Generalized shifts and weak values for polarization components of reflected light beams

Abstract

The simple reflection of a light beam of finite transverse extent from a homogenous interface gives rise to a surprisingly large number of subtle shifts and deflections which can be seen as diffractive corrections to the laws of geometrical optics [Goos-Hänchen shifts] and manifestations of optical spin-orbit coupling [Imbert-Fedorov shifts], related to the spin Hall effect of light. We develop a unified linear algebra approach to dielectric reflection which allows for a simple calculation of all of these effects and lends itself to an interpretation of beam shifts as weak values in a classical analogue to a quantum weak measurement. We present a systematic study of the shifts for the whole beam and its polarization components, finding symmetries between input and output polarizations and predicting the existence of material independent shifts.

arXiv comment21 pages, 4 figures. IoP style

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• Broadening the scope of weak quantum measurements II: Past and future measurement effects within a double Mach-Zehnder-interferometer setting
• Broadening the scope of weak quantum measurements I: A single particle accurately measured yet left superposed
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• Eigenpolarizations for Giant Transverse Optical Beam Shifts
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• Limits to superweak amplification of beam shifts
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• Spatial Coherence and Optical Beam Shifts
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• Are Fresnel filtering and the angular Goos-Hänchen shift the same?
• Axial dependence of optical weak measurements in the critical region
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• Spin-Orbit Interactions of Light: Fundamentals and Emergent Applications
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