Abstract

A theoretical analysis of the aberration losses of the microoptic directional coupler recently being used in optical communication systems has been carried out. We show that our results are consistent with those obtained experimentally and that the minimum insertion loss does not occur at the paraxial length (which has been used in the experiments), but at an optimum length, which is slightly less. However, the tolerance in the positioning of the output fiber is less for the optimum length than for the paraxial length, although the increased loss at the optimum length due to poor positional adjustments within the tolerance value is still considerably smaller than the minimum loss at the paraxial length.

© 1980 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. W. J. Tomlinson, Appl. Opt. 16, 2180 (1977).
    [CrossRef] [PubMed]
  2. W. J. Tomlinson, G. D. Aumiller, Appl. Phys. Lett. 31, 169 (1977).
    [CrossRef]
  3. M. Nunoshila, Y. Nomura, T. Matsui, T. Nakayama, Opt. Lett. 4, 27 (1979).
    [CrossRef]
  4. K. Kobayashi, R. Ishikawa, K. Minemura, S. Sugimoto, in Technical Digest, International Conference on Integrated Optics and Optical Fiber Communication, Tokyo, 18–20 July 1977 (Institute of Electronics and Communication Engineers, Tokyo, 1977), p. 367.
  5. K. Minemura, K. Kobayashi, T. Yanase, R. Ishikawa, M. Shikada, A. Ueki, S. Sugimoto, Electron. Lett. 14, 340 (1978).
    [CrossRef]
  6. J. J. Pan, in CLEOS, 25–27 May 1976, Digest of Topical Meeting (Optical Society of America, Washington, D.C., 1978), paper THE 3.
  7. T. Miki, I. Ishio, IEEE Trans. Commun. COM-26, 1082 (1978).
    [CrossRef]
  8. The N.A. of a graded-index fiber varies from point to point on its face; see, e.g., D. Gloge, E. A. J. Marcatili, Bell Syst. Tech. J. 52, 1563 (1978).
  9. A. K. Ghatak, K. Thyagarajan, Contemporary Optics (Plenum, New York, 1978).
    [CrossRef]

1979

1978

K. Minemura, K. Kobayashi, T. Yanase, R. Ishikawa, M. Shikada, A. Ueki, S. Sugimoto, Electron. Lett. 14, 340 (1978).
[CrossRef]

T. Miki, I. Ishio, IEEE Trans. Commun. COM-26, 1082 (1978).
[CrossRef]

The N.A. of a graded-index fiber varies from point to point on its face; see, e.g., D. Gloge, E. A. J. Marcatili, Bell Syst. Tech. J. 52, 1563 (1978).

1977

W. J. Tomlinson, Appl. Opt. 16, 2180 (1977).
[CrossRef] [PubMed]

W. J. Tomlinson, G. D. Aumiller, Appl. Phys. Lett. 31, 169 (1977).
[CrossRef]

Aumiller, G. D.

W. J. Tomlinson, G. D. Aumiller, Appl. Phys. Lett. 31, 169 (1977).
[CrossRef]

Ghatak, A. K.

A. K. Ghatak, K. Thyagarajan, Contemporary Optics (Plenum, New York, 1978).
[CrossRef]

Gloge, D.

The N.A. of a graded-index fiber varies from point to point on its face; see, e.g., D. Gloge, E. A. J. Marcatili, Bell Syst. Tech. J. 52, 1563 (1978).

Ishikawa, R.

K. Minemura, K. Kobayashi, T. Yanase, R. Ishikawa, M. Shikada, A. Ueki, S. Sugimoto, Electron. Lett. 14, 340 (1978).
[CrossRef]

K. Kobayashi, R. Ishikawa, K. Minemura, S. Sugimoto, in Technical Digest, International Conference on Integrated Optics and Optical Fiber Communication, Tokyo, 18–20 July 1977 (Institute of Electronics and Communication Engineers, Tokyo, 1977), p. 367.

Ishio, I.

T. Miki, I. Ishio, IEEE Trans. Commun. COM-26, 1082 (1978).
[CrossRef]

Kobayashi, K.

K. Minemura, K. Kobayashi, T. Yanase, R. Ishikawa, M. Shikada, A. Ueki, S. Sugimoto, Electron. Lett. 14, 340 (1978).
[CrossRef]

K. Kobayashi, R. Ishikawa, K. Minemura, S. Sugimoto, in Technical Digest, International Conference on Integrated Optics and Optical Fiber Communication, Tokyo, 18–20 July 1977 (Institute of Electronics and Communication Engineers, Tokyo, 1977), p. 367.

Marcatili, E. A. J.

The N.A. of a graded-index fiber varies from point to point on its face; see, e.g., D. Gloge, E. A. J. Marcatili, Bell Syst. Tech. J. 52, 1563 (1978).

Matsui, T.

Miki, T.

T. Miki, I. Ishio, IEEE Trans. Commun. COM-26, 1082 (1978).
[CrossRef]

Minemura, K.

