Abstract
THz waves generated by signal sources (topic in Chap. 2) will be detected by detectors (topic in Chap. 3) after propagating through a medium. In this chapter, the propagation of THz waves and related topics will be discussed. A popular propagation method in the lower frequency ranges, such as RF and microwave, is through coaxial cables. However, the loss will grow with frequency, and it will reach a point where it become prohibitively large for practical uses. Beyond such a point, various types of waveguides, most notably the metallic rectangular waveguides, will be better suited for the propagation of electromagnetic waves. Nevertheless, they also have their own loss-dominated frequency upper limit. The favorable solution beyond this limit would be the propagation through free space, guided by optical components such as lenses and mirrors. The THz band is situated across the region that prefers the propagation through the waveguides or free space. The two propagation schemes will be the main topics in this chapter and described as individual sections. In the case of propagation through free space, usually in the form of Gaussian beam, a device that converts guided waves (or AC signal) to radiated electromagnetic waves (and vice versa) will be needed. The device, or antenna, will be also treated in this chapter as a separate section with focus on its THz application.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
P.F. Goldsmith, Quasioptical Systems (IEEE Press, Piscataway, NJ, 1998)
O. Svelto, D.C. Hanna, Principles of Lasers, 5th edn. (Springer, Berlin, 1998)
A.E. Siegman, Lasers (University Science Books, Sausalito, CA, 1986)
H.T. Yura, S.G. Hanson, Optical beam wave propagation through complex optical systems. J. Opt. Soc. Am. 4(10), 1931–1948 (1987)
C.A. Balanis, Antenna Theory: Analysis and Design (John Wiley & Sons, Hoboken, NJ, 2016)
W.L. Stutzman, G.A. Thiele, Antenna Theory and Design (John Wiley & Sons, Hoboken, NJ, 2012)
G.M. Rebeiz, Millimeter-wave and terahertz integrated circuit antennas. Proc. IEEE 80(11), 1748–1770 (1992)
I. A. P. Society, IEEE Standard for Definitions of Terms for Antennas (IEEE, New York, 1993). 9780738189277, https://books.google.com/books?id=dc17swEACAAJ
J.S. McLean, A re-examination of the fundamental limits on the radiation Q of electrically small antennas. IEEE Trans. Antennas Propag. 44(5), 672 (1996). https://doi.org/10.1109/8.496253
R.C. Hansen, Fundamental limitations in antennas. Proc. IEEE 69(2), 170–182 (1981). https://doi.org/10.1109/PROC.1981.11950
Y.P. Zhang, M. Sun, L.H. Guo, On-chip antennas for 60-GHz radios in silicon technology. IEEE Trans. Electron Devices 52(7), 1664–1668 (2005). https://doi.org/10.1109/TED.2005.850628
S.-S. Hsu, K.-C. Wei, C.-Y. Hsu, H.-R. Chuang, A 60-GHz millimeter-wave CPW-fed Yagi antenna fabricated by using 0.18-μm CMOS technology. IEEE Electron Device Lett. 29(6), 625–627 (2008). https://doi.org/10.1109/LED.2008.920852
F. Schuster et al., A broadband THz imager in a low-cost CMOS technology, in IEEE International Solid-State Circuits Conference Digest of Technical Papers (2011), pp. 42–43. https://doi.org/10.1109/isscc.2011.5746211
T. Tajima, H. Song, K. Ajito, M. Yaita, N. Kukutsu, 300-GHz step-profiled corrugated horn antennas integrated in LTCC. IEEE Trans. Antennas Propag. 62(11), 5437–5444 (2014). https://doi.org/10.1109/TAP.2014.2350520
