{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,17]],"date-time":"2026-04-17T17:00:45Z","timestamp":1776445245456,"version":"3.51.2"},"reference-count":48,"publisher":"MDPI AG","issue":"19","license":[{"start":{"date-parts":[[2021,9,22]],"date-time":"2021-09-22T00:00:00Z","timestamp":1632268800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In this paper, a novel analytical design technique is presented to implement a coupled-line wideband Wilkinson power divider (WPD). The configuration of the WPD is comprised of three distinct coupled-line and three isolation resistors. A comprehensive theoretical analysis is conducted to arrive at a set of completely new and rigorous design equations utilizing the dual-band behavior of commensurate transmission lines. Further, the corresponding S-parameters equations are also derived, which determine the wideband capability of the proposed WPD. To validate the proposed design concept, a prototype working at the resonance frequencies of 0.9 GHz and 1.8 GHz is designed and fabricated using 60 mils thick Rogers\u2019 RO4003C substrate. The measured result of the fabricated prototype exhibits an excellent input return loss &gt; 16.4 dB, output return loss &gt; 15 dB, insertion loss &lt; 3.30 dB and a remarkable isolation &gt; 22 dB within the band and with a 15 dB and 10 dB references provide a fractional bandwidth of 110% and 141%, respectively.<\/jats:p>","DOI":"10.3390\/s21196330","type":"journal-article","created":{"date-parts":[[2021,9,22]],"date-time":"2021-09-22T22:50:48Z","timestamp":1632351048000},"page":"6330","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["A Novel Analytical Design Technique for a Wideband Wilkinson Power Divider Using Dual-Band Topology"],"prefix":"10.3390","volume":"21","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2784-6885","authenticated-orcid":false,"given":"Asif I.","family":"Omi","sequence":"first","affiliation":[{"name":"Department of Engineering & Computer Science, Washington State University Vancouver, Vancouver, WA 98686, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6406-2919","authenticated-orcid":false,"given":"Rakibul","family":"Islam","sequence":"additional","affiliation":[{"name":"Department of Electrical & Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5344-3954","authenticated-orcid":false,"given":"Mohammad A.","family":"Maktoomi","sequence":"additional","affiliation":[{"name":"Department of Physics & Engineering, The University of Scranton, Scranton, PA 18510, USA"}]},{"given":"Christine","family":"Zakzewski","sequence":"additional","affiliation":[{"name":"Department of Physics & Engineering, The University of Scranton, Scranton, PA 18510, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4669-535X","authenticated-orcid":false,"given":"Praveen","family":"Sekhar","sequence":"additional","affiliation":[{"name":"Department of Engineering & Computer Science, Washington State University Vancouver, Vancouver, WA 98686, USA"}]}],"member":"1968","published-online":{"date-parts":[[2021,9,22]]},"reference":[{"key":"ref_1","unstructured":"Pozar, D.M. (2012). Microwave Engineering, John Wiley & Sons, Inc.. [4th ed.]."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"116","DOI":"10.1109\/TMTT.1960.1124668","article-title":"An N-way hybrid power divider","volume":"8","author":"Wilkinson","year":"1960","journal-title":"IEEE Trans. Microw. Theory Tech."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"110","DOI":"10.1109\/TMTT.1968.1126617","article-title":"A class of broadband three-port TEM-mode hybrids","volume":"16","author":"Cohn","year":"1968","journal-title":"IEEE Trans. Microw. Theory Tech."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"2220","DOI":"10.1109\/TMTT.2006.872786","article-title":"Design and optimization of broadband asymmetrical multisection wilkinson power divider","volume":"54","author":"Oraizi","year":"2006","journal-title":"IEEE Trans. Microw. Theory Tech."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"605","DOI":"10.1109\/TCPMT.2016.2518581","article-title":"Theoretical design of broadband multisection Wilkinson power dividers with arbitrary power split ratio","volume":"6","author":"Honari","year":"2016","journal-title":"IEEE Trans. Compon. Packag. Manuf. Technol."