Abstract

A new method based on an optical delay line structure is proposed for two-dimensional raster optical beam steering. For one-dimensional beam steering, the laser beam to be deflected is split into N co-directional sub-beams of equal intensity with the aid of a plane-parallel plate. These sub-beams experience a relative time delay, which translates into a phase difference, thus forming a phased array. When the laser wavelength is tuned, the relative phase varies and the far-field interference footprint can be steered across a receive plane. By employing two plane-parallel plates in series, the described scheme can be extended to produce a two-dimensional N × N array of sub-beams, allowing two-dimensional beam steering via wavelength tuning. In this case, wavelength tuning over a larger range leads to a linear deflection which repeats itself in a raster-like fashion. One direction of deflection repeats itself multiple times as wavelength is scanned over larger range, that is, a raster effect. In this paper, the principle is theoretically derived and formulated, and the preliminary experimental results with four sub-beams are presented.

© 2006 Optical Society of America

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  1. P. F. Mcmanamon, T. A. Dorschner, D. L. Corkum, L. J. Friedman, D. S. Hobbs, M. Holz, S. Liberman, H. Q. Nguyen, D. P. Resler, R. C. Sharp and E. A. Watson, "Optical phased array technology," Proceeding of IEEE 84, 1996, 268-298.
  2. K. H. Kudielka, A. Kalmar and W. R. Leeb, "Design and breadboarding of a phased telescope array for free-space laser communications," Proceeding of IEEE International Symposium on Phased Array Systems and Technology, (1996), pp. 419-424.
    [CrossRef]
  3. D. Bushuev, D. Kedar and S. Arnon, "Analyzing the performance of a nanosatellite cluster-detector array receiver for laser communication," J. Lightwave Technol. 21, 447-455 (2003).
    [CrossRef]
  4. A. Polishuk and S. Arnon, "Communication performance analysis of microsatellites using an optical phased array antenna," Opt. Eng. 42, No.7, 2015-2024 (2003).
    [CrossRef]
  5. H. S. Hinton, "Photonic switching fabrics," IEEE Communications Magazine 28, April 1990, 71-89.
    [CrossRef]
  6. M. Yamaguchi, T. Yamamoto, K. Hirabayashi, S. Matsuo and K. Koyabu, "High-density digital free-space photonic-switching fabrics using exciton absorption reflection-switch (EARS) arrays and microbeam optical interconnections," IEEE J. Sel. Top. Quantum Electron. 2, 47-54 (1996).
    [CrossRef]
  7. T. Yamamoto, M. Yamaguchi, K. Hirabayashi, S. Matsuo, C. Amano, H. Iwamura, Y. Kohama, T. Kurokawa and K. Koyabu, "High-density digital free-space photonic switches using micro-beam optical interconnections," IEEE Photon. Technol. Lett. 8, 358-360 (1996).
    [CrossRef]
  8. J.-P. Herriau, A. Delboulbe, J.-P. Huignard, G. Roosen and G. Pauliat, "Optical-beam steering for fiber array using dynamic holography," J. Lightwave Technol. 4, 905-907 (1986).
    [CrossRef]
  9. B. Winker, M. Mahajan and M. Hunwardsen, "Liquid crystal beam directors for airborne free-space optical communications," IEEE Aerospace Conference Proceedings 3, March 2004, 6-13.
  10. Y. Murakami, K. Inagaki and Y. Karasawa, "Beam forming characteristics of a waveguide-type optical phased array antenna," IEICE Trans. Commun. E80-B, 1997.
  11. K. Inagaki and Y. Karasawa, "Three-element fiber-type optical phased array antenna with high-speed two-dimensional optical beam steering," Electron. Commun. Jpn. 82, 42-51 (1999).
    [CrossRef]
  12. T. Kawanishi, K. Higuma, T. Fujita, J. Ichikawa, T. Sakamoto, S. Shinada and M. Izutsu, "LiNbO3 high-speed optical FSK modulator," Electron. Lett. 40, 691-692 (2004).
    [CrossRef]
  13. T. Kawanishi, K. Higuma, T. Fujita, J. Ichikawa, T. Sakamoto, S. Shinada and M. Izutsu, "High-speed optical FSK modulator for optical packet labeling," J. Lightwave Technol. 23, 87-94 (2005).
    [CrossRef]
  14. M. Toyoshima and K. Araki, Japan Patent Application for a "Beam splitting method," No. 3069703, filed 24 Nov. 1999.

