Abstract

We propose a method for designing a diffractive beam splitter that enables the diffraction orders to be uniformly distributed within a required elliptic region. The performance of the designed optical element is demonstrated experimentally.

© 2012 Optical Society of America

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  1. D. C. O’Shea, T. J. Suleski, A. D. Kathman, and D. W. Prather, Diffractive Optics: Design, Fabrication, and Test (SPIE Press, 2003), Vol. TT62.
  2. I. G. Palchikova, A. M. Ryabchun, and G. A. Cherkov, “Diffractive optical beam splitters,” Comput. Opt. 16, 44–47 (1996) (in Russian).
  3. R. Borghi and G. Cincotti, “Diffractive variable beam splitter: optimal design,” J. Opt. Soc. Am. A 17, 63–67 (2000).
    [CrossRef]
  4. D. Feng, Y. Yan, G. Jin, and S. Fan, “Design and fabrication of continuous-profile diffractive micro-optical elements as a beam splitter,” Appl. Opt. 43, 5476–5480 (2004).
    [CrossRef]
  5. D. Gong, Z. Zhou, H. Liu, J. Wang, and H. Gao, “Two-dimensional higher-diffraction-order optical beam splitter based on henanthrenequinone-doped poly(methylmethacrylate) photopolymer,” Opt. Lasers Eng. 47, 662–666 (2009).
    [CrossRef]
  6. A. Hermerschmidt and S. Kruger, “Binary diffractive beam splitters with arbitrary diffraction angles,” Opt. Lett. 32, 448–450 (2007).
    [CrossRef]
  7. D. Friedrich, O. Burmeister, A. Bunkowski, T. Clausnitzer, S. Fahr, E.-B. Kley, A. Tünnermann, K. Danzmann, and R. Schnabel, “Diffractive beam splitter characterization via a power-recycled interferometer,” Opt. Lett. 33, 101–103 (2008).
    [CrossRef]
  8. S.-A. Chen, C.-H. Chen, Y.-C. Lin, M.-K. Lee, and S.-H. Liu, “Combination of diffractive shaper and splitter for multiple beam laser processing system,” in 2011 Conference on Lasers and Electro-Optics (IEEE, 2011), paper JMG4.
  9. M. I. Sverdlov, G. K. Zhukov, V. V. Logunov, N. I. Lata, L. S. Schwartz, S. I. Gusev, and D. A. Dubovitsky, “The laser system for aircraft landing,” Patent RF N 2369532 (10 October 2009) (in Russian).
  10. M. A. Golub, N. L. Kazanskii, A. M. Prokhorov, I. N. Sisakyan, and V. A. Soifer, “Synthesis of optical antennae,” Comput. Opt. 1, 25–28 (1989).
  11. P. Bharadwaj, B. Deutsch, and L. Novotny, “Optical antennas,” Adv. Opt. Photon. 1, 438–483 (2009).
    [CrossRef]
  12. N. L. Kazanskiy, “DOE-based lighting devices” in Methods for Computer Design of Diffractive Optical Elements, V. A. Soifer, ed. (Wiley, 2002), pp. 651–671.
  13. N. L. Kazanskiy, S. I. Kharitonov, V. A. Soifer, and A. V. Volkov, “Investigation of lighting devices based on diffractive optical elements,” Optical Memory and Neural Networks 9, 301–312 ( 2000).
  14. N. L. Kazanskiy, V. A. Soifer, S. I. Kharitonov, and P. Perlo, “A DOE to form a line-shaped directivity diagram,” J. Mod. Opt. 51, 1999–2005 (2004).
    [CrossRef]
  15. J.-H. Song, J. Shin, H.-J. Lim, and Y.-H. Lee, “Optical recoil of asymmetric nano-optical antenna,” Opt. Express 19, 14929–14936 (2011).
    [CrossRef]
  16. M. A. Golub, L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, I. N. Sisakian, and V. A. Soifer, “Focusators at letters diffraction design,” Proc. SPIE 1500, 211–221 (1991).
    [CrossRef]
  17. M. A. Golub, L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, and V. A. Soifer, “Computer generated diffractive multi-focal lens,” J. Mod. Opt. 39, 1245–1251 (1992).
    [CrossRef]
  18. M. A. Golub, L. L. Doskolovich, N. L. Kazanskii, V. A. Soifer, and S. I. Kharitonov, “Diffraction approach to the synthesis of multifunctional phase elements,” Opt. Spectrosc. 73, 111–113 (1992).
  19. V. A. Soifer, L. L. Doskolovich, and N. L. Kazanskiy, “Multifocal diffractive elements,” Opt. Eng. 33, 3610–3615 (1994).
    [CrossRef]
  20. L. L. Doskolovich, N. L. Kazanskiy, P. Perlo, P. Repetto, and V. A. Soifer, “Direct two-dimensional calculation of binary DOEs using a non-binary series expression approach,” Int. J. Optoelectron. 10, 243–250 (1995).
  21. M. Duparre, M. A. Golub, B. Ludge, V. S. Pavelyev, V. A. Soifer, G. V. Uspleniev, and S. G. Volotovskii, “Investigation of computer-generated diffractive beam shapers for flattening of single-modal CO2 laser beams,” Appl. Opt. 34, 2489–2497 (1995).
    [CrossRef]
  22. L. L. Doskolovich, N. L. Kazanskiy, and V. A. Soifer, “Calculation of binary diffractive optical elements for focusing to a given two-dimensional region,” Optoelectron. Instrum. Data Process. 5, 38–45 (1995).
  23. L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, and V. A. Soifer, “A method of designing diffractive optical elements focusing into plane areas,” J. Mod. Opt. 43, 1423–1433(1996).
    [CrossRef]
  24. L. L. Doskolovich, N. L. Kazanskiy, and E. V. Tyavin, “Designing binary diffraction gratings with etching wedge areas,” Optical Memory and Neural Networks 14, 91–96 (2005).
  25. D. L. Golovashkin, N. L. Kazanskiy, V. A. Soifer, V. S. Pavelyev, V. S. Solovyev, G. V. Usplenyev, and A. V. Volkov, “Technology of DOE Fabrication,” in Methods for Computer Design of Diffractive Optical Elements, V. A. Soifer, ed. (Wiley, 2002), pp. 267–345.
  26. S. N. Khonina, “DOE-aided experimental generation and selection of the Hermite-Gaussian modes,” Comput. Opt. 23, 15–22 (2002) (in Russian).
  27. R. V. Skidanov, S. N. Khonina, and V. V. Kotlyar, “Optical micromanipulation using a binary dynamic light modulator,” Comput. Opt. 32, 361–366 (2008) (in Russian).
  28. M. A. Golub, N. L. Kazanskii, I. N. Sisakyan, and V. A. Soifer, “Computational experiment with plane optical elements,” Optoelectron. Instrum. Data Process. 1, 78–89 (1988).
  29. N. L. Kazanskiy, “Mathematical simulation of optical systems” (Samara: “SSAU,” 2005) (in Russian).
  30. A. G. Poleshchuk, E. G. Churin, V. P. Koronkevich, V. P. Korolkov, A. A. Kharissov, V. V. Cherkashin, V. P. Kiryanov, A. V. Kiryanov, S. A. Kokarev, and A. G. Verhoglyad, “Polar coordinate laser pattern generator for fabrication of diffractive optical elements with arbitrary structure,” Appl. Opt. 38, 1295–1301 (1999).
    [CrossRef]