H.M. Cheema, A. Shamim, The last barrier: On-chip antennas. IEEE Microw. Mag. 14(1), 79–91 (2013). https://doi.org/10.1109/MMM.2012.2226542
K.O. Kenneth et al., On-chip antennas in silicon ICs and their application. IEEE Trans. Electron Devices 52(7), 1312–1323 (2005). https://doi.org/10.1109/TED.2005.850668
E. Ojefors, U.R. Pfeiffer, A 650GHz SiGe receiver front-end for terahertz imaging arrays, in IEEE International Solid-State Circuits Conference Digest of Technical Papers (2010), pp. 430–431
U.R. Pfeiffer, E. Ojefors, A 600-GHz CMOS focal-plane array for terahertz imaging applications, in 34th European Solid-State Circuits Conference (2008), pp. 110–113
D. Yoon, J. Kim, J. Yun, M. Kaynak, B. Tillack, J.-S. Rieh, 300-GHz direct and heterodyne active imagers based on 0.13-μm SiGe HBT technology. IEEE Trans. Terahertz Sci. Technol. 7(5), 536–545 (2017)
A. Babakhani, X. Guan, A. Komijani, A. Natarajan, A. Hajimiri, A 77-GHz phased-array transceiver with on-Chip antennas in silicon: Receiver and antennas. IEEE J. Solid State Circuits 41(12), 2795–2806 (2006). https://doi.org/10.1109/JSSC.2006.884811
N.G. Alexopoulos, P.B. Katehi, D.B. Rutledge, Substrate optimization for integrated circuit antennas. IEEE Trans. Microw. Theory Tech. 31(7), 550–557 (1983). https://doi.org/10.1109/TMTT.1983.1131544
H.-J. Song, J.-Y. Kim, K. Ajito, N. Kukutsu, M. Yaita, 50-Gb/s direct conversion QPSK modulator and demodulator MMICs for terahertz communications at 300 GHz. IEEE Trans. Microw. Theory Tech. 62(3), 600–609 (2014)
J. Kim et al., Three-dimensional terahertz tomography with transistor-based signal source and detector circuits operating near 300 GHz. IEEE Trans. Terahertz Sci. Technol. 8(5), 482–491 (2018). https://doi.org/10.1109/TTHZ.2018.2851542
M. Asada, S. Suzuki, N. Kishimoto, Resonant tunneling diodes for sub-terahertz and terahertz oscillators. Jpn. J. Appl. Phys. 47(6), 4375–4384 (2008). https://doi.org/10.1143/jjap.47.4375
R. Han, E. Afshari, A CMOS high-power broadband 260-GHz radiator array for spectroscopy. IEEE J. Solid State Circuits 48(12), 3090–3104 (2013). https://doi.org/10.1109/JSSC.2013.2272864
Z. Hu, M. Kaynak, R. Han, High-power radiation at 1 THz in silicon: A fully scalable array using a multi-functional radiating mesh structure. IEEE J. Solid State Circuits 53(5), 1313–1327 (2018). https://doi.org/10.1109/JSSC.2017.2786682
H.G. Booker, Slot aerials and their relation to complementary wire aerials (Babinet’s principle). J. Inst. Electric. Eng. IIIA Radiolocation 93(4), 620–626 (1946)
K. Carver, J. Mink, Microstrip antenna technology. IEEE Trans. Antennas Propag. 29(1), 2–24 (1981)
E.O. Hammerstad, Equations for microstrip circuit design, in 1975 5th European Microwave Conference, (IEEE, New York, 1975), pp. 268–272
D.R. Jackson, N.G. Alexopoulos, Simple approximate formulas for input resistance, bandwidth, and efficiency of a resonant rectangular patch. IEEE Trans. Antennas Propag. 39(3), 407–410 (1991). https://doi.org/10.1109/8.76341
E. Seok et al., Progress and challenges towards terahertz CMOS integrated circuits. IEEE J. Solid State Circuits 45(8), 1554–1564 (2010). https://doi.org/10.1109/JSSC.2010.2049793
E. Ojefors, J. Grzyb, Y. Zhao, B. Heinemann, B. Tillack, U.R. Pfeiffer, A 820GHz SiGe chipset for terahertz active imaging applications, in IEEE International Solid-State Circuits Conference (2011), pp. 224–226
