Abstract

Special phase matching of second-harmonic generation (SHG) by use of the photonic effect was experimentally confirmed for an obliquely propagating fundamental beam in the helical smectic C* liquid-crystal phase, as suggested by Belyakov [JETP Lett. 70, 811 (1999)]. The enhancement of SHG occurs when the second-harmonic wave is close to a photonic bandgap (half-pitch band) and consequently the fundamental wave is close to another photonic bandgap (full-pitch band). The enhanced signal was observed from both the transmitted and the reflected directions and was compared with our recently developed simulation.

© 2002 Optical Society of America

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2001

H. Hoshi, D. H. Chung, K. Ishikawa, and H. Takezoe, Phys. Rev. E 63, 056610.1–16 (2001).
[CrossRef]

H. Hoshi, K. C. Shin, D. H. Chung, K. Ishikawa, and H. Takezoe, Jpn. J. Appl. Phys. 40, L970 (2001).
[CrossRef]

1999

V. A. Belyakov, JETP Lett. 70, 811 (1999).
[CrossRef]

D. H. Chung, H. Hoshi, K. Ishikawa, H. Takezoe, and M. Schadt, Mol. Cryst. Liq. Cryst. 328, 283 (1999).
[CrossRef]

1998

1997

I. Drevensek-Olenik and M. Copic, Phys. Rev. E 56, 581 (1997).
[CrossRef]

J. G. Yoo, S. W. Choi, H. Hoshi, K. Ishikawa, H. Takezoe, and M. Schadt, Jpn. J. Appl. Phys. 36, L1168 (1997).
[CrossRef]

1996

M. Copic and I. Drevensek-Olenik, Liq. Cryst. 21, 233 (1996).
[CrossRef]

1995

T. Furukawa, T. Yamada, K. Ishikawa, H. Takezoe, and A. Fukuda, Appl. Phys. B 60, 485 (1995).
[CrossRef]

1992

K. Kajikawa, T. Isozaki, H. Takezoe, and A. Fukuda, Jpn. J. Appl. Phys. 31, L679 (1992).
[CrossRef]

1991

M. Utsumi, T. Gotou, K. Daido, M. Ozaki, and K. Yoshino, Jpn. J. Appl. Phys. 30, 2369 (1991).
[CrossRef]

L. Y. Liu, M. G. Robinson, K. M. Johnson, D. M. Walba, M. B. Ros, N. A. Clark, R. Shao, and D. Doroski, J. Appl. Phys. 70, 3426 (1991).
[CrossRef]

1989

A. Taguchi, Y. Ouchi, H. Takezoe, and A. Fukuda, Jpn. J. Appl. Phys. 28, L997 (1989).
[CrossRef]

1984

Y. Ouchi, T. Shingu, H. Takezoe, A. Fukuda, E. Kuze, M. Koga, and N. Goto, Jpn. J. Appl. Phys. 23, L660 (1984).
[CrossRef]

1982

V. A. Belyakov and N. V. Shipov, Sov. Phys. JETP 55, 674 (1982).

1981

V. A. Belyakov and N. V. Shipov, Phys. Lett. A 86, 94 (1981).
[CrossRef]

1973

D. W. Berreman, Mol. Cryst. Liq. Cryst. 22, 175 (1973).
[CrossRef]

1972

1971

J. W. Shelton and Y. R. Shen, Phys. Rev. Lett. 26, 538 (1971).
[CrossRef]

1970

J. W. Shelton and Y. R. Shen, Phys. Rev. Lett. 25, 23 (1970).
[CrossRef]

Belyakov, V. A.

V. A. Belyakov, JETP Lett. 70, 811 (1999).
[CrossRef]

V. A. Belyakov and N. V. Shipov, Sov. Phys. JETP 55, 674 (1982).

V. A. Belyakov and N. V. Shipov, Phys. Lett. A 86, 94 (1981).
[CrossRef]

Berreman, D. W.

D. W. Berreman, Mol. Cryst. Liq. Cryst. 22, 175 (1973).
[CrossRef]

D. W. Berreman, J. Opt. Soc. Am. 62, 502 (1972).

Choi, S. W.