2005

2004

T. Kawanishi, K. Higuma, T. Fujita, J. Ichikawa, T. Sakamoto, S. Shinada and M. Izutsu, "LiNbO3 high-speed optical FSK modulator," Electron. Lett. 40, 691-692 (2004).
[CrossRef]

2003

A. Polishuk and S. Arnon, "Communication performance analysis of microsatellites using an optical phased array antenna," Opt. Eng. 42, No.7, 2015-2024 (2003).
[CrossRef]

D. Bushuev, D. Kedar and S. Arnon, "Analyzing the performance of a nanosatellite cluster-detector array receiver for laser communication," J. Lightwave Technol. 21, 447-455 (2003).
[CrossRef]

1999

K. Inagaki and Y. Karasawa, "Three-element fiber-type optical phased array antenna with high-speed two-dimensional optical beam steering," Electron. Commun. Jpn. 82, 42-51 (1999).
[CrossRef]

1997

Y. Murakami, K. Inagaki and Y. Karasawa, "Beam forming characteristics of a waveguide-type optical phased array antenna," IEICE Trans. Commun. E80-B, 1997.

1996

P. F. Mcmanamon, T. A. Dorschner, D. L. Corkum, L. J. Friedman, D. S. Hobbs, M. Holz, S. Liberman, H. Q. Nguyen, D. P. Resler, R. C. Sharp and E. A. Watson, "Optical phased array technology," Proceeding of IEEE 84, 1996, 268-298.

M. Yamaguchi, T. Yamamoto, K. Hirabayashi, S. Matsuo and K. Koyabu, "High-density digital free-space photonic-switching fabrics using exciton absorption reflection-switch (EARS) arrays and microbeam optical interconnections," IEEE J. Sel. Top. Quantum Electron. 2, 47-54 (1996).
[CrossRef]

T. Yamamoto, M. Yamaguchi, K. Hirabayashi, S. Matsuo, C. Amano, H. Iwamura, Y. Kohama, T. Kurokawa and K. Koyabu, "High-density digital free-space photonic switches using micro-beam optical interconnections," IEEE Photon. Technol. Lett. 8, 358-360 (1996).
[CrossRef]

1990

H. S. Hinton, "Photonic switching fabrics," IEEE Communications Magazine 28, April 1990, 71-89.
[CrossRef]

1986

J.-P. Herriau, A. Delboulbe, J.-P. Huignard, G. Roosen and G. Pauliat, "Optical-beam steering for fiber array using dynamic holography," J. Lightwave Technol. 4, 905-907 (1986).
[CrossRef]

Amano, C.

T. Yamamoto, M. Yamaguchi, K. Hirabayashi, S. Matsuo, C. Amano, H. Iwamura, Y. Kohama, T. Kurokawa and K. Koyabu, "High-density digital free-space photonic switches using micro-beam optical interconnections," IEEE Photon. Technol. Lett. 8, 358-360 (1996).
[CrossRef]

Arnon, S.

D. Bushuev, D. Kedar and S. Arnon, "Analyzing the performance of a nanosatellite cluster-detector array receiver for laser communication," J. Lightwave Technol. 21, 447-455 (2003).
[CrossRef]

A. Polishuk and S. Arnon, "Communication performance analysis of microsatellites using an optical phased array antenna," Opt. Eng. 42, No.7, 2015-2024 (2003).
[CrossRef]

Bushuev, D.

Corkum, D. L.

P. F. Mcmanamon, T. A. Dorschner, D. L. Corkum, L. J. Friedman, D. S. Hobbs, M. Holz, S. Liberman, H. Q. Nguyen, D. P. Resler, R. C. Sharp and E. A. Watson, "Optical phased array technology," Proceeding of IEEE 84, 1996, 268-298.

Delboulbe, A.

J.-P. Herriau, A. Delboulbe, J.-P. Huignard, G. Roosen and G. Pauliat, "Optical-beam steering for fiber array using dynamic holography," J. Lightwave Technol. 4, 905-907 (1986).
[CrossRef]

Dorschner, T. A.

