Skip to main content
SpringerLink
Log in

Mathematical analysis for resonant frequencies of a novel 3-element log periodic patch array

  • Original Article
  • Published:
International Journal of System Assurance Engineering and Management Aims and scope Submit manuscript

Abstract

This composition elucidates a mathematical investigation of a novel printed log periodic array where the number of elements is 3 and each element has a matchless shape which is designed by doing some perturbation with the conventional circular patch. The proposed array of 3 elements are designed on a substrate having dimension 80 × 80 × 1.6 mm with widely available dielectric FR4 Epoxy and the ground plane is having same length and width as that of the substrate and it has a thickness of 0.01 mm. The S11 (S11 < −10 dB) vs Frequency plot has been considered as the prominent plot as to get the resonant frequencies. The simulation as well as the measurement results provide a clear observation that the projected antenna has a broadband characteristic between 12 and 18 GHz which includes 5G frequency and different applications associated with Ku Band. Then the theoretical approach for finding resonant frequency is matched with the measured and simulated values and the end results deliver a perfect agreement between the theoretical and practical approach. The perturbed shape resembles the shape of biconvex structure so the overall design can be treated as the LPA with biconvex patches.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

References

  • Abdo-Sanchez E, Esteban J, Martin-Guerrero TM, Camacho-Penalosa C, Hall PS (2014) A novel planar log-periodic array based on the wideband complementary strip-slot element. IEEE Trans Antennas Propag 62(11):5572–5580

    Article  MathSciNet  MATH  Google Scholar 

  • Amini A, Oraizi H (2015) Miniaturized UWB log-periodic square fractal antenna. IEEE Antennas Wirel Propag Lett 14:1322–1325

    Article  Google Scholar 

  • Anagnostou DE, Papapolymerou J, Tentzeris MM, Christodoulou CG (2008) A printed log-periodic koch-dipole array (LPKDA). IEEE Antennas Wirel Propag Lett 7:456–460

    Article  Google Scholar 

  • Anagnostou DE, Papapolymerou J, Tentzeris MM, Christodoulou CG (2008) A printed log-periodic Koch-dipole array (LPKDA). IEEE Antennas and Wirel Propag Lett 7:456–460

    Article  Google Scholar 

  • Awida MH, Fathy AE (2009) Substrate-integrated waveguide Ku-band cavity-backed 2 2 microstrip patch array antenna. IEEE Antennas Wirel Propag Lett 8:1054–1056

    Article  Google Scholar 

  • Balanis CA (2005) Antenna Theory Analysis and Design, 3rd edn. Wiley, Hoboken, NJ, USA

    Google Scholar 

  • Bilgic MM, Yegin K (2014) Wideband offset slot-coupled patch antenna array for X/Ku-band multimode radars. IEEE Antennas Wirel Propag Lett 13:157–160

    Article  Google Scholar 

  • Borji A, Busuioc D, Safavi-Naeini S (2009) Efficient, low-cost integrated waveguide-fed planar antenna array for Ku-band applications. IEEE Antennas Wirel Propag Lett 8:336–339

    Article  Google Scholar 

  • Calmon A, Pacheco G, Terada MAB (2006) A novel reconfigurable UWB log-periodic antenna. In: Proc. IEEE Antennas Propag Soc Int Symp Dig, pp. 213–216

  • Campbell CK, Traboulay I, Suthers MS, Kneve H (1977) Design of a stripline log periodic dipole antenna. IEEE Trans Antennas Propag 25(5):718–721

    Article  Google Scholar 

  • Excell PS, Tinniswood AD, Clarke RW (1999) An independently fed log-periodic antenna for directed pulsed radiation. IEEE Trans Electromagn. Compatibility 41(4):344–349

    Article  Google Scholar 

  • Fathi P, Aliasgari J (2018) Design and fabrication of compact 2 × 2 dual linear polarized wideband and high gain arrays for Ku-band satellite communication application. Int J Electron Commun (AEU) 95:36–41

    Article  Google Scholar 

  • Gheethan AA, Anagnostou DE (2008) The design and optimization of planar LPDAs. In: Proc. Prog. Electromagn. Res. Symp. (PIERS), Cambridge, USA, Jul, pp. 478–481

  • Green PB, Mayes PE (1974) 50 Ω log-periodic monopole array with modulated-impedance microstrip feeder. IEEE Trans. Antennas Propag. 22(2):332–334

    Article  Google Scholar 

  • Hamzavi-Zarghani Z, Atlasbaf Z (2015) A new broadband single-layer dual-band reflectarray antenna in X-and Ku-bands. IEEE Antennas Wirel Propag Lett 14

  • Keen KM (1974) A planar log-periodic antenna. IEEE Trans Antennas Propag 22(3):489–490

    Article  Google Scholar 

  • Khandelwal MK, Kanaujia BK, Dwari S, Kumar S, Gautam AK (2014) Analysis and design of wide band Microstrip-line-fed antenna with defected ground structure for Ku band applications. AEU Int J Electron Commun 68:951–957. https://doi.org/10.1016/j.aeue.2014.04.017 (ISSN 1434-8411)

    Article  Google Scholar 

  • Lee CS, Lee SW, Chuang SL (1996) Plot of modal field distribution in rectangular and circular waveguides. IEEE Trans Microw Theory Tech

