Phys. Rev. B 64, 054411 (2001) [13 pages]Theory of a magnetic microscope with nanometer resolutionReceived 26 September 2000; revised 18 December 2000; published 5 July 2001 We propose a theory for a type of apertureless scanning near-field microscopy that is intended to allow the measurement of magnetism on a nanometer length scale. A scanning probe, for example a scanning tunneling microscope (STM) tip, is used to scan a magnetic substrate while a laser is focused on it. The electric field between the tip and substrate is enhanced in such a way that the circular polarization due to the Kerr effect, which is normally of order 0.1%, is increased by up to two orders of magnitude for the case of a Ag or W tip and an Fe sample. Apart from this there is a large background of circular polarization which is nonmagnetic in origin. This circular polarization is produced by light scattered from the STM tip and substrate. A detailed retarded calculation for this light-in-light-out experiment is presented. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.64.054411
DOI:
10.1103/PhysRevB.64.054411
PACS:
78.20.Ls
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