Phase-sensitive narrowband heterodyne holography

TL;DR

This paper introduces a phase-sensitive heterodyne holography method that uses multiplexed local oscillators and frequency chirping for precise, wide-field measurement of nanometric surface vibrations and phase shifts.

Contribution

It presents a novel heterodyne holography technique employing coherent frequency-division multiplexing and linear frequency chirp for quantitative vibration phase and amplitude mapping.

Findings

Successfully measured nanometric vibrations of a musical box component.

Detected resonance and phase jumps at specific excitation frequencies.

Validated the method with quantitative motion characterization.

Abstract

We report on amplitude and phase imaging of out-of-plane sinusoidal surface vibration at nanometer scales with a heterodyne holographic interferometer. The originality of the proposed method is to make use of a multiplexed local oscillator to address several optical sidebands into the temporal bandwidth of a sensor array. This process is called coherent frequency-division multiplexing. It enables simultaneous recording and pixel-to-pixel division of sideband holograms, which permits quantitative wide-field mapping of optical phase modulation depths. Additionally, a linear frequency chirp ensures the retrieval of the local mechanical phase shift of the vibration with respect to the excitation signal. The proposed approach is validated by quantitative motion characterization of the lamellophone of a musical box, behaving as a group of harmonic oscillators, under weak sinusoidal excitation. Images of the vibration amplitude versus excitation frequency show the resonance of the nanometric flexural response of one individual cantilever, at which a phase hop is measured. \copyright Optical Society of America.