Second poling

The dominant pole is created by the source impedance of the MOSFET, and the output capacitor. A second pole is created by the MOSFET s Ciss and its driving impedance. Therefore, the MOSFET... 

The first order resonator as just described has one serious drawback because its pole is not on the real-axis, its coefficient Oi will be complex also, which is a violation of the condition that all the coefficients of the polynomial should be real. This problem can be coimtered by the use of complex conjugate pairs of poles. If we have a pole with the desired values re- , we simply create a second pole with value re. This will ensure the coefficients are always real, and as the pole has a negative value for 0, its resonance will occur in the negative frequency range, leaving... 

This is a general rule for connecting energies-per-entity between separable poles and their dipole. In order to consider this system as a dipole, we need to consider the immobile body as the second pole, featured by zero values of its velocity and momentum ... 

The principle of the conservation of the basic quantities between the poles is that, when the basic quantity of the first pole is minimum, the basic quantity of the dipole is equal to It is the converse for the second pole when its basic quantity is minimum, the dipole basic quantity is equal toCT". 

It can be remarked that the equality E4.8 between dipole basic quantities amounts to writing the invariance of the substance amount of the second pole... 

Simplification It would have been graphically simpler to represent directly this invariance by omitting on the second pole the two connections coming from the dipoles, but this would have diminished the generality of the model. Keeping these connections outlines the fact that the invariance of the intermediate pole substance amount results from the equality E4.4 expressing the conservative transmission of the dipole flows. If this constraint is removed, by introducing a third port branched on the intermediate pole, this conservation does not hold anymore the connections between dipoles and multipole are modified but not those between poles and dipoles. 

This was for the first pole and for the forward reaction from species A, to A2 now, the same approach is used for the second pole and the backward reaction from species A2 to A,... 

The EM quadrupole trap (Paul trap) is formed by a ring electrode with a hyperbolic surface and a ring radius of ro as one pole, and two hyperbolic caps as the second pole (Fig. 14.23). The whole system has cylindrical sym-... 

In the first case (Fig. 2.19), as emerges from the previous considerations, the value of the zero of transmittance is larger than the value of the second pole. Thus, we can determine logof from the slope of the asymptote, and we have... 

The second pole, which Winner called a theory of technological politics, was a set of pathologies that claimed modernity s evolving systems were foreclosing the possibilities of humane existence. He identified nine recurrent themes of technological politics ... 

Recently photorefractivity in photoconductive polymers has been demonstrated (92—94). The second-order nonlinearity is obtained by poling the polymer doped with a nonlinear chromophore. Such a polymer may or may not be a good photoconductor. Usually sensitizers have to be added to enhance the charge-generation efficiency. The sensitizer function of fuUerene in a photorefractive polymer has been demonstrated (93). 

The resolution of the analog I/O channels of the controller vaiy somewhat, with 12-bit and 14-bit conversions quite common. Sample rates for the majority of the constant sample rate controllers range from I to 10 samples/second. Hard-wired single-pole, low-pass filters are installed on the analog inputs to the controller to protect the sampler from aliasing errors. 

The current in the copper ring opposes the main flux in that area of the pole and behaves like an artificial second winding, and develops a rotating field. Although the torque so developed is extremely low, it is enough to rotate such small drives, requiring an extremely low starting torque, of the order of 40-50% of the full load torque. 

To detect a motoring action by a single-pole reverse power relay with a time setting of 2-10 seconds for... 

The second compensating pole is just used to maintain high frequency stability by depressing the gain above the cross-over frequency. 

The first major pole is contributed by the output L-C filter. It represents a second order pole which exhibits a Q phenomenon, which is typically ignored, and a -40dB/decade rolloff above its corner frequency. The phase plot will quickly begin to lag starting at a frequency of 1/lOth the corner frequency, and will reach the full 180 degrees of lag at 10 times the corner frequency. The location of this double pole is found from... 

An example of a serial-recording EEL spectrometer is shown in Eig. 2.33 it features a magnetic prism system which was constructed for a TEM/STEM of the type JEOL JEM lOOS [2.199, 2.200]. Its second-order aberrations are corrected by curved pole-piece boundaries, an additional field clamp, and two extra hexapoles acting as stig-mators. The electron beam can be adjusted relative to the optical axis by use of several deflection coils. A magnetic round lens is positioned just in front of the prism to... 

The poles con espond to excitation energies, and the residues (numerator at the poles) to transition moments between the reference and excited states. In the limit where cj —> 0 (i.e. where the perturbation is time independent), the propagator is identical to the second-order perturbation formula for a constant electric field (eq. (10.57)), i.e. the ((r r))Q propagator determines the static polarizability. 

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