Sensitivity kernels for transmission fiber optics

Fiber-optic sensing technologies based on transmission offer an alternative to scattering-based Distributed Acoustic Sensing (DAS). Being able to interrogate fibers that are thousands of kilometers long, opens opportunities for seismological studies of remote regions, including ocean basins. However, by averaging deformation along the fiber, transmission systems only produce integrated and not distributed measurements. Here we develop a formalism to calculate sensitivity kernels with respect to (Earth) structure, using optical phase delay measurements. With this, we demonstrate that transmission-based sensing can effectively provide distributed measurements when the phase delay time series is dissected into different windows. The extent to which a potentially useful sensitivity coverage can be achieved, depends on the fiber geometry, and specifically on its local curvature. This work establishes a theoretical foundation for both tomographic inversions and experimental design, using transmission-based optical sensing.