Download Advances in Imaging and Electron Physics, Vol. 103 by Peter W. Hawkes (Ed.) PDF

By Peter W. Hawkes (Ed.)

Advances in Imaging and Electron Physics merges long-running serials--Advances in Electronics and Electron Physics and Advances in Optical & Electron Microscopy . The sequence gains prolonged articles at the physics of electron units (especially semiconductor devices), particle optics at low and high energies, microlithography, photograph technology and electronic photo processing, electromagnetic wave propagation, electron microscopy, and the computing equipment utilized in a majority of these domain names.

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Additional resources for Advances in Imaging and Electron Physics, Vol. 103

Example text

Thus, while the Green’s function integral in (25) yields in the far zone a global contribution from the entire aperture, the plane-wave integral (32) reduces to a local contribution from the stationary delay point. Both routes, however, yield the same time-dependent radiation pattern in (44)-(45). + IV. ILLUSTRATIVE EXAMPLE The preceding considerations are illustrated here for a specific pulsed field distribution U O ( ~t ), for which all operations can be performed analytically. The motivation for this example is to understand the physical content of the field and its spatial spectrum in the time domain.

The resulting PB is still astigmatic but it has a much simpler structure. In this case, the matrix I' has the diagonal form + r ( z ) = diag(c-'(z - iaj)-'], aj = L Y R ~ ia~,( Y R ~> 0 (84) where the complex constants a j , j = 1,2, are found from the initial value I'(0). Note that (84) complies with (79) and the condition a R j > 0 guarantees positive definiteness of rl. Equation (80) becomes [Note thyt (66)js a rotationally symmetric special case of ( 8 5 ) with a1 = 4 2 = a, and f(r) = s(t - ;TO).

Using R = 21 z &2z, where po denotes the radial coordinate of the integration point Q, we find that the integration domain in (25)is restricted to d t - z / c - T < P , ' / ~ c z< t - Z / C h + (27) The properties of integral (25) are, therefore, determined by what may be termed the TD collimation (or Fresnel) distance F = L2/cT (28) In the collimation zone ( z << F) the contributions in (25) come from rings in the 18 EHUD HEYMAN AND TIMOR MELAMED z = 0 plane as defined by (27). Beyond the collimation distance (z > F), on the other hand, the contributions in the space-time window 0 c t - z/c < T come from the entire aperture.

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