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Zakharov–Kuznetsov Equation for Describing Low-Frequency Nonlinear Dust-Acoustic Perturbations in the Dusty Magnetosphere of Saturn
AbstractThe paper presents a description of low-frequency nonlinear dust-acoustic waves in the dusty magnetosphere of Saturn, which contains two...
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Tunable optical frequency comb in a microresonator using amplitude and frequency modulation
Optical frequency combs are generated using cavity soliton in the microresonator comprising a vertical cavity surface emitting laser with graphene...
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Modified Zakharov–Kuznetsov Equation for Describing Low-Frequency Nonlinear Perturbations in Plasma of the Dusty Moon Exosphere
AbstractThe nonlinear equation is obtained describing the dynamics of nonlinear wave structures in the dusty plasma above the illuminated surface of...
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Derivation of the Dirac Equation from the Wave Equation of the Vacuum
In this chapter, we show that the Dirac equationDirac equation can be derived naturally based on the quantum wave modelQuantum wave model. In fact,...
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The Klein–Gordon Equation
From the early works on the constitution of the atom made by pioneers like A. Sommerfeld[aut]Sommerfeld, Arnold Johannes Wilhelm, the need to...
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The SONAR Equation
The SONAR (abbreviation for SOund NAvigation and Ranging) equation quantifies the performance of a detection system in Underwater Acoustics. The...
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Frequency Synthesizer
A frequency synthesizerFrequency synthesizer is a control systemControl system”, which stabilizes the output frequencyOutput frequency of a...
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Optical Frequency Comb
Optical Frequency comb has become a ruler of light nowadays for standard of length. A notable synergy among existing technologies occurs for...
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Resonance behavior for a fractional underdamped bistable system with multiplicative and additive noise driven by one high-frequency and one low-frequency periodic signal
The stochastic resonance (SR) phenomenon for a fractional underdamped bistable system with multiplicative and additive noise driven by one...
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Circuit Equation of Grover Walk
We consider the Grover walk on the infinite graph in which an internal finite subgraph receives the inflow from the outside with some frequency and...
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Frequency Stability
The stability of clock largely depends on its underlying oscillator. A clock’s time can be mathematically described as the phase of an oscillator of...
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The Wave Equation
In 1925, quantum mechanics was put on solid ground when Erwin Schrödinger discovered the equation that is named after him today. It was then clear...
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Equation of State of Materials
Equation of state (EOS)—a macroscopic representation of the thermodynamic state of materials under static and shock compression, is amongst the most...
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Quantum Frequency Conversion
The \(^{87}\) Rb atoms used in our experiments emit write-out photons at a...
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Mixing and Frequency Multiplication
This chapter is dedicated to the theory and circuits for frequency translations. Whereas linear circuits have inputs and outputs at the same...
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Atomic Frequency Standards
From tracking the movement of celestial bodies to mechanical clocks and now prevalent atomic clocks, timekee** has been one of the greatest quests...
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Spatial Frequency Domain Imaging
In this chapter, we will cover the principles of operation of spatial frequency domain imaging techniques and how this modality has been applied to...
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Atomic Frequency Standards
From tracking the movement of celestial bodies to mechanical clocks and now prevalent atomic clocks, timekee** has been one of the greatest quests...
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Wave propagation to the doubly dispersive equation and the improved Boussinesq equation
In this paper, we examine the optical solitons for the nonlinear doubly dispersive equation and the modified Boussinesq equation, which explain the...
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High-Frequency Electrostatic Cnoidal Waves in Unmagnetized Plasma
In this paper, the propagation of high frequency electrostatic electron-acoustic cnoidal waves (EACWs) is investigated in an unmagnetized homogenous...
