Question

The approximate far zone normalized electric field radiated by a resonant linear dipole antenna used in wireless mobile units, positioned symmetrically at the origin along the z- axis, is given by 0°0 180° 1.5 ejkr EaâgEa sin 0° e 360° where E is a constant and r is the spherical radial distance measured from the origin of the coordinate system. Determine the: (a) Exact maximum directivity (dimensionless and in dB) (b) Half-power beamwidth (in degrees) (c) Approximate maximum directivity (dimensionless and in dB). Indicate which approxi mate formula you are using and why? (d) Approximate maximum directivity (dimensionless and in dB) using another approximate formula. Indicate which other formula you are using and why? (e) Maximum directivity (dimensionless and in dB) using the computer program Directivity

Answer 1

E sine sn3 Nomaltzed Un 0% YRU - Prad 27 sine de - 27 Cn sin 8 ded Pcad sin de 27 gcese 2.298 dB OX 37 Paad = 9%° = 52533 2(0-s2.533 14-934 HPBW e 2(Omax- 0 omnidfeecoral Because Faltein Po (Mc Donald) HPB-O.Oo27 (HPB Omax 74-934-Oe07(T4.934 = 2.278 74.93-15.16 Because paltesn Do (Foza Emnidfeeclfona) : =172.4 + 1910-818+y.34 72.4 -918t HFBO E 2.431 dB olo = -172.4 191 (O .12 1-7S0 D 63 ( 2.286Y dB Compitr Fogam Dtsy dapolees theta n dayplees Inpit poanatexs: The loues boond theta n PFer boond The ouexband = 1g0 The degpleaes deptees = 14228 pebaund :Radfated powex (uote eatuityamensionlas D'eectivity Cd B = 2.286 E360 The out pantes =tG30