Journal
LASER & PHOTONICS REVIEWS
Volume 11, Issue 6, Pages -Publisher
WILEY-V C H VERLAG GMBH
DOI: 10.1002/lpor.201700183
Keywords
light-matter interaction; linear Doppler effect; orbital angular momentum; rotational doppler effect; spiral phaseplate
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Funding
- National Natural Science Foundation of China (NSFC) [11774116, 61761130082, 11574001, 11274131]
- Royal Society-Newton Advanced Fellowship
- National Programm for Support of Top-notch Young Professionals
- National Basic Research Programm of China (973 Program) [2014CB340004]
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The well-known linear Doppler effect arises from the linear motion between source and observer, while the less well-known rotational Doppler effect arises from the rotational motion. Here, we present both theories and experiments illustrating the relationship between the rotational and linear Doppler effects. A spiral phaseplate is used to generate a light beam carrying orbital angular momentum and the frequency shift is measured arising from its rotational and/or linear motion. By considering either the motion-induced time-evolving phase or the momentum and energy conservation in light-matter interactions, we derive the rotational Doppler shift, linear Doppler shift, and overall Doppler shift associated with rotational and linear motions. We demonstrate the relationship between rotational and linear Doppler shifts, either of which can be derived from the other effect, thereby illustrating their shared origin. Moreover, the close relationship between rotational and linear Doppler effects is also deduced for a more general moving rough surface.
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