P. F. Mcmanamon, T. A. Dorschner, D. L. Corkum, L. J. Friedman, D. S. Hobbs, M. Holz, S. Liberman, H. Q. Nguyen, D. P. Resler, R. C. Sharp and E. A. Watson, "Optical phased array technology," Proceeding of IEEE 84, 1996, 268-298.

Friedman, L. J.

P. F. Mcmanamon, T. A. Dorschner, D. L. Corkum, L. J. Friedman, D. S. Hobbs, M. Holz, S. Liberman, H. Q. Nguyen, D. P. Resler, R. C. Sharp and E. A. Watson, "Optical phased array technology," Proceeding of IEEE 84, 1996, 268-298.

Fujita, T.

T. Kawanishi, K. Higuma, T. Fujita, J. Ichikawa, T. Sakamoto, S. Shinada and M. Izutsu, "High-speed optical FSK modulator for optical packet labeling," J. Lightwave Technol. 23, 87-94 (2005).
[CrossRef]

T. Kawanishi, K. Higuma, T. Fujita, J. Ichikawa, T. Sakamoto, S. Shinada and M. Izutsu, "LiNbO3 high-speed optical FSK modulator," Electron. Lett. 40, 691-692 (2004).
[CrossRef]

Herriau, J.-P.

J.-P. Herriau, A. Delboulbe, J.-P. Huignard, G. Roosen and G. Pauliat, "Optical-beam steering for fiber array using dynamic holography," J. Lightwave Technol. 4, 905-907 (1986).
[CrossRef]

Higuma, K.

T. Kawanishi, K. Higuma, T. Fujita, J. Ichikawa, T. Sakamoto, S. Shinada and M. Izutsu, "High-speed optical FSK modulator for optical packet labeling," J. Lightwave Technol. 23, 87-94 (2005).
[CrossRef]

T. Kawanishi, K. Higuma, T. Fujita, J. Ichikawa, T. Sakamoto, S. Shinada and M. Izutsu, "LiNbO3 high-speed optical FSK modulator," Electron. Lett. 40, 691-692 (2004).
[CrossRef]

Hinton, H. S.

H. S. Hinton, "Photonic switching fabrics," IEEE Communications Magazine 28, April 1990, 71-89.
[CrossRef]

Hirabayashi, K.

M. Yamaguchi, T. Yamamoto, K. Hirabayashi, S. Matsuo and K. Koyabu, "High-density digital free-space photonic-switching fabrics using exciton absorption reflection-switch (EARS) arrays and microbeam optical interconnections," IEEE J. Sel. Top. Quantum Electron. 2, 47-54 (1996).
[CrossRef]

T. Yamamoto, M. Yamaguchi, K. Hirabayashi, S. Matsuo, C. Amano, H. Iwamura, Y. Kohama, T. Kurokawa and K. Koyabu, "High-density digital free-space photonic switches using micro-beam optical interconnections," IEEE Photon. Technol. Lett. 8, 358-360 (1996).
[CrossRef]

Hobbs, D. S.

P. F. Mcmanamon, T. A. Dorschner, D. L. Corkum, L. J. Friedman, D. S. Hobbs, M. Holz, S. Liberman, H. Q. Nguyen, D. P. Resler, R. C. Sharp and E. A. Watson, "Optical phased array technology," Proceeding of IEEE 84, 1996, 268-298.

Holz, M.

P. F. Mcmanamon, T. A. Dorschner, D. L. Corkum, L. J. Friedman, D. S. Hobbs, M. Holz, S. Liberman, H. Q. Nguyen, D. P. Resler, R. C. Sharp and E. A. Watson, "Optical phased array technology," Proceeding of IEEE 84, 1996, 268-298.

Huignard, J.-P.

J.-P. Herriau, A. Delboulbe, J.-P. Huignard, G. Roosen and G. Pauliat, "Optical-beam steering for fiber array using dynamic holography," J. Lightwave Technol. 4, 905-907 (1986).
[CrossRef]

Ichikawa, J.

