本篇論文為利用FDTD模擬頻率60GHz的點波源和光子拓樸絕緣體產生的波導饋送縫隙天線。首先我們先對E_x點波源在縫隙天線中心激發之下進行模擬，分析其場向量和Poynting向量後，再去分析縫隙天線長度所對應的共振頻率。接著討論縫隙天線加了介電質基板和沒加介電質基板結構下不同激發源位置所激發出的共振頻率和模態分佈。再來去分析當縫隙天線對應於拓樸絕緣體不同晶格相對位置且利用E_x點波源在縫隙天線中心饋送的能量共振情形。最後會去模擬由拓樸波導饋送對應於拓樸絕緣體不同相對晶格位置縫隙天線的輻射效率。

This paper employs FDTD simulations to study a slot antenna fed by a point surce at 60 GHz frequency and photonic topological insulators. To understand the basic characteristics of the slot antenna, we first simulate the excitation of the E_x point source at the center of the slot antenna, analyzing its field vector and Poynting vecor. To enhance the radiation efficiency of the slot antenna, we analyze the resonance frequencies corresponding to different lengths based on resonance principles. We then discuss the resonance frequencies and mode distributions excited by different source positions with and without a dielectric substrate for the slot antenna.
To further optimize the radiation efficiency of the slot antenna, we introduce the emerging concept of photonic topological insulators. The topological edge states of these insulators prevent impedance mismatch issues between the slot antenna and the feeding point, thereby avoiding backward scattering that could affect incoming signals. To investigate the radiation behavior of the slot antenna combined with a topological insulator, we analyze the energy resonance when the slot antenna is positioned relative to different unit cells of the topological insulator, feeding energy using the E_x point source. Additionally, we observe the transmission of energy along the topological edge states under pseudo-spin excitations, demonstrating unidirectional energy propagation along these states. Finally, we compare the radiation efficiency of slot antennas at different relative lattice positions of a topological insulator under topological waveguide feeding.

[1] N. Guo, R. Qiu, S. Mo, K. Takahashi,“60-GHz millimeter-wave radio: principle, technology, and new results,” EURASIP J. Wireless Commun. Netw. 2007(1), 1–8(2007), doi:10.1155/2007/68253.
[2] H. Daembkes, B. Adelseck, L.P. Schmidt, and J. Schroth, “GaAs MMIC Based Components and Frontends for Millimetrewave Communication and Sensor Systems,” in IEEE Microwave Systems Conf., 83–86(1995), doi: 10.1109/NTCMWS.1995.522866.
[3] R. L. van Tuyl, “Unlicensed Millimeter Wave Communications: A New Opportunity for MMIC Technology at 60 GHz,” in IEEE GaAs IC Symp., 3–5(1996), doi: 10.1109/GAAS.1996.567624.
[4] S. Sarkar, P. Sen, S. Pinel, C.-H. Lee, and J. Laskar, “Si-based 60 GHz 2X subharmonic mixer for multi-gigabit wireless personal area network application,” in IEEE MTT-S Int. Microw. Symp. Dig., 1830–1833(2006), doi: 10.1109/MWSYM.2006.249751.
[5] P. Smulders, “60 GHz Radio: Prospects and Future Directions,” in Proceedings of IEEE Benelux Chapter Symposium on Communications and Vehicular Technology. , 1–8(2003).
[6] C. R. Anderson et al.,“In-building wideband multipath characteristics at 2.5 and 60 GHz,”Proc. IEEE 56th Veh. Technol. Conf. 1, 97–101(2002), doi: 10.1109/VETECF.2002.1040310.
[7] D. Mitra, A. Sarkhel, O. Kundu, and S. R. B. Chaudhuri, “Design of compact and high directive slot antennas using grounded metamaterial slab,” IEEE Antennas Wireless Propag. Lett. 14, 811–814(2015), doi: 10.1109/LAWP.2014.2380772
[8] W. Liu, Y. Yin, W. Xu, and S. Zuo,“Compact open-slot antenna with bandwidth. enhancement,” IEEE Antennas Wireless Propag. Lett. 10, 850–853(2011), doi: 10.1109/LAWP.2011.2165197.