2011 (1)

2009 (2)

D. Gong, Z. Zhou, H. Liu, J. Wang, and H. Gao, “Two-dimensional higher-diffraction-order optical beam splitter based on henanthrenequinone-doped poly(methylmethacrylate) photopolymer,” Opt. Lasers Eng. 47, 662–666 (2009).
[CrossRef]

P. Bharadwaj, B. Deutsch, and L. Novotny, “Optical antennas,” Adv. Opt. Photon. 1, 438–483 (2009).
[CrossRef]

2008 (2)

D. Friedrich, O. Burmeister, A. Bunkowski, T. Clausnitzer, S. Fahr, E.-B. Kley, A. Tünnermann, K. Danzmann, and R. Schnabel, “Diffractive beam splitter characterization via a power-recycled interferometer,” Opt. Lett. 33, 101–103 (2008).
[CrossRef]

R. V. Skidanov, S. N. Khonina, and V. V. Kotlyar, “Optical micromanipulation using a binary dynamic light modulator,” Comput. Opt. 32, 361–366 (2008) (in Russian).

2007 (1)

2005 (1)

L. L. Doskolovich, N. L. Kazanskiy, and E. V. Tyavin, “Designing binary diffraction gratings with etching wedge areas,” Optical Memory and Neural Networks 14, 91–96 (2005).

