Figures 9.9–9.12 show results of simulations carried on by means of the function mathisim. Figure 9.9 corresponds to the parameters Sign in to download full-size image Figure 9.9. Simulation of Mathieu equation; sinusoidal response Sign in to download full-size image Figure 9.10. Simulation of ...
Equation (2) is referred to as a wave equation since its solutions consist of sinusoidal traveling waves with amplitude E. These waves consist of oscillating electric and magnetic fields, and are thus known as EM waves. The optical properties of any material can be understood in terms of the...
Considering the sinusoidal waveform, the phase difference is explained as the time gap where the wave either falls behind or leads in correspondence to another wave. This term is just a characteristic of a single wave and it is the relative characteristic of either two or more waves. This is ...
Modelocked lasers constitute the fundamental source of optically-coherent ultrashort-pulsed radiation, with huge impact in science and technology. Their modeling largely rests on the master equation (ME) approach introduced in 1975 by Hermann A. Haus. Ho
If each question can be answered yes, the motion is SHM: Does the object oscillate? Does the oscillation move back and forth around the rest position of the object? Does the motion appear sinusoidal? Is the motion periodic? Does the forward motion of the object appear proportional to its ...
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OHOS::UIXAxis OHOS::UIYAxis OHOS::Vector2< T > OHOS::Vector3< T > OHOS::VirtualDeviceEvent OHOS::Window OHOS::WindowConfig option OsalAtomic OsalFile OsalFirmware OsalFwBlock OsalMutex OsalSem OsalSpinlock OsalThread OsalThreadParam OsalTimer OsalTimespec Outp...
The graph of the cosine function is shown below, with the {eq}x {/eq}-axis measured in radians. The graph of y = cos(x). The shape of the cosine graph is a sinusoidal wave which oscillates with amplitude 1 around a middle value of 0. Notice that the cosine function has a period...
Since the system is linear, the generalized coordinate vector Q and the unsteady potential for the sinusoidal wave excitation formulated by Eq. (9.44b), respectively, take the oscillations with the same frequency ωe in the forms (9.60e)Q=Q¯ejωet,Φ¯(xi,t)=Φ¯(xi)ejωet=[...
Further, the vectors are generally directed along the x axis and point left and right in the upper and lower areas, respectively, while changes in their directions are observable only near the nullcline, which clearly explains the limit-cycle motion in this system. Thus, because of the ...