K. Minemura, K. Kobayashi, T. Yanase, R. Ishikawa, M. Shikada, A. Ueki, S. Sugimoto, Electron. Lett. 14, 340 (1978).
[CrossRef]

K. Kobayashi, R. Ishikawa, K. Minemura, S. Sugimoto, in Technical Digest, International Conference on Integrated Optics and Optical Fiber Communication, Tokyo, 18–20 July 1977 (Institute of Electronics and Communication Engineers, Tokyo, 1977), p. 367.

Nakayama, T.

Nomura, Y.

Nunoshila, M.

Pan, J. J.

J. J. Pan, in CLEOS, 25–27 May 1976, Digest of Topical Meeting (Optical Society of America, Washington, D.C., 1978), paper THE 3.

Shikada, M.

K. Minemura, K. Kobayashi, T. Yanase, R. Ishikawa, M. Shikada, A. Ueki, S. Sugimoto, Electron. Lett. 14, 340 (1978).
[CrossRef]

Sugimoto, S.

K. Minemura, K. Kobayashi, T. Yanase, R. Ishikawa, M. Shikada, A. Ueki, S. Sugimoto, Electron. Lett. 14, 340 (1978).
[CrossRef]

K. Kobayashi, R. Ishikawa, K. Minemura, S. Sugimoto, in Technical Digest, International Conference on Integrated Optics and Optical Fiber Communication, Tokyo, 18–20 July 1977 (Institute of Electronics and Communication Engineers, Tokyo, 1977), p. 367.

Thyagarajan, K.

A. K. Ghatak, K. Thyagarajan, Contemporary Optics (Plenum, New York, 1978).
[CrossRef]

Tomlinson, W. J.

W. J. Tomlinson, Appl. Opt. 16, 2180 (1977).
[CrossRef] [PubMed]

W. J. Tomlinson, G. D. Aumiller, Appl. Phys. Lett. 31, 169 (1977).
[CrossRef]

Ueki, A.

K. Minemura, K. Kobayashi, T. Yanase, R. Ishikawa, M. Shikada, A. Ueki, S. Sugimoto, Electron. Lett. 14, 340 (1978).
[CrossRef]

Yanase, T.

K. Minemura, K. Kobayashi, T. Yanase, R. Ishikawa, M. Shikada, A. Ueki, S. Sugimoto, Electron. Lett. 14, 340 (1978).
[CrossRef]

Appl. Opt.

Appl. Phys. Lett.

W. J. Tomlinson, G. D. Aumiller, Appl. Phys. Lett. 31, 169 (1977).
[CrossRef]

Bell Syst. Tech. J.

The N.A. of a graded-index fiber varies from point to point on its face; see, e.g., D. Gloge, E. A. J. Marcatili, Bell Syst. Tech. J. 52, 1563 (1978).

Electron. Lett.

K. Minemura, K. Kobayashi, T. Yanase, R. Ishikawa, M. Shikada, A. Ueki, S. Sugimoto, Electron. Lett. 14, 340 (1978).
[CrossRef]

IEEE Trans. Commun.

T. Miki, I. Ishio, IEEE Trans. Commun. COM-26, 1082 (1978).
[CrossRef]

Opt. Lett.

Other

K. Kobayashi, R. Ishikawa, K. Minemura, S. Sugimoto, in Technical Digest, International Conference on Integrated Optics and Optical Fiber Communication, Tokyo, 18–20 July 1977 (Institute of Electronics and Communication Engineers, Tokyo, 1977), p. 367.

J. J. Pan, in CLEOS, 25–27 May 1976, Digest of Topical Meeting (Optical Society of America, Washington, D.C., 1978), paper THE 3.

A. K. Ghatak, K. Thyagarajan, Contemporary Optics (Plenum, New York, 1978).
[CrossRef]

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1
Fig. 1

Diagram of the microoptic directional coupler.

Fig. 2
Fig. 2

Variation of minimum loss as a function of the position of input fiber OF1; x0 = 0 denotes the center of OF1.

Fig. 3
Fig. 3

Plot of minimum loss as a function of total length z of the rod lens for OF1 placed with its center at (0.1 mm, 0).

Fig. 4
Fig. 4

Plots of loss as a function of the position of the output fiber OF2 in the x direction; x i = 0 denotes the center of OF2. Dashed and solid curves correspond to z = 9.08 mm and z = 9.2 mm (paraxial length), respectively. The input fiber is placed with its center at (0.1 mm, 0).

Fig. 5
Fig. 5

Plots of loss as a function of the position of the output fiber OF2 in the y direction; (−0.1 mm, y i = 0) denotes the center of OF2. The notation of curves and other parameters are the same as in Fig. 4.

Equations (9)

Equations on this page are rendered with MathJax. Learn more.

= P 2 / P 1 .
= i j n i j ω i i j N i j ω i ,
n = n 0 ( 1 - α 2 r 2 ) 1 / 2 ,
d d s ( n d r d s ) = n
x ( z ) = x 0 cos α z c + ξ c α sin α z c ,
y ( z ) = y 0 cos α z c + η c α sin α z c ,
ξ = d x d z | z = 0 ,             η = d y d z | z = 0 ,
c n ( x 0 , y 0 ) cos θ 0 / n 0 ,
θ r = cos - 1 { c / [ 1 - α 2 ( x 1 2 + y 1 2 ) ] 1 / 2 } ,

Metrics