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  1. P. K. Tien, R. J. Martin, G. Smolinsky, Appl. Opt. 12, 1909 (1973).
    [CrossRef] [PubMed]
  2. M. W. Muller, S. K. Chung, M. J. Sun, J. W. Moody, R. W. Shaw, Garnet Film Optics, Annual Report, No-1974-1, Office of Naval Research Contract N00014-67-A-0445-0005.

1973 (1)

Chung, S. K.

M. W. Muller, S. K. Chung, M. J. Sun, J. W. Moody, R. W. Shaw, Garnet Film Optics, Annual Report, No-1974-1, Office of Naval Research Contract N00014-67-A-0445-0005.

Martin, R. J.

Moody, J. W.

M. W. Muller, S. K. Chung, M. J. Sun, J. W. Moody, R. W. Shaw, Garnet Film Optics, Annual Report, No-1974-1, Office of Naval Research Contract N00014-67-A-0445-0005.

Muller, M. W.

M. W. Muller, S. K. Chung, M. J. Sun, J. W. Moody, R. W. Shaw, Garnet Film Optics, Annual Report, No-1974-1, Office of Naval Research Contract N00014-67-A-0445-0005.

Shaw, R. W.

M. W. Muller, S. K. Chung, M. J. Sun, J. W. Moody, R. W. Shaw, Garnet Film Optics, Annual Report, No-1974-1, Office of Naval Research Contract N00014-67-A-0445-0005.

Smolinsky, G.

Sun, M. J.

M. W. Muller, S. K. Chung, M. J. Sun, J. W. Moody, R. W. Shaw, Garnet Film Optics, Annual Report, No-1974-1, Office of Naval Research Contract N00014-67-A-0445-0005.

Tien, P. K.

Appl. Opt. (1)

Other (1)

M. W. Muller, S. K. Chung, M. J. Sun, J. W. Moody, R. W. Shaw, Garnet Film Optics, Annual Report, No-1974-1, Office of Naval Research Contract N00014-67-A-0445-0005.

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Figures (3)

Fig. 1
Fig. 1

Structure of four-layer waveguide.

Fig. 2
Fig. 2

Comparison between experimental and theoretical values of β/k of TE modes of four-layer waveguide.

Fig. 3
Fig. 3

Comparison between experimental and theoretical values of β/k of TM modes of four-layer waveguide.

Equations (11)

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E y , H y = A cos ϕ 10 exp [ - p ( x - D 1 - D 2 ) ] , x D 1 + D 2 , = A cos [ h 1 x - h 1 ( D 1 + D 2 ) + ϕ 10 ] , D 1 + D 2 x D 2 , = A F cos ( h 2 x - ϕ 23 ) , D 2 x 0 , = A F cos ϕ 23 exp ( q x ) , 0 x ,
F cos ( h 1 D 1 - ϕ 10 ) cos ( h 2 D 2 - ϕ 23 )
β 2 - p 2 = n 0 2 k 2 , β 2 + h 1 2 = n 1 2 k 2 , β 2 + h 2 2 = n 2 2 k 2 , β 2 - q 2 = n 3 2 k 2 , ϕ 10 = tan - 1 ( s 1 p s 0 h 1 ) , ϕ 23 = tan - 1 ( s 2 q s 3 h 2 ) , s i = 1 for TE modes , = n i 2 for TM modes ,
h 1 s 1 tan ( h 1 D 1 - ϕ 10 - m 1 π ) + h 2 s 2 tan ( h 2 D 2 - ϕ 23 - m 2 π ) = 0 , m 1 , m 2 = 0 , 1 , 2 , ,
A m 2 = 2 ω μ 0 β m [ D 1 2 + 1 2 p + F 2 ( D 2 2 + 1 2 q ) - h 1 2 - h 2 2 4 h 1 h 2 2 sin 2 ( h 1 D 1 - ϕ 10 ) ] - 1
A m 2 = 2 ω 0 β m [ D 1 2 n 1 2 + n 0 2 ( h 1 2 + p 2 ) ( n 0 4 h 1 2 + n 1 4 p 2 ) 1 2 p + F 2 ( D 2 2 n 2 2 + n 3 2 ( h 2 2 + q 2 ) ( n 3 4 h 2 2 + n 2 4 q 2 ) 1 2 q ) - h 1 2 - h 2 2 4 n 1 2 h 1 h 2 2 sin 2 ( h 1 D 1 - ϕ 10 ) ] - 1
E y , H y = A cos ϕ 10 exp [ - p ( x - D 1 - D 2 ) ] , D 1 + D 2 x , = A cos [ h 1 x - h 1 ( D 1 + D 2 ) + ϕ 10 ] , D 2 x D 1 + D 2 , = A G sinh ( q 2 x - ψ ) , 0 x D 2 , = A G sinh ψ exp ( q 3 x ) , x 0 ,
G cos ( h 1 D 1 - ϕ 10 ) sinh ( q 2 D 2 + ψ ) , ϕ 10 = tan - 1 ( s 1 p s 0 h 1 ) , ψ tanh - 1 ( s 3 q 2 s 2 q 3 ) , β 2 - p 2 = n 0 2 k 2 , β 2 + h 1 2 = n 1 2 k 2 , β 2 - q 2 2 = n 2 2 k 2 , β 2 - q 3 2 = n 3 2 k 2 ,
h 1 s 1 tan ( h 1 D 1 - ϕ 10 - m π ) = q 2 s 2 coth ( q 2 D 2 + ψ ) .
A m 2 = 2 ω μ 0 β m [ D 1 2 + 1 2 p + G 2 ( D 2 2 + 1 2 q 3 ) + h 1 2 - q 2 2 4 h 1 q 2 2 sin 2 ( h 1 D 1 - ϕ 10 ) ] - 1
A m 2 = 2 ω 0 β m { D 1 2 n 1 2 + n 0 2 ( h 1 2 + p 2 ) ( n 0 4 h 1 2 + n 1 4 p 2 ) 1 2 p - G 2 [ D 2 2 n 2 2 + n 3 2 ( q 2 2 + q 2 2 ) ( n 2 4 q 3 2 - n 3 4 q 2 2 ) 1 2 q 3 ] + h 1 2 - q 2 2 4 n 1 2 h 1 q 2 2 sin 2 ( h 1 D 1 - ϕ 10 ) } - 1

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