Step 1: Understand the relationship of parameters.
The wave vector \( k \), angular frequency \( \omega \), and the amplitude \( E_0 \) are related to the wavelength and frequency, but \( E_0 \) is independent of the wavelength.
Step 2: Explanation.
The electric field amplitude \( E_0 \) does not depend on the wavelength or frequency of the wave.
Final Answer:
\[
\boxed{E_0}
\]