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"2783","DOI":"10.1109\/TMTT.2009.2032345","article-title":"Broadband micro-coaxial Wilkinson dividers","volume":"57","author":"Ehsan","year":"2009","journal-title":"IEEE Trans. Microw. Theory Tech."},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Lim, J.-S., Park, U.-H., Oh, S., Koo, J.-J., Jeong, Y.-C., and Ahn, D. (2006, January 11\u201316). A 800- to 3200-MHz wideband CPW balun using multistage Wilkinson structure. Proceedings of the 2006 IEEE MTT-S International Microwave Symposium Digest, San Francisco, CA, USA.","DOI":"10.1109\/MWSYM.2006.249392"},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Wentzel, A., Subramanian, V., Sayed, A., and Boeck, G. (2006, January 10\u201315). Novel broadband Wilkinson power combiner. Proceedings of the 2006 European Microwave Conference, Manchester, UK.","DOI":"10.1109\/EUMC.2006.281256"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1109\/LMWC.2005.859972","article-title":"A wideband compact parallel-strip 180 Wilkinson power divider for push\u2013pull circuitries","volume":"16","author":"Chiu","year":"2006","journal-title":"IEEE Microw. Wireless Compon. Lett."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"518","DOI":"10.1109\/LMWC.2008.2001009","article-title":"Ultra-wideband power dividers with good isolation and sharp roll-off skirt","volume":"18","author":"Wong","year":"2008","journal-title":"IEEE Microw. Wireless Compon. Lett."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1109\/LMWC.2010.2091262","article-title":"Ultra-wideband power divider using multi-wafer packaging technology","volume":"21","author":"Lan","year":"2011","journal-title":"IEEE Microw. Wireless Compon. Lett."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1109\/LMWC.2003.821491","article-title":"Broadband folded Wilkinson power splitter","volume":"14","author":"Sun","year":"2004","journal-title":"IEEE Microw. Wireless Compon. Lett."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Chen, C.-C., Cin, J.-J., Wang, S.-H., Lin, C.-C., and Tzuang, C.-K.C. (2008, January 23\u201325). A novel miniaturized wideband Wilkinson power divider employing two-dimensional transmission line. Proceedings of the 2008 IEEE International Symposium on VLSI Design, Automation and Test (VLSI-DAT), Hsinchu, Taiwan.","DOI":"10.1109\/VDAT.2008.4542450"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"837","DOI":"10.1109\/LMWC.2007.910475","article-title":"A -band CMOS Wilkinson power divider using synthetic quasi-TEM transmission lines","volume":"17","author":"Chiang","year":"2007","journal-title":"IEEE Microw. Wireless Compon. Lett."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"2232","DOI":"10.1109\/TMTT.2009.2027169","article-title":"Dual-band Wilkinson divider with coupled output port extensions","volume":"57","author":"Park","year":"2009","journal-title":"IEEE Trans. Microw. Theory Tech."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"286","DOI":"10.1109\/TMTT.2010.2084096","article-title":"An analytical approach for a novel coupled-line dual-band Wilkinson power divider","volume":"59","author":"Wu","year":"2011","journal-title":"IEEE Trans. Microw. Theory Tech."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Chang, T.-J., Tsao, Y.-F., Huang, T.-J., and Hsu, H.-T. (2020). Bandwidth Improvement of Conventional Dual-Band Power Divider Using Physical Port Separation Structure. Electronics, 9.","DOI":"10.3390\/electronics9122192"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Vincenti Gatti, R., Rossi, R., and Dionigi, M. (2021). Wideband Rectangular Waveguide to Substrate Integrated Waveguide (SIW) E-Plane T-Junction. Electronics, 10.","DOI":"10.3390\/electronics10030264"},{"key":"ref_19","unstructured":"Kawai, T., Yamasaki, J., Kokubo, Y., and Ohta, I. (2006, January 12\u201315). A design method of dual-frequency Wilkinson power divider. Proceedings of the 2006 Asia-Pacific Microwave Conference, Yokohama, Japan."},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Wang, X., and Sakagami, I. (2011, January 5\u201310). Generalized dual-frequency Wilkinson power dividers with a series\/parallel RLC circuit. Proceedings of the 2011 IEEE MTT-S International Microwave Symposium, Baltimore, MD, USA.","DOI":"10.1109\/MWSYM.2011.5972671"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1079","DOI":"10.1049\/iet-map.2008.0314","article-title":"Unequal dual-frequency Wilkinson power divider including series resistor-inductor-capacitor isolation structure","volume":"3","author":"Wu","year":"2009","journal-title":"IET Microw. Antennas Propag."