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Design Example: Capacitance Multiplier Circuit

Design Example: Capacitance Multiplier Circuit

In integrated circuit technology, a capacitance multiplier is often utilized to produce a larger capacitance value when a small physical capacitance falls short. This is achieved by a circuit that multiplies capacitance values by a factor of up to 1000, such that a 10-pF capacitor can replicate the performance of a 100-nF capacitor.
The circuit illustrated in Figure 1 below incorporates two op-amps, with the first operating as a voltage follower and the second acting as an inverting amplifier.

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Related Experiment Video

Updated: Feb 22, 2026

Fabrication and Testing of Microfluidic Optomechanical Oscillators

Fabrication and Testing of Microfluidic Optomechanical Oscillators

Published on: May 29, 2014

Nonreciprocal reconfigurable microwave optomechanical circuit.

N R Bernier¹, L D Tóth¹, A Koottandavida¹

¹Institute of Physics, École Polytechnique Fédérale de Lausanne, Lausanne, 1015, Switzerland.

Nature Communications

|September 21, 2017

Summary

Researchers demonstrate magnetic-field-free nonreciprocal microwave transmission using optomechanics. This superconducting circuit offers reconfigurable control for quantum circuits and communication systems.

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Area of Science:

Quantum Optics
Solid State Physics
Microwave Engineering

Background:

Nonreciprocal devices are crucial for radar, radio communication, and superconducting quantum circuits.
Traditional devices use ferrites, requiring bulky and lossy magnetic fields.
Magnetic-field-free alternatives are sought, with Josephson nonlinearity being a recent approach.

Purpose of the Study:

To realize reconfigurable nonreciprocal microwave transmission without magnetic fields.
To explore optomechanical interactions in superconducting electromechanical circuits for nonreciprocity.
To analyze the performance and potential applications of this novel approach.

Main Methods:

Utilizing purely optomechanical interactions in a superconducting electromechanical circuit.
Employing interference between two mechanical modes to mediate microwave coupling.
Analyzing isolation, transmission, and noise properties of the developed circuit.

Main Results:

Demonstrated reconfigurable nonreciprocal transmission between two microwave modes.
Achieved magnetic-field-free operation, overcoming limitations of traditional devices.
Showcased the potential for realizing quantum-limited circulators and directional amplifiers.

Conclusions:

Purely optomechanical nonreciprocity offers a promising magnetic-field-free alternative.
The demonstrated principle can be extended to various microwave and quantum devices.
This work lays the foundation for topological states of light and sound.