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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 frequency...

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:

Bandpass Sampling

Bandpass Sampling

In signal processing, bandpass sampling is an effective technique for sampling signals that have most of their energy concentrated within a narrow frequency band. This type of signal is known as a bandpass signal. The key principle of bandpass sampling involves sampling the signal at a rate that is greater than twice the signal's bandwidth to prevent aliasing.
A bandpass signal has a spectrum with a lower frequency limit, denoted as ω1, and an upper frequency limit, denoted as ω2. The spectrum...

Standing Waves in a Cavity

Standing Waves in a Cavity

A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:

Design Example

Design Example

The innovation of touch-tone telephony revolutionized the telecommunications industry by replacing the traditional rotary dial with a dual-tone multi-frequency (DTMF) signaling system. This system uses a matrix-style keypad with buttons arranged in four rows and three columns, creating 12 distinct signals each assigned to a pair of frequencies. Each button press results in a simultaneous generation of two sinusoidal tones – one from a low-frequency group (697 to 941 Hz) and one from a...

Parallel Resonance

Parallel Resonance

The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:

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Related Experiment Video

Updated: Jun 22, 2026

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

Tunable double-cavity solid-spaced bandpass filter.

Johan Floriot, Fabien Lemarchand, Michel Lequime

|June 3, 2009

Summary

We developed a tunable bandpass filter for Wavelength Division Multiplexing (WDM) using a vernier effect. This novel filter efficiently addresses specific wavelengths in the C-Band with minimal temperature changes.

Area of Science:

Optics and Photonics
Telecommunications Engineering

Background:

Wavelength Division Multiplexing (WDM) systems require precise wavelength filtering.
Existing filters often have limitations in tunability and sensitivity.

Purpose of the Study:

To introduce and demonstrate the feasibility of a tunable multiple-cavity solid-spaced bandpass filter.
To leverage the vernier effect for enhanced wavelength selection in WDM applications.

Main Methods:

Utilized a multiple-cavity filter design with differing thermal sensitivities.
Employed temperature variations to achieve wavelength tuning via the vernier effect.
Investigated filter performance across the C-Band spectrum.

Main Results:

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Last Updated: Jun 22, 2026

Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters

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Demonstrated the feasibility of the tunable solid-spaced bandpass filter.

Achieved addressing of specific wavelengths within the C-Band using temperature changes under 100°C.

Observed a sensitivity gain factor of approximately 5 compared to standard thin-film filters.

Conclusions:

The proposed filter design is a viable solution for tunable WDM applications.
The vernier effect in dual-cavity filters offers significant advantages in sensitivity and control.
This technology can enhance the efficiency and flexibility of optical communication systems.