Meaning
Impedance transformation methods employing a transmission line section with a length equal to one fourth of the operating wavelength minimize reflections between mismatched components. Applying quarter wave matching allows an antenna with a high input impedance to interface with a standard fifty ohm coaxial cable. The method provides a fundamental tool in radio frequency circuit design.
Geometric Design
Physical dimensions of the matching section are determined by the dielectric constant of the substrate and the target frequency. During quarter wave matching, the width of the microstrip line is adjusted to reach the calculated characteristic impedance. High precision manufacturing is necessary to maintain the correct electrical length.
Line Calculation
Characteristic impedance of the matching line is found by taking the square root of the product of the source and load impedances. If quarter wave matching is used to connect a ten ohm load to a ninety ohm source, the transformer must have an impedance of thirty ohms. Errors in this calculation result in a higher standing wave ratio.
Bandwidth Limit
Transformation effectiveness is highest at the design frequency and decreases as the signal moves away from that center point. Because quarter wave matching is a narrow band technique, it is best suited for systems with a small percentage bandwidth. Adding multiple stages with slightly different lengths can broaden the frequency range over which the impedance match remains acceptable for the system requirements.