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2009035715

Hanyang University

Aberration and Doppler Effect

- in Special Relativity -

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Index

Relativistic Aberration

Relativistic Dopplers Effect

Comparison with Classical Case

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Relativistic Aberration

Observer

(Event)

O O

v

Light propagation wave

Source

S-Frame (x,y,z,t)S-Frame (x,y,z,t)

cc

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Relativistic Aberration

Note. Lorentz Maxwell . , .

f(x-vt)+g(x+vt).

Lorentz .

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Relativistic Aberration

Red boxx,y,t.

(a)

(c) .

(a)

(b)

(c)

+

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Relativistic Dopplers Effect

Einstein: .

(c)

. .

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Comparison with Classical Case

Doppler Effect (Gallilei )

(Event)

O O

v

Flash!

(t=0)

S-Frame (x,y,z,t)S-Frame (x,y,z,t)

=

(t=T : period)

vT

Flash!

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Comparison with Classical Case

.

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Relativity and Elementary Particles Imaginary Relativity Mehran Razaei(Esfahan AZAD Univ.)