Bandlimiting in conflict with spatial bounding of radiative sources
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OpenAlex topics: Mathematical Analysis and Transform Methods · Medical Imaging Techniques and Applications · Algebraic and Geometric Analysis
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References (12)
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3. H. P.Baltes, H. G.Schmidt-Weinmar:Bandlimiting at Variance with the Strong Radiation Condition, Phys. Lett.60A, 275–277 (1977)10.1016/0375-9601(77)90096-2 ↗
4. C. H.Wilcox: Comm. Pure and Appl. Math.9, 115–134 (1956)10.1002/cpa.3160090202 ↗
5. L. M.Magid:Electromagnetic Fields, Energy and Waves (Wiley, New York 1972) pp. 672–679
6. ——:Electromagnetic Fields, Energy and Waves (Wiley, New York 1972) See Ref. [5], pp. 710–712
7. L. M.Brekhovskikh:Waves in Layered Media (Academic Press, New York 1960) pp. 238–242
8. A.Banos:Dipole Radiation in the Presence of a Conducting Half-Space (Pergamon Press, New York 1966) pp. 19–28
9. —:Electromagnetic Fields, Energy, and Waves (Wiley, New York 1972) See Ref. [5], pp. 625–628
10. See Ref. [2], in particular Appendices 3 and 4
11. The error bounds for the data of Figs. 2 and 5–7 are 5% and 10% for the data of Fig. 1. The remainders of the series used for computation asz→∞ with fixedR andt have been found as in Ref. [2], Eq. (A1.5). For the remainders of the series used for computation asR→∞ with fixedz andt, see F. W. J.Olver: SIAM J. Math. Anal.5, 19–29 (1974)10.1137/0505003 ↗
12. H. G.Schmidt-Weinmar: J. Opt. Soc. Am.56, 1059–1066 (1975)10.1364/JOSA.65.001059 ↗