2026/06/30 by S. D. Campos
Physics and Astronomy · #gr-qc #astro-ph.HE
Several improvements, including reorganization of the sections and the inclusion of considerations regarding Pulsar Timing Arrays
arxiv created 2026/08/03 · arxiv updated 2026/08/05
We present a paraxial wavepacket model for structured, collimated gravitational-wave bursts and derive the coherent response of detector networks to these signals. For current terrestrial baselines such as LIGO-Virgo, analytic mismatch estimates confirm that the paraxial wavepacket model waveforms are effectively indistinguishable from standard sine-Gaussian bursts, validating the robustness of the plane-wave approximation in this regime. However, we identify a physical scaling regime relevant to third-generation networks and galactic-scale Pulsar Timing Arrays in which finite transverse structure-motivated by wave-optics lensing or ultra-relativistic beaming induces non-negligible geometric phase shifts. A toy event-level Monte Carlo study compares a standard burst-search ranking with a paraxial wavepacket model-constrained statistic that penalizes geometric inconsistencies across detectors. In this controlled setup, the model prior yields an illustrative factor of ∼ 3-4 gain in detection efficiency at a fixed false-alarm rate, while maintaining performance on plane-wave-like signals. These results suggest that paraxial corrections may provide a necessary metrological framework for signal discrimination and unbiased parameter estimation in future cosmic-scale observations.