Analyzing the circuit.
From the given circuit, we see that Diodes \( D_1 \) and \( D_3 \) are conducting, while \( D_2 \) is reverse biased. Hence, current \( I_1 \) will be split between \( I_3 \) and \( I_4 \), and \( I_2 = 0 \).
Using Kirchhoff's Current Law (KCL), we have:
\[
I_1 = I_2 + I_4 + I_3 = 2I_2
\]
Thus, the ratio \( \frac{I_1}{I_2} \) is:
\[
\frac{I_1}{I_2} = 2
\]