# Microwave Pipes

2482

IEEE rRANSACTI0N. S i9000 ON ELECTRON DEVICES, VOLUME. ED-32, NUMBER 11, THE FALL OF 1985

An auto dvd unit for the, Klystron. Cavity Gap

J. RODNEY M. VAUGHAN,

FELLOW, IEEE

radius of curvature r,,. It was recognized by the employees during World War I1 [l], [2]#@@#@!!, who also observed that the " perfectly sharpвЂќ space could be fixed by the way of conformal modification, and yielded a sin-' variation of the potentia2 through the gap when ever g/a was either really small or substantial. The supposition that this option was as well reasonably good in the middle array of g/a resulted in the pitch [2] to use J0(S/2) instead of sin (8/2)/(8/2) in (1). This was equivalent to saying that the sharp distance case corresponded to a straight-forward gap about 25 percent for a longer time, since Jo(x) is a good estimation to bad thing 1 . 25d1. 25~ above the -1. ADVANTAGES range of ideals that arise (up to about four radians transit HE DISTANCE of a klystron cavity is usually shownin Fig. 1 . Fie. ds angle). developedby a great RF volts VRF across the gap of In reality, the gap is neither perfectly sharp neither perlength g will connect to an electron beam of radiuc. b fectly straight-forward. Kosmahl and Branch [3] adopted the cosh moving at velocity uo through thetunnel of radius a. Under function to represent the field over the gap inside the form large signal circumstances, an integral from the form 1E. J dv is E&, a) sama dengan Eo funds (mz), (-g/2 < z . < g/2) required to figure out the discussion accurately. However uric-er small-signal conditions, which in turn apply for basically the Past =0 ( 2 > g/2). 11 (2) few space of a multicavity tube, the interaction can be represented with a coupling factor M: this can be a factor 3y The variable m, which includes the sizing of an inverse which the strength exchange is usually reduced from that due te a duration, describes the sharpness of the gap a nous, but asdc voltage modify equal to the height RF ac electricity. It is handbag. - putting your signature on a value to it is a matter of some problems for the sically a transit-time aspect, but the fringing of the fiel'js design engineer. Kosmahl and Branch attained a value by simply in an ungridded gap triggers the flow time to vary as a utilizing a relaxation plan to get a comprehensive map with the function of radius. This kind of variation, consequently, depends on the cavity fields; the program LALA by Rich and McRoberts thorough distribution of field across the gap, since this is [5] is capable of carrying out this calculation, yet costs portion of the boundary state from which the fields in the about 300 dollar for a sole case also at " overnightвЂќ costs, as interior must be extracted. well to be fairly hard to use. Kosmahl and Branch An accurate vdlue for Meters is of raising importance be- also revealed that the value obtained was consistent with trigger klystrons with larger numbers of cavities are now classical pekurbation measurements made by drawing a being seriously considered; inside the expression for the gain bead along the axis; nevertheless this does not supply a method of an n-cavity klystron, M seems to the 2nth power. for measuring the importance of m, as the Gaussian hump The simplest presumption is the uniform field of strengllb obtained from measurements over the axis is consistent V& /g, the " straight-forward gap. вЂќ This assumption leads to a thew with any fair distribution at the gapedge. Kosmahl retical coupling factor Mth, averaged overthe beam radius, and Part also advised that the worth of cosh (mg/2) might normally sit in the range 1 . twenty-five to 3. The cosh function is in fact closely related to the earlier sin-' remedy for the: differentiating these to find the field, we have m / m, and increasing this simply by where almost 8 is the transportation angle u g they would o plus the binomial theorem we find the first two terms to be y = J(o/uo)2 -- (w/# identical with the series expansion from the cosh times; the solutions differ just close to the distance edge(x -+ l ), where l/ which has been the typical expression used formany l/1-; cz includes a singularity suitable to the well-defined corner years. while cosh x is without singularity. This difference in the...

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