BEGIN:VCALENDAR VERSION:2.0 PRODID:IEEE vTools.Events//EN CALSCALE:GREGORIAN BEGIN:VTIMEZONE TZID:America/Sao_Paulo BEGIN:DAYLIGHT DTSTART:20380119T001407 TZOFFSETFROM:-0300 TZOFFSETTO:-0300 RRULE:FREQ=YEARLY;BYDAY=3TU;BYMONTH=1 TZNAME:-03 END:DAYLIGHT BEGIN:STANDARD DTSTART:20190216T230000 TZOFFSETFROM:-0200 TZOFFSETTO:-0300 RRULE:FREQ=YEARLY;BYDAY=3SA;BYMONTH=2 TZNAME:-03 END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTAMP:20260313T192110Z UID:8AD9E611-CF45-4FC2-B27D-8E7A04D84CCD DTSTART;TZID=America/Sao_Paulo:20251111T092000 DTEND;TZID=America/Sao_Paulo:20251111T100000 DESCRIPTION:The concept of space-filling curves has been studied in mathema tics since the late 19th century.\nThese curves are\, in general\, continu ous mappings from a normalized one-dimensional interval [0\,1] to a\nnorma lized two-dimensional region\, [0\,1] × [0\,1]. In each case the curve pa sses through every point in the\n2-D region in the limit of infinite itera tion order. The most widely known of these curves are the ones\nproposed b y G. Peano and David Hilbert in 1890 and 1891\, respectively. From an elec tromagnetics\,\nscattering\, and antenna perspective\, space-filling curve s are particularly attractive as they offer resonant\nstructures with very small footprints when the step-order of iterative filling increases. Howe ver\, these\ncurves are a subset of a broader class of curves in graph the ory known as Grid-Graph Hamiltonian Paths\n(GG-HP) and Grid-Graph Hamilton ian Cycles (GG-HC).\nIn this lecture\, we will explore the fundamental ele ctrodynamics of space-filling curves and Grid-Graph\nHamiltonian Paths\, f ocusing on their scattering properties\, polarizability\, and multiband fu nctionality\, and\ntheir roles in the development of electrically small an d reconfigurable antennas\, metamaterials\, and\nmetasurfaces. Specificall y\, we will examine the use of space-filling curve and Hamiltonian Path fr actal\nelements in designing wideband yet miniaturized top-loaded monopole s\, ultra-passive RFID tags\,\npolarization-insensitive high-impedance sur faces\, electrically-thin microwave absorbers\, single-negative\n(SNG) and double-negative (DNG) metamaterials\, and metasurfaces with non-uniformly spaced\ninclusions for printed antenna beam shaping. We will highlight th e key features of these novel structures\nand provide physical insights in to both theoretical and experimental results.\n\nCampina Grande\, Paraiba\ , Brazil LOCATION:Campina Grande\, Paraiba\, Brazil ORGANIZER:alexandreserres@dee.ufcg.edu.br SEQUENCE:6 SUMMARY:Electrodynamics of Space-filling Curves and their Antenna and Metam aterial Applications URL;VALUE=URI:https://events.vtools.ieee.org/m/547358 X-ALT-DESC:Description: <br /><p style="text-align: justify\;">The concept of space-filling curves has been studied in mathematics since the late 19t h century.<br>These curves are\, in general\, continuous mappings from a n ormalized one-dimensional interval [0\,1] to a<br>normalized two-dimension al region\, [0\,1] &times\; [0\,1]. In each case the curve passes through every point in the<br>2-D region in the limit of infinite iteration order. The most widely known of these curves are the ones<br>proposed by G. Pean o and David Hilbert in 1890 and 1891\, respectively. From an electromagnet ics\,<br>scattering\, and antenna perspective\, space-filling curves are p articularly attractive as they offer resonant<br>structures with very smal l footprints when the step-order of iterative filling increases. However\, these<br>curves are a subset of a broader class of curves in graph theory known as Grid-Graph Hamiltonian Paths<br>(GG-HP) and Grid-Graph Hamiltoni an Cycles (GG-HC).<br>In this lecture\, we will explore the fundamental el ectrodynamics of space-filling curves and Grid-Graph<br>Hamiltonian Paths\ , focusing on their scattering properties\, polarizability\, and multiband functionality\, and<br>their roles in the development of electrically sma ll and reconfigurable antennas\, metamaterials\, and<br>metasurfaces. Spec ifically\, we will examine the use of space-filling curve and Hamiltonian Path fractal<br>elements in designing wideband yet miniaturized top-loaded monopoles\, ultra-passive RFID tags\,<br>polarization-insensitive high-im pedance surfaces\, electrically-thin microwave absorbers\, single-negative <br>(SNG) and double-negative (DNG) metamaterials\, and metasurfaces with non-uniformly spaced<br>inclusions for printed antenna beam shaping. We wi ll highlight the key features of these novel structures<br>and provide phy sical insights into both theoretical and experimental results.</p> END:VEVENT END:VCALENDAR