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"216","DOI":"10.1109\/TMTT.2008.2008981","article-title":"A dual band unequal Wilkinson power divider without reactive components","volume":"57","author":"Wu","year":"2009","journal-title":"IEEE Trans. Microw. Theory Tech."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1109\/TCPMT.2010.2104323","article-title":"Dual-and triple-band Wilkinson power dividers based on composite right-and left-handed transmission lines","volume":"1","author":"Genc","year":"2011","journal-title":"IEEE Trans. Compon. Packag. Manuf. Tech."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"2768","DOI":"10.1109\/TMTT.2012.2206402","article-title":"A modified Wilkinson power divider with isolation bandwidth improvement","volume":"60","author":"Kao","year":"2012","journal-title":"IEEE Trans. Microw. Theory Tech."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"888","DOI":"10.1109\/LMWC.2017.2745484","article-title":"A compact bandpass Wilkinson power divider with ultra-wide band harmonic suppression","volume":"27","author":"Wang","year":"2017","journal-title":"IEEE Microw. Wirel. Compon. Lett."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"570","DOI":"10.1109\/LMWC.2018.2835446","article-title":"Design of the filtering power divider with a wide passband and stopband","volume":"28","author":"Chen","year":"2018","journal-title":"IEEE Microw. Wirel. Compon. Lett."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"3393","DOI":"10.1109\/TMTT.2014.2365533","article-title":"An optimized isolation network for the Wilkinson divider","volume":"62","author":"Tas","year":"2014","journal-title":"IEEE Trans. Microw. Theory Tech."},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Cheng, P., Wang, Q., Li, W., Jia, Y., Liu, Z., Feng, C., Jiang, L., Xiao, H., and Wang, X. (2021). A Broadband Asymmetrical GaN MMIC Doherty Power Amplifier with Compact Size for 5G Communications. Electronics, 10.","DOI":"10.3390\/electronics10030311"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"153168","DOI":"10.1016\/j.aeue.2020.153168","article-title":"Design of high-efficiency compact Doherty power amplifier with harmonics suppression and wide operation frequency band","volume":"118","author":"Nouri","year":"2020","journal-title":"AEU Int. J. Electron. C."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"e22252","DOI":"10.1002\/mmce.22252","article-title":"High-efficiency balanced power amplifier using miniaturized harmonics suppressed coupler","volume":"30","author":"Hookari","year":"2020","journal-title":"Int. J. RF Microw. Comput. -Aided Eng."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1109\/LMWC.2008.918914","article-title":"Improvement of return loss bandwidth of balanced amplifier using metamaterial-based quadrature power splitters","volume":"18","author":"Tseng","year":"2008","journal-title":"IEEE Microw. Wireless Compon. Lett."},{"key":"ref_32","doi-asserted-by":"crossref","unstructured":"Islam, R., Maktoomi, M.H., Gu, Y., and Arigong, B. (2020, January 4\u20136). Concurrent Dual-Band Microstrip Line Hilbert Transformer for Spectrum Aggregation Real-Time Analog Signal Processing. Proceedings of the 2020 IEEE\/MTT-S International Microwave Symposium (IMS), Los Angeles, CA, USA.","DOI":"10.1109\/IMS30576.2020.9223778"},{"key":"ref_33","first-page":"1","article-title":"Spectrum Aggregation Dual-Band RealTime RF\/Microwave Analog Signal Processing from Microstrip Line High-Frequency Hilbert Transformer","volume":"1","author":"Islam","year":"2021","journal-title":"IEEE Trans. Microw. Theory Tech."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"1807","DOI":"10.1109\/TAP.2016.2629469","article-title":"Beam switching dual polarized antenna array with reconfigurable radial waveguide power dividers","volume":"65","author":"Boutayeb","year":"2016","journal-title":"IEEE Trans. Antenn Propag."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1109\/LMWC.2013.2244873","article-title":"A novel wideband bandpass power divider with harmonic-suppressed ring resonator","volume":"23","author":"Gao","year":"2013","journal-title":"IEEE Microw. Wireless Compon. Lett."