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Related Concept Videos

Characteristics of Series Resonant Circuit01:24

Characteristics of Series Resonant Circuit

Series resonance occurs in a circuit containing inductive (L), capacitive (C), and resistive (R) elements connected sequentially. At the resonance frequency, the inductive and capacitive reactances are equal in magnitude but opposite in sign, effectively canceling each other. This causes the circuit's impedance is minimal, primarily determined by the resistance R. The resonant frequency of an RLC circuit is defined as:
Parallel Resonance01:23

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:
Design Example: Underdamped Parallel RLC Circuit01:17

Design Example: Underdamped Parallel RLC Circuit

Consider designing an oscillator circuit, a crucial component in various electronic devices and systems. The objective is to create an oscillator circuit with specific characteristics: a damped natural frequency of 4 kHz and a damping factor of 4 radians per second. To accomplish this, a parallel RLC circuit is employed, known for its ability to sustain oscillations at a resonant frequency. In this case, the damping factor is pivotal in achieving the desired performance.
Starting with a fixed...
Resonance in an AC Circuit01:26

Resonance in an AC Circuit

The property of an inductor makes it resist any change in the current passing through it, while the property of a capacitor is to build up the charge across its terminals. Hence, if an inductor and capacitor are connected in series, they have opposite effects on the relative phase between current and voltage. The current through the circuit undergoes forced oscillation at the frequency of the source. The resistance term in an R-L-C circuit acts as a damping term because power is dissipated...
Series Resonance01:17

Series Resonance

The RLC circuit impedance is defined as the ratio of the supply voltage to the circuit current. Resonance in such a circuit occurs when the imaginary part of this impedance equals zero. This specific condition means that the inductive reactance is exactly equal to the capacitive reactance. The frequency at which this happens is known as the resonant frequency. Mathematically, the resonant frequency is inversely proportional to the square root of the product of the inductance (L) and capacitance...
RLC Circuit as a Damped Oscillator01:30

RLC Circuit as a Damped Oscillator

An RLC circuit combines a resistor, inductor, and capacitor, connected in a series or parallel combination.
Consider a series RLC circuit. Here, the presence of resistance in the circuit leads to energy loss due to joule heating in the resistance. Therefore, the total electromagnetic energy in the circuit is no longer constant and decreases with time. Since the magnitude of charge, current, and potential difference continuously decreases, their oscillations are said to be damped. This is...

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Updated: Jul 19, 2026

Fabrication and Characterization of High-Q Silicon Nitride Membrane Resonators
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Berry's phase amplification by a ring resonator.

Ilya Golub1

  • 1iUreka, Ottawa, Ontario, Canada. ilya.golub@rogers.com

Optics Letters
|October 31, 2006
PubMed
Summary

Berry's phase, a type of geometrical phase, can be amplified using a ring resonator (RR). This resonant enhancement, similar to other optical phenomena, boosts Berry's phase by the resonator finesse F.

Area of Science:

  • Optics and Photonics
  • Quantum Information Science

Background:

  • Ring resonators (RRs) are known to enhance optical properties like linear phase, birefringence, and chirality.
  • Berry's phase, also known as geometrical phase, is a fundamental concept in quantum mechanics and optics.

Purpose of the Study:

  • To investigate the resonant enhancement of Berry's phase using a ring resonator.
  • To quantify the amplification factor of Berry's phase within a ring resonator.

Main Methods:

  • Placing a Berry's phase-generating element within a ring resonator.
  • Analyzing the effect of repeated light passes on Berry's phase amplification.

Main Results:

  • Berry's phase can be amplified by repeatedly passing light through a Berry's phase-generating element in a ring resonator.

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  • The small-signal amplification of Berry's phase is found to be equal to the resonator finesse (F).

    • Conclusions:

    • Resonant enhancement of Berry's phase is achievable using ring resonators.
    • The amplified Berry's phase has potential applications in quantum computation and sensor technologies, such as fiber-optic sensors.