A two-dimensional horn antenna is used as a model for topology optimization. In order to employ the topology optimization, each point in the domain is controlled by a function which is allowed to take values between 0 and 1. Each point’s distinct value then gives it an effective permittivity, either close to that of polyimide or that of air, two materials considered in this study. With these settings, the optimization problem becomes finding the optimal distribution of materials in a given domain, and is solved under constraints of reflection and material usage by the Method of Moving Asymptotes. The final configuration consists of two concentric arcs of air while polyimide takes up the rest of the domain, a result relatively unsensitive to the choice of constraints and initial values. Compared to the unoptimized antenna, a slimmer main lobe is observed and the gain boosts.
References
[1]
Balanis, C.A. (2016) Antenna Theory: Analysis and Design. John Wiley & Sons, Hoboken, New Jersey.
Eggleston, M.S., Messer, K., Zhang, L., Yablonovitch, E. and Wu, M.C. (2015) Optical Antenna Enhanced Spontaneous Emission. Proceedings of the National Academy of Sciences, 112, 1704-1709. https://doi.org/10.1073/pnas.1423294112
[4]
Karim, T., Hirokawa, J., Oogimoto, K., Nagatsuma, T., Seto, H., Inoue, I. and Saito, M. (2016) Corporate-Feed Slotted Waveguide Array Antenna in the 350-GHz Band by Silicon Process. IEEE Transactions on Antennas and Propagation, 65, 217-225. https://doi.org/10.1109/TAP.2016.2631132
[5]
Lin, Y. and Wang, H. (2016) A Low Phase and Gain Error Passive Phase Shifter in 90 nm CMOS for 60 GHz Phase Array System Application. In 2016 IEEE MTT-S International Microwave Symposium (IMS), San Francisco, California, May 2016, 1-4.
[6]
Sheta, A. and Mahmoud, S.F. (2008) A Widely Tunable Compact Patch Antenna. IEEE Antennas and Wireless Propagation Letters, 7, 40-42. https://doi.org/10.1109/LAWP.2008.915796
[7]
Tong, J., Muthee, M., Chen, S., Yngvesson S.K. and Jun, Y. (2015) Antenna Enhanced Graphene THz Emitter and Detector. Nano Letters, 15, 5295-5301. https://doi.org/10.1021/acs.nanolett.5b01635
[8]
Honeycutt, L. (1998) Communication and Design Course. http://dcr.rpi.edu/commdesign/class1.html
[9]
Traviss, D.J., Schmidt, M.K., Aizpurua, J. and Muskens, O.L. (2015) Antenna Resonances in Low Aspect Ratio Semiconductor Nanowires. Optics Express, 23, 22771-22787. https://doi.org/10.1364/OE.23.022771
[10]
Zhu, J., Zhang, W. and Xia, L. (2016) Topology Optimization in Aircraft and Aerospace Structures Design. Archives of Computational Methods in Engineering, 23, 595-622. https://doi.org/10.1007/s11831-015-9151-2
