Sharing a Common Origin Between the Rotational and Linear Doppler Effects

  title={Sharing a Common Origin Between the Rotational and Linear Doppler Effects},
  author={Liang Fang and Miles J. Padgett and Jian Wang},
  journal={Laser \& Photonics Reviews},
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… 
Influence of lateral misalignment on the optical rotational Doppler effect.
This paper investigates the influence of lateral misalignment, i.e., the distance between the beam axis of a probe light and the rotationaxis of a spinning object, on the rotational Doppler effect and deduces the generalized formula of rotational doppler shift based on a local scattering model.
The radial Doppler effect of optical vortex beams induced by a surface with radially moving periodic structure
Recent studies have highlighted that the rotational Doppler effect arises from rotational motion and optical orbital angular momentum (OAM), which has potential to detect rotating objects. Here, we
Theoretical research on rotating doppler effect based on fringe model
The fringe model can directly explain the principle of dual beam differential Doppler effect. Superimposed state vortex light is a petal-like interference fringe superposed by positive and negative
Detection of spinning objects at oblique light incidence using the optical rotational Doppler effect.
The analytic results indicate that even if the rotational axis of the spinning object is oriented at a specific tilt angle relative to the light propagation direction, theRotational speed can still be extracted from an asymmetrically broadened Doppler signal.
Rotational Doppler Effect With Vortex Beams: Fundamental Mechanism and Technical Progress
Structured light beams such as optical vortices can carry the orbital angular momentum (OAM) with an unbounded quantum number. Recent years have witnessed a growing interest in the rotational Doppler
Detection of angular acceleration based on optical rotational Doppler effect.
A time-frequency analysis method is proposed to study the evolution of the angular velocity in time and the experimental results of different angular accelerations of the rotator are consistent with expectations.
Vectorial Doppler metrology
This work conducts a proof of principle experiment and successfully measure the rotational velocity (magnitude and direction) of a moving isotropic particle and opens the path to vectorial Doppler metrology for detection of universal motion vectors with vectorially structured light.
Rotational Doppler shift upon reflection from a right angle prism
This Letter reports the observation of a rotational Doppler shift on reflected beams carrying Orbital Angular Momentum (OAM). More precisely, we study the beat frequency of two optical beams carrying
Rotational Doppler effect detection by LG beams with a nonzero radial index.
This study theoretically analyzed the reason of intensity enhancement of a nonzero radial index LG beam and verified the conclusion in a variable control experiment, providing a new aspect of LG beams that can be considered in rotational speed detection based on RDE.


Rotational Doppler effect in nonlinear optics
The change in pitch of a passing car engine is a classic example of the translational Doppler effect, but rotational Doppler shifts can also arise, as shown for circularly polarized light passing
Observation of the rotational Doppler shift of a white-light, orbital-angular-momentum-carrying beam backscattered from a rotating body
We observe the rotational Doppler shift of an orbital angular momentum (OAM)-carrying white-light beam after it is backscattered from a rotating object. Unlike the well known linear shift, this
Detection of a Spinning Object Using Light’s Orbital Angular Momentum
Using twisted light, Lavery et al. detected rotation with an analogous angular Doppler shift, which may be useful for remote sensing and observational astronomy, and the multiplicative enhancement of the frequency shift may have applications for the remote detection of rotating bodies in both terrestrial and astronomical settings.
Rotational Frequency Shift
The notion of the rotational frequency shift, an analog of the Doppler shift, is introduced. This new frequency shift occurs for atomic systems that lack rotational invariance, but have stationary
Measurement of the Rotational Frequency Shift Imparted to a Rotating Light Beam Possessing Orbital Angular Momentum
h per photon, when the beam is rotated at angular frequency V. We show that this shift, and those found in a number of experiments on the rotation of circularly polarized beams, are special cases of
Spinning the Doppler Effect
It is demonstrated that a spinning object with an optically rough surface may induce a Doppler effect in light reflected parallel to the rotation axis, provided that the light carries orbital angular momentum (OAM).
Measuring the translational and rotational velocities of particles in helical motion using structured light.
The rotational and translational velocity components of particles moving in helical motion under a Laguerre-Gaussian mode illumination are measured and can be used to characterize the motility of microorganisms with a full three-dimensional movement.
Experimental detection of transverse particle movement with structured light
A novel way to detect transverse velocities is experimentally demonstrated using structured light beams, which are unique in the sense that their phases can be engineered such that each point in its transverse plane has an associated phase value.
Rotational frequency shift of a light beam
We explain the rotational frequency shift of a light beam in classical terms and measure it using a mm-wave source. The shift is equal to the total angular momentum per photon multiplied by the