Abstract

I propose a method for enhancing the cascaded phase shift of the fundamental wave associated with second-harmonic generation in aperiodic quasi-phase matched (QPM) gratings. The position and length of one of the domains were varied to maximize the cascaded phase shift. A maximum enhancement of 84% in the cascaded phase shift relative to a perfectly periodic QPM grating was obtained at a moderate fundamental input intensity without initial seeding of the second-harmonic wave. All-optical intensity modulation is also proposed with another optimized aperiodic QPM grating.

© 1998 Optical Society of America

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    [CrossRef] [PubMed]

1997 (2)

1996 (1)

1995 (3)

1994 (4)

R. Shiek, Opt. Quantum Electron. 26, 415 (1994); Y. Baek, R. Shiek, and G. I. Stegeman, Opt. Lett. 20, 2169 (1995).
[CrossRef]

D. J. Hagen, Z. Wang, G. I. Stegeman, E. W. Van Stryland, M. Sheik-Bahae, and G. Assanto, Opt. Lett. 19, 1305 (1994).
[CrossRef]

W. K. Burns, W. McElhanon, and L. Goldberg, IEEE Photon. Technol. Lett. 6, 252 (1994).
[CrossRef]

K. Mizuuchi, K. Yamamoto, M. Kato, and H. Sato, IEEE J. Quantum Electron. 30, 1596 (1994).
[CrossRef]

1993 (1)

G. Assanto, G. I. Stegeman, M. Sheik-Bahae, and E. W. Van Stryland, Appl. Phys. Lett. 62, 1323 (1993); IEEE J. Quantum Electron. 31, 673 (1995).
[CrossRef]

1992 (1)

1991 (1)

D. H. Jundt, G. A. Magel, M. M. Fejer, and R. L. Byer, Appl. Phys. Lett. 59, 2657 (1991).
[CrossRef]

1990 (1)

T. Suhara and H. Nishihara, IEEE J. Quantum Electron. 26, 1265 (1990).
[CrossRef]

1962 (1)

J. Armstrong, N. Bloembergen, J. Ducuing, and P. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Agrawal, G. P.

Armstrong, J.

J. Armstrong, N. Bloembergen, J. Ducuing, and P. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Asobe, M.

Assanto, G.

D. J. Hagen, Z. Wang, G. I. Stegeman, E. W. Van Stryland, M. Sheik-Bahae, and G. Assanto, Opt. Lett. 19, 1305 (1994).
[CrossRef]

G. Assanto, G. I. Stegeman, M. Sheik-Bahae, and E. W. Van Stryland, Appl. Phys. Lett. 62, 1323 (1993); IEEE J. Quantum Electron. 31, 673 (1995).
[CrossRef]

Baldi, P.

Bloembergen, N.

J. Armstrong, N. Bloembergen, J. Ducuing, and P. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Bosenberg, W. R.

Burns, W. K.

W. K. Burns, W. McElhanon, and L. Goldberg, IEEE Photon. Technol. Lett. 6, 252 (1994).
[CrossRef]

Byer, R. L.

DeSalvo, R.

Dmitriev, V. G.

V. G. Dmitriev, G. G. Gurzadyan, and D. N. Nikgosyan, Handbook of Nonlinear Optical Crystals (Springer-Verlag, Berlin, 1991), p. 75.

Ducuing, J.

J. Armstrong, N. Bloembergen, J. Ducuing, and P. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Eckardt, R. C.

Fejer, M. M.

George, N.

Goldberg, L.

W. K. Burns, W. McElhanon, and L. Goldberg, IEEE Photon. Technol. Lett. 6, 252 (1994).
[CrossRef]

Gurzadyan, G. G.

V. G. Dmitriev, G. G. Gurzadyan, and D. N. Nikgosyan, Handbook of Nonlinear Optical Crystals (Springer-Verlag, Berlin, 1991), p. 75.

Hagan, D. J.

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

R. DeSalvo, D. J. Hagan, M. Sheik-Bahae, G. Stegeman, and E. W. Van Stryland, Opt. Lett. 17, 28 (1992).
[CrossRef] [PubMed]

Hagen, D. J.

Itoh, H.

Jundt, D. H.

D. H. Jundt, G. A. Magel, M. M. Fejer, and R. L. Byer, Appl. Phys. Lett. 59, 2657 (1991).
[CrossRef]

Kaino, T.

Kato, M.

K. Mizuuchi, K. Yamamoto, M. Kato, and H. Sato, IEEE J. Quantum Electron. 30, 1596 (1994).
[CrossRef]

Levenson, J. A.

Lovering, D. J.

Magel, G. A.

D. H. Jundt, G. A. Magel, M. M. Fejer, and R. L. Byer, Appl. Phys. Lett. 59, 2657 (1991).
[CrossRef]

McElhanon, W.

W. K. Burns, W. McElhanon, and L. Goldberg, IEEE Photon. Technol. Lett. 6, 252 (1994).
[CrossRef]

Menyuk, C. R.

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

Miller, G. D.

Mizuuchi, K.

K. Mizuuchi, K. Yamamoto, M. Kato, and H. Sato, IEEE J. Quantum Electron. 30, 1596 (1994).
[CrossRef]

Myers, L. E.

Nikgosyan, D. N.

V. G. Dmitriev, G. G. Gurzadyan, and D. N. Nikgosyan, Handbook of Nonlinear Optical Crystals (Springer-Verlag, Berlin, 1991), p. 75.

Nishihara, H.

