Abstract

An in-line, single-mode fiber-optic spectrometer is described and analyzed. Its key element is a photoresist grating placed in the evanescent field near the core on a side-polished fiber. Fabrication and nearly diffraction-limited performance (resolution Δλ ≈ 1 nm) are reported, and means are proposed to increase the resolution by several orders of magnitude.

© 1985 Optical Society of America

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References

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  1. R. A. Bergh, G. Kotler, H. J. Shaw, Electron. Lett. 16, 260 (1980).
    [Crossref]
  2. R. A. Bergh, H. C. Lefevre, H. J. Shaw, Opt. Lett. 5, 479 (1980).
    [Crossref] [PubMed]
  3. P.St. J. Russell, R. Ulrich, in Digest of Topical Meeting on Integrated and Guided-Wave Optics (Optical Society of America, Washington, D.C., 1984), paper PD3.
  4. M. L. Dakss, L. Kuhn, P. F. Heidrich, B. A. Scott, Appl. Phys. Lett. 16, 523 (1970).
    [Crossref]
  5. R. Ulrich, J. Opt. Soc. Am. 63, 1419 (1973).
    [Crossref]
  6. S. A. Newton, J. E. Bowers, G. Kotler, H. J. Shaw, Opt. Lett. 8, 60 (1983).
    [Crossref] [PubMed]

1983 (1)

1980 (2)

R. A. Bergh, G. Kotler, H. J. Shaw, Electron. Lett. 16, 260 (1980).
[Crossref]

R. A. Bergh, H. C. Lefevre, H. J. Shaw, Opt. Lett. 5, 479 (1980).
[Crossref] [PubMed]

1973 (1)

1970 (1)

M. L. Dakss, L. Kuhn, P. F. Heidrich, B. A. Scott, Appl. Phys. Lett. 16, 523 (1970).
[Crossref]

Bergh, R. A.

R. A. Bergh, G. Kotler, H. J. Shaw, Electron. Lett. 16, 260 (1980).
[Crossref]

R. A. Bergh, H. C. Lefevre, H. J. Shaw, Opt. Lett. 5, 479 (1980).
[Crossref] [PubMed]

Bowers, J. E.

Dakss, M. L.

M. L. Dakss, L. Kuhn, P. F. Heidrich, B. A. Scott, Appl. Phys. Lett. 16, 523 (1970).
[Crossref]

Heidrich, P. F.

M. L. Dakss, L. Kuhn, P. F. Heidrich, B. A. Scott, Appl. Phys. Lett. 16, 523 (1970).
[Crossref]

Kotler, G.

Kuhn, L.

M. L. Dakss, L. Kuhn, P. F. Heidrich, B. A. Scott, Appl. Phys. Lett. 16, 523 (1970).
[Crossref]

Lefevre, H. C.

Newton, S. A.

Russell, P.St. J.

P.St. J. Russell, R. Ulrich, in Digest of Topical Meeting on Integrated and Guided-Wave Optics (Optical Society of America, Washington, D.C., 1984), paper PD3.

Scott, B. A.

M. L. Dakss, L. Kuhn, P. F. Heidrich, B. A. Scott, Appl. Phys. Lett. 16, 523 (1970).
[Crossref]

Shaw, H. J.

Ulrich, R.

R. Ulrich, J. Opt. Soc. Am. 63, 1419 (1973).
[Crossref]

P.St. J. Russell, R. Ulrich, in Digest of Topical Meeting on Integrated and Guided-Wave Optics (Optical Society of America, Washington, D.C., 1984), paper PD3.

Appl. Phys. Lett. (1)

M. L. Dakss, L. Kuhn, P. F. Heidrich, B. A. Scott, Appl. Phys. Lett. 16, 523 (1970).
[Crossref]

Electron. Lett. (1)

R. A. Bergh, G. Kotler, H. J. Shaw, Electron. Lett. 16, 260 (1980).
[Crossref]

J. Opt. Soc. Am. (1)

Opt. Lett. (2)

Other (1)

P.St. J. Russell, R. Ulrich, in Digest of Topical Meeting on Integrated and Guided-Wave Optics (Optical Society of America, Washington, D.C., 1984), paper PD3.

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Figures (2)

Fig. 1
Fig. 1

Sketches of the grating–fiber coupler (a) in real space and (b) in reciprocal space. The y axis is normal to the plane of the drawing.

Fig. 2
Fig. 2

Measured intensity distribution across the free-space output beam at 1.25-m distance from the coupler (λ = 630 nm; q = −1; χ ≈ 89.6°).

Equations (6)

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cos χ q = k q , x / k 0 = N + q λ Λ ,
cos χ q 0 = k q , x / n 0 k 0 = N / n 0 + q λ / n 0 Λ . ,
A ( x , y ) q A q exp [ γ ( x 2 / 2 R 0 + y 2 / 2 r 0 ) i k q , x x i ϕ q ] ,
Δ χ = ( r 0 / R 0 ) 1 / 2 Δ α = ( λ / π s i n χ q ) ( γ / 2 R 0 ) 1 / 2 .
Δ λ = ( λ Λ / π | q | ) ( V / 2 a R 0 ) 1 / 2 ,
G ( α ) = | sin [ ( α b sin χ q + N l ) k 0 M / 2 ] / sin [ ( α b sin χ q + N l ) k 0 / 2 ] | 2

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