Abstract

We calculate the radiation loss of a helically deformed optical fiber. Instead of treating the infinite, periodical structure, only one turn of the helix is considered. We find that the loss formula for the helix agrees with the well known curvature loss formula for a circularly deformed fiber if the radius of curvature of the circle is replaced by the radius of curvature of the helix.

© 1976 Optical Society of America

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  1. M. A. Miller and V. I. Talanov, "Electromagnetic Surface Waves Guided by a Boundary with Small Curvature," Zh. Tekh. Fiz. 26, 2755 (1956).
  2. E. A. J. Marcatili, "Bends in Optical Dielectric Guides," Bell Syst. Tech. J. 48, 2103–2132 (1969).
  3. V. V. Shevchenko, "Radiation Losses in Bent Waveguides for Surface Waves, " Radiophys. Quantum Electron. 14, 607–614 (1973).
  4. J. A. Arnaud, "Transverse Coupling in Fiber Optics Part III: Bending Losses, " Bell Syst. Tech. J. 53, 1379–1394 (1974).
  5. L. Lewin, "Radiation from Curved Dielectric Slabs and Fibers, " IEEE Trans. Microwave Theory Tech. MTT-22, 718–727 (1974).
  6. D. C. Chang and E. F. Kuester, "General Theory of Surface-Wave Propagation on a Curved Optical Waveguide of Arbitrary Cross Section, " IEEE J. Quantum Electron (to be published).
  7. D. Marcuse, "Curvature Loss Formula for Optical Fibers," J. Opt. Soc. Am. 66, 216–220 (1976).
  8. D. Marcuse, "Bent Optical Waveguide with Lossy Jacket," Bell Syst. Tech. J. 1079–1101 (1974).
  9. G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers (McGraw-Hill, New York, 1961), p. 503, Eq. (17.2-3).
  10. D. Gloge, "Weakly Guiding Fibers, " Appl. Opt. 10, 2252–2258 (1971).
  11. D. Marcuse, Theory of Dielectric Optical Waveguides, (Academic, New York, 1974), p. 65, Eq. (2-2-23) and p. 66, Eq. (2,2-25).
  12. Reference 11, p. 70, Eq. (2.2-42).
  13. D. Marcuse, Light Transmission Optics (Van Nostrand Reinhold, New York, 1972), p. 290, Eqs. (8.2-7)–(8.2-10).
  14. Reference 11, pp. 25–26.
  15. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, 4th ed. (Academic, New York, 1965),p. 963; note that Hµ(2)≈−iNµ.

1976 (1)

1974 (2)

J. A. Arnaud, "Transverse Coupling in Fiber Optics Part III: Bending Losses, " Bell Syst. Tech. J. 53, 1379–1394 (1974).

L. Lewin, "Radiation from Curved Dielectric Slabs and Fibers, " IEEE Trans. Microwave Theory Tech. MTT-22, 718–727 (1974).

1973 (1)

V. V. Shevchenko, "Radiation Losses in Bent Waveguides for Surface Waves, " Radiophys. Quantum Electron. 14, 607–614 (1973).

1971 (1)

1969 (1)

E. A. J. Marcatili, "Bends in Optical Dielectric Guides," Bell Syst. Tech. J. 48, 2103–2132 (1969).

1956 (1)

M. A. Miller and V. I. Talanov, "Electromagnetic Surface Waves Guided by a Boundary with Small Curvature," Zh. Tekh. Fiz. 26, 2755 (1956).

Arnaud, J. A.

J. A. Arnaud, "Transverse Coupling in Fiber Optics Part III: Bending Losses, " Bell Syst. Tech. J. 53, 1379–1394 (1974).

Chang, D. C.

D. C. Chang and E. F. Kuester, "General Theory of Surface-Wave Propagation on a Curved Optical Waveguide of Arbitrary Cross Section, " IEEE J. Quantum Electron (to be published).

Gloge, D.

Gradshteyn, I. S.

I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, 4th ed. (Academic, New York, 1965),p. 963; note that Hµ(2)≈−iNµ.

Korn, G. A.

G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers (McGraw-Hill, New York, 1961), p. 503, Eq. (17.2-3).

Korn, T. M.