T. Suhara and H. Nishihara, IEEE J. Quantum Electron. 26, 1265 (1990).
[CrossRef]

Pershan, P.

J. Armstrong, N. Bloembergen, J. Ducuing, and P. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Radic, S.

Russell, P. St. J.

Sato, H.

K. Mizuuchi, K. Yamamoto, M. Kato, and H. Sato, IEEE J. Quantum Electron. 30, 1596 (1994).
[CrossRef]

Sheik-Bahae, M.

Shiek, R.

R. Shiek, Opt. Quantum Electron. 26, 415 (1994); Y. Baek, R. Shiek, and G. I. Stegeman, Opt. Lett. 20, 2169 (1995).
[CrossRef]

Stegeman, G.

Stegeman, G. I.

C. G. Treviño-Palacios, G. I. Stegeman, and P. Baldi, Opt. Lett. 21, 1442 (1996).
[CrossRef]

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

D. J. Hagen, Z. Wang, G. I. Stegeman, E. W. Van Stryland, M. Sheik-Bahae, and G. Assanto, Opt. Lett. 19, 1305 (1994).
[CrossRef]

G. Assanto, G. I. Stegeman, M. Sheik-Bahae, and E. W. Van Stryland, Appl. Phys. Lett. 62, 1323 (1993); IEEE J. Quantum Electron. 31, 673 (1995).
[CrossRef]

Suhara, T.

T. Suhara and H. Nishihara, IEEE J. Quantum Electron. 26, 1265 (1990).
[CrossRef]

Torner, L.

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

Torruellas, W. E.

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

Treviño-Palacios, C. G.

Van Stryland, E. W.

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

D. J. Hagen, Z. Wang, G. I. Stegeman, E. W. Van Stryland, M. Sheik-Bahae, and G. Assanto, Opt. Lett. 19, 1305 (1994).
[CrossRef]

G. Assanto, G. I. Stegeman, M. Sheik-Bahae, and E. W. Van Stryland, Appl. Phys. Lett. 62, 1323 (1993); IEEE J. Quantum Electron. 31, 673 (1995).
[CrossRef]

R. DeSalvo, D. J. Hagan, M. Sheik-Bahae, G. Stegeman, and E. W. Van Stryland, Opt. Lett. 17, 28 (1992).
[CrossRef] [PubMed]

Vidakovic, P.

Wang, Z.

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

D. J. Hagen, Z. Wang, G. I. Stegeman, E. W. Van Stryland, M. Sheik-Bahae, and G. Assanto, Opt. Lett. 19, 1305 (1994).
[CrossRef]

Webjörn, J.

Yamamoto, K.

K. Mizuuchi, K. Yamamoto, M. Kato, and H. Sato, IEEE J. Quantum Electron. 30, 1596 (1994).
[CrossRef]

Yokohama, I.

Appl. Phys. Lett. (2)

G. Assanto, G. I. Stegeman, M. Sheik-Bahae, and E. W. Van Stryland, Appl. Phys. Lett. 62, 1323 (1993); IEEE J. Quantum Electron. 31, 673 (1995).
[CrossRef]

D. H. Jundt, G. A. Magel, M. M. Fejer, and R. L. Byer, Appl. Phys. Lett. 59, 2657 (1991).
[CrossRef]

IEEE J. Quantum Electron. (2)

T. Suhara and H. Nishihara, IEEE J. Quantum Electron. 26, 1265 (1990).
[CrossRef]

K. Mizuuchi, K. Yamamoto, M. Kato, and H. Sato, IEEE J. Quantum Electron. 30, 1596 (1994).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

W. K. Burns, W. McElhanon, and L. Goldberg, IEEE Photon. Technol. Lett. 6, 252 (1994).
[CrossRef]

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

Opt. Lett. (6)

Opt. Quantum Electron. (1)

R. Shiek, Opt. Quantum Electron. 26, 415 (1994); Y. Baek, R. Shiek, and G. I. Stegeman, Opt. Lett. 20, 2169 (1995).
[CrossRef]

Phys. Rev. (1)

J. Armstrong, N. Bloembergen, J. Ducuing, and P. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Phys. Rev. Lett. (1)

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

Other (1)

V. G. Dmitriev, G. G. Gurzadyan, and D. N. Nikgosyan, Handbook of Nonlinear Optical Crystals (Springer-Verlag, Berlin, 1991), p. 75.

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Figures (4)

Fig. 1
Fig. 1

Cascaded phase shift versus phase mismatch ΔkΔL at ΓL=7.5 for perfectly periodic (dashed curve) and aperiodic (solid curve) gratings. Inset, schematic of the QPM medium with an aperiodic domain; vertical arrows represent alternating directions of the d coefficient.

Fig. 2
Fig. 2

Maximum achievable cascaded phase shift versus ΓL for perfectly periodic (circles) and aperiodic (triangles) QPM gratings.

Fig. 3
Fig. 3

Fundamental intensity transmittance versus phase mismatch at ΓL=8.5 (dotted curve), 9.0 (solid curve), and 9.5 (dashed curve) for the aperiodic grating (N=340, ΔL=1.7ΔL).

Fig. 4
Fig. 4

Output fundamental intensity versus input intensity for the aperiodic grating with phase mismatch fixed at the value designated by the vertical solid line in Fig.  3. The units are ΓL2.

Equations (3)

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

dE2dz=iωdcn2E12 expiΔkz,
dE1dz=iωdcn1E2E1* exp-iΔkz,
Γ=ωdcn1n2E10=ωdcn12I10cϵ0n21/2,

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