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H. Ghorbaninejad, A. Ghajar |
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Fig. 9 The frequency response of the band-stop filter, shown in Fig. 8
4 Conclusion
In this paper, a new method has been proposed to design both band-pass and band-stop E-plane waveguide filters. Furthermore, the proposed method can be applied to design waveguide filter with a desired frequency response characteristic. In this method, each conventional resonator is replaced by a longitudinal patterned plane, which can be designed by genetic algorithm optimization, so that the scattering parameters of the structure will be fitted to that of the desired resonator. The proposed method facilitates and accelerates the optimization process in comparison to simulator software. Furthermore, a waveguide filter with a desired frequency response characteristic can be designed, as a single block instead of some cascaded blocks. Moreover, the proposed approach could be helpful to design waveguide filters with higher selectivity features. The performance of the proposed approach has been approved, by some examples, and using comparison between the obtained and simulated results.
Appendix
The electric dyadic Green’s functions derived as follows.
G |
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emen |
nk2 |
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k2 |
sin |
k x |
Þ |
cos k y |
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sin |
k x0 |
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cos k y0 |
exp |
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Cmn |
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X X emen |
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Cmnky sin kxx cos kyy |
sin kxx0 |
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sin kyy0 |
exp |
Cmn |
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ð23Þ |
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Genetic algorithm design for E-plane waveguide filters |
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Gzx |
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Cmnky sin kxx |
Þ |
sin kyy sin kxx0 |
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cos kyy0 |
exp |
ð |
Cmn |
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m¼0 n¼0 2jxe0abCmn |
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ð |
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ð |
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ð24Þ |
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Gzz |
X X |
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sin kxx sin kyy |
sin kxx0 |
Þ |
sin |
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k02 |
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¼ m¼0 n¼0 2jxe0abCmn |
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ð Þ |
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ð |
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2Cmndðz z0Þ& expð Cmnjz z0jÞg |
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q |
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where |
Cmn ¼ |
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the |
propagation |
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l0e0, |
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ðmp=aÞ þðnp=bÞ k0 |
constant, k0 |
¼ x |
kx ¼ mp=a, and ky ¼ np=b. In Eqs. 22, 23, upper and lower sign corresponds to z z0; and z\z0 respectively and the Neumann factor en is given by:
en |
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1; n ¼ |
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2; n |
6¼ |
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References
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