## What is/are Resonance Condition?

Resonance Condition - The effectiveness of the approach is confirmed numerically and experimentally in mitigation of low-frequency vibrations, including resonance conditions, of a slender planar frame structure subjected to harmonic, sweep and random forced excitations.^{[1]}This paper presents harmonic analysis of a wind plant and evaluates the resonance conditions near characteristic harmonic frequencies between the wind plant and the transmission system.

^{[2]}The green lines correspond to the resonance conditions for the lowest energy unbound electron hole pair (UBP).

^{[3]}A pair of LC circuits has been used to demonstrate the resonance condition of electromagnetic waves.

^{[4]}In particular, resonance condition, on which the phase speed of internal wave matches with the ice-band propagation speed, is always satisfied even if wind speed becomes slow.

^{[5]}The electron neutral collisions have no effect on resonance condition but THz amplitude and efficiency decreases with increase in frequency of electron neutral collisions.

^{[6]}The excitation frequencies are chosen as equal to the tanks’ natural frequencies so that they would be subject to a resonance condition.

^{[7]}Analysis of resonance conditions indicates that the broadband magnetosonic waves can affect protons by multiple harmonic cyclotron resonances.

^{[8]}The results are mainly related to the resonance condition.

^{[9]}For a given laser energy and pulse duration, we show that absorption peak is red-shifted from the expected Mie-resonance condition $$\omega =\omega _\mathrm {M}$$ , irrespective of linear polarization (LP) and circular polarization (CP) of laser.

^{[10]}As an illustration, at resonance conditions, this model can reduce RAO to about 67%.

^{[11]}The damping unit is capable of mitigating resonance and eliminating the power loss under the non-resonance condition.

^{[12]}The graphical discussions were promised to achieve extreme absorption via spatial shape of Hermite-cosh-Gaussian laser beam and resonance condition of beat wave to surface plasmon frequency.

^{[13]}The transmission and reflection characteristics of the filters are explained by the resonance conditions, which agrees with theoretical calculations.

^{[14]}Provided that certain non-resonance conditions are satisfied, we conjugate the Hamiltonian of the problem to an integrable normal form Hamiltonian with remainder, which is used to define approximate local first integrals and to classify the transits of orbits through a neighbourhood of the Lagrange equilibria according to the values of these integrals.

^{[15]}Analysis of the resonance condition has found that energetic electrons moving forward along the magnetic field resonate more effectively than those moving backward.

^{[16]}Focusing on the resonance condition, which maximizes the voltage amplification, we then discuss the effect of the tap point position, dissipation and the optional capacitive load, in terms of resonator performance and matching to the power supply.

^{[17]}In this work, two-dimensional numerical studies on a Y-shaped thermoacoustic combustor with a Helmholtz resonator attached are conducted to shed lights on the damping performances of the resonators at off-resonance conditions.

^{[18]}It is shown that the penetration depth of the electromagnetic field increases under antiresonance condition and decreases under resonance.

^{[19]}We also provide a design procedure in case of unstable zero dynamics using an incremental input regularization and a nonresonance condition.

^{[20]}The data show that the resonance Raman spectrum of the coordination complex Ag(Nisa) is comparable to the SERS spectrum obtained out of resonance condition.

^{[21]}The charge transfer nature of the lowest energy electronic transition, from phosphine to borane, was confirmed by the selective enhancement of the Raman bands associated to the FLP chromophore at resonance condition.

^{[22]}We present comprehensive temperature dependent Raman measurements for chemical vapor deposition grown horizontally aligned layered MoS2 in a temperature range of 4–330 K under a resonance condition.

^{[23]}Volume-of-fluid (VOF) and large eddy simulation (LES) models were employed to simulate a violent wave-breaking phenomenon at finite water depths under resonance conditions.

^{[24]}We show that under resonance conditions, highly doping lanthanide ions in NaYF4 nanocrystals makes the real part of the Clausius–Mossotti factor approach its asymptotic limit, thereby achieving a maximum optical trap stiffness of 0.

^{[25]}An effective and reversible tuning of the intensity of surface-enhanced Raman scattering (SERS) of nonelectroactive molecules at nonresonance conditions by electrochemical means has been developed on plasmonic molecular nanojunctions formed between Au@Ag core-shell nanoparticles (NPs) and a gold nanoelectrode (AuNE) modified with a self-assembled monolayer.

