# Maximum Radiation Direction - ⎠ ⎞ ⎜ ⎝ ⎛ ⎟ ⎠...

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Maximum Radiation Direction______________________________________________________________________________Hon Tat Hui Maximum radiation direction of (AF) n () () 0 2 sin 2 sin 2 cos 2 1 2 cos 2 sin 2 0 / 2 / sin 2 / sin 1 ) ( 2 = = = Ψ N N N d N N d d AF d n 2 sin 2 cos 2 1 2 cos 2 sin 2 N N N = 2 tan 2 tan ., . N N e i = The last equation can only be satisfied when π m 2 ± = , for m = 0,1,2,…. Checking for possible indeterminate forms 0 2 sin 2 1 2 cos 2 1 2 cos 2 sin 2 2 sin 2 cos 2 1 2 2 1 2m lim 2 cos 2 1 2 sin 2 2 sin 2 sin 2 2 1 2m lim 2 sin 2 sin 2 cos 2 1 2 cos 2 sin 2 2m lim 2 2 2 2 2 2 2 2 2 = + ± =
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Unformatted text preview: ⎠ ⎞ ⎜ ⎝ ⎛ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − ± → = ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ± → N N N N N N N N N Hence ) ( = d AF d n is completely determined at m 2 ± = , for m = 0,1,2,…....
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