T. Kawanishi, K. Higuma, T. Fujita, J. Ichikawa, T. Sakamoto, S. Shinada and M. Izutsu, "High-speed optical FSK modulator for optical packet labeling," J. Lightwave Technol. 23, 87-94 (2005).
[CrossRef]

T. Kawanishi, K. Higuma, T. Fujita, J. Ichikawa, T. Sakamoto, S. Shinada and M. Izutsu, "LiNbO3 high-speed optical FSK modulator," Electron. Lett. 40, 691-692 (2004).
[CrossRef]

Inagaki, K.

K. Inagaki and Y. Karasawa, "Three-element fiber-type optical phased array antenna with high-speed two-dimensional optical beam steering," Electron. Commun. Jpn. 82, 42-51 (1999).
[CrossRef]

Y. Murakami, K. Inagaki and Y. Karasawa, "Beam forming characteristics of a waveguide-type optical phased array antenna," IEICE Trans. Commun. E80-B, 1997.

Iwamura, H.

T. Yamamoto, M. Yamaguchi, K. Hirabayashi, S. Matsuo, C. Amano, H. Iwamura, Y. Kohama, T. Kurokawa and K. Koyabu, "High-density digital free-space photonic switches using micro-beam optical interconnections," IEEE Photon. Technol. Lett. 8, 358-360 (1996).
[CrossRef]

Izutsu, M.

T. Kawanishi, K. Higuma, T. Fujita, J. Ichikawa, T. Sakamoto, S. Shinada and M. Izutsu, "High-speed optical FSK modulator for optical packet labeling," J. Lightwave Technol. 23, 87-94 (2005).
[CrossRef]

T. Kawanishi, K. Higuma, T. Fujita, J. Ichikawa, T. Sakamoto, S. Shinada and M. Izutsu, "LiNbO3 high-speed optical FSK modulator," Electron. Lett. 40, 691-692 (2004).
[CrossRef]

Karasawa, Y.

K. Inagaki and Y. Karasawa, "Three-element fiber-type optical phased array antenna with high-speed two-dimensional optical beam steering," Electron. Commun. Jpn. 82, 42-51 (1999).
[CrossRef]

Y. Murakami, K. Inagaki and Y. Karasawa, "Beam forming characteristics of a waveguide-type optical phased array antenna," IEICE Trans. Commun. E80-B, 1997.

Kawanishi, T.

T. Kawanishi, K. Higuma, T. Fujita, J. Ichikawa, T. Sakamoto, S. Shinada and M. Izutsu, "High-speed optical FSK modulator for optical packet labeling," J. Lightwave Technol. 23, 87-94 (2005).
[CrossRef]

T. Kawanishi, K. Higuma, T. Fujita, J. Ichikawa, T. Sakamoto, S. Shinada and M. Izutsu, "LiNbO3 high-speed optical FSK modulator," Electron. Lett. 40, 691-692 (2004).
[CrossRef]

Kedar, D.

Kohama, Y.

T. Yamamoto, M. Yamaguchi, K. Hirabayashi, S. Matsuo, C. Amano, H. Iwamura, Y. Kohama, T. Kurokawa and K. Koyabu, "High-density digital free-space photonic switches using micro-beam optical interconnections," IEEE Photon. Technol. Lett. 8, 358-360 (1996).
[CrossRef]

Koyabu, K.

T. Yamamoto, M. Yamaguchi, K. Hirabayashi, S. Matsuo, C. Amano, H. Iwamura, Y. Kohama, T. Kurokawa and K. Koyabu, "High-density digital free-space photonic switches using micro-beam optical interconnections," IEEE Photon. Technol. Lett. 8, 358-360 (1996).
[CrossRef]

M. Yamaguchi, T. Yamamoto, K. Hirabayashi, S. Matsuo and K. Koyabu, "High-density digital free-space photonic-switching fabrics using exciton absorption reflection-switch (EARS) arrays and microbeam optical interconnections," IEEE J. Sel. Top. Quantum Electron. 2, 47-54 (1996).
[CrossRef]

Kurokawa, T.

T. Yamamoto, M. Yamaguchi, K. Hirabayashi, S. Matsuo, C. Amano, H. Iwamura, Y. Kohama, T. Kurokawa and K. Koyabu, "High-density digital free-space photonic switches using micro-beam optical interconnections," IEEE Photon. Technol. Lett. 8, 358-360 (1996).
[CrossRef]

Liberman, S.

