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We investigated the precursor wave emission efficiency in magnetized purelyperpendicular relativistic shocks in pair plasmas. We extended our previousstudy to include the dependence of upstream magnetic field orientations. Weperformed two-dimensional particle-in-cell simulations and focused on twomagnetic field orientations: the magnetic field to be in the simulation plane(i.e., in-plane configuration) and perpendicular to the simulation plane (i.e.,out-of-plane configuration). Our simulations in the in-plane configurationdemonstrated that not only extraordinary but also ordinary mode waves areexcited. We quantified the emission efficiency as a function of themagnetization parameter $\sigma_e$ and found that the large-amplitude precursorwaves are emitted for a wide range of $\sigma_e$. We found that especially atlow $\sigma_e$, the magnetic field generated by Weibel instability amplifiesthe ordinary mode wave power. The amplitude is large enough to perturb theupstream plasma, and transverse density filaments are generated as in the caseof the out-of-plane configuration investigated in the previous study. Weconfirmed that our previous conclusion holds regardless of upstream magneticfield orientations with respect to the two-dimensional simulation plane. Wediscuss the precursor wave emission in three dimensions and the feasibility ofwakefield acceleration in relativistic shocks based on our results.

Precursor Wave Emission Enhanced by Weibel Instability in Relativistic Shocks