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"1124","DOI":"10.1080\/09205071.2016.1178607","article-title":"Compact power divider with bandpass response and improved out-of-band rejection","volume":"30","author":"Zhang","year":"2016","journal-title":"J. Electromagn. Waves Appl."},{"key":"ref_37","first-page":"665","article-title":"On the dual frequency impedance\/admittance characteristic of multi-section commensurate transmission-line","volume":"64","author":"Maktoomi","year":"2017","journal-title":"IEEE Trans. on Circuits Syst. II Exp. Briefs"},{"key":"ref_38","doi-asserted-by":"crossref","unstructured":"Kim, S.-H., Yoon, J.-H., Kim, Y., and Yoon, Y.-C. (2010, January 23\u201328). A modified Wilkinson divider using zero-degree phase shifting composite right\/left-handed transmission line. Proceedings of the 2010 IEEE MTT-S International Microwave Symposium, Anaheim, CA, USA.","DOI":"10.1109\/MWSYM.2010.5515556"},{"key":"ref_39","doi-asserted-by":"crossref","unstructured":"Trantanella, C.J. (2010, January 23\u201328). A novel power divider with enhanced physical and electrical port isolation. Proceedings of the 2010 IEEE MTT-S International Microwave Symposium, Anaheim, CA, USA.","DOI":"10.1109\/MWSYM.2010.5515220"},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1109\/LMWC.2009.2035951","article-title":"Novel ultra-wideband (UWB) multilayer slotline power divider with bandpass response","volume":"20","author":"Song","year":"2010","journal-title":"IEEE Microw. Wireless Compon. Lett."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"e21728","DOI":"10.1002\/mmce.21728","article-title":"Design of a wideband filtering power divider with good in-band and out-of-band isolations","volume":"29","author":"Liu","year":"2019","journal-title":"Int. J. RF Microw. Comput. Aid Eng."},{"key":"ref_42","doi-asserted-by":"crossref","unstructured":"Okada, Y., Kawai, T., and Enokihara, A. (2015, January 7\u201310). Wideband lumped-element Wilkinson power dividers using LC-ladder circuits. Proceedings of the 2015 European Microwave Conference (EuMC), Paris, France.","DOI":"10.1109\/EuMC.2015.7345713"},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"586","DOI":"10.1109\/LMWC.2016.2585572","article-title":"Theory and design of a novel wideband DC isolated Wilkinson power divider","volume":"26","author":"Maktoomi","year":"2016","journal-title":"IEEE Microw. Wireless Compon. Lett."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"1806","DOI":"10.1109\/TMTT.2016.2554552","article-title":"A design of 3-dB wideband microstrip power divider with an ultra-wide isolated frequency band","volume":"64","author":"Tang","year":"2016","journal-title":"IEEE Trans. Microw. Theory Tech."},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"1068","DOI":"10.1109\/LMWC.2017.2758761","article-title":"Wideband filtering power divider with embedded transversal signal-interference sections","volume":"27","author":"Jiao","year":"2017","journal-title":"IEEE Microw. Wireless Compon. Lett."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"3377","DOI":"10.1109\/TMTT.2019.2918539","article-title":"Synthesis Theory of Ultra-Wideband Bandpass Transformer and its Wilkinson Power Divider Application with Perfect in-Band Reflection\/Isolation","volume":"67","author":"Wang","year":"2019","journal-title":"IEEE Trans. Microw. Theory Tech."},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"1431","DOI":"10.1109\/TMTT.2019.2955107","article-title":"Proposal and Design of a Power Divider with Wideband Power Division and Port-to-Port Isolation: A New Topology","volume":"68","author":"Liu","year":"2020","journal-title":"IEEE Trans. Microw. Theory Tech."},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"861","DOI":"10.1109\/LMWC.2020.3011516","article-title":"An Optimization Algorithm in Ultrawideband Bandpass Wilkinson Power Divider for Controllable Equal-Ripple Level","volume":"30","author":"Bao","year":"2020","journal-title":"IEEE Microw. Wireless Compon. Lett."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/21\/19\/6330\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T07:03:10Z","timestamp":1760166190000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/21\/19\/6330"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,9,22]]},"references-count":48,"journal-issue":{"issue":"19","published-online":{"date-parts":[[2021,10]]}},"alternative-id":["s21196330"],"URL":"https:\/\/doi.org\/10.3390\/s21196330","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,9,22]]}}}