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A test of Lorentz invariance for electromagnetic waves was performed bycomparing the resonance frequencies of two optical resonators as a function oforientation in space. In terms of the Robertson-Mansouri-Sexl theory, we obtain$\beta-\delta-1/2=(+0.5\pm 3\pm 0.7) E-10$, a ten-fold improvement compared tothe previous best results. We also set a first upper limit for a so far unknownparameter of the Standard Model Extension test theory,$|(\tilde{\kappa}_{e-})^{ZZ}| < 2\cdot E-14$.Comment: 4 pages, 2 figures, accepted for publication Phys. Rev. A (2005

Test of constancy of speed of light with rotating cryogenic optical resonators