Numerical evaluation of the impulse response of multimode optical fibers

Abstract A numerical technique based on ray optics is presented that provides the impulse response of multimode optical fibers having arbitrary smooth index profiles and arbitrary material dispersion. The variation of dn/dλ 0 as a function of n when the dopant concentration varies is obtained from Fleming(1) measurements on bulk samples. This technique is applied to germania-doped multimode fibers with power-law profiles and various values of Δ ≡ Δn/n Previous results(2) are shown to be invalid when Δ ≳ 0.005. By successive approximations, optimum profiles that minimize the impulse response widths for quasi-monochromatic sources are found. For these optimum profiles, the quasi-monochromatic root-mean-square (rms) impulse response width is found to be of the order of 150 Δ2nsec/km, in agreement with a recent analytical result.(3)

[1]  S. Personick.  Receiver design for digital fiber optic communication systems, II , 1973 .

[2]  J. Fleming,et al.  Material and Mode Dispersion in GeO2·B2O3·SiC2 Glasses , 1976 .

[3]  H. Unger,et al.  Optical Waveguides , 1975, 1975 5th European Microwave Conference.

[4]  M. Horiguchi,et al.  Spectral losses of low-OH-content optical fibres , 1976 .

[5]  B. Miller,et al.  Efficient lattice‐matched double‐heterostructure LED’s at 1.1 μm from GaxIn1−xAsyP1−y , 1976 .

[6]  J. A. Arnaud,et al.  Pulse broadening in multimode optical fibers , 1975, The Bell System Technical Journal.

[7]  J. H. Harris,et al.  Beam and Fiber Optics , 1976 .

[8]  J. A. Arnaud.  Pulse broadening in multimode graded-index fibres , 1975 .

[9]  David N. Payne,et al.  Erratum: Determination of optical fiber refractive index profiles by a near‐field scanning technique , 1976 .

[10]  J. Arnaud,et al.  Pulse broadening in multimode optical fibres with large Δn/n: numerical results , 1976 .

[11]  R. Olshansky,et al.  Pulse broadening in graded-index optical fibers. , 1976, Applied optics.

[12]  Robert Olshansky,et al.  Pulse broadening caused by deviations from the optimal index profile. , 1976, Applied optics.

[13]  I. Kaminow,et al.  Profile dispersion in multimode fibres: measurement and analysis , 1975 .

[14]  P. Clarricoats,et al.  Electromagnetic-wave propagation along radially inhomogeneous dielectric cylinders , 1970 .

[15]  L. Cohen,et al.  Pulse dispersion in multimode fibers with graded B2O3‐SiO2 cores and uniform B2O3‐SiO2 cladding , 1976 .

[16]  D. Marcuse,et al.  Microbending losses of single-mode, step-index and multimode, parabolic-index fibers , 1976, The Bell System Technical Journal.

[17]  J. Arnaud.  Effect of polarisation on pulse broadening in multimode graded-index optical fibres , 1975 .

[18]  J. Arnaud,et al.  Dispersion in optical fibres with stairlike refractive-index profiles , 1976 .

[19]  J. Arnaud.  Pulse spreading in multimode, planar, optical fibers , 1974 .

[20]  Tingye Li,et al.  Research toward optical-fiber transmission systems , 1973 .

[21]  J. Stone,et al.  Surface effects and reflection refractometry of optical fibres , 1976 .