P. F. Mcmanamon, T. A. Dorschner, D. L. Corkum, L. J. Friedman, D. S. Hobbs, M. Holz, S. Liberman, H. Q. Nguyen, D. P. Resler, R. C. Sharp and E. A. Watson, "Optical phased array technology," Proceeding of IEEE 84, 1996, 268-298.

Matsuo, S.

T. Yamamoto, M. Yamaguchi, K. Hirabayashi, S. Matsuo, C. Amano, H. Iwamura, Y. Kohama, T. Kurokawa and K. Koyabu, "High-density digital free-space photonic switches using micro-beam optical interconnections," IEEE Photon. Technol. Lett. 8, 358-360 (1996).
[CrossRef]

M. Yamaguchi, T. Yamamoto, K. Hirabayashi, S. Matsuo and K. Koyabu, "High-density digital free-space photonic-switching fabrics using exciton absorption reflection-switch (EARS) arrays and microbeam optical interconnections," IEEE J. Sel. Top. Quantum Electron. 2, 47-54 (1996).
[CrossRef]

Mcmanamon, P. F.

P. F. Mcmanamon, T. A. Dorschner, D. L. Corkum, L. J. Friedman, D. S. Hobbs, M. Holz, S. Liberman, H. Q. Nguyen, D. P. Resler, R. C. Sharp and E. A. Watson, "Optical phased array technology," Proceeding of IEEE 84, 1996, 268-298.

Murakami, Y.

Y. Murakami, K. Inagaki and Y. Karasawa, "Beam forming characteristics of a waveguide-type optical phased array antenna," IEICE Trans. Commun. E80-B, 1997.

Nguyen, H. Q.

P. F. Mcmanamon, T. A. Dorschner, D. L. Corkum, L. J. Friedman, D. S. Hobbs, M. Holz, S. Liberman, H. Q. Nguyen, D. P. Resler, R. C. Sharp and E. A. Watson, "Optical phased array technology," Proceeding of IEEE 84, 1996, 268-298.

Pauliat, G.

J.-P. Herriau, A. Delboulbe, J.-P. Huignard, G. Roosen and G. Pauliat, "Optical-beam steering for fiber array using dynamic holography," J. Lightwave Technol. 4, 905-907 (1986).
[CrossRef]

Polishuk, A.

A. Polishuk and S. Arnon, "Communication performance analysis of microsatellites using an optical phased array antenna," Opt. Eng. 42, No.7, 2015-2024 (2003).
[CrossRef]

Resler, D. P.

P. F. Mcmanamon, T. A. Dorschner, D. L. Corkum, L. J. Friedman, D. S. Hobbs, M. Holz, S. Liberman, H. Q. Nguyen, D. P. Resler, R. C. Sharp and E. A. Watson, "Optical phased array technology," Proceeding of IEEE 84, 1996, 268-298.

Roosen, G.

J.-P. Herriau, A. Delboulbe, J.-P. Huignard, G. Roosen and G. Pauliat, "Optical-beam steering for fiber array using dynamic holography," J. Lightwave Technol. 4, 905-907 (1986).
[CrossRef]

Sakamoto, T.

T. Kawanishi, K. Higuma, T. Fujita, J. Ichikawa, T. Sakamoto, S. Shinada and M. Izutsu, "High-speed optical FSK modulator for optical packet labeling," J. Lightwave Technol. 23, 87-94 (2005).
[CrossRef]

T. Kawanishi, K. Higuma, T. Fujita, J. Ichikawa, T. Sakamoto, S. Shinada and M. Izutsu, "LiNbO3 high-speed optical FSK modulator," Electron. Lett. 40, 691-692 (2004).
[CrossRef]

Sharp, R. C.

P. F. Mcmanamon, T. A. Dorschner, D. L. Corkum, L. J. Friedman, D. S. Hobbs, M. Holz, S. Liberman, H. Q. Nguyen, D. P. Resler, R. C. Sharp and E. A. Watson, "Optical phased array technology," Proceeding of IEEE 84, 1996, 268-298.

Shinada, S.

