Parametric oscillator

About: Parametric oscillator is a research topic. Over the lifetime, 5836 publications have been published within this topic receiving 95631 citations. The topic is also known as: Parametric excitation.

Hierarchic Electrodynamics and Free Electron Lasers: Concepts, Calculations, and Practical Applications

Abstract: Part I: Hierarchical Electrodynamics: Key Concepts, Ideas, and Investigation Methods High-Current Free Electron Lasers as a Historical Relic of the Star Wars Epoch Star Wars Program from Today's Point of View Key Ideas and Potential Design Elements of the Star Wars Program Femtosecond Laser Systems: Basis, Concepts, and Ideas CFEL Systems: Methods for Formation and Application of Electromagnetic Clusters Other Exotic Methods of Formation of Super-Powerful EMPs Elements of the Theory of Hierarchic Dynamic Systems Hierarchy and Hierarchic Dynamic Systems Fundamental Principles in Natural Hierarchic Systems Postulates of the Theory of Hierarchic Systems Hierarchic Trees and the Concept of the System God Hierarchic Description: Basic Ideas and Approaches Hierarchic Oscillations Oscillations as a Universal Physical Phenomenon Hierarchic Oscillations and Hierarchic Trees Relativistic Electron Beam without the Proper Magnetic Field as a Hierarchic Oscillation System Relativistic Electron Beam with the Proper Magnetic Field as a Hierarchic Oscillation System Hierarchic Waves Waves Electron Beam as a Hierarchic Wave System Elementary Mechanisms of Wave Amplification in FELs Hierarchic Description Decompression and Compression Operators: General Case of Lumped Systems Distributed Hierarchic Systems Decompression Operator in the Case of the Van der Pol Method Decompression and Compression Operators in the Case of the Averaging Methods Decompression Operator in the Case of Systems with Slow and Fast Variables Hierarchic Systems with Fast Rotating Phases General Approach Decompression Operator in the Simplest Case of One Scalar Phase Case of Two Fast Rotating Scalar Phases Case of Many Rotating Scalar Phases Method of Averaged Characteristics One Example of the Application of the Method of Averaged Characteristics Electron Oscillations in FEL-Like Electronic Systems Formulation of the Problem Cyclotron Resonances Parametric Resonances: General Case Case of Two Electromagnetic Waves Bounded (Coupled) Parametric Resonance in the Field of Three Electromagnetic Waves Model with Pumping by the Crossed Magnetic and Electric Undulation Fields Hierarchic Oscillations and Waves: The Foundation of the World? Tree of Life: The Ancient Cosmogonic Concept and Method of Investigation Hierarchy, Oscillations, Modern Physics, and the Tree of Life Evolution of the Universe in Terms of the Tree of Life Doctrine Hierarchic Cycles (Oscillations) in Earth Systems Integrity of the Surrounding World as a Totality of Seven-Level Hierarchic Besoms Instead of a Conclusion Part II: High-Current Free Electron Lasers Free Electron Lasers for the Cluster Systems Parametrical Free Electron Lasers: Most General Information Two-Stream Superheterodyne Free Electron Lasers: History and Typical Design Schemes Cluster Klystron SFEL: The Main Design Schemes and Operation Principles Linear High-Current Induction Accelerators Undulation High-Current Induction Accelerators General Description of the FEL Models General FEL Model Formulation of the General FEL Problem Method of Simulating the FEL Pumping Fields Parametrical (Ordinary) Free Electron Lasers: Weak-Signal Theory Self-Consistent Truncated Equations: Simplest Example Kinematical Analysis Amplitude Analysis More General Dopplertron Model: Explosive Instability Arbitrarily Polarized Dopplertron Model: Truncated Equations Arbitrarily Polarized Kinetic Model: Approximation of Given Pumping Field in the Case of Raman Mode Arbitrarily Polarized Kinetic Model: An Approximation of a Given Pumping Field in the Case of the Compton Mode Arbitrarily Polarized Dopplertron Model: Explosive Instability in the Raman Model Explosive Instability in the Linearly Polarized Compton Model Effect of Generation of the Transverse H-Ubitron Field Ordinary (Parametrical) Free Electron Lasers: Cubic-Nonlinear Theory Truncated Equations: Dopplertron Model Truncated Equations: The H-Ubitron Model Effect of Nonlinear Generation of the Longitudinal Electric Field Isochronous Model of a Dopplertron Amplifier Generation of the Additional H-Ubitron Magnetic Field Two-Stream Superheterodyne Free Electron Lasers Two-Stream Instability Ordinary Two-Stream Superheterodyne Free Electron Lasers Project of the Simplest Femtosecond TSFEL Former Plasma-Beam and Parametrical Electron- Wave Superheterodyne FEL Plasma-Beam Superheterodyne Free Electron Lasers: H-Ubitron Model Plasma-Beam Superheterodyne Free Electron Lasers: Dopplertron Model Parametrical Three-Wave Instability in Two- Velocity High-Current Beams Parametrical Electron-Wave Two-Stream Superheterodyne Free Electron Lasers Index

A parametric electrostatic resonator using repulsive force

Abstract: In this paper, parametric excitation of a repulsive force electrostatic resonator is studied. A theoretical model is developed and validated by experimental data. A correspondence of the model to Mathieu's Equation is made to prove the existence and location of parametric resonance. The repulsive force creates a combined response that shows parametric and subharmonic resonance when driven at twice its natural frequency. The resonator can achieve large amplitudes of almost 24 μm and can remain dynamically stable while tapping on the electrode. Because the pull-in instability is eliminated, the beam bounces off after impact instead of sticking to the electrode. This creates larger, stable trajectories that would not be possible with traditional electrostatic actuation. A large dynamic range is attractive for MEMS resonators that require a large signal-to-noise ratio.

Efficient self-resonance instability from axions

Abstract: It was recently shown that a coherent oscillation of an axion can cause an efficient parametric resonance, leading to a prominent emission of the gravitational waves (GWs). In this paper, conducting the Floquet analysis, we investigate the parametric resonance instability, which potentially triggers the emission of the GWs from axions. Such a resonance instability takes place, when the time evolution of the background field significantly deviates from the harmonic oscillation. Therefore, the resonance instability cannot be described by the Mathieu equation, whose stability/instability chart is well known. In this paper, introducing an explicitly calculable parameter , which can be used to classify different types of the parametric resonance described by the general Hill's equation, we investigate the stability/instability chart for the general Hill's equation. This can also apply to the case where the background oscillation is anharmonic. We show that the flapping resonance instability, which takes place for =O(1), typically leads to the most significant growth of the inhomogeneous modes among the self-resonance instability. We also investigate whether the flapping resonance takes place for the cosine potential or not.