Abstract
This paper deals with an extensive review of incorporating compactness, multiband and wideband features in microstrip patch antennas and their arrays using electrodynamics of various fractal shapes. A fractal geometry uses self-similar or its own scaled down replica for increasing the perimeter of given shape. This gives rise to increased current length leading to miniaturization. Different fractal shapes like Minkowski Island, Koch snowflake, Sierpinski carpet, Sierpinski gasket, crossbar tree, and several polygonal shapes and their hybrids are discussed in this paper. Applications of these fractal shapes in the field of modern wireless systems are also discussed. This paper also incorporates quantitative analysis involved in achieving miniaturization and multiband properties of microstrip antennas due to fractalization.
Similar content being viewed by others
References
Kumar, G., & Ray, K. P. (2003). Broadband microstrip antennas. Boston, MA: Artech House Antennas and Propagation Library.
Balanis, C. A. (2012). Antenna theory: Analysis and design (3rd ed.). New York, NY: Wiley.
Liu, G., Xu, L., & Wu, Z. (2013). Miniaturized circularly polarized microstrip RFID antenna using fractal metamaterial. International Journal of Antennas and Propagation, Hindawi, Article ID-781357. doi:10.1155/2013/781357.
Prasad, P. C., & Chattoraj, N. (2013). Design of compact Ku band microstrip antenna for satellite communication. In IEEE international conference on communications and signal processing, pp. 196–200. doi:10.1109/iccsp.2013.6577042.
Wnuk, M., Kołosowski, W., Amanowicz, M., & Semeniuk, T. (2000). Active microstrip antenna for personal communication system. Wireless Personal Communications, 47–56. doi:10.1007/0-306-47010-1_5.
Cohen, N. (2005). Fractals’ new era in military antenna design. Defense Electronics, 12–17.
Garg, R., Bhartia, P., Bahl, I., & Ittipiboon, A. (2001). Microstrip antenna design handbook. Boston, MA: Artech House Antennas and Propagation Library.
Kumar, M., & Nath, V. (2016). Analysis of low mutual coupling compact multi-band microstrip patch antenna and its array using defected ground structure. Engineering Science and Technology, an International Journal, 19(2), 866–874. doi:10.1016/j.jestch.2015.12.003.
Kumar, M., & Nath, V. (2016). Dual-band microstrip line-fed antenna with fractal Spidron defected ground structure. 2016 International symposium on intelligent signal processing and communication systems (ISPACS), Phuket, Thailand, pp. 44–49. doi:10.1109/ISPACS.2016.7824700.
Kumar, M., & Nath, V. (2014). Development and integration of 1-D and 2-D electromagnetic band gap structures with Sierpinski and Minkowski microstrip fractal antenna. Journal of Computational Intelligence and Electronic Systems, 3(3), 168–176. doi:10.1016/j.jestch.2015.12.003.
Badawe, M. E., Almoneef, T., & Ramahi, O. M. (2016). A true metasurface antenna. 2016 IEEE international symposium on antennas and propagation (APSURSI), Fajardo, pp. 1903–1904. doi:10.1109/APS.2016.7696658.
Lee, C. T., & Su, S. W. (2011). Tri-band, stand-alone, PIFA with parasitic, inverted-L plate and vertical ground wall for WLAN applications. Microwave and Optical Technology Letters, 53, 1797–1803. doi:10.1002/mop.26116.
Guo, L., Wang, Y., Du, Z., Gao, Y., & Shi, D. (2014). A compact uniplanar printed dual-antenna operating at the 2.4/5.2/5.8 GHz WLAN bands for laptop computers. IEEE Antennas and Wireless Propagation Letters, 13, 229–232. doi:10.1109/LAWP.2014.2303495.
Liu, Y., Wang, Y., & Du, Z. (2015). A broadband dual-antenna system operating at the WLAN/WiMAX bands for laptop computers. IEEE Antennas and Wireless Propagation Letters, 14, 1060–1063. doi:10.1109/LAWP.2015.2394473.
