Abstract

A lattice-form optical interleaver was designed and fabricated with a silicon-based silica waveguide. Cascaded multimode interference couplers were first employed in the lattice circuit and helped to relax the fabrication tolerance. The device shows good performance, the insertion loss is less than 2.25  dB, the passband ripple is less than 0.15  dB, the cross talk is less than 18.9  dB, and the 0.5  dB passband is more than 100  GHz.

© 2007 Optical Society of America

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References

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2006

2004

2000

1998

1995

K. Jinguji and M. Kawachi, "Synthesis of coherent two-port lattice-form optical delay-line circuit," J. Lightwave Technol. 13, 73-82 (1995).
[CrossRef]

L. B. Soldano and E. C. M. Pennings, "Optical multi-mode interference devices based on self-imaging: principles and applications," J. Lightwave Technol. 13, 615-627 (1995).
[CrossRef]

1994

1964

Appl. Opt.

J. Lightwave Technol.

J. Opt. Soc. Am.

Opt. Lett.

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Figures (4)

Fig. 1
Fig. 1

Structure of (a) 2 × 2 MMI coupler, (b) cascaded MMI coupler.

Fig. 2
Fig. 2

Division of the lattice circuit. The total circuit with unitary transfer matrix S is divided into N + 1 units with transfer matrix S k . Each unit is composed of a delay line with time difference Δτ, a phase shifter φ k , and a coupler with angle θ k .

Fig. 3
Fig. 3

Transmittance of the optical interleaver.

Fig. 4
Fig. 4

Passband of the optical interleaver.

Tables (2)

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Table 1 Circuit Parameters of the Third-Order Optical Interleaver

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Table 2 Performance of the Optical Interleaver

Equations (15)

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S 2 × 2   MMI = 1 2 | 1 j j 1 | .
S c   MMI = | sin ( θ / 2 ) cos ( θ / 2 ) cos ( θ / 2 ) sin ( θ / 2 ) | ,
S k = | sin ( θ k / 2 ) e j φ k / 2 z 1 / 2 cos ( θ k / 2 ) e j φ k / 2 z 1 / 2 cos ( θ k / 2 ) e j φ k / 2 z 1 / 2 sin ( θ k / 2 ) e j φ k / 2 z 1 / 2 | ,
H ( z ) = ( k = 0 N a k z k ) z N / 2 ,
F ( z ) = ( k = 0 N b k z k ) z N / 2 .
θ n = 2 tan 1 ( a n [ n ] b n [ n ] ) ,
ϕ n = arg [ a 0 [ n ] b 1 [ n ] a 1 [ n ] b 0 [ n ] ( a 0 [ n ] ) 2 + ( b 0 [ n ] ) 2 ] ,
a k [ n 1 ] = [ a k + 1 [ n ]  sin ( θ n / 2 ) b k + 1 [ n ]  cos ( θ n / 2 ) ] e j ϕ n / 2 ,
b k [ n 1 ] = [ a k [ n ]  cos ( θ n / 2 ) + b k [ n ]  sin ( θ n / 2 ) ] e j ϕ n / 2 ,
θ 0 = 2 tan 1 ( a 0 [ 0 ] b 0 [ 0 ] ) .
H ( z ) H * ( z ) = 0.5 + k = 1 N A 2 k 1 [ z ( 2 k 1 ) + z 2 k 1 ] ,
F ( z ) F * ( z ) = 0.5 k = 1 N A 2 k 1 [ z ( 2 k 1 ) + z 2 k 1 ] ,
A 2 k 1 = ( 1 ) k + N i = 1 2 N ( N + 0.5 i ) 2 ( N k ) ! ( N 1 + k ) ! ( 0.5 k )
( k = 1 , 2 , , N ) .
n e f f Δ L = c 2 Δ f ,

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