T. Kawanishi, K. Higuma, T. Fujita, J. Ichikawa, T. Sakamoto, S. Shinada and M. Izutsu, "High-speed optical FSK modulator for optical packet labeling," J. Lightwave Technol. 23, 87-94 (2005).
[CrossRef]

T. Kawanishi, K. Higuma, T. Fujita, J. Ichikawa, T. Sakamoto, S. Shinada and M. Izutsu, "LiNbO3 high-speed optical FSK modulator," Electron. Lett. 40, 691-692 (2004).
[CrossRef]

Watson, E. A.

P. F. Mcmanamon, T. A. Dorschner, D. L. Corkum, L. J. Friedman, D. S. Hobbs, M. Holz, S. Liberman, H. Q. Nguyen, D. P. Resler, R. C. Sharp and E. A. Watson, "Optical phased array technology," Proceeding of IEEE 84, 1996, 268-298.

Yamaguchi, M.

T. Yamamoto, M. Yamaguchi, K. Hirabayashi, S. Matsuo, C. Amano, H. Iwamura, Y. Kohama, T. Kurokawa and K. Koyabu, "High-density digital free-space photonic switches using micro-beam optical interconnections," IEEE Photon. Technol. Lett. 8, 358-360 (1996).
[CrossRef]

M. Yamaguchi, T. Yamamoto, K. Hirabayashi, S. Matsuo and K. Koyabu, "High-density digital free-space photonic-switching fabrics using exciton absorption reflection-switch (EARS) arrays and microbeam optical interconnections," IEEE J. Sel. Top. Quantum Electron. 2, 47-54 (1996).
[CrossRef]

Yamamoto, T.

M. Yamaguchi, T. Yamamoto, K. Hirabayashi, S. Matsuo and K. Koyabu, "High-density digital free-space photonic-switching fabrics using exciton absorption reflection-switch (EARS) arrays and microbeam optical interconnections," IEEE J. Sel. Top. Quantum Electron. 2, 47-54 (1996).
[CrossRef]

T. Yamamoto, M. Yamaguchi, K. Hirabayashi, S. Matsuo, C. Amano, H. Iwamura, Y. Kohama, T. Kurokawa and K. Koyabu, "High-density digital free-space photonic switches using micro-beam optical interconnections," IEEE Photon. Technol. Lett. 8, 358-360 (1996).
[CrossRef]

Electron. Commun. Jpn.

K. Inagaki and Y. Karasawa, "Three-element fiber-type optical phased array antenna with high-speed two-dimensional optical beam steering," Electron. Commun. Jpn. 82, 42-51 (1999).
[CrossRef]

Electron. Lett.

T. Kawanishi, K. Higuma, T. Fujita, J. Ichikawa, T. Sakamoto, S. Shinada and M. Izutsu, "LiNbO3 high-speed optical FSK modulator," Electron. Lett. 40, 691-692 (2004).
[CrossRef]

IEEE Communications Magazine

H. S. Hinton, "Photonic switching fabrics," IEEE Communications Magazine 28, April 1990, 71-89.
[CrossRef]

IEEE J. Sel. Top. Quantum Electron.

M. Yamaguchi, T. Yamamoto, K. Hirabayashi, S. Matsuo and K. Koyabu, "High-density digital free-space photonic-switching fabrics using exciton absorption reflection-switch (EARS) arrays and microbeam optical interconnections," IEEE J. Sel. Top. Quantum Electron. 2, 47-54 (1996).
[CrossRef]

IEEE Photon. Technol. Lett.

T. Yamamoto, M. Yamaguchi, K. Hirabayashi, S. Matsuo, C. Amano, H. Iwamura, Y. Kohama, T. Kurokawa and K. Koyabu, "High-density digital free-space photonic switches using micro-beam optical interconnections," IEEE Photon. Technol. Lett. 8, 358-360 (1996).
[CrossRef]

IEICE Trans. Commun.

Y. Murakami, K. Inagaki and Y. Karasawa, "Beam forming characteristics of a waveguide-type optical phased array antenna," IEICE Trans. Commun. E80-B, 1997.

J. Lightwave Technol.

Opt. Eng.

A. Polishuk and S. Arnon, "Communication performance analysis of microsatellites using an optical phased array antenna," Opt. Eng. 42, No.7, 2015-2024 (2003).
[CrossRef]

Proceeding of IEEE

P. F. Mcmanamon, T. A. Dorschner, D. L. Corkum, L. J. Friedman, D. S. Hobbs, M. Holz, S. Liberman, H. Q. Nguyen, D. P. Resler, R. C. Sharp and E. A. Watson, "Optical phased array technology," Proceeding of IEEE 84, 1996, 268-298.

