Abstract

An analysis is made of the vector properties of light scattered from small particles (the diameters are assumed comparable to a wavelength of the illumination) illuminated by two or more coherent beams. The results show that the polarization of the scattered light depends on both the polarization of the incident illumination and the scattered-light observation angle. Scattered light from orthogonally polarized illumination beams can interfere. The limits of applicability of current interference models of the scattering processes observed with laser interferometers used to determine Doppler shifts from moving particles are determined.

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  1. Y. Yeh and H. Z. Cummins, Appl. Phys. Lett. 4, 176 (1964).
  2. R. J. Goldstein and D. K. Kried, J. Appl. Mech. 4, 813 (1967).
  3. J. W. Dunning, Jr., Ph.D. thesis, Dept. of Chem. Engr., School of Engr., Case Western Reserve Univ., Cleveland, Ohio (1967) (University Microfilms, Ann Arbor, Mich., Order No. 68-10 153), p. 58.
  4. R. L. Bond, Ph.D. thesis, Univ. of Arkansas, Little Rock, Ark. (1968) (University Microfilms, Ann Arbor, Mich., Order No. 68-9620).
  5. D. B. Brayton and W. H. Goethert, Trans. Inst. Soc. Am. 10, 41 (1971).
  6. W. T. Mayo, J. Phys. E 3, 235 (1970).
  7. F. Durst and J. H. Whitelaw, Proc. R. Soc. A 324, 157 (1971).
  8. C. M. Penney, IEEE J. Quantum Electron. 5, 318 (1969).
  9. M. J. Rudd, J. Phys. E 2, 55 (1969).
  10. J. C. Owens, Appl. Opt. 11, 2977 (1972).
  11. W. M. Farmer and D. B. Brayton, Appl. Opt. 11, 2978 (1972).
  12. F. Durst, Ph.D. thesis, Heat Transfer Section, Dept. of Mech. Engr. Imperial College, London, S.W.I (1972), pp. 52–57.
  13. L. E. Drain, J. Phys. D 5, 481 (1972).
  14. R. J. Adrian and R. J. Goldstein, J. Phys. E 4, 505 (1971).
  15. C. P. Wang, Appl. Phys. Lett. 18, 522 (1971).
  16. W. M. Farmer, Appl. Opt. 11, 2603 (1972).
  17. W. P. Altman, Master's thesis, School of Elec. Engr., Univ. of Pennsylvania, Philadelphia, Pa. (1972).
  18. M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1969), p. 258.
  19. M. Kerker, The Scattering of Light and Other Electromagnetic Radiations (Academic, New York, 1969), pp. 39–50.
  20. D. Deirmendjian, Electromagnetic Scattering on Polydispersions (Elsevier, New York, 1969), pp. 12–55.
  21. M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1969), p. 636.
  22. Edward Collett, Am. J. Phys. 39, 1483 (1971).
  23. H. H. Bossel, W. J. Hiller, and G. E. A Meier, J. Phys. E 5, 895 (1972).
  24. R. Dändliker and P. D. Iten, "Direction Sensitive Laser-Doppler-Velocimeter with Polarized Beams," presented at the 1973 IEEE/OSA Conference on Laser Applications and Engineering, 30 May–1 June 1973, Washington, D. C.
  25. D. B. Brayton, H. T. Kalb, and F. L. Crosswy, Appl. Opt. 12, 1145 (1973).

1973

D. B. Brayton, H. T. Kalb, and F. L. Crosswy, Appl. Opt. 12, 1145 (1973).

1972

H. H. Bossel, W. J. Hiller, and G. E. A Meier, J. Phys. E 5, 895 (1972).

W. M. Farmer, Appl. Opt. 11, 2603 (1972).

W. P. Altman, Master's thesis, School of Elec. Engr., Univ. of Pennsylvania, Philadelphia, Pa. (1972).

J. C. Owens, Appl. Opt. 11, 2977 (1972).

W. M. Farmer and D. B. Brayton, Appl. Opt. 11, 2978 (1972).

F. Durst, Ph.D. thesis, Heat Transfer Section, Dept. of Mech. Engr. Imperial College, London, S.W.I (1972), pp. 52–57.

L. E. Drain, J. Phys. D 5, 481 (1972).

1971

R. J. Adrian and R. J. Goldstein, J. Phys. E 4, 505 (1971).

C. P. Wang, Appl. Phys. Lett. 18, 522 (1971).

Edward Collett, Am. J. Phys. 39, 1483 (1971).