J. G. Yoo, S. W. Choi, H. Hoshi, K. Ishikawa, H. Takezoe, and M. Schadt, Jpn. J. Appl. Phys. 36, L1168 (1997).
[CrossRef]

Chung, D. H.

H. Hoshi, K. C. Shin, D. H. Chung, K. Ishikawa, and H. Takezoe, Jpn. J. Appl. Phys. 40, L970 (2001).
[CrossRef]

H. Hoshi, D. H. Chung, K. Ishikawa, and H. Takezoe, Phys. Rev. E 63, 056610.1–16 (2001).
[CrossRef]

D. H. Chung, H. Hoshi, K. Ishikawa, H. Takezoe, and M. Schadt, Mol. Cryst. Liq. Cryst. 328, 283 (1999).
[CrossRef]

Clark, N. A.

L. Y. Liu, M. G. Robinson, K. M. Johnson, D. M. Walba, M. B. Ros, N. A. Clark, R. Shao, and D. Doroski, J. Appl. Phys. 70, 3426 (1991).
[CrossRef]

Copic, M.

I. Drevensek-Olenik and M. Copic, Phys. Rev. E 56, 581 (1997).
[CrossRef]

M. Copic and I. Drevensek-Olenik, Liq. Cryst. 21, 233 (1996).
[CrossRef]

Daido, K.

M. Utsumi, T. Gotou, K. Daido, M. Ozaki, and K. Yoshino, Jpn. J. Appl. Phys. 30, 2369 (1991).
[CrossRef]

Doroski, D.

L. Y. Liu, M. G. Robinson, K. M. Johnson, D. M. Walba, M. B. Ros, N. A. Clark, R. Shao, and D. Doroski, J. Appl. Phys. 70, 3426 (1991).
[CrossRef]

Drevensek-Olenik, I.

I. Drevensek-Olenik and M. Copic, Phys. Rev. E 56, 581 (1997).
[CrossRef]

M. Copic and I. Drevensek-Olenik, Liq. Cryst. 21, 233 (1996).
[CrossRef]

Fan, B.

Fukuda, A.

T. Furukawa, T. Yamada, K. Ishikawa, H. Takezoe, and A. Fukuda, Appl. Phys. B 60, 485 (1995).
[CrossRef]

K. Kajikawa, T. Isozaki, H. Takezoe, and A. Fukuda, Jpn. J. Appl. Phys. 31, L679 (1992).
[CrossRef]

A. Taguchi, Y. Ouchi, H. Takezoe, and A. Fukuda, Jpn. J. Appl. Phys. 28, L997 (1989).
[CrossRef]

Y. Ouchi, T. Shingu, H. Takezoe, A. Fukuda, E. Kuze, M. Koga, and N. Goto, Jpn. J. Appl. Phys. 23, L660 (1984).
[CrossRef]

Furukawa, T.

T. Furukawa, T. Yamada, K. Ishikawa, H. Takezoe, and A. Fukuda, Appl. Phys. B 60, 485 (1995).
[CrossRef]

Genack, A. Z.

Goto, N.

Y. Ouchi, T. Shingu, H. Takezoe, A. Fukuda, E. Kuze, M. Koga, and N. Goto, Jpn. J. Appl. Phys. 23, L660 (1984).
[CrossRef]

Gotou, T.

M. Utsumi, T. Gotou, K. Daido, M. Ozaki, and K. Yoshino, Jpn. J. Appl. Phys. 30, 2369 (1991).
[CrossRef]

Hoshi, H.

H. Hoshi, D. H. Chung, K. Ishikawa, and H. Takezoe, Phys. Rev. E 63, 056610.1–16 (2001).
[CrossRef]

H. Hoshi, K. C. Shin, D. H. Chung, K. Ishikawa, and H. Takezoe, Jpn. J. Appl. Phys. 40, L970 (2001).
[CrossRef]

D. H. Chung, H. Hoshi, K. Ishikawa, H. Takezoe, and M. Schadt, Mol. Cryst. Liq. Cryst. 328, 283 (1999).
[CrossRef]

J. G. Yoo, S. W. Choi, H. Hoshi, K. Ishikawa, H. Takezoe, and M. Schadt, Jpn. J. Appl. Phys. 36, L1168 (1997).
[CrossRef]

Ishikawa, K.