Ansari, J. A., Yadav, N. P., Mishra, A., Singh, P., & Vishvakarma, B. R. (2012). Analysis of multilayer rectangular patch antenna for broadband operation. Wireless Personal Communications, 62(2), 315–327. doi:10.1007/s11277-010-0055-z.
Yang, W., Wang, H., Che, W., & Wang, J. A. (2013). Wideband and high-gain edge-fed patch antenna and array using artificial magnetic conductor structures. IEEE Antennas and Propagation Letters, 12, 769–772. doi:10.1109/LAWP.2013.2270943.
Lau, P. Y., Yung, K. K. O., & Chen, Z. N. (2011). A wideband high gain double EBG reflector antenna. Proceedings of the 8th international conference on information, communications and signal processing (ICICS 11), pp. 14. doi:10.1109/ICICS.2011.6174225.
Werner, D. H., Haupt, R. L., & Werner, P. L. (1999). Fractal antenna engineering: The theory and design of fractal antenna arrays. IEEE Antenna and Propagation Magazine, 41(5), 37–59. doi:10.1109/74.801513.
Werner, D. H., & Mittra, R. (1999). The theory and design of fractal antenna arrays (pp. 94–203). New York: Frontiers in Electromagnetics IEEE Press. http://as.wiley.com/WileyCDA/WileyTitle/productCd-0780347013,miniSiteCd-IEEE2.html.
Cohen, N. (2002). Fractal antennas and fractal resonators. US Patent 6, 452, 553 B1, 17th September 2002.
Kim, Y., & Jaggard, D. L. (1986). The fractal random array. Proceedings of the IEEE, 74(9), 1278–1280. doi:10.1109/PROC.1986.13617.
Frame, M., & Mandelbrot, B. (2015). A life in many dimensions. Fractals and dynamics in mathematics, science, and the arts: Theory and applications. Singapore: World Scientific Publishing. http://www.worldscientific.com/worldscibooks/10.1142/8238#t=toc.
Falconer, K. J. (2003). Fractal geometry: Mathematical foundations and applications (3rd ed.). New York, NY: Wiley.
Kraus, J. D. (1950). Antennas (1st ed.). New York, NY: Tata McGraw-Hill.
Landstorfer, F. M., & Sacher, R. R. (1985). Optimization of wire antennas. Letchworth, NY: Wiley, Research Studies Press.
DuHamel, R., & Isbell, D. (1957). Broadband logarithmically periodic antenna structures. In IRE national convention record, Part-I, New York, pp. 119-128. doi:10.1109/IRECON.1957.1150566.
Pfeiffer, A. (1994). The Pfeiffer Quad antenna system. QST, 28–32.
Naji, D. K., Aziz, J. S., & Fyath, R. S. (2012). Design and simulation of RFID aperture coupled fractal antennas. International Journal of Engineering Business Management: Intech Open Science, 4, 1–14. doi:10.5772/50927.
Cohen, N. (2000). Tuning fractal antennas and fractals resonators. US Patent 6, 104, 349, 15 August 2000.
Schmiade, U. (2004). Antenna and method of design. US Patent 2004/0017317, 24 January 2004.
Raga, B. C., & Islam, N. E. (2010). Optimized simulation algorithm for fractal generation and analysis. Progress in Electromagnetics Research M, 11, 225–240. doi:10.2528/PIERM10012610.
Kumar, M. (2014). Design and analysis of Minkowski fractal antenna using microstrip feed. International Journal of Application or Innovation Engineering and Management, 3(1), 223–233.
Sahal, M., & Tiwari, V. N. (2016). Review of circular polarization techniques for design of microstrip antenna. In Proc. Int. Conf. Recent Cognizance in Wireless Comm. and Image Processing, Springer India, pp. 663–669. doi:10.1007/978-81-322-2638-3_74.
