Electrodynamics of Space-filling Curves and their Antenna and Metamaterial Applications

#metamaterial #metasurfaces #microwave #spacefilling
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An in-person presentation by IEEE AP-S Distinguished Lecturer and IEEE Life Fellow Prof. Ahmad Hoorfar from Villanova University

The concept of space-filling curves has been studied in mathematics since the late 19th century. These curves are, in general, continuous mappings from a normalized one-dimensional interval [0,1] to a normalized two-dimensional region, [0,1] × [0,1]. In each case the curve passes through every point in the 2-D region in the limit of infinite iteration order. The most widely known of these curves are the ones proposed by G. Peano and David Hilbert in 1890 and 1891, respectively. From an electromagnetics, scattering, and antenna perspective, space-filling curves are particularly attractive as they offer resonant structures with very small footprints when the step-order of iterative filling increases. However, these curves are a subset of a broader class of curves in graph theory known as Grid-Graph Hamiltonian Paths (GG-HP) and Grid-Graph Hamiltonian Cycles (GG-HC).

In this lecture, we will explore the fundamental electrodynamics of space-filling curves and Grid-Graph Hamiltonian Paths, focusing on their scattering properties, polarizability, and multiband functionality, and their roles in the development of electrically small and reconfigurable antennas, metamaterials, and metasurfaces. Specifically, we will examine the use of space-filling curve and Hamiltonian Path fractal elements in designing wideband yet miniaturized top-loaded monopoles, ultra-passive RFID tags, polarization-insensitive high-impedance surfaces, electrically-thin microwave absorbers, single-negative (SNG) and double-negative (DNG) metamaterials, and metasurfaces with non-uniformly spaced inclusions for printed antenna beam shaping. We will highlight the key features of these novel structures and provide physical insights into both theoretical and experimental results.

 

Please join us at 5:30PM for networking and light refreshments!


  Date and Time

  Location

  Hosts

  Registration


  • Date: 20 Mar 2025
  • Time: 10:00 PM UTC to 11:30 PM UTC
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  • Life Sciences Complex at Syracuse University
  • 107 College Pl
  • Syracuse, New York
  • United States 13210
  • Building: FREE PARKING is available! Indicate interest in registration form.
  • Room Number: Lundgren Room (LSB 106)
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  • Co-sponsored by Syracuse University EECS Department
  • Starts 28 February 2025 05:00 AM UTC
  • Ends 20 March 2025 04:00 AM UTC
  • No Admission Charge

  Speakers

IEEE AP-S Distinguished Lecturer and IEEE Life Fellow Prof. Ahmad Hoorfar of Villanova University

Biography:

Ahmad Hoorfar is a professor of electrical and computer engineering, the ECE department’s graduate chair, and the founder and director of Antenna Research Laboratory at Villanova University. He received his B.S. in electronics engineering from the University of Tehran and the M.S. and Ph.D. degrees in electrical engineering from the University of Colorado Boulder. His research contributions over the years have covered areas in electromagnetic field theory, numerical electromagnetics, multifunction printed and low-profile antennas, metamaterial media and surfaces, inverse scattering, microwave sensing and imaging, and stochastic optimization methods. He has been a pioneer in development and applications of evolutionary and global algorithms in electromagnetics, development of electromagnetic-based techniques for through-the-wall radar imaging (TWRI) and ground penetrating radar (GPR), compressive sensing applied to GPR and TWRI, and the use of the mathematical concept of space-filling curves in design of electrically small antennas, RFID tags, artificial magnetic conductors, and metasurfaces.

Dr. Hoorfar was the recipient of Villanova University’s Outstanding Faculty Research Scholar Award in 2007, and the recipient of Philadelphia section’s ‘IEEE chapter of the year award' for his leadership in chairing the AP/MTT joint chapter in 1995. His students have won top prizes in student best paper competitions at several IEEE and other international symposia, He has served on the review board of various IEEE and other technical publications and has also been on the technical program committees of numerous international symposia and conferences on antennas, microwaves, radar, and remote sensing in the last thirty years. He spent his sabbatical leaves in 2002 and 2009 at NASA’s Jet Propulsion Laboratory (JPL) in Pasadena, California, where he contributed to the development of a general optimization code for design of feed horns for NASA’s deep space communication network.

Dr. Hoorfar is a Life Fellow member of IEEE, a member of International Radio Science Commission B, and an elected member of the Franklin Institute Committee on Science and the Arts. He is a Distinguished Lecturer of the IEEE Antennas and Propagation Society (AP-S) for 2023-2025 and has also been serving as the chair of the IEEE AP-S paper award committee since 2023.

 




Agenda

5:30pm: Networking and light refreshments;

6:00pm: Presentation;

7:00pm: Q&A and discussion;


Please note - This is an in-person event and registration is limited due to the constraints of the venue. If registering before March 12th and interested in a parking pass, please indicate so in the registration form. Questions? Send email with subject line "IEEE Prof. Hoorfar event" to menders@ieee.org