2-D periodic leaky-wave antennas-part I: metal patch design

By Tianxia Zhao, David R. Jackson, J.T. Williams, H. Yang, A. Oliner. IEEE Transactions on Antennas and Propagation, 2005

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Analysis of directive radiation from a line source in a metamaterial slab with low permittivity (2006, background): “sources in the presence of infinite periodic structures [47].”
Leaky-Wave Antennas (2008, background): “The limitation on the beam angle due to the higher-order parallel-plate modes may be overcome by using a dielectric layer with εr > 4/3, which allows for the beam angle θ0 to approach 90 before radiation from a secondary beam occurs [17].”
Electronically Steerable 1-D Fabry-Perot Leaky-Wave Antenna Employing a Tunable High Impedance Surface (2012, methodology): “The Transverse Resonance Method (TRM) is a simple and powerful analysis tool widely used in the design of LWAs [2], [35], [36].”
Wideband High Directive Aperture Coupled Microstrip Antenna Design by Using a FSS Superstrate Layer (2012, background): “According to [27], [28], to have a broadside radiation pattern from the 2D LW antenna, it is necessary to excite the suitable horizontal current in the EBG antenna.”
General formulas for 2-D leaky-wave antennas (2005, background): “Further details may be found in [12], [13], and [15].”