Odd-parity tests of Lorentz Invariance (LI) are ∼10<sup>4</sup> times more sensitive to odd-parity and isotropic (scalar) violations of LI than conventional even parity Michelson-Morley type experiments. This experiment is the first odd-parity tests to make use of an asymmetric optical resonator. We propose to sense counter-propagating modes within the resonator to deliver high sensitivity while giving substantial rejection of environmental systematic effects. Using a stationary experiment we have improved the constraint on the isotropic LI violating parameter κ<sub>tr</sub> to 3.4 ± 6.2 × 10<sup>-9</sup>. A non-stationary experiment is currently taking data and we will report the results at the conference.
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