Abstract

A highly dispersive waveguide structure is proposed to efficiently compress and expand ultra short pulses in a package forming a sufficiently small footprint. A sub-wavelength grating is fashioned into a ridge waveguide to take advantage of multiple dispersive effects and spread the mode over a significantly larger area than a standard single-mode waveguide. The structure is designed to take advantage of the amplified dispersion near cutoff. Modal analysis is performed on two variations of the structure using a finite element solver package. The predicted dispersion is sufficient to double the width of a 1 ps pulse within the width of a standard 5 inch (127 mm) wafer. A theoretical analysis of the grating component composing the structure confirms that the dispersion values are fully reasonable.

© 2004 Optical Society of America

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References

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    [CrossRef]
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Appl. Opt. (1)

Applications of Nonlinear Fiber Optics (1)

�??Pulse compression,�?? in Applications of Nonlinear Fiber Optics, G. Agrawal (Academic, San Diego, Calif., 2001), pp. 263-318.
[CrossRef]

IEEE Microwave Guided Wave Lett. (1)

S. Wang, H Erlig, H. Fetterman, E. Yablonovitch, V. Grubsky, D. Starodubov, and J. Feinberg, �??Group velocity dispersion ancellation and additive group delays by cascaded fiber bragg gratings in transmission,�?? IEEE Microwave Guided Wave Lett. 8, 327-329 (1998).
[CrossRef]

IEEE Photonics Tech. Lett. (1)

J. Williams and I. Bennion, �??The compression of optical pulses using self-phase-modulation and linearly chirped bragg gratings in fibers,�?? IEEE Photonics Tech. Lett. 7, 491-493 (1995).
[CrossRef]

Intro to Optical Waveguide Analysis (1)

�??Finite-difference methods�?? in Introduction to Optical Waveguide Analysis, K. Kawano and T. Kitoh (Wiley, New York, NY, 2001), pp. 117-164.
[CrossRef]

J. Lightwave Technol. (1)

N. Litchinitser, B. Eggleton, and D. Patterson, �??Fiber bragg gratings for dispersion compensation in transmission: theoretical model and design criteria for nearly ideal pulse recompression,�?? J. Lightwave Technol. 15, 1303-1313 (1997).
[CrossRef]

J. Opt. Soc. Am. A (1)

Opt. Lett. (1)

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Figures (8)

Fig. 1.
Fig. 1.

TE mode dispersion in ridge waveguide.

Fig. 2.
Fig. 2.

Nano-Dispersion Dispersion Amplified Waveguide Structure.

Fig. 3.
Fig. 3.

Mode profile in nano-DAWG structure. (a) TE Mode; (b) TM Mode.

Fig. 4.
Fig. 4.

Dispersion curves for nano-DAWG structure.

Fig. 5.
Fig. 5.

Mode profile in second nano-DAWG structure. (a) TE Mode; (b) TM Mode.

Fig. 6.
Fig. 6.

Dispersion curves for second nano-DAWG structure.

Fig. 7.
Fig. 7.

Effective Index and Dispersion for true TE mode in an Infinite Grating.

Fig. 8.
Fig. 8.

Dispersion for TE mode in a similarly dimensioned ridge waveguide operating near cutoff.

Equations (11)

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β ( ω ) = ω c n eff ( ω )
D = 2 π c λ 2 2 β ω 2 = λ c 2 n eff λ 2
τ ( z ) = τ 0 ( 1 + z 2 z 0 2 ) 1 2
z 0 = π c τ 0 2 λ 2 D
t = t z β ω
· ( H z n 2 ) μ r k 0 2 H z = β 2 n 2 H z
· ( E z μ r ) n 2 k 0 2 E z = β 2 μ r E z
L B = λ B = λ n TM n TE
n eff 2 = ε P 0 ( 1 + π 2 3 ( Λ λ ) 2 f 2 ( 1 f ) 2 ( n g 2 n c 2 ) ε T 0 n c 2 ε P 0 n g 2 n c 2 ) + ( ( Λ λ ) 4 )
ε T 0 = f n g 2 + ( 1 f ) n c 2
ε P 0 = ( f n g 2 + ( 1 f ) n c 2 ) 1

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