LSE- and LSM-mode sheet impedances of thin conductors |
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Authors: | Amari S Bornemann J |
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Affiliation: | Center for Adv. Mater. & Related Technol., Victoria Univ., BC; |
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Abstract: | The sheet resistance of very thin conductors is commonly taken as R=1/σt. We show that the sheet impedance, defined as the ratio of the tangential electric field at the surface of the conductor to the conduction current per unit length in the conductor, depends on the field distribution. The LSE (TE-to-y) and LSM (TM-to-y) modes used in the spectral domain immittance approach have sheet impedances which are distinct for vanishingly small or large values of the wavenumber γ in the medium surrounding a thin conductor. In the limit γ→0 and t/δ≪1, ZshLSE approaches R=1/σt while ZshLSM→2/σt. In the limit γ→∞ and t/δ≪1, ZshLSE approaches R=2/σt and ZshLSM approaches R=1/σt. When t/δ≫1, the sheet impedance approaches the surface impedance Zs=(1+j)/σδ and is independent of the field distribution |
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