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Related Concept Videos

Second-Order Circuits01:17

Second-Order Circuits

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Integrating two fundamental energy storage elements in electrical circuits results in second-order circuits, encompassing RLC circuits and circuits with dual capacitors or inductors (RC and RL circuits). Second-order circuits are identified by second-order differential equations that link input and output signals.
Input signals typically originate from voltage or current sources, with the output often representing voltage across the capacitor and/or current through the inductor. For example, in...
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Cascaded Op Amps01:16

Cascaded Op Amps

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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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Second-order Op Amp Circuits01:19

Second-order Op Amp Circuits

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Implementing second-order low-pass filters in audio systems is crucial in refining audio signals by eliminating undesirable high-frequency noise. These filters typically involve second-order op-amp circuits configured as voltage followers, encompassing two nodes with distinct storage elements.
The analysis of such circuits follows a systematic approach, similar to the second-order RLC circuits. In practical scenarios, bulky inductors are rarely employed due to their size and weight. This means...
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Parallel Resonance01:23

Parallel Resonance

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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:
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Design Example: Underdamped Parallel RLC Circuit01:17

Design Example: Underdamped Parallel RLC Circuit

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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...
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Sound Waves: Resonance01:14

Sound Waves: Resonance

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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...
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Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
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Frequency Comb Generation via Cascaded Second-Order Nonlinearities in Microresonators.

Jan Szabados1, Danila N Puzyrev2, Yannick Minet1,3

  • 1Laboratory for Optical Systems, Department of Microsystems Engineering-IMTEK, University of Freiburg, Georges-Köhler-Allee 102, 79110 Freiburg, Germany.

Physical Review Letters
|June 6, 2020
PubMed
Summary
This summary is machine-generated.

Researchers developed a novel optical frequency comb using lithium niobate microresonators and cascaded second-order nonlinearities. This miniaturized device operates at low pump powers, enabling new possibilities in time and frequency metrology.

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Area of Science:

  • Photonics
  • Nonlinear Optics
  • Materials Science

Background:

  • Optical frequency combs are crucial for time and frequency metrology.
  • Microresonator-based combs, typically using third-order nonlinearity, have enabled miniaturization.
  • Second-order nonlinearity (χ⁽²⁾) based combs are less explored due to limitations in previous designs.

Purpose of the Study:

  • To demonstrate the first optical frequency comb based on cascaded second-order nonlinearities in a microresonator.
  • To explore the potential of lithium niobate microresonators for generating such combs.
  • To investigate the nonlinear dynamics and performance of the generated combs.

Main Methods:

  • Fabrication of a millimeter-sized lithium niobate microresonator.
  • Utilizing cascaded second-order nonlinearities (χ⁽²⁾) for comb generation.
  • Characterization of the generated combs at low pump powers (2 mW).

Main Results:

  • Successful generation of repetition-rate-locked optical frequency combs.
  • Operation achieved at low pump powers around 1064 nm and 532 nm.
  • Observed combs correspond to Turing roll patterns in nonlinear dynamics.

Conclusions:

  • Lithium niobate microresonators are a viable platform for second-order nonlinearity-based optical frequency combs.
  • This approach offers a promising route for miniaturized, low-power comb generation.
  • The findings open new avenues for advanced metrology and photonic applications.