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To find the critical coupling strength we study the behavior of the difference .
With less than critical coupling, there is one peak in the response occurring at resonance.
With critical coupling or above, the peaks reach the maximum gain available from the amplifier.
In general, this reasoning leads to the correct critical coupling value for synchronization.
One more feature about optical coupling is the critical coupling.
Critical coupling occurs when the two peaks just coincide.
The existence of a critical coupling strength is related to the chaotic nature of the isolated dynamics.
Such a response is said to be undercoupled, At values of k above critical coupling the response starts to split into two peaks.
In the case of the theory a symmetry restoration is observed above a critical coupling constant if a temperature independent renormalization is used.
In particular, by studying the appearance of degeneracies among the lowest massive states, one can determine the critical coupling strength associated with spontaneous symmetry breaking.
The method developed is applied to problems of radio wave propagation in inhomogeneous, anisotropic, dissipative media with critical coupling regions.
Above the critical coupling leading to dynamical chiral symmetry breaking, we show that there is no finite chiral limit.
The critical coupling shows that no light is passing through the waveguide after the light beam is coupled into the optical ring resonator.
In theory in 1 + 1 dimensions, we find results, in particular, for mass renormalization and the critical coupling for symmetry breaking that are in agreement with their quantum counterparts.
Overcoupling is when the secondary coil is so close that it tends to collapse the primary's field, and critical coupling is when the transfer in the passband is optimal.
For these critical coupling regions we employ a nonsingular transformation matrix associated with variable characteristic values to convert the original equation to a form that can be more readily resolved analytically (using an iterative approach) or numerically.
For critical coupling regions of the independent variable where the characteristic values of the coefficient matrix tend to merge, the standard technique employing similarity transformations does not convert the original set of differential equations into a form that is suitable for numerical computations.