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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:
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...
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...
Oscillations In An LC Circuit01:30

Oscillations In An LC Circuit

An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
Cascaded Op Amps01:16

Cascaded Op Amps

Operational amplifiers (op-amps) are versatile electronic components that can be interconnected in a cascade - one after another in a linear sequence. This cascading is possible due to their infinite input resistance and zero output resistance, allowing them to maintain their input-output relationships even when connected in series.
In a cascaded system, each op-amp is referred to as a stage. The output of one stage drives the input of the subsequent stage. As the input signal passes through...

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Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
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Diffractively coupled Fabry-Perot resonator with power-recycling.

Michael Britzger1, Daniel Friedrich, Stefanie Kroker

  • 1Albert-Einstein-Institut, Max-Planck-Institut für Gravitationsphysik and Leibniz Universität Hannover, Callinstr 38, 30167 Hannover, Germany.

Optics Express
|September 22, 2011
PubMed
Summary

We developed an all-reflective cavity coupler using a diffraction grating, avoiding substrate absorption and thermal effects. This novel approach is promising for future gravitational wave detectors.

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Area of Science:

  • Optics and Photonics
  • Gravitational Wave Astronomy

Background:

  • Conventional cavity coupling methods often involve transmissive components that can cause thermal issues due to light absorption.
  • Thermal effects in optical components can negatively impact the sensitivity of precision instruments like gravitational wave detectors.

Purpose of the Study:

  • To demonstrate an all-reflective optical cavity coupling method that eliminates substrate-induced thermal effects.
  • To explore the feasibility of using a dielectric 3-port diffraction grating as an all-reflective coupler for precision optical systems.

Main Methods:

  • Utilized a dielectric low-efficiency 3-port diffraction grating as the sole coupling element.
  • Implemented an all-reflective scheme to couple two optical cavities in a table-top experiment.
  • Compared experimental results with a theoretical model accounting for the grating's properties.

Main Results:

  • Successfully demonstrated optical coupling between two cavities without light transmission through a substrate.
  • Observed that the all-reflective coupler effectively bypasses thermal effects associated with substrate absorption.
  • Experimental findings showed qualitative agreement with the theoretical model.

Conclusions:

  • The developed all-reflective cavity coupler effectively mitigates thermal issues relevant to high-sensitivity experiments.
  • This all-reflective coupling technique shows significant potential for enhancing future gravitational wave detectors.
  • The use of 3-port diffraction gratings offers a viable alternative for cavity coupling in demanding optical applications.