Abstract

We examine through numerical calculation the collision of counter-propagating trains of optically spaced electron or positron microbunches in a 1 TeV collider scenario for a dielectric laser accelerator. A time-dependent envelope equation is derived for arbitrary number of bunches in the classical limit, with inclusion of the radiation reaction force. Example parameters are examined based on a constrained luminosity relation that takes into account the bunch charge for optimal efficiency, material damage limits, and power constraints. We find that for initially identical counter-propagating Gaussian bunch trains, the periodic temporal structure leads to a peak in luminosity with number of bunches. For longer bunch trains, the enhancement then decreases inversely with number of bunches. The corresponding fractional energy loss of the beam is found to be of order 1.75%, which is reduced to 0.35% when the nonlinear radial dependence of the transverse force is included, with an average beamstrahlung parameter of 0.075, an important result considering that beamstrahlung losses are a critical concern for future TeV colliders.

Highlights

  • A future electron-positron linear collider is one of the primary proposed tools for experimental investigation of high-energy physics beyond the limits of the Large Hadron Collider (LHC)

  • The two main proposals for a generation electron or positron linear collider are the International Linear Collider (ILC) and the Compact Linear Collider at CERN (CLIC). Both approaches are based on well established rf technology, with the first (ILC) relying on superconducting microwave technology and the second (CLIC) on a normal-conducting two-beam acceleration scheme [1,2]

  • In the dielectric laser acceleration (DLA) scenario, the entire train of M microbunches cross together at the interaction point (IP), producing a total of M2 crossings per laser pulse, whereas in rf or plasma-based schemes, the bunches in each train are sufficiently far apart that only one pair of bunches interact at a given time

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Summary

INTRODUCTION

A future electron-positron linear collider is one of the primary proposed tools for experimental investigation of high-energy physics beyond the limits of the Large Hadron Collider (LHC). In the DLA scenario, the entire train of M microbunches cross together at the IP, producing a total of M2 crossings per laser pulse, whereas in rf or plasma-based schemes, the bunches in each train are sufficiently far apart that only one pair of bunches interact at a given time This difference in bunch format has significant implications for the beamloaded efficiency, luminosity, and energy loss dynamics. In the microbunch efficiency section, we derive the relation for the luminosity as a function of number of microbunches M corresponding to optimal beam-loading efficiency

MICROBUNCH EFFICIENCY
PARAMETER OPTIMIZATION
LUMINOSITY ENHANCEMENT
EQUATIONS OF MOTION—CONSTANT ENERGY
EQUATIONS OF MOTION WITH RRF
ENERGY LOSS
M hΥiji: ð42Þ
Findings
VIII. NUMERICAL RESULTS
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