Abstract

Light scattered from a perfect cylindrical quartz fiber was studied as a function of fiber rotation, bend, bend and rotation, and tilt. These pure geometrical manipulations are basic and easily controlled perturbations that affect both the total intensity and geometrical distribution of the scattered light. The scattering patterns from these perfect fibers are more complex than first suspected.

© 1987 Optical Society of America

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References

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  1. W. S. Bickel, W. Gilliar, B. Bell, “Light Scattering from Fibers: A Closer Look with a New Twist,” Appl. Opt. 19, 3671 (1980).
    [CrossRef] [PubMed]
  2. H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957); M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969); G. Mie, “Beitrage zur Optik trüber Medien speziell Kolloidaler Metallosungen,” Ann. Phys. 25, 377 (1908).
    [CrossRef]
  3. C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
  4. S. Twomey, Introduction to the Mathematics of Inversion in Remote Sensing and Indirect Measurements (Elsevier, Amsterdam, 1977).
  5. W. Gilliar, W. S. Bickel, W. M. Bailey, “Light Diffraction Studies of Single Muscle Fibers as a Function of Fiber Rotation,” Biophys. J. 45, 1159 (1984).
    [CrossRef] [PubMed]

1984

W. Gilliar, W. S. Bickel, W. M. Bailey, “Light Diffraction Studies of Single Muscle Fibers as a Function of Fiber Rotation,” Biophys. J. 45, 1159 (1984).
[CrossRef] [PubMed]

1980

Bailey, W. M.

W. Gilliar, W. S. Bickel, W. M. Bailey, “Light Diffraction Studies of Single Muscle Fibers as a Function of Fiber Rotation,” Biophys. J. 45, 1159 (1984).
[CrossRef] [PubMed]

Bell, B.

Bickel, W. S.

W. Gilliar, W. S. Bickel, W. M. Bailey, “Light Diffraction Studies of Single Muscle Fibers as a Function of Fiber Rotation,” Biophys. J. 45, 1159 (1984).
[CrossRef] [PubMed]

W. S. Bickel, W. Gilliar, B. Bell, “Light Scattering from Fibers: A Closer Look with a New Twist,” Appl. Opt. 19, 3671 (1980).
[CrossRef] [PubMed]

Bohren, C. F.

C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).

Gilliar, W.

W. Gilliar, W. S. Bickel, W. M. Bailey, “Light Diffraction Studies of Single Muscle Fibers as a Function of Fiber Rotation,” Biophys. J. 45, 1159 (1984).
[CrossRef] [PubMed]

W. S. Bickel, W. Gilliar, B. Bell, “Light Scattering from Fibers: A Closer Look with a New Twist,” Appl. Opt. 19, 3671 (1980).
[CrossRef] [PubMed]

Huffman, D. R.

C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).

Twomey, S.

S. Twomey, Introduction to the Mathematics of Inversion in Remote Sensing and Indirect Measurements (Elsevier, Amsterdam, 1977).

van de Hulst, H. C.

H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957); M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969); G. Mie, “Beitrage zur Optik trüber Medien speziell Kolloidaler Metallosungen,” Ann. Phys. 25, 377 (1908).
[CrossRef]

Appl. Opt.

Biophys. J.

W. Gilliar, W. S. Bickel, W. M. Bailey, “Light Diffraction Studies of Single Muscle Fibers as a Function of Fiber Rotation,” Biophys. J. 45, 1159 (1984).
[CrossRef] [PubMed]

Other

H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957); M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969); G. Mie, “Beitrage zur Optik trüber Medien speziell Kolloidaler Metallosungen,” Ann. Phys. 25, 377 (1908).
[CrossRef]

C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).

S. Twomey, Introduction to the Mathematics of Inversion in Remote Sensing and Indirect Measurements (Elsevier, Amsterdam, 1977).

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Figures (7)

Fig. 1
Fig. 1

Experimental apparatus used to study the scattering patterns of a fiber as a function of geometrical perturbation: (a) fiber is rotated about the z axis as photographic paper on the screen is moved in the z direction to record the scattering pattern; (b) fiber is rotated through β about the x axis; (c) fiber is bent in the x-z plane; (d) bent fiber is rotated through angle γ about the z axis.

Fig. 2
Fig. 2

Scattering pattern of a near-perfect fiber as a function of rotation about the z axis.

Fig. 3
Fig. 3

Scattering pattern of a near-perfect fiber as a function of tilt in the y-z plane. The slight tilt of the patterns is due to a tilt of the fiber in the x-z plane.

Fig. 4
Fig. 4

Scattering pattern of a near-perfect fiber as a function of fiber bend. The slight tilt of the patterns is due to a tilt of the fiber in the x-z plane.

Fig. 5
Fig. 5

Diagram showing the constant distance r of the focus of a bent fiber from the laser beam.

Fig. 6
Fig. 6

Scattering pattern of a near-perfect bent fiber as a function of rotation about the z axis.

Fig. 7
Fig. 7

Scattering pattern from a complex system of fibers.

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