An enhanced vector diagram of Maxwell’s equations for chiral media

Authors

  • Carlos Villarroel Gonzáles University of Tarapacá
  • Diego Torres Cabezas Ministry General Secretariat of the Presidency
  • Héctor Torres Silva University of Tarapaca

DOI:

https://doi.org/10.17533/udea.redin.12474

Keywords:

Maxwell’s equation, vector diagram, wireless communications devices, chiral media

Abstract

A vector diagram of Maxwell’s time-harmonic equations in homogeneous isotropic media is derived and proposed so as to include chiral media. The diagram may be used to obtain a number of common relationships between fields, potentials and source by equating appropriate components of the vectors in it. The construction of the diagram is based on the formal similarity between many theorems of vector calculus and those of vector algebra. Construction of the diagrams for two different gauge choices, Lorentz and Coulomb’s gauges, is explained in detail and some of equations which can possibly be derived from one of the diagram are presented. In this work this approach is applied to a numerical calculation of a two-dimensional chiral slab. This work could be a tool for designing Wireless Communications Systems devices, in a spectral range from 1 GHz to about 60 GHz, for example, duplexers based on power splitters and a rear frequency selective filtering though the use of SRR/CSRR (splits ring resonator)/ (coplanar SRR) cells. The circuit devices using SRR/CSRR have a very small size, due to its operations in a sub-lambda system. Also this work may be useful to discuss the design, among others, of a circularly polarized printed patch for S- Band and different types of filters and others devices using metamaterials and Coplanar Wave Guides.

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Author Biographies

Carlos Villarroel Gonzáles, University of Tarapacá

University School of Electrical-Electronic Engineering.

Diego Torres Cabezas, Ministry General Secretariat of the Presidency

Modernization and Electronic Government.

Héctor Torres Silva, University of Tarapaca

University School of Electrical-Electronic Engineering.

References

R. Shimano, H. Nishimura, T. Sato. “Frequency Tunable Circular Polarization Control of Terahertz Radiation.” Jpn. J. Appl.Phys. Vol. 44. 2005. pp. L676-L678. DOI: https://doi.org/10.1143/JJAP.44.L676

E. Castro, J. Lloyd, M. Johnston, M. Fraser, H. Tan, C. Jagadish. “Polarization-sensitive terahertz detection by multicontact photoconductive receivers”. Appl. Phys. Lett. Vol. 86. 2005. pp. 254102-254102-3. DOI: https://doi.org/10.1063/1.1951051

W. Irvine, D. Bouwmeester. “Linked and knotted beams of light”. Nature Physics. Vol. 4. 2008. pp. 716- 720. DOI: https://doi.org/10.1038/nphys1056

D. Wilton. “A Vector Diagram of Maxwell’s Equations”. IEEE Antennas and Propagation Magazine. Vol. 37. 1995. pp. 7-11. DOI: https://doi.org/10.1109/74.475859

S. Uckun. “A Vector Diagram of Maxwell’s Equations for chiral media”. Electrotechnical Conference. Melecon 98. 1998. pp. 283-286.

H. Torres, M. Zamorano. “Chiral Effect on Optical Soliton”. The journal mathematics and Computers in Simulation. Vol. 62. 2003. pp. 149-161. DOI: https://doi.org/10.1016/S0378-4754(02)00177-5

H. Torres, C. Villarroel, F. Jiménez. “Electromagnetic waves at the plane boundary between two chiral media”. Ingeniare. Revista chilena de ingeniería. Vol. 15. 2007. pp. 101-110.

A. Alu, N Engheta. “Pairing an epsilon- negative slab with a mu negative: Resonance, Anomalous Tunelling and Transparency” IEEE Transaction. Vol. 51. 2003. pp. 2558-2571. DOI: https://doi.org/10.1109/TAP.2003.817553

I. Bialynicki-Birula, Z. Bialynicka-Birula. “Vortex lines of the electromagnetic field”. Phys. Rev. A. Vol. 67. 2003. pp. 062114-062114-8. DOI: https://doi.org/10.1103/PhysRevA.67.062114

M. Berry, M. Dennis. “Knotted and linked phase singularities in monochromatic waves.” Proc. R. Soc. Lond. A. Vol. 457. 2001. pp. 2251-2263. DOI: https://doi.org/10.1098/rspa.2001.0826

J. Leach, M. Dennis, J. Courtial, M. Padgett. “Knotted threads of darkness”. Nature Vol. 432. 2004. pp. 165- 166. DOI: https://doi.org/10.1038/432165a

Published

2012-07-31

How to Cite

Villarroel Gonzáles, C. ., Torres Cabezas, D., & Torres Silva, H. (2012). An enhanced vector diagram of Maxwell’s equations for chiral media. Revista Facultad De Ingeniería Universidad De Antioquia, (62), 137–144. https://doi.org/10.17533/udea.redin.12474