A MEMS grating modulator with a tunable sinusoidal grating for large-scale extendable apertures
Published in Bioengineering & Biotechnology, Electrical & Electronic Engineering, and Physics

MEMS grating modulators enable versatile beam steering functions through the electrostatic actuation of movable ribbons. These modulators operate at ultrahigh frequencies in the hundred kHz range, and their micromirror-free configuration simplifies the fabrication process and reduces costs compared to micromirror-based modulators. However, these modulators are limited in their optical efficiency and aperture. Especially in FSO communication or remote sensing applications, the aperture size and efficiency are crucial factors for improving the detection range and energy efficiency.
In this work, we introduced a tunable sinusoidal grating-based MEMS grating modulator with a large-scale extendable aperture and high optical efficiency. The proposed modulator is constructed with a tunable grating pitch array, in which each pitch is designed with a broadside-constrained continuous ribbon to generate deflection deformation. Owing to the unidirectional equal stiffness of the pitch, its resonant frequency remains constant regardless of variations in its longitudinal dimensions. Consequently, a large-scale aperture can be constructed by extending the pitch length and arranging the pitches in a one-dimensional array. Additionally, a continuous sinusoidal grating profile, rather than a rectangular discrete grating, was adopted to modulate the diffraction intensity with a higher optical efficiency. Owing to the proposed sinusoidal grating structure, the modulator chip can be efficiently fabricated with only a two-layer structure configuration.

Fig. 1. Schematic diagram of the proposed MEMS grating modulator. (a) Structure of the modulator. (b) Single grating pitch of the MEMS grating modulator. (c) First resonant mode and its frequency for a single grating pitch.
For the current embodiment, the implemented continuous sinusoidal grating enables the modulator to have a surface fill factor of over 96% and an optical efficiency of over 90%, corresponding to an optical insertion loss of less than 1 dB. The end-free grating allows scalability along the grating, enabling a large aperture of 30 × 30 mm. Regarding optical modulation performance, an extinction ratio of over 20 dB and a modulation contrast of over 98% is achieved for the 0th-order beam with normal incidence light. The reported modulator can achieve a dynamic modulation contrast of over 95% within a 250 kHz operating frequency. The proposed modulator also achieves nearly full modulation within an incident angle range of ± 30° and a FOV of 120° under a 3 dB bandwidth.

Fig.2. Far-field diffraction patterns in the (a) experimental results for the "on" and "off" states at wavelengths of 635 nm and 1550 nm show high consistency with (b) simulation results. The significant difference in the 0th-order spot between two states highlights the superior modulation contrast of the MEMS grating modulator. (c) Displacement and corresponding extinction ratio (ER@635 nm) of the modulator under varying voltages. As the voltage increases, the grating profiles change from convex (unmodulated) to flat ("on" state) and finally to concave ("off" state). (d) The frequency response indicates a critical damping or overdamped response, where both displacement and the extinction ratio decrease with increasing frequency but remain stable below 250 kHz, enabling the modulator to operate effectively and achieve nearly full modulation within this frequency range.

Fig. 3. Optical modulation performance of the MEMS grating modulator. (a) Input signal from the amplifier (black) and output signal from the PIN PD at near-normal incidence (blue). (b) A detected voltage signal of the 0th-order beam at operating frequencies from 100 to 300 kHz. (c) Modulation contrast variation with the incident angle at an operating frequency of 100 kHz.
The reported MEMS grating modulator holds promise for application in high-speed light attenuation and modulating retroreflector free-space optical (MRR-FSO) communication systems. Our device also paves new ways for future high-speed, energy-efficient, and cost-effective communication networks.
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