Abstract

Modern electron beams have demonstrated the brilliance needed to drive free electron lasers at x-ray wavelengths with major advances occurring since the invention of the photocathode gun and the realization of emittance compensation. These state-of-the-art electron beams are now becoming limited by the intrinsic thermal emittance of the cathode. In both dc and rf photocathode guns details of the cathode emission physics strongly influence the quantum efficiency and the thermal emittance. Therefore improving cathode performance is essential to increasing the brightness of beams. It is especially important to understand the fundamentals of cathode quantum efficiency and thermal emittance. This paper investigates the relationship between the quantum efficiency and the thermal emittance for metal cathodes using the Fermi-Dirac model for the electron distribution. We use a consistent theory to derive the quantum efficiency and thermal emittance, and compare our results to those of others.

Highlights

  • In this paper we use the three-step photoemission model of Puff [1] and Spicer [2,3] to obtain expressions for the quantum efficiency and the uncorrelated or thermal emittance of metal cathodes

  • We developed analytic expressions for the quantum efficiency and thermal emittance based on the three-step model ignoring electron-electron scattering [4]

  • We derive the thermal emittance for photoelectric emission by applying the same Fermi-Dirac model as used to obtain the quantum efficiency and closely follows that performed for Cs2Te cathodes by Floettmann [11]

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Summary

INTRODUCTION

In this paper we use the three-step photoemission model of Puff [1] and Spicer [2,3] to obtain expressions for the quantum efficiency and the uncorrelated or thermal emittance of metal cathodes. In a previous publication [5], we calculated the QE using this approach using the work function as the only free parameter In this model, the electron is emitted by means of three sequentially independent processes: (1) absorption of the photon with energy @!, (2) migration, including e-e scattering, to the surface, and (3) escape for electrons with kinematics above the barrier. The quantum efficiency is obtained from Fermi-Dirac statistics for fermions This is followed by a derivation of the thermal or photoelectric emittance. In the last two sections, the relationship between the cathode emittance and the quantum efficiency is discussed for metallic emitters, and the results are compared with previously published work

QUANTUM EFFICIENCY AND THE FERMIDIRAC MODEL FOR METALS
À1 dðcosÞ dÈ
THE PHOTOELECTRIC EMITTANCE FOR METAL CATHODES
The boundary condition and the maximum angle of escape
Derivation of the photoelectric emittance for metals
THE RELATION BETWEEN EMITTANCE AND QUANTUM EFFICIENCY
COMPARISON WITH OTHER EMITTANCE CALCULATIONS
Findings
DISCUSSION AND SUMMARY

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