Calculated and measured relative intensities for three orders appearing simultaneously in the spectrum of an echelette grating at λ 4.211 mm are obtained in both polarizations. Agreement with a calculation based on the Kirchhoff formula is found only for radiation plane polarized with E perpendicular to the grooves. An echelette grating is shown to be a polarizing agent.

© 1958 Optical Society of America

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  1. R. D. Hatcher and J. H. Rohrbaugh, J. Opt. Soc. Am. 46, 104 (1956), hereafter referred to as I.
  2. J. H. Rohrbaugh and R. D. Hatcher, J. Opt. Soc. Am. 48, 704 (1958), hereafter referred to as II.
  3. J. H. Greig and W. F. C. Ferguson, J. Opt. Soc. Am. 40, 504 (1950).
  4. Brooks, Greig, Pine, Zoellner, and Rohrbaugh, J. Opt. Soc. Am. 43, 1191 (1953).

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Figures (2)

Fig. 1
Fig. 1

Spectrometer as modified.

Fig. 2
Fig. 2

Cross section of one facet specifying the parameters for (1). c′=tanψ′ (a positive number), ψ′ being 8° for these experiments. One groove face being in shadow, u is the projection on the y axis of a point p determined by a ray grazing the corner at O and reaching the active groove face at p.

Tables (1)

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Table I Relative intensities calculated from (1) and measured for both polarizations for an echelette grating. λ=0.4211 cm, a=1.0160 cm, groove angle=8.0°, angle of incidence=24.5°, 18 grooves, slit width 0.62°. The −2 and −3 orders could not be observed of apparatus geometry. One set of groove faces not illuminated. Grating material, Alcoa tool and jig plate. The data in each column has been normalized to 100%.

Equations (1)

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[ sin 2 n ( π a μ / λ ) sin 2 ( π a μ / λ ) ] [ ( ρ - μ c ) 2 ( μ + c ρ ) 2 sin 2 π ( a - u ) ( μ + c ρ ) λ ] ,