[9] R. Azadegan and K. Sarabandi, “A novel approach for miniaturization of slot antennas,” IEEE Trans. Antennas Propag. 51(3), 421–429(2003), doi: 10.1109/TAP.2003.809853.
[10] T.-H. Chang and J.-F. Kiang, “Compact multi-band H-Shaped slot antenna,” IEEE Trans. Antennas Propag. 61(8), 4345–4349(2013), doi: 10.1109/TAP.2013.2262666.
[11] D. Peroulis, K. Sarabandi, and L. P. B. Katehi, BDesign of reconfigurable slot antennas, IEEE Trans. Antennas Propag. 53(2), 645–654(2005), doi: 10.1109/TAP.2004.841339.
[12] Y. Dong and T. Itoh, “Miniaturized substrate integrated waveguide slot antennas based on negative order resonance,” IEEE Trans. Antennas Propag. 58(12), 3856–3864(2010), doi: 10.1109/TAP.2010.2078449.
[13] R. J. Garbacz, “Modal expansions for resonance scattering phenomena,” Proc. IEEE 53(8), 856–864(1965), doi: 10.1109/PROC.1965.4064.
[14] C. Wang, Y. Chen, and S. Yang, “Bandwidth enhancement of a dual polarized slot antenna using characteristic modes,” IEEE Antennas Wireless Propag. Lett. 58(12), 988–992(2018), doi: 10.1109/LAWP.2018.2828881.
[15] J. Zhao, Y. Chen, and S. Yang, “In-band radar cross-section reduction of slot antenna using characteristic modes,” IEEE Antennas Wireless Propag. Lett. 17(7), 1166–1170(2018), doi: 10.1109/LAWP.2018.2836926.
[16] J.-Y. Jan and Jia, “Bandwidth enhancement of a printed wide-slot antenna with a rotated slot,” IEEE Trans. Antennas Propag. 53(6), 2111–2114(2005), doi: 10.1109/TAP.2005.848518.
[17] J.-F. Lin and Q.-X. Chu, “Increasing bandwidth of slot antennas with combined characteristic modes,” IEEE Trans. Antennas Propag. 66(6), 3148–3153(2018), doi: 10.1109/TAP.2018.2811846.
[18] C. He et al., “Photonic topological insulator with broken time-reversal symmetry,”Proc. Natl Acad. Sci. USA 113, 4924–4928 (2016), doi: 10.1073/pnas.1525502113.
[19] A. Slobozhanyuk et al., “Three-dimensional all-dielectric photonic topological insulator, ” Nat. Photonics 11, 130–136 (2017), doi: 10.1038/NPHOTON.2016.253
[20] B. Y. Xie et al., “Second-order photonic topological insulator with corner states, ”Phys. Rev. B 98(205147), (2018), doi:10.1103/PhysRevB.98.205147.
[21] Y. H. Yang et al., “Realization of a three-dimensional photonic topological insulator, ” Nature 565, 622–626 (2019), doi:10.1038/s41586-018-0829-0.
[22] E. Lustig et al., “Photonictopological insulator in synthetic dimensions,” Nature 567, 356–360 (2019) , doi:10.1038/s41586-019-0943-7.
[23] Z. Wang et al., “Observation of unidirectional backscattering-immune topological electromagnetic states,”Nature 461, 772–775 (2009) , doi:10.1038/nature08293.
[24] John D. Kraus, Antennas for all applications 3rd, McGraw-Hill College(2001).
[25] S. Schelkunoff, “Some equivalence theorems of electromagnetics and their application to radiation problems,”Bell Syst. Tech. J 15, 92–112 (1936) , doi: 10.1002/j.1538-7305.1936.tb00720.x.
[26] C. A. Balanis, Advanced Engineering Electromagnetics, John Wiley and Sons, New York(1989).