D. Yoon, K. Song, J. Kim, M. Kaynak, B. Tillack, J.-S. Rieh, A D-band active imager in a SiGe HBT technology. J. Infrared Millimeter Terahertz Waves 36(4), 335–349 (2015)
E. Seok et al., A 410GHz CMOS push-push oscillator with an on-chip patch antenna, in IEEE International Solid-State Circuits Conference (ISSCC), (IEEE, New York, 2008), pp. 472–629
R. Han et al., A 280-GHz Schottky diode detector in 130-nm digital CMOS. IEEE J. Solid State Circuits 46(11), 2602–2612 (2011). https://doi.org/10.1109/JSSC.2011.2165234
S. Chai, S. Lim, S. Hong, THz detector with an antenna coupled stacked CMOS plasma-wave FET. IEEE Microw. Wirel. Compon. Lett. 24(12), 869–871 (2014). https://doi.org/10.1109/LMWC.2014.2353211
C. Li, T. Chiu, 340-GHz low-cost and high-gain on-chip higher order mode dielectric resonator antenna for THz applications. IEEE Trans. Terahertz Sci. Technol. 7(3), 284–294 (2017). https://doi.org/10.1109/TTHZ.2017.2670234
J.M. Edwards, G.M. Rebeiz, High-efficiency elliptical slot antennas with quartz superstrates for silicon RFICs. IEEE Trans. Antennas Propag. 60(11), 5010–5020 (2012). https://doi.org/10.1109/TAP.2012.2207353
W. Choe, J. Jeong, Broadband THz CMOS on-chip antenna using stacked resonators, in 2017 IEEE International Symposium on Radio-Frequency Integration Technology (2017), pp. 208–210. https://doi.org/10.1109/RFIT.2017.8048251
K.M. Lee, I.J. Lee, S. Jeon, M. Kim, J.S. You, 300 GHz InP rectangular cavity antenna, in 2015 IEEE International Symposium on Antennas and Propagation (2015), pp. 2105–2106. https://doi.org/10.1109/APS.2015.7305442
V. Rumsey, Frequency independent antennas. IRE Int. Conven. Record 5, 114–118 (1957). https://doi.org/10.1109/IRECON.1957.1150565
P.E. Mayes, Frequency-independent antennas and broad-band derivatives thereof. Proc. IEEE 80(1), 103–112 (1992). https://doi.org/10.1109/5.119570
J. Dyson, The equiangular spiral antenna. IRE Trans. Antennas Propag. 7(2), 181–187 (1959)
R. DuHamel, D. Isbell, Broadband logarithmically periodic antenna structures. IRE Int. Conven. Record 5, 119–128 (1957). https://doi.org/10.1109/IRECON.1957.1150566
A.D. Semenov et al., Terahertz performance of integrated lens antennas with a hot-electron bolometer. IEEE Trans. Microw. Theory Tech. 55(2), 239–247 (2007). https://doi.org/10.1109/TMTT.2006.889153
S.-P. Han et al., Compact fiber-pigtailed InGaAs photoconductive antenna module for terahertz-wave generation and detection. Opt. Express 20(16), 18432–18439 (2012)
S. Lepeshov et al., Boosting terahertz photoconductive antenna performance with optimised plasmonic nanostructures. Sci. Rep. 8 (2018)
S. Verghese, K.A. McIntosh, E.R. Brown, Highly tunable fiber-coupled photomixers with coherent terahertz output power. IEEE Trans. Microw. Theory Tech. 45(8), 1301–1309 (1997). https://doi.org/10.1109/22.618428
R. Mendis, C. Sydlo, J. Sigmund, M. Feiginov, P. Meissner, H.L. Hartnagel, Tunable CW-THz system with a log-periodic photoconductive emitter. Solid State Electron. 48(10–11), 2041–2045 (2004)
S. Yang, M.R. Hashemi, C.W. Berry, M. Jarrahi, 7.5% optical-to-terahertz conversion efficiency offered by photoconductive emitters with three-dimensional plasmonic contact electrodes. IEEE Trans. Terahertz Sci. Technol. 4(5), 575–581 (2014). https://doi.org/10.1109/TTHZ.2014.2342505
