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References

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  1. P. Baumeister, J. Opt. Soc. Am. 48, 955 (1958).
    [Crossref]
  2. A. M. Ermolaev, I. M. Minkov, and A. G. Vlasov, Opt. Spectry. 13, 142 (1962) [Opt. i Spektroskopiya 13, 259 (1962)].
  3. N. Kimura, J. Appl. Phys. (Japan) 31, 739 (1962); J. Appl. Phys. (Japan) 32, 199 (1963).
  4. F. Abélès, Ann. Phys. (Paris) 5, 596 (1950).
  5. R. Jacobsson, Opt. Acta (to be published).
  6. J. W. Strutt ( Rayleigh), Proc. London Math. Soc. 11, 51 (1880).

1962 (2)

A. M. Ermolaev, I. M. Minkov, and A. G. Vlasov, Opt. Spectry. 13, 142 (1962) [Opt. i Spektroskopiya 13, 259 (1962)].

N. Kimura, J. Appl. Phys. (Japan) 31, 739 (1962); J. Appl. Phys. (Japan) 32, 199 (1963).

1958 (1)

1950 (1)

F. Abélès, Ann. Phys. (Paris) 5, 596 (1950).

1880 (1)

J. W. Strutt ( Rayleigh), Proc. London Math. Soc. 11, 51 (1880).

J. W. Strutt ( Rayleigh), Proc. London Math. Soc. 11, 51 (1880).

Abélès, F.

F. Abélès, Ann. Phys. (Paris) 5, 596 (1950).

Baumeister, P.

Ermolaev, A. M.

A. M. Ermolaev, I. M. Minkov, and A. G. Vlasov, Opt. Spectry. 13, 142 (1962) [Opt. i Spektroskopiya 13, 259 (1962)].

Jacobsson, R.

R. Jacobsson, Opt. Acta (to be published).

Kimura, N.

N. Kimura, J. Appl. Phys. (Japan) 31, 739 (1962); J. Appl. Phys. (Japan) 32, 199 (1963).

Minkov, I. M.

A. M. Ermolaev, I. M. Minkov, and A. G. Vlasov, Opt. Spectry. 13, 142 (1962) [Opt. i Spektroskopiya 13, 259 (1962)].

Rayleigh,

J. W. Strutt ( Rayleigh), Proc. London Math. Soc. 11, 51 (1880).

Strutt, J. W.

J. W. Strutt ( Rayleigh), Proc. London Math. Soc. 11, 51 (1880).

Vlasov, A. G.

A. M. Ermolaev, I. M. Minkov, and A. G. Vlasov, Opt. Spectry. 13, 142 (1962) [Opt. i Spektroskopiya 13, 259 (1962)].

Ann. Phys. (Paris) (1)

F. Abélès, Ann. Phys. (Paris) 5, 596 (1950).

J. Appl. Phys. (Japan) (1)

N. Kimura, J. Appl. Phys. (Japan) 31, 739 (1962); J. Appl. Phys. (Japan) 32, 199 (1963).

J. Opt. Soc. Am. (1)

Opt. Spectry. (1)

A. M. Ermolaev, I. M. Minkov, and A. G. Vlasov, Opt. Spectry. 13, 142 (1962) [Opt. i Spektroskopiya 13, 259 (1962)].

Proc. London Math. Soc. (1)

J. W. Strutt ( Rayleigh), Proc. London Math. Soc. 11, 51 (1880).

Other (1)

R. Jacobsson, Opt. Acta (to be published).

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Figures (2)

Fig. 1
Fig. 1

Reflectance versus wavelength of multilayer on substrate with index ns=1.52 (Curve a), ns=4.0 (Curve b) and on substrate with index ns=4.0 with inhomogeneous layer between substrate and multilayer.

Fig. 2
Fig. 2

Reflectance versus wavenumber of inhomogeneous film with index varying from 2.3 at the air side to 4.1 at the substrate side. The index of the substrate is 4.1.

Equations (4)

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n ( z ) = [ ( n 2 2 - n 1 2 ) ( z / d ) + n 1 2 ] 1 2 ,
n ( z ) = n 1 n 2 n 2 - ( n 2 - n 1 ) ( z / d ) .
m 11 = ( n 2 n 1 ) 1 2 [ cos ( m log n 1 n 2 ) + 1 2 m sin ( m log n 1 n 2 ) ] m 12 = i k d ( n 1 n 2 ) 1 2 m ( n 2 - n 1 ) sin ( m log n 1 n 2 ) m 21 = i k d ( n 1 n 2 ) 1 2 m ( n 2 - n 1 ) sin ( m log n 1 n 2 ) m 22 = ( n 1 n 2 ) 1 2 [ cos ( m log n 1 n 2 ) - 1 2 m sin ( m log n 1 n 2 ) ] , }
m 2 = ( k d n 1 n 2 n 2 - n 1 ) 2 - 1 4 .