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microstrip patch antenna design using photonic crystals as substrate..

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Hello all..

i am trying to design micro-strip patch antenna in ADS using photonic crystals as a substrate .. can any one guide me how to find the Band Gap frequencies in photonic crystals. ???

i like to use alumina as photonic crystal
and like to have operating frequency around 12 GHz,,

please let me know by your views..
 

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