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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:
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...
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:
Sound Waves: Resonance01:14

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...
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...
Double Resonance Techniques: Overview01:12

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...

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Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
12:18

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

Published on: August 5, 2013

Negative-frequency resonant radiation.

E Rubino1, J McLenaghan, S C Kehr

  • 1Dipartimento di Scienza e Alta Tecnologia, Università dell'Insubria, Via Valleggio 11, IT-22100 Como, Italy.

Physical Review Letters
|September 26, 2012
PubMed
Summary
This summary is machine-generated.

Optical solitons generate blueshifted frequencies via resonant emission, creating a new negative resonant radiation mode. This phenomenon was confirmed in bulk media and photonic-crystal fibers.

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Area of Science:

  • Nonlinear optics
  • Quantum optics
  • Photonics

Background:

  • Optical solitons are self-reinforcing light pulses that maintain their shape while propagating.
  • Resonant emission processes can lead to frequency shifts in light-matter interactions.
  • Dispersion relations describe how the speed of light varies with frequency in a medium.

Purpose of the Study:

  • To investigate the mechanism of frequency up-conversion in optical solitons.
  • To predict and identify a novel light propagation mode generated by solitons.
  • To experimentally validate the predicted phenomenon in different optical materials.

Main Methods:

  • Theoretical modeling of soliton propagation and resonant emission.
  • Numerical simulations to analyze light-matter interactions.
  • Experimental measurements in bulk media and photonic-crystal fibers.

Main Results:

  • Optical solitons were observed to emit light at blueshifted frequencies.
  • A new mode, termed negative resonant radiation, was generated through soliton coupling.
  • Experimental data confirmed the theoretical predictions for both bulk media and photonic-crystal fibers.

Conclusions:

  • The study elucidates a novel mechanism for frequency up-conversion in optical solitons.
  • Negative resonant radiation represents a significant new phenomenon in nonlinear optics.
  • The findings have implications for understanding light propagation and developing new photonic devices.