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References

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  1. Herbert E. Ives and G. R. Stilwell, J. Opt. Soc. Am. 31, 14 (1941).
    [Crossref]
  2. Encyclopedia Britannica, ninth and tenth editions, article, “Radiation.” International Congress of Mathematics, Cambridge (1912), p. 208.
  3. E. Edser, Phil. Mag. 28, 508 (1914).
    [Crossref]
  4. J. Larmor, Phil. Mag. 28, 702 (1914).
    [Crossref]
  5. M. Abraham, Theorie der Elektricitat (Leipzig, Teubner, 1905), p. 335–6.
  6. H. A. Lorentz, The Theory of Electrons (New York, Stechert, 1923), p. 62. “As to the amplitude, it is changed in exactly the same ratio as the frequency, so that the reflected intensity is diminished by a motion in one direction and increased by a motion in the other direction.”

1941 (1)

1914 (2)

E. Edser, Phil. Mag. 28, 508 (1914).
[Crossref]

J. Larmor, Phil. Mag. 28, 702 (1914).
[Crossref]

Abraham, M.

M. Abraham, Theorie der Elektricitat (Leipzig, Teubner, 1905), p. 335–6.

Edser, E.

E. Edser, Phil. Mag. 28, 508 (1914).
[Crossref]

Ives, Herbert E.

Larmor, J.

J. Larmor, Phil. Mag. 28, 702 (1914).
[Crossref]

Lorentz, H. A.

H. A. Lorentz, The Theory of Electrons (New York, Stechert, 1923), p. 62. “As to the amplitude, it is changed in exactly the same ratio as the frequency, so that the reflected intensity is diminished by a motion in one direction and increased by a motion in the other direction.”

Stilwell, G. R.

J. Opt. Soc. Am. (1)

Phil. Mag. (2)

E. Edser, Phil. Mag. 28, 508 (1914).
[Crossref]

J. Larmor, Phil. Mag. 28, 702 (1914).
[Crossref]

Other (3)

M. Abraham, Theorie der Elektricitat (Leipzig, Teubner, 1905), p. 335–6.

H. A. Lorentz, The Theory of Electrons (New York, Stechert, 1923), p. 62. “As to the amplitude, it is changed in exactly the same ratio as the frequency, so that the reflected intensity is diminished by a motion in one direction and increased by a motion in the other direction.”

Encyclopedia Britannica, ninth and tenth editions, article, “Radiation.” International Congress of Mathematics, Cambridge (1912), p. 208.

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Figures (13)

F. 1
F. 1

Apparatus used for photographing profiles of waves on mercury surface. Letters indicate features differing from apparatus as used in previous investigation.

F. 2
F. 2

Stroboscopic photographs of wave profile fore and aft of single jet: (a) medium stationary; (b) medium moving to right.

F. 3
F. 3

Amplitudes fore and aft of single jet: (a) medium stationary; (b) medium moving to right.

F. 4
F. 4

Attenuation of waves from a single jet. Abscissae, distances from jet; ordinates, amplitudes.

F. 5
F. 5

Standing waves between two jets: (a) medium stationary; (b) medium moving to left.

F. 6
F. 6

Diagrammatic analysis of formation of standing waves between two sources: (a) medium stationary; (b) medium moving to left.

F. 7
F. 7

Derivation of distances between standing waves in a moving medium.

F. 8
F. 8

“Mirror” used for study of standing waves by reflection.

F. 9
F. 9

Photograph of jet, “mirror,” and optical system.

F. 10
F. 10

Profile of standing waves formed by mirror.

F. 11
F. 11

Standing waves from a mirror: (a) medium stationary; (b) medium moving.

F. 12
F. 12

Graphical representation of reflection of waves from moving mirror.

F. 13
F. 13

Derivation of position of virtual source of waves leaving surface of moving mirror.

Equations (18)

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x = j / d ,
a = J / d ( 1 ± υ / c ) .
d / τ 1 = c + υ d / τ 2 = c υ
( τ 1 + τ 2 ) / d = τ / d = 1 / ( c + υ ) + 1 / ( c υ )
d = τ c 2 ( 1 υ 2 c 2 ) = λ s 2 ( 1 υ 2 c 2 ) ,
( 1 υ 2 / c 2 ) 1 2
D 2 = ( R 2 2 r 2 ) 1 2 ,
R 2 = D 2 + n λ ( 1 + υ / c ) ,
( m λ ) 2 ( D + m λ υ / c ) 2 = r 2 ,
R 1 = D 1 + n λ ( 1 υ / c ) R 2 = D 2 + n λ ( 1 + υ / c )
R 1 2 = D 1 2 + r 2 R 2 2 = D 2 2 + r 2 .
D 2 = D 1 ( 1 υ / c ) 2 n λ υ / c ( 1 + υ / c ) .
D 2 = D 1 ( 1 υ / c ) ( 1 + υ / c ) .
D 2 1 = D 1 1 ( 1 υ / c ) 2 ( n + 1 ) λ υ / c ( 1 + υ / c )
D 2 1 D 2 = ( D 1 1 D 1 ) ( 1 υ / c ) 2 λ υ / c 1 + υ / c .
D 1 = D + m λ υ / c D 1 1 = D + ( m + 1 ) λ υ / c ,
D 1 1 D 1 = λ υ / c ,
D 2 1 D 2 = λ υ c [ 1 υ / c 2 ] 1 + υ / c = λ υ c .