D. B. Brayton and W. H. Goethert, Trans. Inst. Soc. Am. 10, 41 (1971).

F. Durst and J. H. Whitelaw, Proc. R. Soc. A 324, 157 (1971).

1970

W. T. Mayo, J. Phys. E 3, 235 (1970).

1969

C. M. Penney, IEEE J. Quantum Electron. 5, 318 (1969).

M. J. Rudd, J. Phys. E 2, 55 (1969).

1968

R. L. Bond, Ph.D. thesis, Univ. of Arkansas, Little Rock, Ark. (1968) (University Microfilms, Ann Arbor, Mich., Order No. 68-9620).

1967

R. J. Goldstein and D. K. Kried, J. Appl. Mech. 4, 813 (1967).

J. W. Dunning, Jr., Ph.D. thesis, Dept. of Chem. Engr., School of Engr., Case Western Reserve Univ., Cleveland, Ohio (1967) (University Microfilms, Ann Arbor, Mich., Order No. 68-10 153), p. 58.

1964

Y. Yeh and H. Z. Cummins, Appl. Phys. Lett. 4, 176 (1964).

Adrian, R. J.

R. J. Adrian and R. J. Goldstein, J. Phys. E 4, 505 (1971).

Altman, W. P.

W. P. Altman, Master's thesis, School of Elec. Engr., Univ. of Pennsylvania, Philadelphia, Pa. (1972).

Bond, R. L.

R. L. Bond, Ph.D. thesis, Univ. of Arkansas, Little Rock, Ark. (1968) (University Microfilms, Ann Arbor, Mich., Order No. 68-9620).

Born, M.

M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1969), p. 258.

M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1969), p. 636.

Bossel, H. H.

H. H. Bossel, W. J. Hiller, and G. E. A Meier, J. Phys. E 5, 895 (1972).

Brayton, D. B.

D. B. Brayton, H. T. Kalb, and F. L. Crosswy, Appl. Opt. 12, 1145 (1973).

W. M. Farmer and D. B. Brayton, Appl. Opt. 11, 2978 (1972).

D. B. Brayton and W. H. Goethert, Trans. Inst. Soc. Am. 10, 41 (1971).

Collett, Edward

Edward Collett, Am. J. Phys. 39, 1483 (1971).

Crosswy, F. L.

D. B. Brayton, H. T. Kalb, and F. L. Crosswy, Appl. Opt. 12, 1145 (1973).

Cummins, H. Z.

Y. Yeh and H. Z. Cummins, Appl. Phys. Lett. 4, 176 (1964).

Dändliker, R.

R. Dändliker and P. D. Iten, "Direction Sensitive Laser-Doppler-Velocimeter with Polarized Beams," presented at the 1973 IEEE/OSA Conference on Laser Applications and Engineering, 30 May–1 June 1973, Washington, D. C.

Deirmendjian, D.

D. Deirmendjian, Electromagnetic Scattering on Polydispersions (Elsevier, New York, 1969), pp. 12–55.

Drain, L. E.

L. E. Drain, J. Phys. D 5, 481 (1972).

Dunning, Jr., J. W.

J. W. Dunning, Jr., Ph.D. thesis, Dept. of Chem. Engr., School of Engr., Case Western Reserve Univ., Cleveland, Ohio (1967) (University Microfilms, Ann Arbor, Mich., Order No. 68-10 153), p. 58.

Durst, F.

F. Durst, Ph.D. thesis, Heat Transfer Section, Dept. of Mech. Engr. Imperial College, London, S.W.I (1972), pp. 52–57.

F. Durst and J. H. Whitelaw, Proc. R. Soc. A 324, 157 (1971).

Farmer, W. M.

W. M. Farmer and D. B. Brayton, Appl. Opt. 11, 2978 (1972).

W. M. Farmer, Appl. Opt. 11, 2603 (1972).

Goethert, W. H.

D. B. Brayton and W. H. Goethert, Trans. Inst. Soc. Am. 10, 41 (1971).

Goldstein, R. J.

R. J. Adrian and R. J. Goldstein, J. Phys. E 4, 505 (1971).

R. J. Goldstein and D. K. Kried, J. Appl. Mech. 4, 813 (1967).

Hiller, W. J.

H. H. Bossel, W. J. Hiller, and G. E. A Meier, J. Phys. E 5, 895 (1972).

Iten, P. D.

