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In gross terms dielectric loading of antennas is undesirable; the current is decreased by 1/ r (Wheeler, 1947; Schelkunoff and Friis, 1952) Dipoles or monopoles with dielectric sleeves have been investigated for over 40 years Polk (1959) analyzed a biconical dipole embedded in a dielectric sphere, using the Schelkunoff transmission line approach For a short biconical the reactance was reduced by the dielectric, but the bandwidth was also reduced Grimes (1958) showed that a dielectric sleeve around a dipole would affect the impedance due to , but not from Galejs (1962, 1963) used a spherical mode approach for a short dipole in a dielectric sphere Using the lowest mode, he showed that the ef ciency bandwidth varies as 9 /( + 2)2 For = 1 this factor is one, of course, and for large it approaches 9/ The maximum occurs for = 2, and is 1125.



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This contradicts the results of Wheeler (1958), who assumed a dielectric surface tangential to E The results of Galejs were recapitulated by Chatterjee (1985) Measurements were made of short probes with dielectric sleeves by Birch eld and Free (1974): The sleeves improved the impedance match, but data are sparse A Moment Method analysis of dielectric coated dipoles was made by Richmond and Newman (1976) Resonant conductance increased roughly linearly with ( 1)/ n b/a, where a is the dipole radius and b is the sleeve radius Bandwidth is reduced, but no data are given See also Popovic and Djorkjevic (1981) Smith (1977) in a brief note indicates that the ef ciency bandwidth product is reduced by the addition of the dielectric, based on the work of Galejs A cylindrical dielectric or ferrite sleeve on a dipole was treated as a resonator by James et al.

50 10 40 Density 30 20 10 0 0.05 0.06 0.07 0 0.08 0.09 8 Density 6 4 2 0 0.25 0.30 0.35 1 0.40 0.45

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(1974) and James and Henderson (1978) See also Fujimoto et al (1987) The external eld has a continuous eigenvalue spectrum, and the cavity has discrete modes Their perturbation approach ensures that the cavity elds are only slightly changed by loss and by radiation A variational method is then used to nd the elds Results show decrease in ef ciency (due to material losses) and decrease in bandwidth The degradation appears less when = for the dielectric Reduced dipole length, for resonance, may not compensate adequately for the lower ef ciency and smaller bandwidth Returning now to subresonant cladding, King and Smith (1981) formulated an integral equation for the currents; only a few results are given Sinha and Saoudy (1990) did a Weiner Hopf analysis of a dielectric coated dipole; the asymptotic approximation of current shows unexplained small changes in impedance with An FDTD approach was used by Bretones et al.

Comparison of RSOM with SOM Quantization Error 0.038 0.022 32.588 0.081 28.855 0.246 Iteration at Which Error Converged 5000 50 8830 95 8666 102

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