[27] J. D. Kraus and K. R. Carver, Electromagnetics 2nd, McGraw-Hill, New York(1973).
[28] A. E. H. Love, “I. The integration of the equations of propagation of electric waves,” Philos. Trans. R. Soc. London A 197, 1–45 (1901), doi:10.1112/PLMS/S2-10.1.91
[29] C. A. Balanis, Antenna Theory: Analysis and Design 3rd, Copyright© by John Wiley & Sons,Inc(2005)
[30] L. Josefsson and S. R. Rengarajan, Slotted Waveguide Array Antennas, Copyright© by the Berne Convention and the Universal Copyright Convention(2018)
[31] Y. Chen and C.-F. Wang, Characteristic Modes, Copyright© by John Wiley & Sons, Inc(2015)
[32] R. Garbacz and R. Turpin, ‘‘A generalized expansion for radiated and scattered fields, ’’ IEEE Trans. Antennas Propag. 19(3), 348–358(1971), doi: 10.1109/TAP.1971.1139935
[33] R. Garbacz and D. Pozar, “Antenna shape synthesis using characteristic modes,” IEEE Trans. Antennas Propag. 30(3), 340–350(1982), doi: 10.1109/TAP.1982.1142820
[34] R. Harrington and J. Mautz, “Computation of characteristic modes for conducting bodies,” IEEE Trans. Antennas Propag. AP-19(5), 629–639(1971), doi: 10.1109/TAP.1971.1139990
[35] K. von Klitzing, “The quantized Hall effect,” Rev. Mod. Phys., vol. 58, no. 3, pp. 519–531, Jul. 1986, doi: 10.1103/RevModPhys.58.519.
[36] F. D. M. Haldane, “Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the ‘Parity Anomaly, ” Phys. Rev. Lett. 61(18), 2015–2018(1988), doi: 10.1103/PhysRevLett.61.2015.
[37] C. L. Kane and E. J. Mele, “Quantum Spin Hall Effect in Graphene,” Phys. Rev. Lett. 95(22), 226801(2005), doi: 10.1103/PhysRevLett.95.226801.
[38] F. D. M. Haldane and S. Raghu, “Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry,” Phys. Rev. Lett. 100(1), 013904(2008), doi: 10.1103/PhysRevLett.100.013904.
[39] L.-H. Wu and X. Hu, “Scheme for Achieving a Topological Photonic Crystal by Using Dielectric Material,” Phys. Rev. Lett. 114(22), 223901(2015), doi: 10.1103/PhysRevLett.114.223901.
[40] Kane Yee, “Numerical solution of initial boundary value problems involving maxwell’s equations in isotropic media,” IEEE Trans. Antennas Propagat. 14(3), 302–307(1966), doi: 10.1109/TAP.1966.1138693.
[41] J.-P. Berenger, “A perfectly matched layer for the absorption of electromagnetic waves,” Journal of Computational Physics 114(2), 185–200(1994), doi: 10.1006/jcph.1994.1159.
[42] J. A. Roden and S. D. Gedney, “Convolution PML (CPML): An efficient FDTD implementation of the CFS-PML for arbitrary media,” Microw. Opt. Technol. Lett. 27(5), 334–339(2000), doi: 10.1002/1098-2760(20001205)27:5<334::AID-MOP14>3.0.CO;2-A.
[43] Allen Taflove, A. Computational Electrodynamics: The Finite-difference Time-domain Method 3rd, ©ARTECH HOUSE,Inc(2005)
[44] 林淯星, “利用有限差分時域法比較微帶線和拓樸波導饋送的相位陣列縫隙天線輻射,” 成大光電所碩士論文 (2023), https://thesis.lib.ncku.edu.tw/thesis/detail/921e190e10801747a43f42593fbb1460/
[45] 李佳翰, “有限差分時域法模擬微帶線液晶移相器饋送的陣列縫隙天線,” 成大光電所碩士論文 (2020), https://thesis.lib.ncku.edu.tw/thesis/detail/ea47350e4b8c35da515c31846521efca/