1970
DOI: 10.1109/tap.1970.1139607
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Multimode propagation on radiating traveling-wave structures with glide-symmetric excitation

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Cited by 49 publications
(23 citation statements)
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“…Enforcing the continuity of the magnetic fields (8) and (19) across the corrugation aperture and projecting this equation on each waveguide modal function Φ m (x) (multiplying both sides of the equation by Φ m (x) and integrating over the corrugation aperture), the following linear equations are obtained:…”
Section: Glide-symmetric Boundary Conditions For the 1d Structurementioning
confidence: 99%
See 1 more Smart Citation
“…Enforcing the continuity of the magnetic fields (8) and (19) across the corrugation aperture and projecting this equation on each waveguide modal function Φ m (x) (multiplying both sides of the equation by Φ m (x) and integrating over the corrugation aperture), the following linear equations are obtained:…”
Section: Glide-symmetric Boundary Conditions For the 1d Structurementioning
confidence: 99%
“…Higher symmetries were at first studied decades ago in connection to the theory of periodic waveguides [12], [16]- [19], and a generalized Floquet theorem was stated in [12]. The interest for glide symmetric structures recently renewed after several years in connection with the recent development of metamaterials and metasurfaces related to backward propagation [20], leaky radiation [21] and artificial materials [22], [23].…”
Section: Introductionmentioning
confidence: 99%
“…The recent study of higher symmetries [1][2][3][4][5] was driven by a growing interest in the use of periodic structures to improve the electromagnetic properties of antennas and microwave devices. These symmetries were first investigated in the 1960s and 1970s for one-dimensional periodic structures [6][7][8], introducing the concepts of glide and screw (twist) symmetry. More recently, two-dimensional glide symmetries were proposed and studied, which are a particular case of higher symmetries, demonstrating great potential for modifying the dispersion properties of periodic structures [9,10].…”
Section: Introductionmentioning
confidence: 99%
“…A periodic structure possesses a higher symmetry if its unit cell is invariant under the composition of a translation and another geometrical operation [1][2][3][4]. The unit cell of a higher-symmetric periodic structure is composed of m subunit cells, where m is the degree of symmetry to which the compound symmetry operation, S, is applied.…”
Section: Introductionmentioning
confidence: 99%
“…The electromagnetic properties of structures possessing higher symmetries, and in particular twist and glide symmetries, were extensively studied in the 60s and 70s [1][2][3][4]. These initial works focused on the study of onedimensional structures, and the results have been applied in the design of forward and backward scanning leaky-wave antennas [10][11][12].…”
Section: Introductionmentioning
confidence: 99%