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back to 05 This array has now only six active elements, but the beam width is still about the same as in the previous cases and the grating lobes have been reduced by about 5 dB compared to Figure 810 Better sidelobe control is obtained with an amplitude-tapered excitation The common weightings such as Dolph Chebyshev [Dolph 1946] and Taylor [Taylor 1955] were developed for linear and planar antennas Other, more general methods for low-sidelobe pattern synthesis are available for conformal arrays and will be discussed in 10 However, directly applying an amplitude taper according to, for example, Taylor to a cylindrical array can give useful results, as the following examples will demonstrate We show in Figure 813 three diagrams for a 16 element array with half-wavelength spacing on a 120 arc The radius is 382 and the elements have cosine-shaped patterns.

As described above, electrons diffracted by interaction with individual biological macromolecules embedded in a thin lm are manipulated by objective lenses mounted for magni cation purposes and afterwards by projector lenses to produce magni ed contrast images that are projected onto a viewing screen or into a camera aperture. Such contrast images are generated by direct interactions between accelerated electrons of the incident beam and individual embedded molecules, leading to a variety of amplitude and phase contrast effects that together create the observed images. Amplitude effects create dark regions within an image that arise from elastic scattering of a proportion of incident beam electrons owing to close atom encounters following thin lm penetration. Phase contrast effects create differential shaded regions within an image that arise alternatively from the partial retardation and subsequent re-phasing of a proportion of incident beam electrons owing to longer range encounters that may take place following thin lm penetration. As a rule, images generated from biological macromolecules embedded in a thin lm are formed primarily from phase contrast effects. Incident electrons automatically experience a /2 (90 ) phase shift as a result of passing through an embedded biological macromolecule. This effect is then augmented by phase shifts within the focal plane of the objective lenses as well.

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The three cases are an untapered case (a), tapered according to a sampled ( 20dB, n = 3) Taylor distribution (b), and a ( 30dB, n = 5) Taylor distribution (c) The patterns for corresponding linear arrays are also shown by dotted lines for comparison When we compare the circular arc array and the linear array with the same amplitude tapering, we find that the circular arc array has higher first sidelobes The beamwidth is also slightly wider Otherwise, the amplitude taper also successfully reduces the sidelobes in the circular case 833 Scan-Invariant Pattern With planar phased arrays, the radiation pattern changes with the direction of scan Conformal arrays with rotational symmetry, however, can have scan-invariant patterns in at least one dimension This is accomplished by moving the excitation around the array, for example, rotation in the azimuth for a cylindrical array.

In this example, importing a data set from a delimited file is error prone, because the source values other than the transaction date are not differentiated. If, however, text key values are used with the appropriate prefixes, you can more readily see that the correct import order in this case is as follows: Source Fields

Doing this in steps of one element division each time (commutating) makes the radiation pattern move in corresponding angular increments For a cophasal circular or cylindrical array, the increments are of about the same size as the azimuthal beam width (see 2) If better resolution is required, phase scanning can be used between the steps Scanning by commutating can also be applied to spherical and conical shapes; in principle to all kinds of conformal antennas However, it is only for rotationally symmetric arrays that we can get scan-invariant patterns Commutating requires phase control of the radiating elements in order to compensate for the array curvature the required compensation changes with the beam direction In addition, elements have to be switched in and out when the active area is moved Means for doing this will be discussed in 9 83.

B J z ) = -u(z)a,u-'(5),

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