741-1742.Full Text via DOI: 10.1109/IEEECONF35879.2020.9329904 Web of Science: 000657357701433
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2020A Quad-Band MIMO Patch Antenna. 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI). 1975-1976.Full Text via DOI: 10.1109/IEEECONF35879.2020.9330326 Web of Science: 000657357702049
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2020A Reconfigurable Origami ReflectarrayWeb of Science: 000564218700212
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2020A Thick Origami Traveling Wave AntennaFull Text via DOI: 10.23919/aces49320.2020.9196171 Web of Science: 000634983400104
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2020A mm-Wave True-Time-Delay Beamformer Architecture based on a Blass Matrix Topology. 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI). 1609-1610.Full Text via DOI: 10.1109/IEEECONF35879.2020.9329535 Web of Science: 000657357701367
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2020An Origami Inspired Polarization-Insensitive FSS. 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI). 881-882.Full Text via DOI: 10.1109/IEEECONF35879.2020.9329813 Web of Science: 000657357701004
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2020An Ultra-Wideband Dually Polarized Transmitarray. 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI). 479-480.Full Text via DOI: 10.1109/IEEECONF35879.2020.9329494 Web of Science: 000657357700240
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2020Dispersion Characteristics of Bent Radiating Waveguides. 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI). 477-478.Full Text via DOI: 10.1109/IEEECONF35879.2020.9330134 Web of Science: 000657357700239
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2020Multi-Objective Optimization of an Origami Yagi-Uda Antenna Using an Adaptive Fitness Function. 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI). 2039-2040.Full Text via DOI: 10.1109/IEEECONF35879.2020.9329600 Web of Science: 000657357702081
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2020Toward the design of tightly coupled parallel dipoles arrays in the presence of the Human body, based on port impedance characteristic modes. 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI). 1811-1812.Full Text via DOI: 10.1109/IEEECONF35879.2020.9329455 Web of Science: 000657357701468
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2019Thick Origami Based Foldable Patch Antenna Array. 1-2.Full Text via DOI: 10.1109/iwat45370.2019.9369273
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2019A Capacity Reconfigurable Multimode Origami MIMO Antenna. 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI). 411-412.Full Text via DOI: 10.1109/apusncursinrsm.2019.8889073 Web of Science: 000657207101095
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2019A Deployable and Reconfigurable Origami Antenna for Extended Mobile Range. 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI). 453-454.Full Text via DOI: 10.1109/apusncursinrsm.2019.8889294 Web of Science: 000657207101116
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2019A Dual-Band Origami FSS. 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI). 2023-2024.Full Text via DOI: 10.1109/apusncursinrsm.2019.8888873 Web of Science: 000657207106105
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2019A Thick Origami Four-Patch Array. 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI). 1141-1142.Full Text via DOI: 10.1109/apusncursinrsm.2019.8888513 Web of Science: 000657207103143
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2019A Tightly Coupled Array Loaded On a Miura-Ori Pattern. 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI). 1143-1144.Full Text via DOI: 10.1109/apusncursinrsm.2019.8889086 Web of Science: 000657207103144
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2019An Eigenmode Study of Tunable THz Nanoantenas. 143-146.Full Text via DOI: 10.1109/iwat.2019.8730588 Web of Science: 000478966700040
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2019
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2019Capacity Reconfigurable Origami Enabled MIMO AntennaFull Text via DOI: 10.23919/usnc-ursi-nrsm.2019.8712870 Web of Science: 000470826800003
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2019Origami Multimode Ring Antenna Based on Characteristic Mode Analysis. 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI). 2037-2038.Full Text via DOI: 10.1109/apusncursinrsm.2019.8888860 Web of Science: 000657207106112
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2019Origami-Enabled Frequency Reconfigurable Dipole Antenna. 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI). 901-902.Full Text via DOI: 10.1109/apusncursinrsm.2019.8889002 Web of Science: 000657207103030
