An Investigation of the Relationship between Effective Relative Permittivity and Infill Density in a 3D Printed Slab

Authors

  • Bibek Kattel Department of Electrical and Computer Engineering, University of Mississippi, Oxford, MS, USA
  • Winn Elliott Hutchcraft Department of Electrical and Computer Engineering, University of Mississippi, Oxford, MS, USA
  • Richard K. Gordon Department of Electrical and Computer Engineering, University of Mississippi, Oxford, MS, USA

DOI:

https://doi.org/10.13052/2023.ACES.J.381208

Keywords:

3D printing, antenna optimization, effective relative permittivity, infill density model, patch antenna, waveguide

Abstract

This paper presents a simulation-based study on the relative permittivity of 3D printed dielectric slabs printed with varying infill densities. In this study, a percentage volumetric model has been employed to model the infill density in a 3D printed dielectric slab. The relative permittivity of the filament material used to design the slab is assumed to be 2.45. The modeled slab is fitted into various rectangular waveguides with varying dimensions corresponding to different frequency ranges. As the infill density decreases, the relative permittivity of the dielectric slabs decreases. This lower value of relative permittivity is referred to as effective relative permittivity (εr.eff) throughout the paper. The study concludes that the effective relative permittivity of the slab decreases linearly as the infill density is decreased for the model. This study offers valuable insights into the effective relative permittivity of dielectric slabs under varying infill densities, providing implications for applications in areas such as antenna design.

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Author Biographies

Bibek Kattel, Department of Electrical and Computer Engineering, University of Mississippi, Oxford, MS, USA

Bibek Kattel is a doctoral candidate in the Department of Electrical and Computer Engineering at the University of Mississippi, Oxford, MS. He earned his M.Sc. in Electrical Engineering with an emphasis in Electromagnetics from the same university in 2019.

His current research focuses on the design and fabrication of 3D printed antennas, RF and antenna measurements, and exploring novel materials for 3D printing applications. In addition to research, he has a passion for teaching and has taught an electronics course at the University of Mississippi in Fall 2023. He is a member of Phi Kappa Phi.

Winn Elliott Hutchcraft, Department of Electrical and Computer Engineering, University of Mississippi, Oxford, MS, USA

W. Elliott Hutchcraft was born in Lexington, Kentucky on April 29, 1973. He earned his B.S. in electrical engineering at the University of Mississippi, Oxford, MS in 1996, his M.S. in electrical engineering at the University of Mississippi, Oxford, MS in 1998, and his Ph.D. in electrical engineering at the University of Mississippi, Oxford, MS in 2003.

He is an Associate Professor in the Department of Electrical and Computer Engineering at the University of Mississippi in Oxford, Mississippi. Dr. Hutchcraft is a member of Eta Kappa Nu, IEEE, Tau Beta Pi, and Phi Kappa Phi.

Richard K. Gordon, Department of Electrical and Computer Engineering, University of Mississippi, Oxford, MS, USA

Richard K. Gordon is from Birmingham, Alabama. He earned his B.S. in physics at Birmingham-Southern College, Birmingham, AL in 1983, his M.S. in applied mathematics at the University of Illinois, Urbana, IL in 1986, and his Ph.D. in electrical engineering at the University of Illinois, Urbana, IL in 1990.

He is an Associate Professor in the Department of Electrical and Computer Engineering at the University of Mississippi in Oxford, Mississippi. Dr. Gordon is a member of Eta Kappa Nu, Phi Beta Kappa, and TauBeta Pi.

References

B. Kattel, W. E. Hutchcraft, and R. K. Gordon, “Exploring infill patterns on varying infill densities on dielectric properties of 3D printed slabs,” 2023 Antenna Measurement Techniques Association Symposium (AMTA), pp. 1-5, 2023.

B. T. Malik, V. Doychinov, S. A. R. Zaidi, I. D. Robertson, and N. Somjit, “Antenna gain enhancement by using low-infill 3D-printed dielectric lens antennas,” IEEE Access, vol. 7, pp. 102467-102476, 2019.

B. Kattel, W. E. Hutchcraft, and R. K. Gordon, “3D printed patch antennas with varying infill densities,” 2023 Antenna Measurement Techniques Association Symposium (AMTA), pp. 1-5, 2023.

B. Kattel, “Evaluation of wireless router antennas and 3D-printed simulated antenna designs,” Electronic Theses and Dissertations, vol. 1769, 2019.

H. Hu, S. Sinha, N. Meisel, and S. G. Bilén, “Permittivity of 3D-printed nylon substrates with different infill patterns and densities for design of microwave components,” Designs, vol. 4, no. 3, 2020.

B. F. LaRocca and M. S. Mirotznik, “Modeling the performance impact of cubic macro cells used in additively manufactured luneburg lenses,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 37, no. 10, pp. 1077-1088, 2023.

J. D. Garrett, “garrettj403/SciencePlots,” Zenodo, Sep. 2021.

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Published

2023-12-30

How to Cite

[1]
B. Kattel, W. E. Hutchcraft, and R. K. Gordon, “An Investigation of the Relationship between Effective Relative Permittivity and Infill Density in a 3D Printed Slab”, ACES Journal, vol. 38, no. 12, pp. 981–986, Dec. 2023.