Abstract

A procedure for the synthesis of birefringent networks having arbitrarily prescribed transfer functions is presented. The basic network configuration consists of <i>n</i> identical cascaded birefringent crystals between an input and an output polarizer. The crystals are cut with their optic axes perpendicular to their length. The variables determined by the synthesis procedure are the angles of the optic axes of the crystals and the angle of the output polarizer. Any transfer function which is periodic with frequency and whose corresponding impulse response is real and causal can, in theory, be realized. A network of <i>n</i> crystals allows the approximation of a desired function by (<i>n</i> + 1) terms of a Fourier exponential series. Bandwidths of less than 1 Å appear possible.

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  1. H. Pohlack, Jenaer Jahrbuch, 1962, p. 181 (in German).
  2. L. Young, J. Opt. Soc. Am. 51, 967 (1961).
  3. J. S. Seeley, Proc. Phys. Soc. (London) 78, 998 (1961).
  4. R. J. Pegis, J. Opt. Soc. Am. 51, 1255 (1961).
  5. If biaxial crystals are used, crystals in the monoclinic and triclinic systems will probably not be satisfactory since the directions of their principal axes are dependent upon temperature and wavelength.
  6. H. G. Jerrard, J. Opt. Soc. Am. 38, 35 (1948).
  7. L. Mertz, J. Opt. Soc. Am. 50 (June 1960) (advertisement facing p. xii).
  8. S. E. Harris and E. O. Ammann, Proc. IEEE 52, 411 (1964).
  9. B. Lyot, Compt. Rend. 197, 1593 (1933).
  10. I. Solc, Czech. J. Phys. 3, 366 (1953); 4, 607, 669 (1954); 5, 114 (1955).
  11. J. W. Evans, J. Opt. Soc. Am. 39, 229 (1949).
  12. J. W. Evans, J. Opt. Soc. Am. 48, 142 (1958).
  13. Y. Öhman, Nature 141, 157 (1938); Nature 141, 291 (1938); Pop. Astron. Tidskrift, No. 1–2, 11, 27 (1938).
  14. J. W. Evans, Publ. Astron. Soc. Pacific 5, 305 (1940).
  15. J. W. Evans, Ciencia Invest. (Buenos Aires) 3, 365 (1947).
  16. B. H. Billings, J. Opt. Soc. Am. 37, 738 (1947).
  17. W. H. Steel, R. N. Smartt, and R. G. Giovanelli, Australian J. Phys. 14, 201 (1961).
  18. J. W. Evans, Appl. Opt. 2, 193 (1963).
  19. J. A. Aseltine, Transform Met/rod in Linear System Analysis (McGraw-Hill Book Company, Inc., New York, 1958).
  20. E. A. Guillemin, Theory of Linear Physical Systenis (John Wiley & Sons, Inc., New York, 1963), p. 430.
  21. Ref. 20, p. 408.
  22. D. C. Murdoch, Linear Algebra for Undergraduates (John Wiley & Sons, Inc., New York, 1947), p. 50–51.
  23. S. E. Harris, Appl. Phys. Letters 2, 47 (1963).
  24. R. C. Jones, J. Opt. Soc. Am. 31, 488 (1941).

Ammann, E. O.

S. E. Harris and E. O. Ammann, Proc. IEEE 52, 411 (1964).

Aseltine, J. A.

J. A. Aseltine, Transform Met/rod in Linear System Analysis (McGraw-Hill Book Company, Inc., New York, 1958).

Billings, B. H.

B. H. Billings, J. Opt. Soc. Am. 37, 738 (1947).

Evans, J. W.

J. W. Evans, Ciencia Invest. (Buenos Aires) 3, 365 (1947).

J. W. Evans, J. Opt. Soc. Am. 48, 142 (1958).

J. W. Evans, Publ. Astron. Soc. Pacific 5, 305 (1940).

J. W. Evans, Appl. Opt. 2, 193 (1963).

J. W. Evans, J. Opt. Soc. Am. 39, 229 (1949).

Giovanelli, R. G.

W. H. Steel, R. N. Smartt, and R. G. Giovanelli, Australian J. Phys. 14, 201 (1961).

Guillemin, E. A.

