Abstract

We examine how the bending-induced mode losses in a dual-mode rectangular-core waveguide vary with bend orientation. Bending about the minor axis [case (i)] and bending about the major axis [case (ii)] are considered. The second (LP11) mode is more lossy in case (i) than in case (ii), while the reverse is true for the first (LP01) mode. Further, in case (i) the LP11-mode loss is larger than the LP01-mode loss, but in case (ii) the LP01-mode loss is, surprisingly, larger than the LP11-mode loss. LP11-mode loss is consistent with the recent experimental results. This study should be useful in designing efficient elliptical-core fiber components such as LP11-mode strippers based on differential mode loss of the first two modes.

© 1994 Optical Society of America

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References

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1993

C. D. Poole, J. M. Wiesenfield, D. J. DiGiovanni, IEEE Photon. Technol. Lett. 5, 194 (1993).
[CrossRef]

C. D. Poole, S. C. Wang, Opt. Lett. 18, 1712 (1993).
[CrossRef] [PubMed]

1992

1990

K. A. Murphy, M. S. Miller, A. M. Vengsarkar, R. O. Claus, J. Lightwave Technol. 8, 1688 (1990).
[CrossRef]

I. C. Goyal, R. L. Gallawa, A. K. Ghatak, J. Lightwave Technol. 8, 768 (1990).
[CrossRef]

1989

A. Kumar, R. K. Varshney, Opt. Lett. 14, 817 (1989).
[CrossRef] [PubMed]

K. A. Murphy, M. S. Miller, A. M. Vengsarkar, R. O. Claus, N. E. Lewis, Proc. Soc. Photo-Opt. Instrum. Eng. 1170, 599 (1989).

1987

1984

A. Kumar, R. K. Varshney, K. Thyagarajan, Electron. Lett. 20, 112 (1984).
[CrossRef]

1969

E. A. J. Marcatili, Bell Syst. Tech. J. 48, 2103 (1969).

Blake, J. N.

Carneiro, S. R. M.

Carrara, S. L. A.

Castro, F. A.

Claus, R. O.

K. A. Murphy, M. S. Miller, A. M. Vengsarkar, R. O. Claus, J. Lightwave Technol. 8, 1688 (1990).
[CrossRef]

K. A. Murphy, M. S. Miller, A. M. Vengsarkar, R. O. Claus, N. E. Lewis, Proc. Soc. Photo-Opt. Instrum. Eng. 1170, 599 (1989).

DiGiovanni, D. J.

C. D. Poole, J. M. Wiesenfield, D. J. DiGiovanni, IEEE Photon. Technol. Lett. 5, 194 (1993).
[CrossRef]

Gallawa, R. L.

I. C. Goyal, R. L. Gallawa, A. K. Ghatak, J. Lightwave Technol. 8, 768 (1990).
[CrossRef]

Ghatak, A. K.

I. C. Goyal, R. L. Gallawa, A. K. Ghatak, J. Lightwave Technol. 8, 768 (1990).
[CrossRef]

K. Thyagarajan, M. R. Shenoy, A. K. Ghatak, Opt. Lett. 12, 296 (1987).
[CrossRef] [PubMed]

Goyal, I. C.

I. C. Goyal, R. L. Gallawa, A. K. Ghatak, J. Lightwave Technol. 8, 768 (1990).
[CrossRef]

Huang, S. Y.

Kim, B. Y.

Kumar, A.

A. Kumar, R. K. Varshney, Opt. Lett. 14, 817 (1989).
[CrossRef] [PubMed]

A. Kumar, R. K. Varshney, K. Thyagarajan, Electron. Lett. 20, 112 (1984).
[CrossRef]

Lewis, N. E.

K. A. Murphy, M. S. Miller, A. M. Vengsarkar, R. O. Claus, N. E. Lewis, Proc. Soc. Photo-Opt. Instrum. Eng. 1170, 599 (1989).

Lisboa, O.

Liu, S.

C. Ma, S. Liu, Opt. Quantum Electron. 19, 83 (1987).
[CrossRef]

Ma, C.

C. Ma, S. Liu, Opt. Quantum Electron. 19, 83 (1987).
[CrossRef]

Marcatili, E. A. J.

E. A. J. Marcatili, Bell Syst. Tech. J. 48, 2103 (1969).

Miller, M. S.

K. A. Murphy, M. S. Miller, A. M. Vengsarkar, R. O. Claus, J. Lightwave Technol. 8, 1688 (1990).
[CrossRef]

K. A. Murphy, M. S. Miller, A. M. Vengsarkar, R. O. Claus, N. E. Lewis, Proc. Soc. Photo-Opt. Instrum. Eng. 1170, 599 (1989).

Murphy, K. A.

K. A. Murphy, M. S. Miller, A. M. Vengsarkar, R. O. Claus, J. Lightwave Technol. 8, 1688 (1990).
[CrossRef]

K. A. Murphy, M. S. Miller, A. M. Vengsarkar, R. O. Claus, N. E. Lewis, Proc. Soc. Photo-Opt. Instrum. Eng. 1170, 599 (1989).

Poole, C. D.