^{[26]}

## Internal Resonance Condition

The upper boundaries of the frequency bandgap under 1:1/2 and 1:1/3 internal resonance rise nonlinearly with the characteristic frequency of the secondary system to higher than those under linear and 1:1 internal resonance conditions.^{[1]}The behavior may become even more complicated in the presence of any internal resonance conditions.

^{[2]}The Tutorial focuses on the physical principles of nonlinear ultrasonic guided waves leading to the so-called internal resonance conditions that provide a means for selecting primary waves that generate cumulative secondary waves.

^{[3]}A visualization tool is developed to study these pitch oscillations and gain insight into the rigid body motion near internal resonance conditions.

^{[4]}The analysis of the second harmonics of Lamb waves in a free boundary aluminum plate, and the internal resonance conditions between the Lamb wave primary modes and the second harmonics are investigated.

^{[5]}The method of multiple scales is employed to obtain the governing equations of the amplitudes and phases for the two-degree-of-freedom nonlinear dynamical system under the three-to-one internal resonance condition.

^{[6]}

## Parametric Resonance Condition

In this case, the gyroscope operates in a generalized parametric resonance condition, which is called subharmonic excitation.^{[1]}The responses of the system for the primary, principal parametric and simultaneous primary and principal parametric resonance conditions have been studied.

^{[2]}Moreover, the piezoelectric voltage can be used to control the parametric resonance conditions of nanostructures.

^{[3]}In this case, the resonator operates in a generalized parametric resonance condition, which is called subharmonic oscillation.

^{[4]}The heuristic feedback introduction (based on the energy behavior analysis) in the oscillation equation permits one to prove that the frequency modulation satisfying the parametric resonance condition is not necessary and sufficient condition of the oscillations unlimited increase.

^{[5]}

## Velocity Resonance Condition

Moreover, the interaction between a dark-single-soliton and a dark-two-soliton molecule is discussed under the circumstance of the velocity resonance condition.^{[1]}Secondly, on the basis of soliton solutions, the soliton molecule of the equation is studied by means of the velocity resonance condition, and the dynamic diagram of the specific case is given.

^{[2]}The multi-solitary wave which should satisfy the velocity resonance condition is obtained by solving the Hirota bilinear form of the eBLMP equation.

^{[3]}Using N-soliton solution and a novel velocity resonance condition can generate soliton molecules of the the extended Caudrey–Dodd–Gibbon equation.

^{[4]}

## Plasmon Resonance Condition

We show that photoluminescence is attributed to the cascade Brillouin scattering of the incident wave by metal phonons under the plasmon resonance conditions.^{[1]}medium show that the plasmon resonance condition in the absence of impurities is performed in the wavelength range of 270-370 nm.

^{[2]}For this, the well-known plasmon resonance condition was first generalized to include the shape and volume fraction of MNPs.

^{[3]}We study light–matter interactions leading to the generation of photon drag voltage under surface plasmon resonance conditions in noble metal thin films and observe important effects, which provide opportunity for condensed matter theorists to critically evaluate theoretical models.

^{[4]}

## Ferromagnetic Resonance Condition

We have revealed peculiarities of reflection of an EM wave from the magnetic emulsion layer under the action of magnetic fields with a strength much smaller than that corresponding to the ferromagnetic resonance condition.^{[1]}These variations have been found to be caused by both high efficiency of interaction of the millimetre-range electromagnetic waves with the nanocomposite, in particular, under the ferromagnetic resonance condition, and fulfilment of the geometric resonance conditions.

^{[2]}These changes are due both to effective interaction between millimeter electromagnetic waves and YIG plates (specifically, under ferromagnetic resonance conditions) and to the fulfillment of geometrical resonance conditions (when an integer number of half-waves or an integer odd number of quarter-waves are accommodated on the thickness of the plate).

^{[3]}

## Landau Resonance Condition

Specifically, the twisted Landau resonance condition is expressed in a consistent way, which expands the resonance region, and hence modifies the usual assumption of decomposition of the susceptibility in axial and poloidal components involving two separate poles.^{[1]}Besides, if neither the bounce nor Landau resonance condition is satisfied at the initial, then the amplitude threshold of stochastic motion also shows the increasing trend for lower frequencies and the decreasing trend for higher frequencies, but the amplitude threshold is always very large (> 5 nT).

