Slotline-Waveguide Wavelength Calculator

Slotline-Waveguide Wavelength Calculator

Calculate the guided wavelength using:
\[ \lambda_g = \frac{\lambda_0}{\sqrt{1-\left(\frac{f_c}{f}\right)^2}} \] where \(\lambda_0 = \frac{0.3}{f}\) (m) for an operating frequency \(f\) (GHz).

* Enter the operating frequency \( f \) (GHz) and the cutoff frequency \( f_c \) (GHz). (Ensure that \( f > f_c \).)

Step 1: Enter Parameters

Example: 10 GHz

Example: 8 GHz

Derived Formula: \( \lambda_g = \frac{\lambda_0}{\sqrt{1-(f_c/f)^2}} \) with \( \lambda_0 = \frac{0.3}{f} \)


Practical Example:
For an operating frequency \( f = 10\,\text{GHz} \) and cutoff frequency \( f_c = 8\,\text{GHz} \):
\( \lambda_0 = 0.3/10 = 0.03\,\text{m} \),
\( \lambda_g \approx 0.03/\sqrt{1-(8/10)^2} \approx 0.03/\sqrt{1-0.64} \approx 0.03/0.6 = 0.05\,\text{m} \).