# Angular and frequency response of the gravitational wave interferometers in the metric theories of gravity

## TL;DR

This paper derives general formulas for the angular and frequency responses of various gravitational wave interferometers to arbitrary polarization modes predicted by metric theories of gravity, enhancing understanding of detector sensitivities.

## Contribution

It provides comprehensive formulas for detector responses to all polarization modes in different interferometer configurations, applicable across various metric theories of gravity.

## Key findings

- Response patterns vary with polarization and frequency.
- Sensitivity depends on interferometer configuration and polarization mode.
- Formulas enable improved detection strategies for alternative gravity theories.

## Abstract

We analyze detector responses of gravitational wave detectors for gravitational waves with arbitrary polarizations predicted in the metric theories of gravity. We present the general formulas for the frequency responses valid in various interferometric arrangements including Michelson, Delay-Line and Fabry-Perot detectors. We analyze the angular and frequency behavior and the sensitivity patterns of the responses for each polarization mode.