Abstract

Simplified formulas for the intensity distribution among the orders of an echelette grating are derived from the Green’s function method, and compared with previous expressions. The application to special types of mounts and the possibility of using gratings as filters is discussed.

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  1. R. D. Hatcher and J. H. Rohrbaugh, J. Opt. Soc. Am. 46, 104 (1956), hereafter referred to as I; 48, 704 (1958), hereafter referred to as II; Rohrbaugh, Pine, Zoellner, and Hatcher, J. Opt. Soc. Am. 48, 710 (1958), hereafter referred to as III.
  2. P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill Book Company, Inc., New York, 1953), Vol. II, p. 1429.
  3. L. Zadoff, Ph.D. thesis, New York University (1957).
  4. W. C. Meecham, J. Appl. Phys. 27, 361 (1956), where references to other approaches may be found.
  5. W. C. Meecham and C. W. Peters, J. Appl. Phys. 28, 216 (1957).
  6. P. M. Morse and H. Feshabach, Methods of Theoretical Physics (McGraw-Hill Book Company, Inc., New York), p. 806, 1544.
  7. A similar change should be made in Eq. (9) of I which should read [equation] We thank Dr. Masao Seya for correspondence on this point. This equation arises from Eq. (5) above by considering the scalar product (b8n0) to be absent which can be done by having (Ψr08) equal 0 over the surface of the grating in Eq. (2). (It must also be remarked that Fig. 3 of I was not the intended figure, the meaning being sufficiently clear in our judgment to make it unnecessary to replace the figure here.)
  8. N. Finkelstein, J. Opt. Soc. Am. 41, 179 (1951).
  9. J. H. Greig and W. F. C. Ferguson, J. Opt. Soc. Am. 40, 504 (1950).

Ferguson, W. F. C.

J. H. Greig and W. F. C. Ferguson, J. Opt. Soc. Am. 40, 504 (1950).

Feshabach, H.

P. M. Morse and H. Feshabach, Methods of Theoretical Physics (McGraw-Hill Book Company, Inc., New York), p. 806, 1544.

Feshbach, H.

P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill Book Company, Inc., New York, 1953), Vol. II, p. 1429.

Finkelstein, N.

N. Finkelstein, J. Opt. Soc. Am. 41, 179 (1951).

Greig, J. H.

J. H. Greig and W. F. C. Ferguson, J. Opt. Soc. Am. 40, 504 (1950).

Hatcher, R. D.

R. D. Hatcher and J. H. Rohrbaugh, J. Opt. Soc. Am. 46, 104 (1956), hereafter referred to as I; 48, 704 (1958), hereafter referred to as II; Rohrbaugh, Pine, Zoellner, and Hatcher, J. Opt. Soc. Am. 48, 710 (1958), hereafter referred to as III.

Meecham, W. C.

W. C. Meecham and C. W. Peters, J. Appl. Phys. 28, 216 (1957).

W. C. Meecham, J. Appl. Phys. 27, 361 (1956), where references to other approaches may be found.

Morse, P. M.

P. M. Morse and H. Feshabach, Methods of Theoretical Physics (McGraw-Hill Book Company, Inc., New York), p. 806, 1544.

P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill Book Company, Inc., New York, 1953), Vol. II, p. 1429.

Peters, C. W.

W. C. Meecham and C. W. Peters, J. Appl. Phys. 28, 216 (1957).

Rohrbaugh, J. H.

R. D. Hatcher and J. H. Rohrbaugh, J. Opt. Soc. Am. 46, 104 (1956), hereafter referred to as I; 48, 704 (1958), hereafter referred to as II; Rohrbaugh, Pine, Zoellner, and Hatcher, J. Opt. Soc. Am. 48, 710 (1958), hereafter referred to as III.

Zadoff, L.

L. Zadoff, Ph.D. thesis, New York University (1957).

Other (9)

R. D. Hatcher and J. H. Rohrbaugh, J. Opt. Soc. Am. 46, 104 (1956), hereafter referred to as I; 48, 704 (1958), hereafter referred to as II; Rohrbaugh, Pine, Zoellner, and Hatcher, J. Opt. Soc. Am. 48, 710 (1958), hereafter referred to as III.

P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill Book Company, Inc., New York, 1953), Vol. II, p. 1429.

L. Zadoff, Ph.D. thesis, New York University (1957).

W. C. Meecham, J. Appl. Phys. 27, 361 (1956), where references to other approaches may be found.

W. C. Meecham and C. W. Peters, J. Appl. Phys. 28, 216 (1957).

P. M. Morse and H. Feshabach, Methods of Theoretical Physics (McGraw-Hill Book Company, Inc., New York), p. 806, 1544.

A similar change should be made in Eq. (9) of I which should read [equation] We thank Dr. Masao Seya for correspondence on this point. This equation arises from Eq. (5) above by considering the scalar product (b8n0) to be absent which can be done by having (Ψr08) equal 0 over the surface of the grating in Eq. (2). (It must also be remarked that Fig. 3 of I was not the intended figure, the meaning being sufficiently clear in our judgment to make it unnecessary to replace the figure here.)

N. Finkelstein, J. Opt. Soc. Am. 41, 179 (1951).

J. H. Greig and W. F. C. Ferguson, J. Opt. Soc. Am. 40, 504 (1950).

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