Rao, P. N., & Sarma, N. V. S. N. (2008). Minkowski fractal boundary single feed circularly polarized microstrip antenna. Microwave and Optical Technology Letters, 50(11), 2820–22824. doi:10.1002/mop.23813.
Hung, T.-F., Liu, J.-C., Bor, S.-S., & Chen, C. C. (2011). Compact single-feed circularly polarized aperture-coupled stack antenna with Minkowski-Island-based fractal patch. Microwave and Optical Technology Letters, 54(10), 2278–2283. doi:10.1002/mop.27090.
Tripathi, S., Mohan, A., & Yadav, S. (2014). Ultra-wideband antenna using Minkowski-like fractal geometry. Microwave and Optical Technology Letters, 56(10), 2273–2279. doi:10.1002/mop.28571.
Manafi, S., & Deng, H. (2014). Design of a small modified Minkowski fractal antenna for passive deep brain simulation implants. International Journal of Antennas and Propagation, Hindawi, Article ID, 749043. doi:10.1155/2014/749043.
Puente, C., Romeu, J., Pous, R., & Hijazo, A. (1998). Small but long Koch fractal monopole. Electronics Letters, 34(1), 9–10. doi:10.1049/el:19980114.
Vinoy, K. J., Abraham, J. K., & Varadan, V. K. (2003). On the relationship between fractal dimension and the performance of multi-resonant dipole antennas using Koch curves. IEEE Transactions on Antennas and Propagation, 51(9), 2296–2303. doi:10.1109/TAP.2003.816352.
Baliarda, C. P., Romeu, J., & Cardama, A. (2000). The Koch monopole: A small fractal antenna. IEEE Transactions on Antennas and Propagation, 48(11), 1773–1781. doi:10.1109/8.900236.
Best, S. R. (2002). On the resonant behavior of the small Koch fractal monopole antenna. Microwave and Optical Technology Letters, 35(4), 311–315. doi:10.1002/mop.10593.
Borja, C., & Romeu, J. (2003). On the behavior of Koch Island fractal boundary microstrip patch antenna. IEEE Transactions on Antennas and Propagation, 51(6), 1281–1291. doi:10.1109/TAP.2003.811479.
Rao, P. N., & Sarma, N. V. S. N. (2008). The effect of indentation angle of Koch fractal boundary on the performance of microstrip antenna. International Journal of Antennas and Propagation, Hindawi, Article ID, 387686. doi:10.1155/2008/387686.
Zarrabi, F. B., Mansouri, Z., Gandji, N. P., & Kuhestani, H. (2015). Triple-notch UWB monopole antenna with fractal Koch and T-shaped stub. International Journal of Electronics and Communications (AEU), 70(1), 64–69. doi:10.1016/j.aeue.2015.10.001.
Kumar, Y., & Singh, S. (2015). A compact multiband hybrid fractal antenna for multistandard mobile wireless applications. Wireless Personal Communications, Springer-Science, 84(1), 57–67. doi:10.1007/s11277-015-2593-x.
Jahromi, M. N., Falahati, A., & Edwards, R. M. (2011). Bandwidth and impedance-matching enhancement of fractal monopole antennas using compact grounded coplanar waveguide. IEEE Transactions on Antennas and Propagation, 59(7), 2480–2487. doi:10.1109/TAP.2011.2152321.
Chen, W. L., Wang, G. M., & Zhang, C. X. (2008). Small-size microstrip patch antennas combining Koch and Sierpinski fractal shapes. IEEE Antennas and Wireless Propagation Letters, 7, 738–741. doi:10.1109/LAWP.2008.2002808.
Ghatak, R., Karmakar, A., & Poddar, D. R. (2012). Hexagonal boundary Sierpinski carpet fractal shaped compact ultrawideband antenna with band rejection functionality. International Journal of Electronics and Communications (AEU), 67(3), 250–255. doi:10.1016/j.aeue.2012.08.007.
