Doppler Effect and Other Causes of Frequency Shift| Doppler Effect and Other Causes of Frequency Shift |
Doppler Effect / Shift in General > s.a. sound;
wave phenomena; Doppler Lensing.
* Idea: The change in
frequency of a wave when the source is moving with respect to the observer.
* Redshift: Can be used
as a quantitative measure of frequency/wavelength shift; It is defined as
the quantity z:=
(λ2 −
λ1)
/ λ1
= ω1
/ ω2 − 1.
@ General references:
Seddon & Bearpark Sci(03)nov [inverse effect];
Barreiro et al PRL(06)qp [rotational, from light angular momentum];
Drake & Purvis AJP(14)jan [from the postulates of relativity];
Lewis AusP-a1605 [unified view];
Nolte PT(20)mar [history].
@ Experiments: Bernal & Bilbao AJP(07)mar [optical, using rotating mirrors];
Friedman a0912 [test, accelerated source];
Giuliani EJP(13),
EJP(14) [in rotating systems].
> Online resources:
see Wikipedia page.
Relativistic Doppler Shift
* Longitudinal: For source
and observer moving at speed v with respect to each other,
T ' = (1−β2)1/2 T .
* Transversal: The
period changes according to T ' = γ T.
* In general: The
period and wavelength change according to
T ' = (1+βcosθ) / (1−β2) T , λ = [(1+βcosθ) / (1−β2)1/2] λ0 .
@ General references:
Bertotti GRG(98),
MPLA(98) [moving medium];
Mashhoon PLA(02)gq [helicity-rotation effect];
Ruggiero et al IJMPD(06)gq [and light bending in general relativity];
Giuliani EJP(15)-a1502 [for photons, theory and experiment].
@ Special cases and applications:
Carrera & Giulini CQG(06)gq [spacecraft tracking, in FLRW spacetime];
Radosz et al PLA(09)-a0901 [Schwarzschild spacetime, factorization
into relativistic, kinematical and gravitational contributions];
Bunney & Gradoni a1912 [in curved spacetime, coupling with gravitational redshift];
> s.a. Mössbauer Rotor Experiment.
Cosmological Redhift > s.a. cosmological expansion and
acceleration, gravity tests [redshift
surveys] and models [interpretation].
* Idea:
Due to the expansion of the universe; For z = 1 the fractional
lookback time is about 65%; 2009, The highest cosmological redshift for a single
object is z = 8.26 ± 0.08 for a gamma-ray burst detected by the
Swift orbiter; The cosmic microwave background has z ≈ 1100.
@ General references:
Oliveira & Hartnett FPL(06) [and time];
Kaiser MNRAS(13)-a1303 [effects for galaxies in clusters];
Hasse & Perlick a1904 [in Finsler spacetimes].
@ Interpretation:
Bedran AJP(02)apr [vs Doppler shift];
Braeck & Elgarøy GRG(12)-a1206;
Li CQG(14) [as Doppler shift].
@ For specific metrics: Nwankwo et al JCAP(11) [Szekeres inhomogeneous cosmological models];
> s.a. acceleration of the cosmological expansion.
@ Measurement:
Messenger et al PRX(14)
[from gravitational-wave signatures of merging neutron stars];
Ferreras & Trujillo ApJ(16)-a1605 [bounds on wavelength dependence of the redshift];
Calcino & Davis JCAP(17)-a1610 [redshift shifts as probes of local inhomogeneities].
Related Topics > see gravitational redshift; Thought Experiments.
main page
– abbreviations
– journals – comments
– other sites – acknowledgements
send feedback and suggestions to bombelli at olemiss.edu – modified 27 apr 2021