G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers (McGraw-Hill, New York, 1961), p. 503, Eq. (17.2-3).

Kuester, E. F.

D. C. Chang and E. F. Kuester, "General Theory of Surface-Wave Propagation on a Curved Optical Waveguide of Arbitrary Cross Section, " IEEE J. Quantum Electron (to be published).

Lewin, L.

L. Lewin, "Radiation from Curved Dielectric Slabs and Fibers, " IEEE Trans. Microwave Theory Tech. MTT-22, 718–727 (1974).

Marcatili, E. A. J.

E. A. J. Marcatili, "Bends in Optical Dielectric Guides," Bell Syst. Tech. J. 48, 2103–2132 (1969).

Marcuse, D.

D. Marcuse, "Curvature Loss Formula for Optical Fibers," J. Opt. Soc. Am. 66, 216–220 (1976).

D. Marcuse, Theory of Dielectric Optical Waveguides, (Academic, New York, 1974), p. 65, Eq. (2-2-23) and p. 66, Eq. (2,2-25).

D. Marcuse, Light Transmission Optics (Van Nostrand Reinhold, New York, 1972), p. 290, Eqs. (8.2-7)–(8.2-10).

D. Marcuse, "Bent Optical Waveguide with Lossy Jacket," Bell Syst. Tech. J. 1079–1101 (1974).

Miller, M. A.

M. A. Miller and V. I. Talanov, "Electromagnetic Surface Waves Guided by a Boundary with Small Curvature," Zh. Tekh. Fiz. 26, 2755 (1956).

Ryzhik, I. M.

I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, 4th ed. (Academic, New York, 1965),p. 963; note that Hµ(2)≈−iNµ.

Shevchenko, V. V.

V. V. Shevchenko, "Radiation Losses in Bent Waveguides for Surface Waves, " Radiophys. Quantum Electron. 14, 607–614 (1973).

Talanov, V. I.

M. A. Miller and V. I. Talanov, "Electromagnetic Surface Waves Guided by a Boundary with Small Curvature," Zh. Tekh. Fiz. 26, 2755 (1956).

Appl. Opt. (1)

Bell Syst. Tech. J. (2)

E. A. J. Marcatili, "Bends in Optical Dielectric Guides," Bell Syst. Tech. J. 48, 2103–2132 (1969).

J. A. Arnaud, "Transverse Coupling in Fiber Optics Part III: Bending Losses, " Bell Syst. Tech. J. 53, 1379–1394 (1974).

IEEE Trans. Microwave Theory Tech. (1)

L. Lewin, "Radiation from Curved Dielectric Slabs and Fibers, " IEEE Trans. Microwave Theory Tech. MTT-22, 718–727 (1974).

J. Opt. Soc. Am. (1)

Radiophys. Quantum Electron. (1)

V. V. Shevchenko, "Radiation Losses in Bent Waveguides for Surface Waves, " Radiophys. Quantum Electron. 14, 607–614 (1973).

Zh. Tekh. Fiz. (1)

M. A. Miller and V. I. Talanov, "Electromagnetic Surface Waves Guided by a Boundary with Small Curvature," Zh. Tekh. Fiz. 26, 2755 (1956).

Other (8)

D. C. Chang and E. F. Kuester, "General Theory of Surface-Wave Propagation on a Curved Optical Waveguide of Arbitrary Cross Section, " IEEE J. Quantum Electron (to be published).

D. Marcuse, Theory of Dielectric Optical Waveguides, (Academic, New York, 1974), p. 65, Eq. (2-2-23) and p. 66, Eq. (2,2-25).

Reference 11, p. 70, Eq. (2.2-42).

D. Marcuse, Light Transmission Optics (Van Nostrand Reinhold, New York, 1972), p. 290, Eqs. (8.2-7)–(8.2-10).

Reference 11, pp. 25–26.

I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, 4th ed. (Academic, New York, 1965),p. 963; note that Hµ(2)≈−iNµ.

D. Marcuse, "Bent Optical Waveguide with Lossy Jacket," Bell Syst. Tech. J. 1079–1101 (1974).

G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers (McGraw-Hill, New York, 1961), p. 503, Eq. (17.2-3).

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