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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:

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:

Characteristics of Series Resonant Circuit

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:

Sound Waves: Resonance

Sound Waves: Resonance

Resonance is produced depending on the boundary conditions imposed on a wave. Resonance can be produced in a string under tension with symmetrical boundary conditions (i.e., has a node at each end). A node is defined as a fixed point where the string does not move. The symmetrical boundary conditions result in some frequencies resonating and producing standing waves, while other frequencies interfere destructively. Sound waves can resonate in a hollow tube, and the frequencies of the sound...

Double Resonance Techniques: Overview

Double Resonance Techniques: Overview

Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
Spin decoupling is usually achieved by...

Resonance in an AC Circuit

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...

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Related Experiment Video

Updated: May 6, 2026

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

Published on: August 5, 2013

Whispering gallery mode diamond resonator.

V S Ilchenko, A M Bennett, P Santini

|November 2, 2013

Summary

This summary is machine-generated.

We developed a nearly spherical diamond resonator with a high quality factor (Q factor) of 2.4×10^7. This resonator shows consistent performance across different wavelengths, making it suitable for laser stabilization applications.

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Last Updated: May 6, 2026

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

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Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators

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Development of Whispering Gallery Mode Polymeric Micro-optical Electric Field Sensors

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Area of Science:

Optics
Materials Science
Quantum Technology

Background:

Whispering gallery mode (WGM) resonators are crucial for various photonic applications.
Diamond offers unique optical properties but achieving high Q factors in spherical WGMs remains challenging.

Purpose of the Study:

To demonstrate a nearly spherical diamond whispering gallery mode resonator with a high Q factor.
To investigate the wavelength dependence of the Q factor in diamond WGMs.
To assess the potential of such resonators for laser locking and frequency conversion applications.

Main Methods:

Fabrication of a nearly spherical diamond resonator.
Measurement of the Q factor at different wavelengths (1319 nm and 1550 nm).
Characterization of material loss (α).

Main Results:

Achieved a Q factor of 2.4×10^7, limited by material loss (α≈4×10^-3 cm^-1).
Demonstrated wavelength-independent Q factor at 1319 nm and 1550 nm.
Resonator linewidth is less than 10 MHz at 1550 nm.

Conclusions:

The demonstrated diamond WGM resonator exhibits a high and wavelength-independent Q factor.
These resonators are promising for laser locking and stabilization.
Further material improvements could enable applications like optical comb generators and Raman frequency shifters.