. The directional analysis of ocean waves : an introductory discussion. Ocean waves. Recall that sin(a) = sin(+Tr-a). Thus for a given _ 0 we get, since a must be obtained from an arcsin relationship, two possible values of wave direction, the true value 6 and its image () This is illustrated in Figure 5. In actual practice we do not know the true direction, thus a given value of (j) >_ 0 gives the direction as «. = tj* [? * "^J where 0 <_ a _< •it/2 is obtained from the principle value of the arcsin. If (j) 0 and Lq = Lq/^Ij < 0. so that arcsin (L^) gives -tt/Z <_ a <
. The directional analysis of ocean waves : an introductory discussion. Ocean waves. Recall that sin(a) = sin(+Tr-a). Thus for a given _ 0 we get, since a must be obtained from an arcsin relationship, two possible values of wave direction, the true value 6 and its image () This is illustrated in Figure 5. In actual practice we do not know the true direction, thus a given value of (j) >_ 0 gives the direction as «. = tj* [? * "^J where 0 <_ a _< •it/2 is obtained from the principle value of the arcsin. If (j) 0 and Lq = Lq/^Ij < 0. so that arcsin (L^) gives -tt/Z <_ a < True Wave Direction V e' (False Direction) FIGURE 5. DIRECTION ANALYSIS FROM A PAIR OF ARRAY ELEMENTS 28. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Bennett, Carl M; Naval Coastal Systems Laboratory (U. S. ). Panama City, Fla. : Naval Coastal Systems Laboratory
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