E. A. Guillemin, Theory of Linear Physical Systenis (John Wiley & Sons, Inc., New York, 1963), p. 430.

Harris, S. E.

S. E. Harris, Appl. Phys. Letters 2, 47 (1963).

S. E. Harris and E. O. Ammann, Proc. IEEE 52, 411 (1964).

Jerrard, H. G.

H. G. Jerrard, J. Opt. Soc. Am. 38, 35 (1948).

Jones, R. C.

R. C. Jones, J. Opt. Soc. Am. 31, 488 (1941).

Lyot, B.

B. Lyot, Compt. Rend. 197, 1593 (1933).

Mertz, L.

L. Mertz, J. Opt. Soc. Am. 50 (June 1960) (advertisement facing p. xii).

Murdoch, D. C.

D. C. Murdoch, Linear Algebra for Undergraduates (John Wiley & Sons, Inc., New York, 1947), p. 50–51.

Öhman, Y.

Y. Öhman, Nature 141, 157 (1938); Nature 141, 291 (1938); Pop. Astron. Tidskrift, No. 1–2, 11, 27 (1938).

Pegis, R. J.

R. J. Pegis, J. Opt. Soc. Am. 51, 1255 (1961).

Pohlack, H.

H. Pohlack, Jenaer Jahrbuch, 1962, p. 181 (in German).

Seeley, J. S.

J. S. Seeley, Proc. Phys. Soc. (London) 78, 998 (1961).

Smartt, R. N.

W. H. Steel, R. N. Smartt, and R. G. Giovanelli, Australian J. Phys. 14, 201 (1961).

Solc, I.

I. Solc, Czech. J. Phys. 3, 366 (1953); 4, 607, 669 (1954); 5, 114 (1955).

Steel, W. H.

W. H. Steel, R. N. Smartt, and R. G. Giovanelli, Australian J. Phys. 14, 201 (1961).

Young, L.

L. Young, J. Opt. Soc. Am. 51, 967 (1961).

Other

H. Pohlack, Jenaer Jahrbuch, 1962, p. 181 (in German).

L. Young, J. Opt. Soc. Am. 51, 967 (1961).

J. S. Seeley, Proc. Phys. Soc. (London) 78, 998 (1961).

R. J. Pegis, J. Opt. Soc. Am. 51, 1255 (1961).

If biaxial crystals are used, crystals in the monoclinic and triclinic systems will probably not be satisfactory since the directions of their principal axes are dependent upon temperature and wavelength.

H. G. Jerrard, J. Opt. Soc. Am. 38, 35 (1948).

L. Mertz, J. Opt. Soc. Am. 50 (June 1960) (advertisement facing p. xii).

S. E. Harris and E. O. Ammann, Proc. IEEE 52, 411 (1964).

B. Lyot, Compt. Rend. 197, 1593 (1933).

I. Solc, Czech. J. Phys. 3, 366 (1953); 4, 607, 669 (1954); 5, 114 (1955).

J. W. Evans, J. Opt. Soc. Am. 39, 229 (1949).

J. W. Evans, J. Opt. Soc. Am. 48, 142 (1958).

Y. Öhman, Nature 141, 157 (1938); Nature 141, 291 (1938); Pop. Astron. Tidskrift, No. 1–2, 11, 27 (1938).

J. W. Evans, Publ. Astron. Soc. Pacific 5, 305 (1940).

J. W. Evans, Ciencia Invest. (Buenos Aires) 3, 365 (1947).

B. H. Billings, J. Opt. Soc. Am. 37, 738 (1947).

W. H. Steel, R. N. Smartt, and R. G. Giovanelli, Australian J. Phys. 14, 201 (1961).

J. W. Evans, Appl. Opt. 2, 193 (1963).

J. A. Aseltine, Transform Met/rod in Linear System Analysis (McGraw-Hill Book Company, Inc., New York, 1958).

E. A. Guillemin, Theory of Linear Physical Systenis (John Wiley & Sons, Inc., New York, 1963), p. 430.

Ref. 20, p. 408.

D. C. Murdoch, Linear Algebra for Undergraduates (John Wiley & Sons, Inc., New York, 1947), p. 50–51.

S. E. Harris, Appl. Phys. Letters 2, 47 (1963).

R. C. Jones, J. Opt. Soc. Am. 31, 488 (1941).

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