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課程名稱︰天線
課程性質︰選修
課程教師︰許博文
開課學院：電資學院
開課系所︰電信所
考試日期（年月日）︰2006/11/16
考試時限（分鐘）：3 hrs
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
1. Verify Eq.(1.61) in Chapter 1 of Elliott's book.(10%)
2. Prove that a RHCP(right-hand circularly-polarized) wave normally incident
on a plane perfect conductor changes to LHCP upon reflection.(15%)
3. Most fender-mount car antennas are 31 inches long. We assume that the fender
images the monopole antenna, forming a dipole 62 inches long (L =1.575m).
For an operating frequency of 1 MHz ,find the radiation resistance of the
antenna.(15%)
4. A citizen's band radio at 27 MHz uses a half-wavelength long dipole. Find
its peak directivity assuming that the current is triangular [I =
Io(1-|ξ|/ι),where 2ι is the total length].(15%)
5. A plane wave is normally incident on a slit in an infinite perfectly
conducting plane . If the slit is infinite in the x-direction and is L
i ^ -jβz
wide in the y-direction and assume that the incident field E = yEo*e
associated with the plane wave propagating in the z-direction renders the
field over the physical aperture ,so
^
Ea = yEo,for|y|≦L/2 at z=0; and 0 elsewhere.
find the radiation pattern of this slit.(15%)
6. Prove that why ▽。E=0? in Eq.(3.61) in Chater 3 of Elliott's book.(10%)
7. Solve prob. 3.7 in Chapter 3 of Elliott's book.(10%)
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