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Production of massless scalar particles by a relativistic semitransparent mirror of finite transverse size in (1+3)D flat spacetime is studied. The finite-size effect on the mode function is compared to the conventional scalar diffraction theory in optics. The derived particle spectrum formula is applied to two specific trajectories. One is the gravitational collapse trajectory commonly invoked in (1+1)D perfectly reflecting moving mirror literature, and the other is the plasma mirror trajectory proposed to be realizable in future experiments. We illustrate the finite-size effect on the particle spectrum, which should help to provide a guidance to the expectation in future flying mirror analog black hole experiments.
Production of scalar particles by a relativistic, semi-transparent mirror in 1+3D Minkowski spacetime based on the Barton-Calogeracos (BC) action is investigated. The corresponding Bogoliubov coefficients are derived for a mirror with arbitrary traje
Thermal noise of a mirror is one of the limiting noise sources in the high precision measurement such as gravitational-wave detection, and the modeling of thermal noise has been developed and refined over a decade. In this paper, we present a derivat
Thermal noise is expected to be the dominant source of noise in the most sensitive frequency band of second generation ground based gravitational wave detectors. Reshaping the beam to a flatter wider profile which probes more of the mirror surface re
A detailed canonical treatment of a new action for a nonrelativistic particle coupled to background gravity, recently given by us, is performed both in the Lagrangian and Hamiltonian formulations. The equation of motion is shown to satisfy the geodes
Stationary rotating strings can be viewed as geodesic motions in appropriate metrics on a two-dimensional space. We obtain all solutions describing stationary rotating strings in flat spacetime as an application. These rotating strings have infinite