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2019Properties of the Conformal CSCMR SystemWeb of Science: 000470913900067
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2019Radar Cross Section Reduction of A Foldable Microstrip Patch Array. 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI). 1695-1696.Full Text via DOI: 10.1109/apusncursinrsm.2019.8888954 Web of Science: 000657207105105
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2019Simultaneous High Data Rate Communication and Highly Efficient Wireless Power Transfer Through a Coplanar Link. 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI). 1797-1798.Full Text via DOI: 10.1109/apusncursinrsm.2019.8889310 Web of Science: 000657207106001
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2019Simultaneous Wireless Power & Data Transmission for Wearable Applications. 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI). 1801-1802.Full Text via DOI: 10.1109/apusncursinrsm.2019.8889276 Web of Science: 000657207106003
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2019Wireless Power Transfer and High Data Rate Communication Using Load-Shift Keying Modulation. 166-168.Full Text via DOI: 10.1109/iwat.2019.8730571 Web of Science: 000478966700047
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2018On the Randomized Cross Approximation of EFIE Method of Moments. 2497-2498.Full Text via DOI: 10.1109/APUSNCURSINRSM.2018.8609221
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2018Singular Integration in BEM by Interpolation: The EFIE Case. 2313-2314.Full Text via DOI: 10.1109/APUSNCURSINRSM.2018.8609272
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2017A finite element based eigen-analysis of THz nanoantennas. 1902-1905.Full Text via DOI: 10.1109/MWSYM.2017.8059030
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2017Eigen-analysis of composite radiating structures with emphasis on characteristic modes: A review. 17-20.Full Text via DOI: 10.1109/IWAT.2017.7915285
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2017Reducing transmission complexity in MIMO-WCDMA networks employing Principal Component Analysis. 187-190.Full Text via DOI: 10.1109/IWAT.2017.7915354
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2015A characteristic mode analysis of parallel resonances exploiting the finite element scheme. 179-182.Full Text via DOI: 10.1109/EuMC.2015.7345729
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2015Eigenanalysis of open-radiating microwave structures with efficient suppression of spurious modes. 132-134.Full Text via DOI: 10.1109/COMPEM.2015.7052581
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2015Eigenanalysis of photonic structures based on finite element with efficient suppression of spurious modes. 129-131.Full Text via DOI: 10.1109/COMPEM.2015.7052580
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2015
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2014Exploiting characteristic mode theory for the design of a chipless RFID tag. 644-648.Full Text via DOI: 10.1109/LAPC.2014.6996475
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2014A finite element eigenanalysis of electrically large THz and photonic structures. 3331-3334.Full Text via DOI: 10.1109/EuCAP.2014.6902541
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2014Characteristic mode analysis of composite metal-dielectric structure, based on surface integral equation/moment method. 2822-2826.Full Text via DOI: 10.1109/EuCAP.2014.6902414
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2012
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2011A hybrid domain decomposition and truncation method of eigenfunction expansion for the analysis of closed cavities. 1245-1248.Full Text via DOI: 10.1109/APWC.2011.6046838
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2011A novel leaky mode and mode coupling effects occurring in finite substrate microstrip lines and patch antennas. 1257-1260.Full Text via DOI: 10.1109/APWC.2011.6046840
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2011Eigenanalysis of arbitrarily shaped 2-D and 3-D closed and open-radiating structures: A review. 339-342.Full Text via DOI: 10.1109/ICEAA.2011.6046365
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2010Eigenfunction expansion for the analysis of closed cavities. 537-540.Full Text via DOI: 10.1109/LAPC.2010.5666915
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Preprint
Research
investigator on
- Novel Reconfigurable Antennas awarded by Air Force Office of Scientific Research 2023 - 2024
Contact
full name
- Konstantinos Zekios
Identifiers
ORCID iD
- https://orcid.org/0000-0002-3195-8612 (confirmed)