^{[2]}The recently derived quasilinear operator in tokamak geometry accounts for these features and finds that the quasilinear diffusivity is proportional to a delta function with a transit or bounce averaged argument (rather than a local Landau resonance condition).

^{[3]}

## On Resonance Condition

Charge transport mobility is enhanced by 50 times under ON resonance condition.^{[1]}The apparent reaction rates are increased by more than six times at the ON resonance condition, and the rate enhancement follows the lineshape of the vibrational envelope.

^{[2]}Electron mobility is enhanced more than 50 times at ON resonance conditions.

^{[3]}

## Under Resonance Condition

Under resonance conditions, dye molecules and metal NPs produce large Rabi splitting due to strong coupling.^{[1]}Under resonance conditions, we observe an intensity enhancement of the SnV emission by a factor of 12 and a 16-fold reduction of the SnV lifetime.

^{[2]}Under resonance condition, an abrupt phase change is revealed, and the corresponding phase shift is measured by interferometric techniques applied in both the spectral and spatial domains.

^{[3]}

## Particle Resonance Condition

These changes occur because successive poloidal interactions with the rf are correlated in tokamak geometry and because the resonant velocity space dependent interactions are controlled by the spatial and temporal behaviour of the perturbed full wave fields rather than just the spatially local Landau and Doppler shifted cyclotron wave–particle resonance condition associated with unperturbed motion of the particles.^{[1]}The analytical knowledge of the orbital spectrum is crucial for the formulation of particle resonance conditions with symmetry-breaking perturbations and the study of the resulting particle, energy and momentum transport.

^{[2]}This edge localized TAE mode drifts in ion-diamagnetic direction may be driven by barely trapped energetic electrons considering the contribution of poloidal bounce effect in the general wave-particle resonance condition.

^{[3]}

## Photon Resonance Condition

The energetic cost can be manipulated by adjusting detuning of the system and the energetic cost takes the minimum with one-photon resonance condition.^{[1]}We show that a simultaneous fulfilment of a two-photon resonance condition that creates ground state coherence and a three-photon resonance condition leads to a significantly higher amplification of 7.

^{[2]}When the two-photon resonance condition is satisfied, the shift of the fork is the weakest since the strongest probe field intensity induces the weak nonlinear phase shift.

^{[3]}

## Raman Resonance Condition

Raman resonance conditions allow us to observe S* and 3NAP exclusively by FSR, through vibrations which are pertinent only to these two states.^{[1]}Furthermore, we have tested the role of simultaneous plasmon resonance and Raman resonance conditions for the aν1 + bν3 overtone mode of water (755 nm) in SE-FSRS signal amplification.

^{[2]}

## New Resonance Condition

The temporal wave function containing the tripartite interaction statuses via a canonical transformation and new resonance conditions is obtained.^{[1]}In this work, the soliton molecules, three soliton molecules and four soliton molecules are obtained for the new (3 + 1)-dimensional Kadomtsev-Petviashvili (KP) equation by the velocity resonance mechanism which is a new resonance condition and the N-soliton solution.

^{[2]}

## Double Resonance Condition

Additionally, to the best of our knowledge, the strongly intensified emission of the neutral biexciton XX0 at double resonance condition is observed for the first time.^{[1]}We consider a planar system $$z'=f(t,z)$$ under non-resonance or double resonance conditions and obtain the existence of $$2\uppi $$ -periodic solutions by combining a rotation number approach together with Poincare-Bohl theorem.

^{[2]}

## Different Resonance Condition

Such design could increase its absorption bandwidth and tolerance to high angle-incidence due to the fact that various oblique flat sheets offer different resonance conditions while even a single oblique flat sheet could provide different optical paths for resonance.^{[1]}In order to solve these two problems, this paper compares four different resonance conditions and performs a large number of simulation experiments show that the antioffset performance of the system is the highest when both the primary and secondary sides are designed to be detuned, but a certain efficiency is sacrificed.

^{[2]}

## resonance condition associated

These changes occur because successive poloidal interactions with the rf are correlated in tokamak geometry and because the resonant velocity space dependent interactions are controlled by the spatial and temporal behaviour of the perturbed full wave fields rather than just the spatially local Landau and Doppler shifted cyclotron wave–particle resonance condition associated with unperturbed motion of the particles.^{[1]}Importantly, there is a frequency dependent resonance condition associated with the range width of the perturbations, Δ, such that Γmn→0 as Δ→0 and ∞.

^{[2]}