Analytical Expressions for the Mutual Coupling of Loop Antennas Valid from the RF to Optical Regimes
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IEEE
Materia
Antenna theory Loop antennas Mutual coupling Nanotechnology Submillimeter wave technology
Fecha
2017Referencia bibliográfica
Nagar, J. ; et. al. Analytical Expressions for the Mutual Coupling of Loop Antennas Valid from the RF to Optical Regimes. IEEE Transactions on Antennas and Propagation, vol. 65, no. 12, pp. 6889-6903, Dec. 2017 []
Patrocinador
This work was supported in part by the Spanish Ministry of Education- Commission Fulbright Program “Salvador de Madariaga” for sponsoring the join t research collaboration under Grant PRX14/00320, in part by the Spanish and A ndalusian research programs Grant TEC2013-48414-C3-01 and Grant P12-TIC-1442, in part by the Center for Nanoscale Science, and in part by an NSF Materials Research Science and Engineering Center under Grant DMR-1420620Resumen
Arrays of circular loop antennas are commonly
employed at radio frequencies for communications and geo-
physical sensing, while also holding enormous potential in the
optical regime for applications such as solar energy harvesting.
Exact analytical expressions exist for predicting the mutual
coupling between a variety of antennas, including dipoles and
slots. However, due to the complexity of the integrals involved,
analytical expressions for evaluating the coupling between loop
antennas have not been previously available. This paper presents
straightforward analytical expressions for efficient calculation of
the coupling between two circular loops at arbitrary locations.
The theory is extended to the optical regime by taking into
account the dispersion and loss of the material comprising
the loop antenna. These analytical expressions provide insight
into the physics underlying the mutual coupling phenomenon.
Along with the approximate analytical expressions, a useful
pseudo-analytical representation is developed which is more
exact, especially in the near-field regime, and can be easily and
efficiently evaluated in MATLAB via numerical integration. It is
shown that full-wave simulations for a two-element array of
nanoloops can take up to six hours, while the corresponding
analytical and pseudo-analytical implementations derived here
take less than a minute.