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Active Filters

Active Filters

Active filters are electronic circuits that use operational amplifiers (op-amps), resistors, and capacitors to filter out unwanted frequency components from a signal. A first-order low-pass active filter is designed to pass signals with a frequency lower than a certain cutoff frequency and attenuate frequencies higher than that cutoff frequency. The transfer function for a first-order low-pass active filter is:

Passive Filters

Passive Filters

Passive filters are utilized to shape the frequency spectrum of signals across a diverse array of applications. These filters, using only passive elements like resistors (R), inductors (L), and capacitors (C), are capable of selectively allowing or blocking certain frequency ranges without the need for external power sources.
Low-Pass Filters
Low-pass filters are designed to transmit signals with frequencies lower than the cutoff frequency, ωc, and attenuate those above it. The cutoff...

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Related Experiment Video

Updated: Jun 5, 2025

Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters

Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters

Published on: February 4, 2018

Metatronics-inspired high-selectivity metasurface filter.

Qihao Lv¹, Xu Qin¹, Mingzhe Hu¹

¹Department of Electronic Engineering, Tsinghua University, Beijing 100084, China.

Nanophotonics (Berlin, Germany)

|December 5, 2024

Summary

This summary is machine-generated.

Metatronic circuits use metasurfaces for high-selectivity optical filters. This approach simplifies optical nanocircuit design, enabling efficient, near-rectangular filtering responses.

Keywords:

dispersion synthesis high-selectivity metasurface filter metatronics

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Area of Science:

Photonics and Nanotechnology
Metasurface Optics
Optical Circuit Design

Background:

Metatronic circuits adapt electronic lumped circuit concepts to optics and photonics.
Metasurfaces offer a platform for novel optical nanocircuit designs.
Achieving high-selectivity filtering with compact optical components is a key challenge.

Purpose of the Study:

To introduce a general approach for dispersion synthesis with metasurfaces for high-selectivity filtering.
To demonstrate the realization of lumped circuit elements in metatronics using metasurface dispersion.
To design optical filters with near-rectangular responses using stacked metasurfaces.

Main Methods:

Theoretical and numerical demonstration of metasurface dispersion tailoring to mimic lumped elements.
Application of Butterworth filter design principles to metasurface stacking.
Comparison of the proposed method with conventional optical filter designs.

Main Results:

Successful synthesis of metasurface dispersion to achieve lumped circuit elements.
Demonstration of a near-rectangular filtering response by stacking designed metasurfaces.
Achieved high selectivity and wide out-of-band rejection with a simple and efficient assembly process.

Conclusions:

The proposed dispersion synthesis approach enables efficient design of high-performance optical filters.
Metasurface-based metatronics offers a simplified paradigm for integrated optical circuits.
This method presents exciting possibilities for future photonic integrated circuits and chips.