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On the inverse relationship between quality factor and bandwidth of small antennas

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2 Author(s)
Rashid, A.K. ; Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore, Singapore ; Zhongxiang Shen

Relationship between the reflection coefficient bandwidth and quality factor (Q) of a small antenna is revisited using a simple frequency independent model. A tuned small antenna is considered in this case, which is modeled as either a series or a shunt RLC network. When the antenna resistance is matched with the characteristic impedance of the feed-line, both configurations lead to an identical relation, which is also interestingly identical to the well-known inverse bandwidth-Q formula for small antennas. However, this well-known formula is only applicable when the antenna is perfectly matched to its feed line. In this paper, a more general and yet simple form of this expression is derived, which can encompass the effect of mismatch between the antenna and its feed-line. Furthermore, we derive separate relations for the bandwidth-Q product, for both the loaded and unloaded cases. As an illustrative example, a microstrip patch antenna is considered to validate the results.

Published in:

Microwave Conference, 2009. APMC 2009. Asia Pacific

Date of Conference:

7-10 Dec. 2009