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Forces then occur between the polarized material and the light eld, analogous to the net force on an electric dipole in an electric eld gradient. The time-averaged force was derived to be (Viswanathan et al., 1999a) as follows: D E ~ ~ ~ f P r E 4:8 The grating inscription is related to the spatially varying material susceptibility, the magnitude of the electric eld, and the gradient of the electric eld. This theory was extended to include near- eld optical gradient forces, which have been used for patterning in some experiments (Ikawa et al., 2001). The gradient force model naturally includes the polarization dependence of the incident light, and reproduces essentially all of the polarization features of single-beam and SRG experiments. It has been pointed out (Natansohn and Rochon, 2002), however, that another analysis (Gordon, 1973) of forces exerted on polarizable media suggested a dependence on the gradient of the electric eld, but not its polarization direction. The gradient force theory requires azobenzene photochemistry to modulate susceptibility via photoorientation and also implicitly assumes that photoplasticization is enabling mass transport. It would appear, however, that the force density predicted by this model is much too small to account for mass transport in real systems. A straightforward analysis presented by Saphiannikova et al. (2004a) is described here. In the case of two circularly polarized beams (for instance), the force acting in the x-direction, according to the gradient electric force model, would be



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file:///D|/Downloads/Livros/computa o/Computer%20Neown%20Approach%20Featuring%20the%20Internet/snmphtm (3 of 15)20/11/2004 15:53:15

4:9

window's worth of segments, the server continues to transmit segments after having transmitted the first window's worth of segments And because the acknowledgements arrive periodically at the server every S/R seconds from the time when the first acknowledgement arrives, the server transmits segments continuously until it has transmitted the entire object Thus, once the server starts to transmit the object at rate R, it continues to transmit the object at rate R until the entire object is transmitted The latency therefore is 2 RTT + O/R Now let us consider Case 2, which is illustrated in Figure 37-6 In this figure, the window size is W=2 segments





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Figure 37-6: the case that WS/R < RTT + S/R Once again, after a total of two RTTs the client begins to receive segments from the server These segments arrive peridodically every S/R seconds, and the client acknowledges every segment it receives from the server But now the server completes the transmission of the first window before the first acknowledgment arrives from the client Therefore, after sending a window, the server must stall and wait for an acknowledgement before resuming transmission When an acknowledgement finally arrives, the server sends a new segment to the client Once the first acknowledgement arrives, a window's worth of acknowledgements arrive, with each successive acknowledgement spaced by S/R seconds For each of these acknowledgements, the server sends exactly one segment Thus, the server alternates between two states: a transmitting state, during which it transmits W segments; and a stalled state, during which it transmits nothing and waits for an acknowledgement The latency is equal to 2 RTT plus the time required for the server to transmit the object, O/R, plus the amount of time that the server is in the stalled state To determine the amount of time the server is in the stalled state, let K = O/WS; if O/WS is not an integer, then round K up to the nearest integer Note that K is the number of windows of data there are in the object of size O The server is in the stalled state between the transmission of each of the windows, that is, for K-1 periods of time, with each period lasting RTT- (W-1)S/R (see above diagram) Thus, for Case 2, Latency = 2 RTT + O/R + (K-1)[S/R + RTT - W S/R] Combining the two cases, we obtain

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where 2y is the angle between the two beams and k=2p/l. Since E02=2Iz0, where z0 is the vacuum impedance and I is the light intensity, the maximum expected force is fmax 4p e0 z0 wI l 4:10

The combination of signi cant reductions of both radar and IR signatures must make a stealthy aircraft very dif cult to detect and engage by conventional means, herein lies the attraction The suppression of these two signatures has an impact upon aircraft design in the following areas: Most aircraft re ections are from the engine intake and exhausts and therefore considerable efforts may be expended to avoid these ori ces acting as radar re ectors The F-117 uses an inlet grid to minimise intake re ections; other aircraft use serpentine ducts to trap re ecting rf energy Intakes and jet pipes apart, angular corners or large plane re ecting surfaces should be avoided Even straight edges such as wing leading or trailing edges may increase the re ecting area for some aircraft aspects.

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