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By Janis Galejs, A. L. Cullen, V. A. Fock and J. R. Wait (Auth.)

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10) be satisfied for r = a. 12) y = k2a. 3). 15) The radiated power is to be calculated from 2 l / e 2X 2 " i/c rf J J lEwl^sinflcWcty. 17) 48 ANTENNAS IN INHOMOGENEOUS MEDIA Ch. 4 where / 0 designates the peak current. 18) where A is its effective area. 20) is increased slightly for 1 < e < 4, but decreases for larger values of e. If the spherical boundary between the two regions atr=a lies in the far fields of the dipole, kxa and k2a > 1. 11), which are proportional to y or z, are significant, and C is computed as C = A ey (ei /2 ^ (ei) cos z + /(e2)1/2 sin z.

D. (\950) Antennas, McGraw-Hill, New York, NY. LEVINE, H. and PAPAS, C. H. (1951) Theory of circular diffraction antenna, J. Appl Phys. 22,29-43. LEWIN, L. (1951) Advanced Theory of Waveguides, Iliffe&Sons, London. MARCUVITZ, N. (1951) Waveguide Handbook, McGraw-Hill, New York, NY. SOMMERFIELD, A. , New York, NY. CHAPTER 4 DIELECTRIC LOADING OF SMALL ANTENNAS IN THIS chapter the characteristics of small electric dipole antennas and loops will be determined in the presence of spherically shaped dielectric regions.

An ideal open circuit (or zero admittance) is reflected into the slot plane from the lower half space. A complementary dipole antenna is made of a thin conducting metal strip of identical size to the slot, and is excited by a current / at its center. A simple relation will be derived between the admittance Y = I/V of the slot antenna and the impedance Z = V/I of the complementary dipole. This relation was obtained first by Booker [1946]. 4. 30). 3. 4) shows that &m = 2^&e. 5) 34 A N T E N N A S IN IN HOMOGEN EOUS M E D I A Ch.

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