Other

K. H. Kudielka, A. Kalmar and W. R. Leeb, "Design and breadboarding of a phased telescope array for free-space laser communications," Proceeding of IEEE International Symposium on Phased Array Systems and Technology, (1996), pp. 419-424.
[CrossRef]

M. Toyoshima and K. Araki, Japan Patent Application for a "Beam splitting method," No. 3069703, filed 24 Nov. 1999.

B. Winker, M. Mahajan and M. Hunwardsen, "Liquid crystal beam directors for airborne free-space optical communications," IEEE Aerospace Conference Proceedings 3, March 2004, 6-13.

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Figures (9)

Fig. 1.
Fig. 1.

Beam splitting method to produce equal-intensity parallel beams. The device basically consists of a beam splitter and a mirror surface.

Fig. 2.
Fig. 2.

Method of generating two-dimensional multiple beams by introducing two different relative optical time delays.

Fig. 3.
Fig. 3.

Simulated two-dimensional deflection characteristics of the 2 × 2 laser beams as a function of wavelength.

Fig. 4.
Fig. 4.

Experimental setup for the beam deflection measurement.

Fig. 5.
Fig. 5.

Intensity distribution of the 2 × 2 beam array just behind the second MBG.

Fig. 6.
Fig. 6.

Movie of the 2 × 2 beam array as obtained in the focal plane of a lens in normalized intensity. [Media 1]

Fig. 7.(a).
Fig. 7.(a).

Beam patterns along the x axis as a function of wavelength.

Fig. 7 (b)
Fig. 7 (b)

Beam patterns along the y axis as a function of wavelength.

Fig. 8.
Fig. 8.

Two-dimensional deflection characteristics of the 2 × 2 laser beams as a function of wavelength. (Because of the low resolution of the measurement setup of 1 mrad, the discrete 3-level result was to be expected.).

Tables (1)

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Table 1. Parameters used for two-dimensional beam deflection as shown in Fig. 3.

Equations (18)

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R i = 1 1 N ( i 1 ) ,
AB ¯ = 2 d tan θ 2 sin θ 1 = 2 n 2 d sin 2 θ 2 n 1 cos θ 2 ,
ADC ¯ = 2 AD ¯ = 2 d cos θ 2 ,
Φ B = k 0 · AB ¯ = 2 π λ 0 2 n 2 d sin 2 θ 2 n 1 cos θ 2 ,
Φ C = n 0 k 0 · ADC ¯ = 2 π λ 0 2 n 2 d cos θ 2 ,
Δ Φ B = 2 n 2 d sin 2 θ 2 n 1 cos θ 2 ( 2 π λ 1 2 π λ 0 ) ,
Δ Φ C = 2 n 2 d cos θ 2 ( 2 π λ 1 2 π λ 0 ) ,
ΔΦ = Δ Φ C Δ Φ B = 2 n 2 d cos θ 2 ( 2 π λ 1 2 π λ 0 ) ,
θ def = tan 1 [ ( ΔΦ k 1 ) BC ] = tan 1 [ ( λ 1 2 π ) 2 n 2 d cos θ 2 ( 2 π λ 1 2 π λ 0 ) a cos θ 1 ] ,
θ def = n 2 ( 2 d a ) 2 ( 2 d a ) 2 + 1 n 2 2 ( 1 λ 1 λ 0 ) ,
α a d n 2 = n 2 ( 2 d a ) 2 ( 2 d a ) 2 + 1 n 2 2 ,
θ def = α a d n 2 ( 1 λ 1 λ 0 ) .
θ x = α x ( 1 λ 1 λ 0 ) ,
θ y = α y ( 1 λ 1 λ 0 ) ,
α x = n 2 γ 2 γ 2 + 1 n 2 2 ,
α y = n 2 m 2 γ 2 m 2 γ 2 + 1 n 2 2 ,
α y = N α x ,
m = N 2 γ 2 + N 2 γ 2 + 4 N 2 ( γ 2 + 1 n 2 2 ) ( 1 n 2 2 ) 2 ( γ 2 + 1 n 2 2 ) .

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