  • Malik P, Parthasarthy H (2011) Synthesis of randomness in the radiated fields of antenna array. Int J Microw Wirel Technol 3(6):701–705. https://doi.org/10.1017/S1759078711000791

    Article  Google Scholar 

  • Merli F, Zürcher J-F, Freni A, Skrivervik AK (2009) Analysis, design and realization of a novel directive ultrawideband antenna. IEEE Trans Antennas Propag 57(11):3458–3466

    Article  Google Scholar 

  • Ozkaya U, Seyfi L (2015) Composite circular split ring resonator (CSRR)-based left-handed metamaterial for C- and Ku-band application. Procedia Soc Behav Sci 195:2520–2526

    Article  Google Scholar 

  • Padilla P, Muñoz-Acevedo A, Fernández JM, Sierra-Castañer M (2011) Ku band transmitarray lens for microwave applications. Int J Electron Commun (AEU) 65:68–74

    Article  Google Scholar 

  • Panda RA, Mishra D and Panda H (2016) Biconvex patch antenna with circular slot for10 GHz application, Scopes 2016, IEEE, pp. 1927–1930

  • Panda RA, Panda M, Nayak PK and Mishra D (2020) Log periodic implementation of butterfly shaped patch antenna with gain enhancement technique for x-band application” ICICCT-2019, System reliability ,quality control ,safety, maintenance and management, pp 20–28, Springer Nature Singapore

  • Pantoja RR, Sapienza AR, Medeirosfilho FC (1987) A microwave printed planar log-periodic dipole array antenna. IEEE Trans Antennas Propag 35(10):1176–1178

    Article  Google Scholar 

  • Shailendra Singh Pawar, Madhu Shandilya, Vijayshri Chaurasia (2017) Parametric evaluation of microstrip log periodic dipole array antenna using transmission line equivalent circuit, Engineering Science and Technology, an

  • Ramachandran T, Faruque MRI, Ahamed E (2019) Composite circular split ring resonator (CSRR)-based left-handed metamaterial for C- and Ku-band application. Res Phys 14:102435

    Google Scholar 

  • Samsuzzaman M, Islam MT, Misran N, Mohd Ali MA (2013) Dual band X shape microstrip patch antenna for satellite applications. Procedia Technol 11:1223–1228

    Article  Google Scholar 

  • Shaik N, Malik PK (2021) A comprehensive survey 5G wireless communication systems: open issues, research challenges, channel estimation, multi carrier modulation and 5G applications. Multimed Tools Appl. https://doi.org/10.1007/s11042-021-11128-z

    Article  Google Scholar 

  • Shandilya M, Pawar SS, Chaurasia V (2018) Design and optimization of a non-cross feed printed log periodic dipole array antenna using particle swarm optimization. Int J Electron Commun (AEÜ) 93:172–181

    Article  Google Scholar 

  • Song Q, Shen Z, Lu J (2018) Log-periodic monopole array with uniform spacing and uniform height. IEEE Trans Antennas Propag 66(9):4687–4694

    Article  Google Scholar 

  • Soumia D, Mehadji A, Badaoui HA (2015) A new C and Ku-band logarithmically periodic linear bowtie antennas array design using lumped-element equivalent schematic model. Int J. Electron. Commun. (AEÜ) 69:1766–1772

    Article  Google Scholar 

  • Wei X, Liu J, Long Y (2017) Printed log-periodic monopole array antenna with a simple feeding structure. IEEE Antennas Wirel Propag Lett 17(1):58–61

    Article  MathSciNet  Google Scholar 

  • Wu Q, Jin R, Geng J (2009) A single-layer ultrawideband microstrip antenna. IEEE Trans Antennas Propag 58(1):211–214

    Google Scholar 

  • Yang Z, Browning KC, Warnick KF (2016) High-efficiency stacked shorted annular patch antenna feed for Ku-band satellite communications. IEEE Trans Antennas Propag 64(6):2568–2572

    Article  MathSciNet  MATH  Google Scholar 

  • Zhang Y, Jiao Y, Liu S (2018) 3-D-printed comb mushroom-like dielectric lens for stable gain enhancement of printed log-periodic dipole array. IEEE Antennas Wirel Propag Lett 17(11):2099–2103. https://doi.org/10.1109/LAWP.2018.2851298

    Article  Google Scholar 

Download references

Funding

No funding is associated with this work.

Author information

Authors and Affiliations

  1. Department of Electronics and Communication Engineering, GIET University, Gunupur, India

    Ribhu Abhusan Panda

  2. Department of Electronics and Telecommunication Engineering, Veer Surendra Sai University of Technology, Burla, India

    Ribhu Abhusan Panda & Debasis Mishra

Authors
  1. Ribhu Abhusan Panda
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Debasis Mishra
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ribhu Abhusan Panda.

Ethics declarations

Conflict of interest

No conflict of Interest is associated with this article.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Panda, R.A., Mishra, D. Mathematical analysis for resonant frequencies of a novel 3-element log periodic patch array. Int J Syst Assur Eng Manag 14 (Suppl 2), 666–673 (2023). https://doi.org/10.1007/s13198-022-01716-z

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13198-022-01716-z

Keywords

Search

Navigation