Theory and particle tracking simulations of a resonant radiofrequency deflection cavity in TM110 mode for ultrafast electron microscopy

J.F.M. van Rens, W. Verhoeven, J.G.H. Franssen, A. Lassise, X.F.D. Stragier, Erik R. Kieft, P.H.A. Mutsaers, O.J. Luiten

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Abstract

We present a theoretical description of resonant radiofrequency (RF) deflecting cavities in TM 110 mode as dynamic optical elements for ultrafast electron microscopy. We first derive the optical transfer matrix of an ideal pillbox cavity and use a Courant-Snyder formalism to calculate the 6D phase space propagation of a Gaussian electron distribution through the cavity. We derive closed, analytic expressions for the increase in transverse emittance and energy spread of the electron distribution. We demonstrate that for the special case of a beam focused in the center of the cavity, the low emittance and low energy spread of a high quality beam can be maintained, which allows high-repetition rate, ultrafast electron microscopy with 100 fs temporal resolution combined with the atomic resolution of a high-end TEM. This is confirmed by charged particle tracking simulations using a realistic cavity geometry, including fringe fields at the cavity entrance and exit apertures. ©
Original languageEnglish
Pages (from-to)77-89
Number of pages13
JournalUltramicroscopy
Volume184B
DOIs
Publication statusPublished - 1 Jan 2018

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Electron microscopy
deflection
electron microscopy
cavities
Beam quality
Electrons
Charged particles
Optical devices
simulation
electron distribution
Transmission electron microscopy
emittance
Geometry
temporal resolution
entrances
repetition
charged particles
apertures
formalism
transmission electron microscopy

Cite this

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title = "Theory and particle tracking simulations of a resonant radiofrequency deflection cavity in TM110 mode for ultrafast electron microscopy",
abstract = "We present a theoretical description of resonant radiofrequency (RF) deflecting cavities in TM 110 mode as dynamic optical elements for ultrafast electron microscopy. We first derive the optical transfer matrix of an ideal pillbox cavity and use a Courant-Snyder formalism to calculate the 6D phase space propagation of a Gaussian electron distribution through the cavity. We derive closed, analytic expressions for the increase in transverse emittance and energy spread of the electron distribution. We demonstrate that for the special case of a beam focused in the center of the cavity, the low emittance and low energy spread of a high quality beam can be maintained, which allows high-repetition rate, ultrafast electron microscopy with 100 fs temporal resolution combined with the atomic resolution of a high-end TEM. This is confirmed by charged particle tracking simulations using a realistic cavity geometry, including fringe fields at the cavity entrance and exit apertures. {\circledC}",
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Theory and particle tracking simulations of a resonant radiofrequency deflection cavity in TM110 mode for ultrafast electron microscopy. / van Rens, J.F.M.; Verhoeven, W.; Franssen, J.G.H.; Lassise, A.; Stragier, X.F.D.; Kieft, Erik R.; Mutsaers, P.H.A.; Luiten, O.J.

In: Ultramicroscopy, Vol. 184B, 01.01.2018, p. 77-89.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Theory and particle tracking simulations of a resonant radiofrequency deflection cavity in TM110 mode for ultrafast electron microscopy

AU - van Rens, J.F.M.

AU - Verhoeven, W.

AU - Franssen, J.G.H.

AU - Lassise, A.

AU - Stragier, X.F.D.

AU - Kieft, Erik R.

AU - Mutsaers, P.H.A.

AU - Luiten, O.J.

PY - 2018/1/1

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N2 - We present a theoretical description of resonant radiofrequency (RF) deflecting cavities in TM 110 mode as dynamic optical elements for ultrafast electron microscopy. We first derive the optical transfer matrix of an ideal pillbox cavity and use a Courant-Snyder formalism to calculate the 6D phase space propagation of a Gaussian electron distribution through the cavity. We derive closed, analytic expressions for the increase in transverse emittance and energy spread of the electron distribution. We demonstrate that for the special case of a beam focused in the center of the cavity, the low emittance and low energy spread of a high quality beam can be maintained, which allows high-repetition rate, ultrafast electron microscopy with 100 fs temporal resolution combined with the atomic resolution of a high-end TEM. This is confirmed by charged particle tracking simulations using a realistic cavity geometry, including fringe fields at the cavity entrance and exit apertures. ©

AB - We present a theoretical description of resonant radiofrequency (RF) deflecting cavities in TM 110 mode as dynamic optical elements for ultrafast electron microscopy. We first derive the optical transfer matrix of an ideal pillbox cavity and use a Courant-Snyder formalism to calculate the 6D phase space propagation of a Gaussian electron distribution through the cavity. We derive closed, analytic expressions for the increase in transverse emittance and energy spread of the electron distribution. We demonstrate that for the special case of a beam focused in the center of the cavity, the low emittance and low energy spread of a high quality beam can be maintained, which allows high-repetition rate, ultrafast electron microscopy with 100 fs temporal resolution combined with the atomic resolution of a high-end TEM. This is confirmed by charged particle tracking simulations using a realistic cavity geometry, including fringe fields at the cavity entrance and exit apertures. ©

U2 - 10.1016/j.ultramic.2017.10.004

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