1. Dunbar, A. S., "Calculation of doubly curved re ectors for shaped beams," Proceedings of the IRE, Vol. 36, No. 10, 1289-1296, 1948.
doi:10.1109/JRPROC.1948.231938 Google Scholar
2. Chu, L. J., "Microwave beam-shaping antennas,", Army Signal Corps Contract No. W-36-039 sc-32037, 1947. Google Scholar
3. Silver, S., Microwave Antenna Theory and Design, Massachusetts Institute of Technology, Radiation Laboratory series, Boston Technical Publishers, 1964.
4. Balanis, C. A., Antenna Theory Analysis and Design, 2016.
5. Dastran, A., H. Abiri, and A. Mallahzadeh, "Design of a broadband cosecant squared pattern re ector antenna using IWO algorithm," IEEE Transactions on Antennas and Propagation, Vol. 61, No. 7, 3895-3900, 2013.
doi:10.1109/TAP.2013.2254439 Google Scholar
6. Dastranj, A. A., H. Abiri, and A. R. Mallahzadeh, "Cosecant-squared pattern synthesis method for broadband-shaped re ector antennas," IET Microwaves, Antennas & Propagation, Vol. 8, No. 5, 328-336, 2014.
doi:10.1049/iet-map.2013.0406 Google Scholar
7. Foudazi, A. and A. R. Mallahzadeh, "Pattern synthesis for multi-feed re ector antennas using invasive weed optimisation," IET Microwaves, Antennas & Propagation, Vol. 6, No. 14, 1583-1589, 2012.
doi:10.1049/iet-map.2012.0045 Google Scholar
8. Mizusawa, M., S. Urasaki, S. Betsudan, and M. Limori, "A dual doubly curved re ector antenna having good circular polarization characteristics," IEEE Transactions on Antennas and Propagation, Vol. 26, No. 3, 455-458, 1978.
doi:10.1109/TAP.1978.1141869 Google Scholar
9. Winter, C., "Dual vertical beam properties of doubly curved reflectors," IEEE Transactions on Antennas and Propagation, Vol. 19, No. 2, 174-180, 1971.
doi:10.1109/TAP.1971.1139903 Google Scholar
10. Zornoza, J. A., R. Leberer, J. A. Encinar, and W. Menzel, "Folded multilayer microstrip re ectarray with shaped pattern," IEEE Transactions on Antennas and Propagation, Vol. 54, No. 2, 510-518, 2006.
doi:10.1109/TAP.2005.863101 Google Scholar
11. Carrasco, E., M. Arrebola, J. A. Encinar, and M. Barba, "Demonstration of a shaped beam re ectarray using aperture-coupled delay lines for LMDS central station antenna," IEEE Transactions on Antennas and Propagation, Vol. 56, No. 10, 3103-3111, 2008.
doi:10.1109/TAP.2008.929452 Google Scholar
12. Carluccio, G., A. Mazzinghi, and A. Freni, "Design and manufacture of cosecant-squared complementary re ectarrays for low-cost applications," IEEE Transactions on Antennas and Propagation, Vol. 65, No. 10, 5220-5227, 2017.
doi:10.1109/TAP.2017.2743743 Google Scholar
13. Arrebola, M., J. A. Encinar, and M. Barba, "Multifed printed re ectarray with three simultaneous shaped beams for LMDS central station antenna," IEEE Transactions on Antennas and Propagation, Vol. 56, No. 6, 1518-1527, 2008.
doi:10.1109/TAP.2008.923360 Google Scholar
14. Holzman, E. L., "Pillbox antenna design for millimeter-wave base-station applications," IEEE Antennas and Propagation Magazine, Vol. 45, No. 1, 27-37, 2003.
doi:10.1109/MAP.2003.1189649 Google Scholar
15. Brunner, A., "Possibilities of dimensioning doubly curved re ectors for azimuth-search radar antennas," IEEE Transactions on Antennas and Propagation, Vol. 19, No. 1, 52-57, 1971.
doi:10.1109/TAP.1971.1139860 Google Scholar
16. Peter, L. and K. Salkauskas, Curve and Surface Fitting: An Introduction, Computational Mathematics and Applications, Academic Press, 1986.
17. Mehrabian, A. R. and C. Lucas, "A novel numerical optimization algorithm inspired from weed colonization," Ecological Informatics, Vol. 1, No. 4, 355-366, Dec. 1, 2006.
doi:10.1016/j.ecoinf.2006.07.003 Google Scholar
18. Misaghi, M. and M. Yaghoobi, "Improved invasive weed optimization algorithm (IWO) based on chaos theory for optimal design of PID controller," Journal of Computational Design and Engineering, Vol. 6, No. 3, 284-295, Jul. 1, 2019.
doi:10.1016/j.jcde.2019.01.001 Google Scholar
19. Goldstein, H., C. P. Poole, and J. L. Safko, Classical Mechanics, Addison-Wesley series in physics, Addison Wesley, 2002.