This calculator allows you to determine the optimal dimensions of a mitred 90° elbow on a microstrip line, in order to minimize reflection and maintain the original characteristic impedance. It helps optimize transitions in high-frequency circuit boards.
Ideal for RF engineers, PCB designers and students working on transmission lines where signal performance and loss reduction are essential.
Formulas
D = W × √2
X = W × √2 × (0.52 + 0.65 × e −1.35 × (W/h) )
A = X × √2 − W
Explanation of formulas
- W is the width of the microstrip line.
- h represents the thickness of the dielectric substrate.
- D corresponds to the diagonal of the elbow, X is the length of the mitred part, and A is the length adjusted to maintain the impedance match.
- These equations balance geometry and RF performance for a clean, low-reflection bend.
Calculation of mitered elbow for W = 1112 mil and h = 22 mil
Input : W = 1112 mil, h = 22 mil
Exit :
- D = 1572.61 mil
- X = 817.75 mil
- A = 44.48 mil
Benefits and uses
- Reduces reflections in 90° turns of microstrip lines.
- Maintains circuit impedance continuity.
- Improves signal integrity and overall RF performance.
- Practical tool for the design and optimization of high frequency circuits.