Abstract

Recently a variety of array detectors have been used in the focal plane of Czerny-Turner plane-grating spectrometers. The output signals have been coupled to a variety of storage units, resulting in optical multi-channel analyzers (OMA). We present a clarification of the method for calculating the dispersion of this instrument, as well as a table of useful spectroscopic parameters for spectrometer–detector array combinations.

© 1981 Optical Society of America

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Errata

Leon J. Radziemski, "Calculation of dispersion for a plane grating in a Czerny-Turner mount: a comment; errata," Appl. Opt. 20, 2883-2883 (1981)
https://www.osapublishing.org/ao/abstract.cfm?uri=ao-20-17-2883

References

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  1. F. A. Jenkins, H. E. White, Fundamentals of Optics (McGraw-Hill, New York, 1976).
  2. R. W. Ditchburn, Light (Academic, New York, 1976).
  3. R. A. Sawyer, Experimental Spectroscopy (Dover, New York, 1963).
  4. J. Morgan, Introduction to Geometrical and Physical Optics (McGraw-Hill, New York, 1953).
  5. Ref. 1, p. 362.

Ditchburn, R. W.

R. W. Ditchburn, Light (Academic, New York, 1976).

Jenkins, F. A.

F. A. Jenkins, H. E. White, Fundamentals of Optics (McGraw-Hill, New York, 1976).

Morgan, J.

J. Morgan, Introduction to Geometrical and Physical Optics (McGraw-Hill, New York, 1953).

Sawyer, R. A.

R. A. Sawyer, Experimental Spectroscopy (Dover, New York, 1963).

White, H. E.

F. A. Jenkins, H. E. White, Fundamentals of Optics (McGraw-Hill, New York, 1976).

Other (5)

F. A. Jenkins, H. E. White, Fundamentals of Optics (McGraw-Hill, New York, 1976).

R. W. Ditchburn, Light (Academic, New York, 1976).

R. A. Sawyer, Experimental Spectroscopy (Dover, New York, 1963).

J. Morgan, Introduction to Geometrical and Physical Optics (McGraw-Hill, New York, 1953).

Ref. 1, p. 362.

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Figures (2)

Fig. 1
Fig. 1

Angular relationships for a Czerny-Turner plane-grating mount.

Fig. 2
Fig. 2

Sign conventions for angle of incidence and angle of diffraction.

Tables (1)

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Table I Spectroscopic Parameters for a Variety of Grating and Focal Length Combinations

Equations (15)

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m λ = d ( sin i + sin r ) ,
i = θ + ϕ ,
r = θ ϕ ,
m λ = 2 d sin θ cos ϕ .
m λ = d ( sin i + sin r )
d r d λ = f m d cos r , angular dispersion
d x d λ = d r d λ = f m d cos r , linear dispersion
d λ d x = 1 f d λ d r = d cos r f m . reciprocal linear dispersion
d = 8333 Å , d x d λ = 0.12 mm / Å , d r d λ = 1.2 × 10 4 / Å , d λ d x = 8.33 Å / mm .
d λ c d x
Å mm
μ m mm
Å mm
μ m mm
Å mm

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