D.M. Pozar, Microwave Engineering (John Wiley & Sons, Hoboken, NJ, 2009)
R. Garg, I. Bahl, M. Bozzi, Microstrip Lines and Slotlines (Artech house, Boston, MA, 2013)
I.J. Bahl, D.K. Trivedi, A designer’s guide to microstrip line. Microwaves 16(5), 174–182 (1977)
R.A. Pucel, D.J. Masse, C.P. Hartwig, Losses in microstrip. IEEE Trans. Microw. Theory Tech. 16(6), 342–350 (1968). https://doi.org/10.1109/TMTT.1968.1126691
L. Maloratsky, Passive RF and Microwave Integrated Circuits (Elsevier, Amsterdam, 2003)
L.J. van der Pauw, The radiation of electromagnetic power by microstrip configurations. IEEE Trans. Microw. Theory Tech. 25(9), 719–725 (1977). https://doi.org/10.1109/TMTT.1977.1129201
C.P. Wen, Coplanar waveguide: A surface strip transmission line suitable for nonreciprocal gyromagnetic device applications. IEEE Trans. Microw. Theory Tech. 17(12), 1087–1090 (1969). https://doi.org/10.1109/TMTT.1969.1127105
A. Komijani, A. Hajimiri, A wideband 77-GHz, 17.5-dBm fully integrated power amplifier in silicon. IEEE J. Solid State Circuits 41(8), 1749–1756 (2006)
G. Ghione, C. Naldi, Analytical formulas for coplanar lines in hybrid and monolithic MICs. Electron. Lett. 20(4), 179–181 (1984). https://doi.org/10.1049/el:19840120
S.S. Gevorgian, Basic characteristics of two layered substrate coplanar waveguides. Electron. Lett. 30(15), 1236–1237 (1994). https://doi.org/10.1049/el:19940861
S.B. Cohn, Slot line on a dielectric substrate. IEEE Trans. Microw. Theory Tech. 17(10), 768–778 (1969). https://doi.org/10.1109/TMTT.1969.1127058
E.A. Mariani, C.P. Heinzman, J.P. Agrios, S.B. Cohn, Slot line characteristics. IEEE Trans. Microw. Theory Tech. 17(12), 1091–1096 (1969). https://doi.org/10.1109/TMTT.1969.1127106
P. Toulios, R. Knox, Rectangular dielectric image lines for millimeter integrated circuits, in Western Electronic Show and Convention (1970), pp. 25–28
W.V. McLevige, T. Itoh, R. Mittra, New waveguide structures for millimeter-wave and optical integrated circuits. IEEE Trans. Microw. Theory Tech. 23(10), 788–794 (1975). https://doi.org/10.1109/TMTT.1975.1128684
T. Itoh, R. Mittra, New waveguide structures for millimeter-wave integrated circuits, in IEEE-MTT-S International Microwave Symposium (1975), pp. 277–280. https://doi.org/10.1109/MWSYM.1975.1123359
T. Itoh, Inverted strip dielectric waveguide for millimeter-wave integrated circuits. IEEE Trans. Microw. Theory Tech. 24(11), 821–827 (1976). https://doi.org/10.1109/TMTT.1976.1128967
E.A.J. Marcatili, Dielectric rectangular waveguide and directional coupler for integrated optics. Bell Syst. Tech. J. 48(7), 2071–2102 (1969). https://doi.org/10.1002/j.1538-7305.1969.tb01166.x
P. Bhartia, I.J. Bahl, Millimeter Wave Engineering and Applications (Wiley, New York, 1984)
D. Marcuse, Theory of Dielectric Optical Waveguides (Elsevier, Amsterdam, 2013)
S. Fukuda et al., A 12.5+12.5 Gb/s full-duplex plastic waveguide interconnect. IEEE J. Solid State Circuits 46(12), 3113–3125 (2011). https://doi.org/10.1109/JSSC.2011.2168870
N.V. Thienen, W. Volkaerts, P. Reynaert, A multi-gigabit CPFSK polymer microwave fiber communication link in 40 nm CMOS. IEEE J. Solid State Circuits 51(8), 1952–1958 (2016). https://doi.org/10.1109/JSSC.2016.2580605