R. Dändliker and P. D. Iten, "Direction Sensitive Laser-Doppler-Velocimeter with Polarized Beams," presented at the 1973 IEEE/OSA Conference on Laser Applications and Engineering, 30 May–1 June 1973, Washington, D. C.

Kalb, H. T.

D. B. Brayton, H. T. Kalb, and F. L. Crosswy, Appl. Opt. 12, 1145 (1973).

Kerker, M.

M. Kerker, The Scattering of Light and Other Electromagnetic Radiations (Academic, New York, 1969), pp. 39–50.

Kried, D. K.

R. J. Goldstein and D. K. Kried, J. Appl. Mech. 4, 813 (1967).

Mayo, W. T.

W. T. Mayo, J. Phys. E 3, 235 (1970).

Meier, G. E. A

H. H. Bossel, W. J. Hiller, and G. E. A Meier, J. Phys. E 5, 895 (1972).

Owens, J. C.

J. C. Owens, Appl. Opt. 11, 2977 (1972).

Penney, C. M.

C. M. Penney, IEEE J. Quantum Electron. 5, 318 (1969).

Rudd, M. J.

M. J. Rudd, J. Phys. E 2, 55 (1969).

Wang, C. P.

C. P. Wang, Appl. Phys. Lett. 18, 522 (1971).

Whitelaw, J. H.

F. Durst and J. H. Whitelaw, Proc. R. Soc. A 324, 157 (1971).

Wolf, E.

M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1969), p. 258.

M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1969), p. 636.

Yeh, Y.

Y. Yeh and H. Z. Cummins, Appl. Phys. Lett. 4, 176 (1964).

Other

Y. Yeh and H. Z. Cummins, Appl. Phys. Lett. 4, 176 (1964).

R. J. Goldstein and D. K. Kried, J. Appl. Mech. 4, 813 (1967).

J. W. Dunning, Jr., Ph.D. thesis, Dept. of Chem. Engr., School of Engr., Case Western Reserve Univ., Cleveland, Ohio (1967) (University Microfilms, Ann Arbor, Mich., Order No. 68-10 153), p. 58.

R. L. Bond, Ph.D. thesis, Univ. of Arkansas, Little Rock, Ark. (1968) (University Microfilms, Ann Arbor, Mich., Order No. 68-9620).

D. B. Brayton and W. H. Goethert, Trans. Inst. Soc. Am. 10, 41 (1971).

W. T. Mayo, J. Phys. E 3, 235 (1970).

F. Durst and J. H. Whitelaw, Proc. R. Soc. A 324, 157 (1971).

C. M. Penney, IEEE J. Quantum Electron. 5, 318 (1969).

M. J. Rudd, J. Phys. E 2, 55 (1969).

J. C. Owens, Appl. Opt. 11, 2977 (1972).

W. M. Farmer and D. B. Brayton, Appl. Opt. 11, 2978 (1972).

F. Durst, Ph.D. thesis, Heat Transfer Section, Dept. of Mech. Engr. Imperial College, London, S.W.I (1972), pp. 52–57.

L. E. Drain, J. Phys. D 5, 481 (1972).

R. J. Adrian and R. J. Goldstein, J. Phys. E 4, 505 (1971).

C. P. Wang, Appl. Phys. Lett. 18, 522 (1971).

W. M. Farmer, Appl. Opt. 11, 2603 (1972).

W. P. Altman, Master's thesis, School of Elec. Engr., Univ. of Pennsylvania, Philadelphia, Pa. (1972).

M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1969), p. 258.

M. Kerker, The Scattering of Light and Other Electromagnetic Radiations (Academic, New York, 1969), pp. 39–50.

D. Deirmendjian, Electromagnetic Scattering on Polydispersions (Elsevier, New York, 1969), pp. 12–55.

M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1969), p. 636.

Edward Collett, Am. J. Phys. 39, 1483 (1971).

H. H. Bossel, W. J. Hiller, and G. E. A Meier, J. Phys. E 5, 895 (1972).

R. Dändliker and P. D. Iten, "Direction Sensitive Laser-Doppler-Velocimeter with Polarized Beams," presented at the 1973 IEEE/OSA Conference on Laser Applications and Engineering, 30 May–1 June 1973, Washington, D. C.

D. B. Brayton, H. T. Kalb, and F. L. Crosswy, Appl. Opt. 12, 1145 (1973).

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