Can information be transferred faster than light. II. The relativistic Doppler effect on electromagnetic wave packets with suboptic and superoptic group velocities

Journal Article · Wed Jun 01 00:00:00 EDT 1988 · Found. Phys.; (United States)

DOI:https://doi.org/10.1007/BF00734565· OSTI ID:6440159

Band, W

It is shown that (a) both the dispersion relations between the mean frequency omega/sub 0/ and the mean wave number k/sub 0/ are invariant under the Lorentz transformation; and (b) the relativistic Doppler effects on omega/sub 0/ and k/sub 0/ differ. In the suboptic packet there is anomalous red shift in the mean wave number k/sub 0/' received from a source receding with speed v:k/sub 0/' changes sign through zero as v goes through the value v/sub g/, the mean group velocity in the packet. In the superoptic packet the anomalous red shift is in the mean frequency omega/sub 0/' which reverses sign through zero as v goes through the value v/sub p/, the mean phase velocity in the packet. This last finding indicates a blackout of the superoptic signal when propagated toward a receiver moving away from the source at a speed greater than v/sub p/. There is no violation of causality involved, and the final conclusion of the paper is that it is not a fundamental axiom of special relativity, as usually believed, to deny that information can be transmitted at speeds greater than c.

• Research Organization: Washington State Univ., Pullman (USA)
• OSTI ID: 6440159
• Journal Information: Found. Phys.; (United States), Vol. 18:6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DATA TRANSMISSION
RELATIVITY THEORY
ELECTROMAGNETIC RADIATION
PHASE VELOCITY
WAVE PACKETS
DOPPLER EFFECT
DISPERSION RELATIONS
FIBER OPTICS
GAUSS FUNCTION
INFORMATION THEORY
LORENTZ INVARIANCE
MINKOWSKI SPACE
MONOCHROMATIC RADIATION
RED SHIFT
WAVE EQUATIONS
WAVE PROPAGATION
COMMUNICATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
FUNCTIONS
GENERAL RELATIVITY THEORY
INVARIANCE PRINCIPLES
MATHEMATICAL SPACE
PARTIAL DIFFERENTIAL EQUATIONS
RADIATIONS
SPACE
VELOCITY
657003* - Theoretical & Mathematical Physics- Relativity & Gravitation