C. D. Poole, S. C. Wang, Opt. Lett. 18, 1712 (1993).
[CrossRef] [PubMed]

C. D. Poole, J. M. Wiesenfield, D. J. DiGiovanni, IEEE Photon. Technol. Lett. 5, 194 (1993).
[CrossRef]

Shaw, H. J.

Shenoy, M. R.

Thyagarajan, K.

K. Thyagarajan, M. R. Shenoy, A. K. Ghatak, Opt. Lett. 12, 296 (1987).
[CrossRef] [PubMed]

A. Kumar, R. K. Varshney, K. Thyagarajan, Electron. Lett. 20, 112 (1984).
[CrossRef]

Varshney, R. K.

A. Kumar, R. K. Varshney, Opt. Lett. 14, 817 (1989).
[CrossRef] [PubMed]

A. Kumar, R. K. Varshney, K. Thyagarajan, Electron. Lett. 20, 112 (1984).
[CrossRef]

Vengsarkar, A. M.

K. A. Murphy, M. S. Miller, A. M. Vengsarkar, R. O. Claus, J. Lightwave Technol. 8, 1688 (1990).
[CrossRef]

K. A. Murphy, M. S. Miller, A. M. Vengsarkar, R. O. Claus, N. E. Lewis, Proc. Soc. Photo-Opt. Instrum. Eng. 1170, 599 (1989).

Wang, S. C.

Wiesenfield, J. M.

C. D. Poole, J. M. Wiesenfield, D. J. DiGiovanni, IEEE Photon. Technol. Lett. 5, 194 (1993).
[CrossRef]

Bell Syst. Tech. J.

E. A. J. Marcatili, Bell Syst. Tech. J. 48, 2103 (1969).

Electron. Lett.

A. Kumar, R. K. Varshney, K. Thyagarajan, Electron. Lett. 20, 112 (1984).
[CrossRef]

IEEE Photon. Technol. Lett.

C. D. Poole, J. M. Wiesenfield, D. J. DiGiovanni, IEEE Photon. Technol. Lett. 5, 194 (1993).
[CrossRef]

J. Lightwave Technol.

K. A. Murphy, M. S. Miller, A. M. Vengsarkar, R. O. Claus, J. Lightwave Technol. 8, 1688 (1990).
[CrossRef]

I. C. Goyal, R. L. Gallawa, A. K. Ghatak, J. Lightwave Technol. 8, 768 (1990).
[CrossRef]

Opt. Lett.

Opt. Quantum Electron.

C. Ma, S. Liu, Opt. Quantum Electron. 19, 83 (1987).
[CrossRef]

Proc. Soc. Photo-Opt. Instrum. Eng.

K. A. Murphy, M. S. Miller, A. M. Vengsarkar, R. O. Claus, N. E. Lewis, Proc. Soc. Photo-Opt. Instrum. Eng. 1170, 599 (1989).

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Figures (2)

Fig. 1
Fig. 1

Schematic of bent RCW and the corresponding coordinate system used when the waveguide is bent about (a) the minor axis and (b) the major axis.

Fig. 2
Fig. 2

Normalized distance (ξr/a) of the turning point from the axis of the bent planar waveguide when the core index is varied with the core dimension and the V parameter of the waveguide kept constant. a/p = 0.001, Vb = 1.5.

Tables (1)

Tables Icon

Table 1 Normalized Bending Loss 2Fako

Equations (12)

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

[ 2 r 2 + 1 r r + 2 y 2 + k 0 2 n 2 ( r , y ) - β 2 ρ 2 r 2 ] Ψ ( r , y ) = 0.
n 0 2 ( r , y ) = n 2 ( r ) + n 2 ( y ) - n 1 2 .
1 Y 2 Y y 2 + k 0 2 n 2 ( y ) = β y 2 .
d 2 U d r 2 + 1 r d U d r + [ k 0 2 n y 2 ( r ) - β 2 ρ 2 r 2 ] U ( r ) = 0 ,
n y 2 ( r ) = { β y 2 k 0 2 ( ρ - a ) < r < ( ρ + a ) β y 2 k 0 2 - ( n 1 2 - n 2 2 ) otherwise .
[ 2 r 2 + 1 r r + 2 x 2 + k 0 2 n 2 ( r , x ) - β 2 ρ 2 r 2 ] Ψ ( r , x ) = 0.
n 0 2 ( r , x ) = n 2 ( r ) + n 2 ( x ) - n 1 2 ,
1 X 2 X x 2 + k 0 2 n 2 ( x ) = β x 2 .
d 2 U d r 2 + 1 r d U d r + [ k 0 2 n x i 2 ( r ) - β 2 ρ 2 r 2 ] U ( r ) = 0.
n x i 2 ( r ) = { β x i 2 k 0 2 ( ρ - b ) < r < ( ρ + b ) β x i 2 k 0 2 - ( n 1 2 - n 2 2 ) otherwise ,
d 2 U d ξ 2 + k 0 2 [ N e 2 ( ξ ) - n e 2 ] U ( ξ ) = 0.
Δ n 2 ( ξ ) = 1 4 ρ 2 k 0 2 + 2 ρ ( n e 2 - 1 4 ρ 2 k 0 2 ) ξ .

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