푅 = 푟 − 푎⃗ ∙ 푟⃗ Factor de arreglo

퐴퐹 = 퐶 ∗ 푒 ( ∗ ⃗∙ ⃗)

훼 = 푓푎푠푒푑푒푐표푟푟푖푒푛푡푒 퐶 = 푎푚푝푙푖푡푢푑푑푒푙푎푐표푟푟푖푒푛푡푒

훽푛푑푐표푠(휓)

Dibujo

sin(휃) =푒 − 푒

2푗

cos(휃) =푒 + 푒

2

퐴퐹 = 퐼 (푁 + 1) 퐼 = 푎푚푝푙푖푡푢푑푑푒푙푎푐표푟푟푖푒푛푡푒

푁 = 푒푠푒푙#푑푒표푟푑푒푛 Arreglo de Fourier

"푁 + 1 = #푑푒푎푛푡푒푛푎푠

퐴퐹 = 퐶 ∗ 푒 ( ∗ ⃗∙ ⃗)

푎⃗ ∙ 푟⃗ = 푛푑푐표푠(휃)

휃 = 푎푛푔푢푙표푒푛푡푟푒푎푦푟 Dibujo Identidad de moire

2푁 + 1 = #푑푒푎푛푡푒푛푎푠;푔푟푎푑표푑푒푙푝표푙푖푛표푚푖표 . . .

Arreglo lineales

퐴퐹 =퐴퐹

퐴퐹 푛표푟푚푎푙푖푧푎푑표

훽휆 = 2휋 퐴퐹= cos

휋4 ∗ cos(휃) 푓푎푐푡표푟푑푒푎푟푟푖푔푙표푛표푟푚푎푙푖푧푎푑표

R en Db

푅푑퐵 = 20 log푙푝푙푠

푅 =푙푝푙푠

푅 =푙푝푙푠 = 10

#푑푒푎푟푟푒푔푙표푠 = 2푁 + 1 푋 = cosh(훾 )

훾 =1푁 ∗ cosh (푅)

푑 =휆2 ; 훽 =

2휋휆 ; 푐 = 휆푓

Caso conociendo X1

푋 = 푎 + 푏 − 1 = 푎 + 푏푐표푠(휓)

푎 = −1 + 푋 cos(훽푑)

1 − cos(훽푑)

푏 =1 + 푋

1 − cos(훽푑)

Caso conociendo X2 푎 = − cos(푈 ) + 푋 cos(훽푑)

푏 =1 + 푋

cos(푈 )− cos(훽푑)

푈 = 훽푑푐표푠(휃 ) 푋 = 푎 + 푏푐표푠(푢)

Arreglos 푇 (푋) = 푋

푇 (푋) = 2푥 − 1 푇 (푋) = 4푥 − 3푥

푇 (푋) = 8푥 − 8푥 + 1 푇 (푋) = 2푥 ∗ 푇 − 푇

퐴퐹 = 퐶 + 2 퐶 cos(푛푢)

Euler

푈푧 = 훽푑푐표푠(휃 ) 푋 = 푎 + 푏푐표푠(푈 ) 푈 = 훽푑푐표푠(휃 ) 푋 = cos

휋2푁

휃 = cos푈훽푑

Ancho del haz principal

푈 = 훽푑푐표푠(휃) 휋2 − 휃 ∗ 2