Sierpinski, W. (1915). Sur une courbe dont tout point est un point de ramification (pp. 160–320). Paris: C. R. Acad.
Puente, C., Romeu, J., Pous, R., Gracia, X., & Benitez, F. (1996). Fractal multiband antenna based on the Sierpinski gasket. Electronics Letters, 32(1), 1–2. doi:10.1049/el:19960033.
Puente, C., Romeu, J., Pous, R., & Cardama, A. (1998). On the behavior of the Sierpinski multiband fractal antenna. IEEE Transactions on Antennas and Propagation, 46(4), 517–524. doi:10.1109/8.664115.
Puente, C., Borja, C., Rodero, M. N., & Romeu, J. (2000). An iterative model for fractal antennas: Application to the Sierpinski gasket antenna. IEEE Transactions on Antennas and Propagation, 48(5), 713–719. doi:10.1109/8.855489.
Singh, A., & Singh, S. (2015). A modified coaxial probe-fed Sierpinski fractal wideband and high gain antenna. International Journal of Electronics and Communications (AEU), 69(6), 884–889. doi:10.1016/j.aeue.2015.02.001.
Chowdary, P. S. R., Prasad, A. M., Rao, P. M., & Anguera, J. (2015). Design and performance study of Sierpinski fractal based patch antennas for multiband and miniaturization characteristics. Wireless Personal Communications: Springer-US, 83(3), 1713–1730. doi:10.1007/s11277-015-2472-5.
Mishra, R. K., Ghatak, R., & Poddar, D. R. (2008). Design formula for Sierpinski gasket pre-fractal planar-monopole antennas. IEEE Antennas and Propagation Magazine, 50(3), 104–107. doi:10.1109/MAP.2008.4563575.
Moghadasi, M. N., Sadeghzadeh, R. A., Aribi, T., Sedghi, T., & Virdee, B. (2013). UWB CPW-fed fractal patch antenna with band-notched function employing folded T-shaped element. IEEE Antennas and Wireless Propagation Letters, 12, 504–507. doi:10.1109/LAWP.2013.2256455.
Varadhan, C., Pakkathillam, J. K., Kanagasabai, M., Sivasamy, R., Natarajan, R., & Palaniswamy, S. K. (2013). Triband antenna structures for RFID systems deploying fractal geometry. IEEE Antennas and Wireless Propagation Letters, 12, 437–440. doi:10.1109/LAWP.2013.2254458.
Kumar, M. & Nath, V. (2016). Design and simulation of tri-band Spidron fractal equilateral triangle microstrip antenna. In 2016 International conference on advances in computing, communications and informatics (ICACCI), Jaipur, 2016, pp. 287–293. doi:10.1109/ICACCI.2016.7732061.
Reha, A, Amri, A. E., & Benhmammouch, O. (2016). CPW-fed dragon fractal antenna for UWB applications. In Advances in ubiquitous networking 2: Proceedings of the UNet’16, Springer Singapore, pp. 423–429. doi:10.1007/978-981-10-1627-1_33.
Gorai, A., Karmakar, A., Pal, M., & Ghatak, R. (2013). Multiple fractal-shaped slots-based UWB antenna with triple-band notch functionality. Journal of Electromagnetic Waves and Applications, 27(18), 2407–2415. doi:10.1080/09205071.2013.852486.
Acknowledgements
The authors would like to acknowledge Ministry of Electronics and Information Technology, Govt. of India for supporting this research under Visvesvaraya PhD scheme for Electronics and IT. Funding was provided by Department of Electronics and Information Technology, Ministry of Communications and Information Technology (Grant No. PhD-MLA/4(60)/2015-16).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kumar, M., Nath, V. Introducing Multiband and Wideband Microstrip Patch Antennas Using Fractal Geometries: Development in Last Decade. Wireless Pers Commun 98, 2079–2105 (2018). https://doi.org/10.1007/s11277-017-4965-x
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11277-017-4965-x