Abstract

In order to understand the performance of photonic band-gap (PBG) structures under realistic high gradient, high power, high repetition rate operation, a PBG accelerator structure was designed and tested at $X$ band (11.424 GHz). The structure consisted of a single test cell with matching cells before and after the structure. The design followed principles previously established in testing a series of conventional pillbox structures. The PBG structure was tested at an accelerating gradient of $65\text{ }\text{ }\mathrm{MV}/\mathrm{m}$ yielding a breakdown rate of two breakdowns per hour at 60 Hz. An accelerating gradient above $110\text{ }\text{ }\mathrm{MV}/\mathrm{m}$ was demonstrated at a higher breakdown rate. Significant pulsed heating occurred on the surface of the inner rods of the PBG structure, with a temperature rise of 85 K estimated when operating in 100 ns pulses at a gradient of $100\text{ }\text{ }\mathrm{MV}/\mathrm{m}$ and a surface magnetic field of $890\text{ }\text{ }\mathrm{kA}/\mathrm{m}$. A temperature rise of up to 250 K was estimated for some shots. The iris surfaces, the location of peak electric field, surprisingly had no damage, but the inner rods, the location of the peak magnetic fields and a large temperature rise, had significant damage. Breakdown in accelerator structures is generally understood in terms of electric field effects. These PBG structure results highlight the unexpected role of magnetic fields in breakdown. The hypothesis is presented that the moderate level electric field on the inner rods, about $14\text{ }\text{ }\mathrm{MV}/\mathrm{m}$, is enhanced at small tips and projections caused by pulsed heating, leading to breakdown. Future PBG structures should be built to minimize pulsed surface heating and temperature rise.

Highlights

  • Photonic crystals or photonic band-gap (PBG) structures provide a groundbreaking starting point for advanced accelerator structure design

  • In application to accelerator structures, PBG structures have the ability to confine modes in a frequency band of interest, and damp modes of higher frequencies. This allows PBG structures to be fabricated as a novel accelerator concept incorporating simultaneous damping of all higher order modes (HOMs)

  • Though larger rods mean an improvement in the peak surface magnetic field in the structure, which will mean lower pulsed heating, larger rods confine PBG modes better

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Summary

INTRODUCTION

Photonic crystals or photonic band-gap (PBG) structures provide a groundbreaking starting point for advanced accelerator structure design. In application to accelerator structures, PBG structures have the ability to confine modes in a frequency band of interest, and damp modes of higher (or lower) frequencies. SLAC has conducted extensive tests of conventional, pillbox structures at 11.424 GHz. The single PBG test cell was designed to create the highest electric and magnetic field in the test cell. The requirement to operate at a specific frequency (11.424 GHz) reduces the design to one free parameter, which is taken as the ratio of rod radius to lattice spacing ( = ). PBG accelerator structures have been tested at an = ratio of 0.15, and successfully confined a TM01 mode [4,5,6]. The iris geometry of the PBG structure, which is designated 1C-SW-A5.65-T4.6-PBGCu, was made identical to that of 1C-SW-A5.65-T4.6-Cu, so that the PBG cell impact on structure performance could be isolated

PBG accelerator structure
Design results
PBG simulations
Pillbox simulations
Temperature rise calculation
Fabrication
COLD TEST
Bead pull measurements
Design
EXPERIMENTAL SETUP
DATA ANALYSIS
EXPERIMENTAL RESULTS
VIII. DISCUSSION
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