Abstract

A focal-length-to-aperture ratio (F/D) for the illuminating laser beam in a scattering experiment where the scattered light is collected at right angles to the laser beam has been determined. This ratio allows a maximum amount of scattered light to be collected and depends on illuminating wave number ν = 1/λ, spectrograph slit height h and width w, and collecting-optics magnification M. M should be as large as practical. If (νh/14M)12 is less than (1/7) (h/w), the value of F/D for maximum collected scattered flux is (νh/14M)12. If (νh/14M)12 is greater than (1/7) (h/w), the collected scattered flux is maximum and constant for F/D over the range (νh/14M)12 to νw/2M.

© 1969 Optical Society of America

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References

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  1. J. J. Barrett and N. I. Adams, J. Opt. Soc. Am. 58, 311 (1968).
    [Crossref]
  2. G. B. Benedek and K. Fritsch, Phys. Rev. 149, 647 (1966).
    [Crossref]
  3. See for example, J. Rud Nielsen, J. Opt. Soc. Am. 37, 494 (1947).
    [Crossref]
  4. M. Born and E. Wolf, Principles of Optics (Pergamon Press, Inc., London, 1965), 3rd ed., pp. 436–444.
  5. A. L. Buck, Proc. IEEE 55, 448 (1967).
    [Crossref]
  6. H. H. Claassen, H. Selig, and J. Shamir, Appl. Spec. 23, 8 (1969).
    [Crossref]

1969 (1)

H. H. Claassen, H. Selig, and J. Shamir, Appl. Spec. 23, 8 (1969).
[Crossref]

1968 (1)

1967 (1)

A. L. Buck, Proc. IEEE 55, 448 (1967).
[Crossref]

1966 (1)

G. B. Benedek and K. Fritsch, Phys. Rev. 149, 647 (1966).
[Crossref]

1947 (1)

Adams, N. I.

Barrett, J. J.

Benedek, G. B.

G. B. Benedek and K. Fritsch, Phys. Rev. 149, 647 (1966).
[Crossref]

Born, M.

M. Born and E. Wolf, Principles of Optics (Pergamon Press, Inc., London, 1965), 3rd ed., pp. 436–444.

Buck, A. L.

A. L. Buck, Proc. IEEE 55, 448 (1967).
[Crossref]

Claassen, H. H.

H. H. Claassen, H. Selig, and J. Shamir, Appl. Spec. 23, 8 (1969).
[Crossref]

Fritsch, K.

G. B. Benedek and K. Fritsch, Phys. Rev. 149, 647 (1966).
[Crossref]

Rud Nielsen, J.

Selig, H.

H. H. Claassen, H. Selig, and J. Shamir, Appl. Spec. 23, 8 (1969).
[Crossref]

Shamir, J.

H. H. Claassen, H. Selig, and J. Shamir, Appl. Spec. 23, 8 (1969).
[Crossref]

Wolf, E.

M. Born and E. Wolf, Principles of Optics (Pergamon Press, Inc., London, 1965), 3rd ed., pp. 436–444.

Appl. Spec. (1)

H. H. Claassen, H. Selig, and J. Shamir, Appl. Spec. 23, 8 (1969).
[Crossref]

J. Opt. Soc. Am. (2)

Phys. Rev. (1)

G. B. Benedek and K. Fritsch, Phys. Rev. 149, 647 (1966).
[Crossref]

Proc. IEEE (1)

A. L. Buck, Proc. IEEE 55, 448 (1967).
[Crossref]

Other (1)

M. Born and E. Wolf, Principles of Optics (Pergamon Press, Inc., London, 1965), 3rd ed., pp. 436–444.

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Figures (2)

F. 1
F. 1

Scattered photons collected (relative scale) vs focal-length-to-aperture ratio (F/D) of illuminating beam, narrow-slit case; w = 50 μ, h = 1 cm, M = 6, and ν = 20 490 cm−1.

F. 2
F. 2

Scattered photons collected (relative scale) vs focal-length-to-aperture ratio (F/D) of illuminating beam, wide-slit case; w = 500 μ, h = 1 cm, M = 6, and ν = 20 490 cm−1.

Equations (9)

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q = ( d σ / d Ω ) 1 4 p ν 2 D 2 ( D / F ) 2 n V Ω ( D / F ) 2 V Ω ,
( 1 ) d < w , l < h , ( 2 ) w < d , l < h , ( 3 ) w < d , h < l .
( F / D ) = ν w / 2 M .
( F / D ) = ( ν h / 14 M ) 1 2 = ( F / D ) opt .
q ( F / D , M ) ( D / F ) M w h Ω / ν
( F / D ) opt = ( ν h / 14 M ) 1 2 .
( 1 ) d < w , l < h , ( 2 ) d < w , h < l , ( 3 ) w < d , h < l ,
( ν h / 14 M ) 1 2 ( F / D ) opt ν w / 2 M .
( ν h / 14 M ) 1 2 ( F / D ) ν w / 2 M .