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The Josephson effect is theoretically studied in two types of SQUIDsconsisting of $s$ wave superconductor and Sr$_2$RuO$_4$. Results show variousresponse of the critical Josephson current to applied magnetic fields dependingon the type of SQUID and on the pairing symmetries. In the case of a $p_x+ip_y$wave symmetry, the critical current in a corner SQUID becomes an asymmetricfunction of magnetic fields near the critical temperatures. Our results wellexplain a recent experimental finding [Nelson et. al, Science \textbf{306},1151 (2004)]. We also discuss effects of chiral domains on the criticalcurrent.Comment: 7 page

physical review. b, condensed matter and materials physics

Josephson interferometer in a ring topology as a proof of the symmetry of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi>Sr</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi>RuO</mml:mi><mml:mn>4</mml:mn></mml:msub></mml:mrow></mml:math>

Josephson interferometer in a ring topology as a proof of the symmetry ofSr2RuO4