H. Hoshi, K. C. Shin, D. H. Chung, K. Ishikawa, and H. Takezoe, Jpn. J. Appl. Phys. 40, L970 (2001).
[CrossRef]

H. Hoshi, D. H. Chung, K. Ishikawa, and H. Takezoe, Phys. Rev. E 63, 056610.1–16 (2001).
[CrossRef]

D. H. Chung, H. Hoshi, K. Ishikawa, H. Takezoe, and M. Schadt, Mol. Cryst. Liq. Cryst. 328, 283 (1999).
[CrossRef]

J. G. Yoo, S. W. Choi, H. Hoshi, K. Ishikawa, H. Takezoe, and M. Schadt, Jpn. J. Appl. Phys. 36, L1168 (1997).
[CrossRef]

T. Furukawa, T. Yamada, K. Ishikawa, H. Takezoe, and A. Fukuda, Appl. Phys. B 60, 485 (1995).
[CrossRef]

Isozaki, T.

K. Kajikawa, T. Isozaki, H. Takezoe, and A. Fukuda, Jpn. J. Appl. Phys. 31, L679 (1992).
[CrossRef]

Johnson, K. M.

L. Y. Liu, M. G. Robinson, K. M. Johnson, D. M. Walba, M. B. Ros, N. A. Clark, R. Shao, and D. Doroski, J. Appl. Phys. 70, 3426 (1991).
[CrossRef]

Kajikawa, K.

K. Kajikawa, T. Isozaki, H. Takezoe, and A. Fukuda, Jpn. J. Appl. Phys. 31, L679 (1992).
[CrossRef]

Koga, M.

Y. Ouchi, T. Shingu, H. Takezoe, A. Fukuda, E. Kuze, M. Koga, and N. Goto, Jpn. J. Appl. Phys. 23, L660 (1984).
[CrossRef]

Kopp, V. I.

Kuze, E.

Y. Ouchi, T. Shingu, H. Takezoe, A. Fukuda, E. Kuze, M. Koga, and N. Goto, Jpn. J. Appl. Phys. 23, L660 (1984).
[CrossRef]

Liu, L. Y.

L. Y. Liu, M. G. Robinson, K. M. Johnson, D. M. Walba, M. B. Ros, N. A. Clark, R. Shao, and D. Doroski, J. Appl. Phys. 70, 3426 (1991).
[CrossRef]

Ouchi, Y.

A. Taguchi, Y. Ouchi, H. Takezoe, and A. Fukuda, Jpn. J. Appl. Phys. 28, L997 (1989).
[CrossRef]

Y. Ouchi, T. Shingu, H. Takezoe, A. Fukuda, E. Kuze, M. Koga, and N. Goto, Jpn. J. Appl. Phys. 23, L660 (1984).
[CrossRef]

Ozaki, M.

M. Utsumi, T. Gotou, K. Daido, M. Ozaki, and K. Yoshino, Jpn. J. Appl. Phys. 30, 2369 (1991).
[CrossRef]

Robinson, M. G.

L. Y. Liu, M. G. Robinson, K. M. Johnson, D. M. Walba, M. B. Ros, N. A. Clark, R. Shao, and D. Doroski, J. Appl. Phys. 70, 3426 (1991).
[CrossRef]

Ros, M. B.

L. Y. Liu, M. G. Robinson, K. M. Johnson, D. M. Walba, M. B. Ros, N. A. Clark, R. Shao, and D. Doroski, J. Appl. Phys. 70, 3426 (1991).
[CrossRef]

Schadt, M.

D. H. Chung, H. Hoshi, K. Ishikawa, H. Takezoe, and M. Schadt, Mol. Cryst. Liq. Cryst. 328, 283 (1999).
[CrossRef]

J. G. Yoo, S. W. Choi, H. Hoshi, K. Ishikawa, H. Takezoe, and M. Schadt, Jpn. J. Appl. Phys. 36, L1168 (1997).
[CrossRef]

Shao, R.

