2009
DOI: 10.1109/tap.2009.2016683
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Illustrations of New Physical Bounds on Linearly Polarized Antennas

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Cited by 159 publications
(179 citation statements)
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“…A secondary purpose of the paper is to correct the error, found by Jonsson and Gustafsson [15], that was made in the derivation of one of the main lower-bound formulas in [13] and resulted in that formula applying exactly to only ellipsoidal volumes. (All the comparisons that were made in [13] with the sum-rule lower bounds of Gustafsson, Sohl, and Kristensson [12,16] showed excellent agreement because the comparisons were made for different shaped ellipsoids.) † The Q lower-bound formulas derived in this paper, like those in [13,14], are limited to electrically small antennas with ka 5, where a is the minimum circumscribing radius of the antenna volume V a and k is the free-space wavenumber.…”
Section: Introductionmentioning
confidence: 85%
“…A secondary purpose of the paper is to correct the error, found by Jonsson and Gustafsson [15], that was made in the derivation of one of the main lower-bound formulas in [13] and resulted in that formula applying exactly to only ellipsoidal volumes. (All the comparisons that were made in [13] with the sum-rule lower bounds of Gustafsson, Sohl, and Kristensson [12,16] showed excellent agreement because the comparisons were made for different shaped ellipsoids.) † The Q lower-bound formulas derived in this paper, like those in [13,14], are limited to electrically small antennas with ka 5, where a is the minimum circumscribing radius of the antenna volume V a and k is the free-space wavenumber.…”
Section: Introductionmentioning
confidence: 85%
“…The results in [6,9] are used to derive the physical bounds for antennas whose shapes are limited to rectangular regions 2 . The maximum D/Q ratio is computed with closed form expressions assuming main radiation direction orthogonal to the rectangle.…”
Section: Physical Boundsmentioning
confidence: 99%
“…The performance of the structures considered here has been compared with the physical bounds for rectangular structures [6,9,10], and structures with a rectangular ground plane [8]. This comparison shows that the optimized structures perform close to their physical bounds.…”
Section: Introductionmentioning
confidence: 99%
“…Hence, under the assumptions of linearity, continuity, time-translational invariance and passivity, sum rules can be derived from the analytic properties of the forward scattering dyadic, see e.g., [25,26], and have also applications in antenna theory, see e.g., [11,12,24,29,30]. In [23], similar relations are used to determine the ultimate thickness to bandwidth ratio of radar absorbers.…”
Section: Introductionmentioning
confidence: 99%