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Title: Ferrite Lined Pillbox Cavity

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Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL) Relativistic Heavy Ion Collider
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Report Number(s):
DOE Contract Number:
Resource Type:
Technical Report
Country of Publication:
United States
43; relativistic heavy ion collider

Citation Formats

Hahn H., Blednykh, A., Hammons, L., Kayran, D., and Rose, J.. Ferrite Lined Pillbox Cavity. United States: N. p., 2007. Web. doi:10.2172/1061860.
Hahn H., Blednykh, A., Hammons, L., Kayran, D., & Rose, J.. Ferrite Lined Pillbox Cavity. United States. doi:10.2172/1061860.
Hahn H., Blednykh, A., Hammons, L., Kayran, D., and Rose, J.. Thu . "Ferrite Lined Pillbox Cavity". United States. doi:10.2172/1061860.
title = {Ferrite Lined Pillbox Cavity},
author = {Hahn H. and Blednykh, A. and Hammons, L. and Kayran, D. and Rose, J.},
abstractNote = {},
doi = {10.2172/1061860},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Thu Feb 01 00:00:00 EST 2007},
month = {Thu Feb 01 00:00:00 EST 2007}

Technical Report:

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  • The wakefields due to a bunch in a pillbox cavity can be found by mode-expansion of the fields given by the wave-equation. Usually one considers first the wakefield due to an infinitely short pulse and then integrates over the current distribution. Since the series for the delta function pulse converge rather poorly, it is preferable to use the wakefield due to a step-function current, which can also be integrated to give the result for an arbitrary current distribution. For the most important case of fields with azimuthal symmetry, the results are expressed as double series over the radial mode numbermore » n, and the longitudinal mode number p. For a beam traveling with light-velocity, these series have been summed analytically. However, the results are restricted to observation times before reflections from the cylindrical side-wall reach the axis, i.e., they are actually valid only for a parallel-plate geometry. In order to find the wakefields in cylindrical cavities of finite radius we have to re-examine the infinite series. Although no closed-form expression could be found for the sidewall reflections, they can be determined from a function defined by a single infinite sum with only one variable. Extension to modes with azimuthal variation is straightforward. However, extension to beam velocities smaller than light-velocity is more complicated and again would require the use of functions defined by infinite series. The influence of finite holes in the end-walls has not been investigated in this report, since no analytic solutions are known for this case. However, the character of the solutions for the closed cavity should help in understanding the numerical results obtained for this case. 7 refs., 7 figs.« less
  • A brief literature survey and experimental program was conducted to demonstrate the feasibility of utilizing a lined-cavity explosive destruct charge (shaped charge) concept for the airborne Small Nuclear Auxiliary Power (SNAP) reactor. Linear shaped-charge penetration tests were conducted against 1-in.- thick steel witness plate to optimize the charge configuration. A circular (continuous ring) shaped charge was then constructed and tested against a reactor mockup vessel. Satisfactory demonstration of the ring charge concept was achieved. The optimum charge configuration contained a linear explosive loading of 0.5 lb/ft. (auth)
  • A graphite-lined cavity is built at the outer end of the thermal column of the MIT Reactor. Seven variations of the material and geometrical arrangement of the cavity are made. The neutron flux is measured on the top surface and in the top wall of each variation and also on all surfaces and in the cavity itself of one of the variations. Absolute flux, cadmium ratio, and albedo measurements are made. The experimental results demonstrated that the cavity suitably modifies the magnitude, distribution, and direction of the neutrons emerging from the thermal column. A theoretical model is developed to calculatemore » the magnitude and distribution of the neutron flux on the surfaces of a cavity. The values of the view factors and the albedos, that are necessary to calculate the flux in the cavities, are obtained from computer programs. The values of the flux are also calculated by using an electronic computer. The calculated values of the flux are in excellent agreement with the measured values, and it is felt that the use of the theoretical model is justified. (auth)« less
  • Studies were made on the diffraction of a pressure wave in an elastic medium by a cylindrical cavity with an elastic liner. The elastic properties of the shell are different irom those of the surrounding medium. The response of the shell due to the diffraction of the incoming pressure wave was previously evaluated. A parameteric study was made of the influence of both the elastic properties of the medium and the steel shell stiffness on the intensity of the hoop stresses. It is shown that the use of a stiff shell in a soft medium produces a reduction in themore » hoop stress which has practical significance. The results can be used for design purposes for underground cavities located in competent rock subjected to air induced ground shock in the superseismic region of nuclear explosions. (auth)« less