L. Y. Liu, M. G. Robinson, K. M. Johnson, D. M. Walba, M. B. Ros, N. A. Clark, R. Shao, and D. Doroski, J. Appl. Phys. 70, 3426 (1991).
[CrossRef]

Shelton, J. W.

J. W. Shelton and Y. R. Shen, Phys. Rev. Lett. 26, 538 (1971).
[CrossRef]

J. W. Shelton and Y. R. Shen, Phys. Rev. Lett. 25, 23 (1970).
[CrossRef]

Shen, Y. R.

J. W. Shelton and Y. R. Shen, Phys. Rev. Lett. 26, 538 (1971).
[CrossRef]

J. W. Shelton and Y. R. Shen, Phys. Rev. Lett. 25, 23 (1970).
[CrossRef]

Shin, K. C.

H. Hoshi, K. C. Shin, D. H. Chung, K. Ishikawa, and H. Takezoe, Jpn. J. Appl. Phys. 40, L970 (2001).
[CrossRef]

Shingu, T.

Y. Ouchi, T. Shingu, H. Takezoe, A. Fukuda, E. Kuze, M. Koga, and N. Goto, Jpn. J. Appl. Phys. 23, L660 (1984).
[CrossRef]

Shipov, N. V.

V. A. Belyakov and N. V. Shipov, Sov. Phys. JETP 55, 674 (1982).

V. A. Belyakov and N. V. Shipov, Phys. Lett. A 86, 94 (1981).
[CrossRef]

Taguchi, A.

A. Taguchi, Y. Ouchi, H. Takezoe, and A. Fukuda, Jpn. J. Appl. Phys. 28, L997 (1989).
[CrossRef]

Takezoe, H.

H. Hoshi, D. H. Chung, K. Ishikawa, and H. Takezoe, Phys. Rev. E 63, 056610.1–16 (2001).
[CrossRef]

H. Hoshi, K. C. Shin, D. H. Chung, K. Ishikawa, and H. Takezoe, Jpn. J. Appl. Phys. 40, L970 (2001).
[CrossRef]

D. H. Chung, H. Hoshi, K. Ishikawa, H. Takezoe, and M. Schadt, Mol. Cryst. Liq. Cryst. 328, 283 (1999).
[CrossRef]

J. G. Yoo, S. W. Choi, H. Hoshi, K. Ishikawa, H. Takezoe, and M. Schadt, Jpn. J. Appl. Phys. 36, L1168 (1997).
[CrossRef]

T. Furukawa, T. Yamada, K. Ishikawa, H. Takezoe, and A. Fukuda, Appl. Phys. B 60, 485 (1995).
[CrossRef]

K. Kajikawa, T. Isozaki, H. Takezoe, and A. Fukuda, Jpn. J. Appl. Phys. 31, L679 (1992).
[CrossRef]

A. Taguchi, Y. Ouchi, H. Takezoe, and A. Fukuda, Jpn. J. Appl. Phys. 28, L997 (1989).
[CrossRef]

Y. Ouchi, T. Shingu, H. Takezoe, A. Fukuda, E. Kuze, M. Koga, and N. Goto, Jpn. J. Appl. Phys. 23, L660 (1984).
[CrossRef]

Utsumi, M.

M. Utsumi, T. Gotou, K. Daido, M. Ozaki, and K. Yoshino, Jpn. J. Appl. Phys. 30, 2369 (1991).
[CrossRef]

Vithana, H. K. M.

Walba, D. M.

L. Y. Liu, M. G. Robinson, K. M. Johnson, D. M. Walba, M. B. Ros, N. A. Clark, R. Shao, and D. Doroski, J. Appl. Phys. 70, 3426 (1991).
[CrossRef]

Yamada, T.

T. Furukawa, T. Yamada, K. Ishikawa, H. Takezoe, and A. Fukuda, Appl. Phys. B 60, 485 (1995).
[CrossRef]

Yoo, J. G.

J. G. Yoo, S. W. Choi, H. Hoshi, K. Ishikawa, H. Takezoe, and M. Schadt, Jpn. J. Appl. Phys. 36, L1168 (1997).
[CrossRef]

Yoshino, K.

