Abstract

The effects of various types of imperfections on the transmission characteristics of a Fabry-Perot interferometer have been investigated experimentally. It was found that for light from a laser source, incident normally on an interferometer whose plates have a reflectivity in the neighborhood of 90%, angular misalignments as small as λ/25 could seriously degrade the peak value and half-width of the transmission curve. When an electrooptic crystal was added to make the interferometer function as a modulator, a further deterioration of performance was observed. The results were compared with theoretically derived transmission functions and found to be in satisfactory agreement.

© 1965 Optical Society of America

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References

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  1. K. W. Meissner, J. Opt. Soc. Am. 39, 797 (1949);J. Opt. Soc. Am. 42, 12 (1952).
    [CrossRef]
  2. C. Dufour, R. Picca, Rev. Opt. 24, 19 (1945).
  3. C. Chabbal, J. Phys. Radium 19, 295 (1958).
    [CrossRef]
  4. Baird-Atomic Inc., Tech Doc. Rept No. ASD-TDR-63-604 Contract AF 33(657)-9209, Wright-Patterson Air Force Base, Ohio, Sept.1963, ASTIA No. AD 421-838.
  5. S. Tolansky, Multiple Beam Interferometry (Oxford Univ. Press, New York, 1948).
  6. S. R. Blom, V. N. Del Piano, NEREM Record, 68 (1964).
  7. R. Carpenter, J. Opt. Soc. Am. 40, 225 (1950).
    [CrossRef]

1964

S. R. Blom, V. N. Del Piano, NEREM Record, 68 (1964).

1958

C. Chabbal, J. Phys. Radium 19, 295 (1958).
[CrossRef]

1950

1949

1945

C. Dufour, R. Picca, Rev. Opt. 24, 19 (1945).

Blom, S. R.

S. R. Blom, V. N. Del Piano, NEREM Record, 68 (1964).

Carpenter, R.

Chabbal, C.

C. Chabbal, J. Phys. Radium 19, 295 (1958).
[CrossRef]

Del Piano, V. N.

S. R. Blom, V. N. Del Piano, NEREM Record, 68 (1964).

Dufour, C.

C. Dufour, R. Picca, Rev. Opt. 24, 19 (1945).

Meissner, K. W.

Picca, R.

C. Dufour, R. Picca, Rev. Opt. 24, 19 (1945).

Tolansky, S.

S. Tolansky, Multiple Beam Interferometry (Oxford Univ. Press, New York, 1948).

J. Opt. Soc. Am.

J. Phys. Radium

C. Chabbal, J. Phys. Radium 19, 295 (1958).
[CrossRef]

NEREM Record

S. R. Blom, V. N. Del Piano, NEREM Record, 68 (1964).

Rev. Opt.

C. Dufour, R. Picca, Rev. Opt. 24, 19 (1945).

Other

Baird-Atomic Inc., Tech Doc. Rept No. ASD-TDR-63-604 Contract AF 33(657)-9209, Wright-Patterson Air Force Base, Ohio, Sept.1963, ASTIA No. AD 421-838.

S. Tolansky, Multiple Beam Interferometry (Oxford Univ. Press, New York, 1948).

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Figures (10)

Fig. 1
Fig. 1

Examples of interferometer imperfections and associated probability densities.

Fig. 2
Fig. 2

Normalized transmission curves for various amounts of surface imperfections.

Fig. 3
Fig. 3

Peak transmission as function of reflectivity in the presence of surface imperfections.

Fig. 4
Fig. 4

Microtopograph of well-polished interferometer plate.

Fig. 5
Fig. 5

Microtopograph of interferometer plate with significant random irregularities.

Fig. 6
Fig. 6

Geometry to determine deviation parameter in misalignment experiments.

Fig. 7
Fig. 7

The mechanism for changing plate separation without destroying relative angular alignment.

Fig. 8
Fig. 8

The transmission functions for a pair of misaligned plates.

Fig. 9
Fig. 9

The transmission function for a pair of plates with dominant random irregularities.

Fig. 10
Fig. 10

The transmission function for a Fabry-Perot type modulator. Crystal thickness, 12.7 mm.

Equations (7)

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I I 0 = 1 1 + F sin 2 ( θ / 2 ) ,
I 0 = ( 1 a ) T 2 / [ 1 ( 1 a ) R ] 2 .
I I 0 = 1 Δ θ ( 1 + F ) ½ { arctan [ ( 1 + F ) ½ ] tan ½ ( θ + Δ θ ) ] arctan [ ( 1 + F ) ½ ] tan ½ ( θ Δ θ ) ] } ,
Δ θ = δ / λ = 3 σ λ
I I 0 = 1 R 1 + R { 1 + 2 k = 1 ( R ) k cos k θ exp ( k 2 4 γ 2 ) } ,
γ = 4 π 2 ( σ / λ )
δ = ( D 1 / D 2 ) ( λ / 4 ) .

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