M.V. Schneider, B. Glance, W.F. Bodtmann, Microwave and millimeter wave hybrid integrated circuits for radio systems. Bell Syst. Tech. J. 48(6), 1703–1726 (1969). https://doi.org/10.1002/j.1538-7305.1969.tb01147.x
G.E. Ponchak, R.N. Simons, A new rectangular waveguide to coplanar waveguide transition, in IEEE MTT-S International Microwave Symposium Digest (1990), pp. 491–492. https://doi.org/10.1109/mwsym.1990.99626
L.J. Lavedan, Design of waveguide-to-microstrip transitions specially suited to millimetre-wave applications. Electron. Lett. 13(20), 604–605 (1977). https://doi.org/10.1049/el:19770434
J.V. Bellantoni, R.C. Compton, H.M. Levy, A new W-band coplanar waveguide test fixture, in IEEE MTT-S International Microwave Symposium Digest (1989), pp. 1203–1204. https://doi.org/10.1109/mwsym.1989.38940
V.S. Mottonen, Wideband coplanar waveguide-to-rectangular waveguide transition using fin-line taper. IEEE Microw. Wirel. Compon. Lett. 15(2), 119–121 (2005). https://doi.org/10.1109/LMWC.2004.842855
C. Groppi, C.Y.D. d’Aubigny, A.W. Lichtenberger, C.M. Lyons, C.K. Walker, Broadband finline ortho-mode transducer for the 750–1150 GHz band, in Proc. 16th Int. Symp. Space Terahertz Technol. (2005), pp. 513–518
L.A. Samoska, An overview of solid-state integrated circuit amplifiers in the submillimeter-wave and THz regime. IEEE Trans. Terahertz Sci. Technol. 1(1), 9–24 (2011). https://doi.org/10.1109/TTHZ.2011.2159558
P. Kittara, P. Grimes, G. Yassin, S. Withington, K. Jacobs, S. Wulff, A 700-GHz SIS antipodal finline mixer fed by a Pickett-Potter horn-reflector antenna. IEEE Trans. Microw. Theory Tech. 52(10), 2352–2360 (2004). https://doi.org/10.1109/TMTT.2004.835976
T.Q. Ho, Y.-C. Shih, Y.-C. Shih, Spectral-domain analysis of E-plane waveguide to microstrip transitions. IEEE Trans. Microw. Theory Tech. 37(2), 388–392 (1989). https://doi.org/10.1109/22.20065
Y.-C. Leong, S. Weinreb, Full band waveguide-to-microstrip probe transitions, in IEEE MTT-S International Microwave Symposium Digest, vol. 4 (1999), pp. 1435–1438. https://doi.org/10.1109/MWSYM.1999.780219
Y. Shih, T. Ton, L.Q. Bui, Waveguide-to-microstrip transitions for millimeter-wave applications, in IEEE MTT-S International Microwave Symposium Digest (1988), pp. 473–475. https://doi.org/10.1109/MWSYM.1988.22077
L. Samoska, A. Peralta, H. Ming, M. Micovic, A. Schmitz, A 20 mW, 150 GHz InP HEMT MMIC power amplifier module. IEEE Microw. Wirel. Compon. Lett. 14(2), 56–58 (2004). https://doi.org/10.1109/LMWC.2003.822575
P.H. Siegel, R.P. Smith, M.C. Graidis, S.C. Martin, 2.5-THz GaAs monolithic membrane-diode mixer. IEEE Trans. Microw. Theory Tech. 47(5), 596–604 (1999). https://doi.org/10.1109/22.763161
K.M.K.H. Leong et al., A 340–380 GHz integrated CB-CPW-to-waveguide transition for sub millimeter-wave MMIC packaging. IEEE Microw. Wirel. Compon. Lett. 19(6), 413–415 (2009). https://doi.org/10.1109/LMWC.2009.2020043
W. Choe, J. Jeong, A broadband THz on-chip transition using a dipole antenna with integrated balun. Electronics 7(10), 236 (2018)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Rieh, JS. (2021). THz Propagation and Related Topics. In: Introduction to Terahertz Electronics. Springer, Cham. https://doi.org/10.1007/978-3-030-51842-4_4
Download citation
DOI: https://doi.org/10.1007/978-3-030-51842-4_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-51841-7
Online ISBN: 978-3-030-51842-4
eBook Packages: EngineeringEngineering (R0)