M. Utsumi, T. Gotou, K. Daido, M. Ozaki, and K. Yoshino, Jpn. J. Appl. Phys. 30, 2369 (1991).
[CrossRef]

Appl. Phys. B

T. Furukawa, T. Yamada, K. Ishikawa, H. Takezoe, and A. Fukuda, Appl. Phys. B 60, 485 (1995).
[CrossRef]

J. Appl. Phys.

L. Y. Liu, M. G. Robinson, K. M. Johnson, D. M. Walba, M. B. Ros, N. A. Clark, R. Shao, and D. Doroski, J. Appl. Phys. 70, 3426 (1991).
[CrossRef]

J. Opt. Soc. Am.

JETP Lett.

V. A. Belyakov, JETP Lett. 70, 811 (1999).
[CrossRef]

Jpn. J. Appl. Phys.

J. G. Yoo, S. W. Choi, H. Hoshi, K. Ishikawa, H. Takezoe, and M. Schadt, Jpn. J. Appl. Phys. 36, L1168 (1997).
[CrossRef]

Jpn. J. Appl. Phys.

H. Hoshi, K. C. Shin, D. H. Chung, K. Ishikawa, and H. Takezoe, Jpn. J. Appl. Phys. 40, L970 (2001).
[CrossRef]

Y. Ouchi, T. Shingu, H. Takezoe, A. Fukuda, E. Kuze, M. Koga, and N. Goto, Jpn. J. Appl. Phys. 23, L660 (1984).
[CrossRef]

A. Taguchi, Y. Ouchi, H. Takezoe, and A. Fukuda, Jpn. J. Appl. Phys. 28, L997 (1989).
[CrossRef]

M. Utsumi, T. Gotou, K. Daido, M. Ozaki, and K. Yoshino, Jpn. J. Appl. Phys. 30, 2369 (1991).
[CrossRef]

K. Kajikawa, T. Isozaki, H. Takezoe, and A. Fukuda, Jpn. J. Appl. Phys. 31, L679 (1992).
[CrossRef]

Liq. Cryst.

M. Copic and I. Drevensek-Olenik, Liq. Cryst. 21, 233 (1996).
[CrossRef]

Mol. Cryst. Liq. Cryst.

D. H. Chung, H. Hoshi, K. Ishikawa, H. Takezoe, and M. Schadt, Mol. Cryst. Liq. Cryst. 328, 283 (1999).
[CrossRef]

D. W. Berreman, Mol. Cryst. Liq. Cryst. 22, 175 (1973).
[CrossRef]

Opt. Lett.

Phys. Lett. A

V. A. Belyakov and N. V. Shipov, Phys. Lett. A 86, 94 (1981).
[CrossRef]

Phys. Rev. E

H. Hoshi, D. H. Chung, K. Ishikawa, and H. Takezoe, Phys. Rev. E 63, 056610.1–16 (2001).
[CrossRef]

I. Drevensek-Olenik and M. Copic, Phys. Rev. E 56, 581 (1997).
[CrossRef]

Phys. Rev. Lett.

J. W. Shelton and Y. R. Shen, Phys. Rev. Lett. 25, 23 (1970).
[CrossRef]

J. W. Shelton and Y. R. Shen, Phys. Rev. Lett. 26, 538 (1971).
[CrossRef]

Sov. Phys. JETP

V. A. Belyakov and N. V. Shipov, Sov. Phys. JETP 55, 674 (1982).

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Figures (4)

Fig. 1
Fig. 1

Block diagram of the experimental setup for SHG measurements. Aper., aperture; PC, personal computer; AMP, amplifier.

Fig. 2
Fig. 2

Temperature dependence of full- and half-pitch bands at 15° and 28° oblique incidence.

Fig. 3
Fig. 3

Relation of full-pitch band (transmittance loss) to SHG enhancement when the fundamental wave is obliquely incident at 35°.

Fig. 4
Fig. 4

(a) Temperature dependence of SHG intensity observed at two incidence angles, 29° and 35°. (b) For comparison, calculated SHG intensities are shown as functions of helical pitch.

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