Spurline
The spurline is a type of radio-frequency and microwave distributed element filter with band-stop (notch) characteristics, most commonly used with microstrip transmission lines. Spurlines usually exhibit moderate to narrow-band rejection, at about 10% around the central frequency.

Spurline filters are very convenient for dense integrated circuits because of their inherently compact design and ease of integration: they occupy surface that corresponds only to a quarter-wavelength transmission line.

Structure description 
It consists of a normal microstrip line breaking into a pair of smaller coupled lines that rejoin after a quarter-wavelength distance. Only one of the input ports of the coupled lines is connected to the feed microstrip, as shown in the figure below. The orange area of the illustration is the microstrip transmission line conductor and the gray color the exposed dielectric.

Where  is the wavelength corresponding to the central rejection frequency of the bandstop filter, measured - of course - in the microstrip line material. This is the most important parameter of the filter that sets the rejection band.

The distance between the two coupled lines can be selected appropriately to fine-tune the filter. The smaller the distance, the narrower the stop-band in terms of rejection. Of course that is limited by the circuit-board printing resolution, and it is usually considered at about 10% of the input microstrip width.

The gap between the input microstrip line and the one open-circuited line of the coupler has a negligible effect on the frequency response of the filter. Therefore, it is considered approximately equal to the distance of the two coupled lines.

Printed antennae
Spurlines can also be used in printed antennae such as the planar inverted-F antenna.  The additional resonances can be designed to widen the antenna bandwidth or to create multiple bands, for instance, for a tri-band mobile phone.

History
A spurline filter was first proposed by Schiffman and Matthaei in stripline form in 1964.  Bates adapted the design for microstrip in 1977.  Nguyen and Hsieh improved the analysis for microstrip implementations in 1983.

References

 C. Nguyen and K. Chang, “On the analysis and design of spurline bandstop filters,” IEEE Trans. Microw. Theory Tech., vol. 33, no. 12, pp. 1416–1421, Dec. 1985.

Primary sources
 B. M. Schiffman; G. L. Matthaei, "Exact design of band-stop microwave filters", IEEE Transactions on Microwave Theory and Techniques, vol. 12, iss. 1, pp. 6-15, 1964.
 R. N. Bates, "Design of microstrip spur-line band-stop filters", IEEE Journal on Microwave Optics and Acoustics, vol. 1, iss. 6, pp. 209-204, November 1977.
 C. Nguyen; C. Hsieh, Millimeter wave printed circuit spurline filters", IEEE MTT-S International Microwave Symposium Digest, pp. 98-100, 1983.

Microwave technology
Distributed element circuits