Question

3. (35 pts) Una onda plana de 75 MHz con amplitud de campo electrico de 2 V/m propagando en el aire incide normal en un plancha de silicio (ur 1.0, &r 11.68, σ 1.0x103 S/m). (10 pts) Determine el coeficiente de reflección, Γ. a. b. (10 pts) Determine el coeficiente de transmisión, τ. (15 pts) Determine el valor de la amplitud de la onda a 1 mm dentro del silicio. c.

Answer 1

Frequency = 75 m hz = 75 10^6 hz E_10 = 2 v/m medium1 n_1 = squarerootmu_0/epsilon_0 = 120 pi = 377 omega medium2 mod n_2 = squarerootmu/epsilon/[1 + (sigma/omega epsilon)^2]^1/4 377/squareroot 11.63/[1 + (2.39 10^5)^2]^1/4 mod n_2 = 0.22s \r\ coefficient de reflection gamma = modn_2 - modn_1/modn_2 + modn_1 = 0.22s - 377/377.22s gamma = -0.9988 tau = 1 + gamma 1 - 1.2 10^-3 \r\ tay = e_02/e_01 = 1.2 10^3 e_02 = 2 1.2 10^-3 e_02 = 2.4 10^-3 v/m \r\ alpha = omega squarerootmu epsilon/2[squareoot1 + (sigma/omega epsilon)^2 - 1 alpha = 75 10^6 2pi squareroot 11.68/2(3 10^8)^2 [238999] alpha = 75 10^6 2pi 1181/3 10^8 alpha = 1854.8 n_P/m \r\ mod e_2 after 2mm = mode_02 e^-alpha d = 2.4 10^-3 e^-1854(2/1000) = 0.058 10^-3 v/m