Development of knife-edge ridges on ion-bombarded surfaces

Miranda Holmes-Cerfon; Wei Zhou; Andrea L. Bertozzi; Michael P. Brenner; Michael J. Aziz

doi:10.1063/1.4755838

Development of knife-edge ridges on ion-bombarded surfaces

Miranda Holmes-Cerfon, Wei Zhou, Andrea L. Bertozzi, Michael P. Brenner, Michael J. Aziz

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We demonstrate in both laboratory and numerical experiments that ion bombardment of a modestly sloped surface can create knife-edge like ridges with extremely high slopes. Small pre-fabricated pits expand under ion bombardment, and the collision of two such pits creates knife-edge ridges. Both laboratory and numerical experiments show that the pit propagation speed and the precise shape of the knife edge ridges are universal, independent of initial conditions, as has been predicted theoretically. These observations suggest a method of fabrication in which a surface is pre-patterned so that it dynamically evolves to a desired target pattern made of knife-edge ridges.

Original language	English (US)
Article number	143109
Journal	Applied Physics Letters
Volume	101
Issue number	14
DOIs	https://doi.org/10.1063/1.4755838
State	Published - Oct 1 2012

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1063/1.4755838

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@article{e276aab7d2064cc38beec59b288c1e5e,

title = "Development of knife-edge ridges on ion-bombarded surfaces",

abstract = "We demonstrate in both laboratory and numerical experiments that ion bombardment of a modestly sloped surface can create knife-edge like ridges with extremely high slopes. Small pre-fabricated pits expand under ion bombardment, and the collision of two such pits creates knife-edge ridges. Both laboratory and numerical experiments show that the pit propagation speed and the precise shape of the knife edge ridges are universal, independent of initial conditions, as has been predicted theoretically. These observations suggest a method of fabrication in which a surface is pre-patterned so that it dynamically evolves to a desired target pattern made of knife-edge ridges.",

author = "Miranda Holmes-Cerfon and Wei Zhou and Bertozzi, {Andrea L.} and Brenner, {Michael P.} and Aziz, {Michael J.}",

note = "Funding Information: The research of W.Z. was supported by Grant No. RG79/98 provided by Nanyang Technological University. The research of M.J.A. was supported by DOE Grant No. DE-FG-02-06ER46335. M.P.B. and M.H.C. were funded by the National Science Foundation through the Harvard Materials Research Science and Engineering Center (DMR-0820484), the Division of Mathematical Sciences (DMS-0907985), and the Kavli Institute for Bionano Science and Technology at Harvard University. A.B. and M.H.C. were supported by NSF Grant No. DMS-1048840 and UC Lab Fees Research Grant No. 09-LR-04-116741-BERA",

year = "2012",

month = oct,

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doi = "10.1063/1.4755838",

language = "English (US)",

volume = "101",

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T1 - Development of knife-edge ridges on ion-bombarded surfaces

AU - Holmes-Cerfon, Miranda

AU - Zhou, Wei

AU - Bertozzi, Andrea L.

AU - Brenner, Michael P.

AU - Aziz, Michael J.

N1 - Funding Information: The research of W.Z. was supported by Grant No. RG79/98 provided by Nanyang Technological University. The research of M.J.A. was supported by DOE Grant No. DE-FG-02-06ER46335. M.P.B. and M.H.C. were funded by the National Science Foundation through the Harvard Materials Research Science and Engineering Center (DMR-0820484), the Division of Mathematical Sciences (DMS-0907985), and the Kavli Institute for Bionano Science and Technology at Harvard University. A.B. and M.H.C. were supported by NSF Grant No. DMS-1048840 and UC Lab Fees Research Grant No. 09-LR-04-116741-BERA

PY - 2012/10/1

Y1 - 2012/10/1

N2 - We demonstrate in both laboratory and numerical experiments that ion bombardment of a modestly sloped surface can create knife-edge like ridges with extremely high slopes. Small pre-fabricated pits expand under ion bombardment, and the collision of two such pits creates knife-edge ridges. Both laboratory and numerical experiments show that the pit propagation speed and the precise shape of the knife edge ridges are universal, independent of initial conditions, as has been predicted theoretically. These observations suggest a method of fabrication in which a surface is pre-patterned so that it dynamically evolves to a desired target pattern made of knife-edge ridges.

AB - We demonstrate in both laboratory and numerical experiments that ion bombardment of a modestly sloped surface can create knife-edge like ridges with extremely high slopes. Small pre-fabricated pits expand under ion bombardment, and the collision of two such pits creates knife-edge ridges. Both laboratory and numerical experiments show that the pit propagation speed and the precise shape of the knife edge ridges are universal, independent of initial conditions, as has been predicted theoretically. These observations suggest a method of fabrication in which a surface is pre-patterned so that it dynamically evolves to a desired target pattern made of knife-edge ridges.

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IS - 14

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ER -

Development of knife-edge ridges on ion-bombarded surfaces

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