Abstract
We discuss different types of multimodal laser field self-reproduction in stepped-index optical fibers, including invariance, rotation, and periodic self-reproduction of the field cross-section distribution. As an alternative to classical LP-modes used as a signal carrier in the optical fiber, we propose a superposition of angular harmonics that can be obtained as a special combination of LP-modes, which also shows modal properties in an optical fiber.
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Poole, C.D. and Wang, S.-C., Bend-Induced Loss for the Higher-Order Spatial Mode in a Dual-Mode Fiber, Opt. Lett., 1993, vol. 18, no. 20, pp. 1712–1714.
Hwang, I.K., Yun, S.H., and Kim, B.Y., Long-Period Fiber Gratings Based on Periodic Microbends, Opt. Lett., 1999, vol. 24, no. 18, pp. 1263–1265.
Lee, K.S. and Erdogan, T., Fiber Mode Conversion with Tilted Gratings in an Optical Fiber, J. Opt. Soc. Am., Ser. A, 2001, vol. 18, no. 5, pp. 1176–1185.
Thornburg, W.Q., Corrado, B.J., and Zhu, X.D., Selective Launching of Higher-Order Modes into an Optical Fiber with an Optical Phase Shifter, Opt. Lett., 1994, vol. 19, no. 7, pp. 454–456.
Poon, A.W., Chang, R.K., and Lock, J.A., Spiral Morphology-Dependent Resonances in an Optical Fiber: Effects of Fiber Tilt and Focused Gaussian Beam Illumination, Opt. Lett., 1998, vol. 23, no. 14, pp. 1105–1107.
Bolshtyansky, M.A., Savchenko, A.Yu., and Zel’dovich, B.Ya., Use of Skew Rays in Multimode Fibers to Generate Speckle Field with Nonzero Vorticity, Opt. Lett., 1999, vol. 24, no. 7, pp. 433–435.
Dubois, F., Emplit, Ph., and Hugon, O., Selective Mode Excitation in Graded-Index Multimode Fiber by a Computer-Generated Optical Mask, Opt. Lett., 1994, vol. 19, no. 7, pp. 433–435.
Soifer, V.A., Golub, M.A., Laser Beam Mode Selection by Computer-Generated Holograms, Boca Raton, CRC Press, 1994.
Methods for Computer Design of Diffractive Optical Elements, Soifer, V.A., Ed., New York: John Wiley & Sons, Inc., 2002.
Mikaelian, A.L., Use of a Layered Medium to Focus Waves, Dokl. USSR Acad. Sci., 1951.
Mikaelian, A.L., Self-Focusing Media with Variable Index of Refraction, Wolf, E., Ed., Progress in Optics, 1980, vol. 27, pp. 279–345.
Gloge, D., Weakly guided fibers, Appl. Opt., 1971, vol. 10, pp. 2252–2258.
Marcuse, D., Light Transmission Optics, New York: Van Nostrand Reinhold Co., 1972.
Levi, L., Applied Optics, New York: John Wiley & Sons Inc., 1980.
Cherin, A.H., AnIintroduction to Optical Fibers, Singapore: McGraw-Hill book Co., 1987.
Snyder, A.W. and Love, J.D., Optical Waveguide Theory, Chapman and Hall, 1984.
Koshiba, M., Optical Waveguide Analysis, Tokyo: McGraw-Hill Inc., 1990.
Yeh, C., Handbook of Fiber Optics. Theory and Applications, New York: Acad. Press Inc., 1990.
Kotlyar, V.V., Khonina, S.N., Soifer, V.A., and Wang, Y., Measuring the Orbital Angular Momentum of the Light Field Using a Diffractive Optical Element, Avtometriya J., 2002, vol. 38, no. 3, pp. 33–44.
Khonina, S.N., Skidanov, R.V., Kotlyar, V.V., Jefimovs, K., and Turunen, J., Phase Diffractive Filter to Analyze an utput Step-Index Fiber Beam, Opt. Memory and Neural Networks (Allerton Press), 2003, vol. 12, no. 4, pp. 317–324.
Karpeev, S.V., Paveliev, V.S., and Khonina, S.N., Studies of Dependence between the Mode Power at a Stepped-Index Fiber input and its Bending, Comput. Opt., 2003, vol. 25, pp. 95–99.
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Khonina, S.N., Volotovsky, S.G. Self-reproduction of multimode laser fields in weakly guiding stepped-index fibers. Opt. Mem. Neural Networks 16, 167–177 (2007). https://doi.org/10.3103/S1060992X07030071
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DOI: https://doi.org/10.3103/S1060992X07030071