Figure 5 shows the percentage error in calculated quality factor versus r max . For better illustration of the effect of the conductivity, this figure is plotted in a logarithmic scale. It is clear that for r max between 3310 4 and 1:5310 5 , the error is <1%. As depicted, same as the case of Figure 4, there is an optimal range of r max for a known AB width and k max . For ensuring the accuracy of the method and increasing the optimal range of the parameters, one can increase the AB width. Moreover, performance of the method can be tested by plotting the field distribution.
CONCLUSIONBy introducing a radial AB medium and applying the onedimension finite-elements method, a precise method for the calculation of the quality factors and resonance wavelength of the WGM microresonators is proposed. The capability of the proposed method was proved by comparing the results with those obtained by full wave method. Electron 12 (2006), 15-32. 2. M. Mohammad-Taheri and D. Mirshekar-Syahkal, Accurate determination of modes in dielectric loaded cylindrical cavities using a onedimensional finite element method, IEEE Trans Microwave Theory Tech 37 (1989), 1536-1540. 3. E. Bagheri-Korani, M. Mohammad-Taheri, and M. Shahabadi, One dimension finite-elements method for the analysis of Whispering Gallery microresonators, J Opt Soc Am A 31, 1614-1622. 4. K. Sankaran, C. Fumeaux, and R. Vahledieck, Uniaxial and radial anisotropy models for finite-volume Maxwellian absorber, IEEE ABSTRACT: The present study demonstrates the designing and characterization of a circular patch antenna having an impedance bandwidth of 2.4-13.8 GHz with band notch at WLAN operating region. The small size (30 3 40 mm 2 ) and large bandwidth (140.7% fractional band width) makes it suitable for different UWB applications. Different size reduction and matching techniques are used in this model to achieve a better response. The Quarter wave transformer matching technique is used for broad band impedance matching between the radiating circular patch and the 50 ohm source impedance. The simple design and good agreement between the simulation and the experimental results makes the design a suitable candidate for practical applications.