2004 (2)

D. Feng, Y. Yan, G. Jin, and S. Fan, “Design and fabrication of continuous-profile diffractive micro-optical elements as a beam splitter,” Appl. Opt. 43, 5476–5480 (2004).
[CrossRef]

N. L. Kazanskiy, V. A. Soifer, S. I. Kharitonov, and P. Perlo, “A DOE to form a line-shaped directivity diagram,” J. Mod. Opt. 51, 1999–2005 (2004).
[CrossRef]

2002 (1)

S. N. Khonina, “DOE-aided experimental generation and selection of the Hermite-Gaussian modes,” Comput. Opt. 23, 15–22 (2002) (in Russian).

2000 (2)

R. Borghi and G. Cincotti, “Diffractive variable beam splitter: optimal design,” J. Opt. Soc. Am. A 17, 63–67 (2000).
[CrossRef]

N. L. Kazanskiy, S. I. Kharitonov, V. A. Soifer, and A. V. Volkov, “Investigation of lighting devices based on diffractive optical elements,” Optical Memory and Neural Networks 9, 301–312 ( 2000).

1999 (1)

1996 (2)

L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, and V. A. Soifer, “A method of designing diffractive optical elements focusing into plane areas,” J. Mod. Opt. 43, 1423–1433(1996).
[CrossRef]

I. G. Palchikova, A. M. Ryabchun, and G. A. Cherkov, “Diffractive optical beam splitters,” Comput. Opt. 16, 44–47 (1996) (in Russian).

1995 (3)

L. L. Doskolovich, N. L. Kazanskiy, P. Perlo, P. Repetto, and V. A. Soifer, “Direct two-dimensional calculation of binary DOEs using a non-binary series expression approach,” Int. J. Optoelectron. 10, 243–250 (1995).

M. Duparre, M. A. Golub, B. Ludge, V. S. Pavelyev, V. A. Soifer, G. V. Uspleniev, and S. G. Volotovskii, “Investigation of computer-generated diffractive beam shapers for flattening of single-modal CO2 laser beams,” Appl. Opt. 34, 2489–2497 (1995).
[CrossRef]

L. L. Doskolovich, N. L. Kazanskiy, and V. A. Soifer, “Calculation of binary diffractive optical elements for focusing to a given two-dimensional region,” Optoelectron. Instrum. Data Process. 5, 38–45 (1995).

1994 (1)

V. A. Soifer, L. L. Doskolovich, and N. L. Kazanskiy, “Multifocal diffractive elements,” Opt. Eng. 33, 3610–3615 (1994).
[CrossRef]

1992 (2)

M. A. Golub, L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, and V. A. Soifer, “Computer generated diffractive multi-focal lens,” J. Mod. Opt. 39, 1245–1251 (1992).
[CrossRef]

M. A. Golub, L. L. Doskolovich, N. L. Kazanskii, V. A. Soifer, and S. I. Kharitonov, “Diffraction approach to the synthesis of multifunctional phase elements,” Opt. Spectrosc. 73, 111–113 (1992).

1991 (1)

M. A. Golub, L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, I. N. Sisakian, and V. A. Soifer, “Focusators at letters diffraction design,” Proc. SPIE 1500, 211–221 (1991).
[CrossRef]

1989 (1)

M. A. Golub, N. L. Kazanskii, A. M. Prokhorov, I. N. Sisakyan, and V. A. Soifer, “Synthesis of optical antennae,” Comput. Opt. 1, 25–28 (1989).

1988 (1)

M. A. Golub, N. L. Kazanskii, I. N. Sisakyan, and V. A. Soifer, “Computational experiment with plane optical elements,” Optoelectron. Instrum. Data Process. 1, 78–89 (1988).

Bharadwaj, P.

Borghi, R.

Bunkowski, A.

Burmeister, O.

Chen, C.-H.

S.-A. Chen, C.-H. Chen, Y.-C. Lin, M.-K. Lee, and S.-H. Liu, “Combination of diffractive shaper and splitter for multiple beam laser processing system,” in 2011 Conference on Lasers and Electro-Optics (IEEE, 2011), paper JMG4.

Chen, S.-A.

S.-A. Chen, C.-H. Chen, Y.-C. Lin, M.-K. Lee, and S.-H. Liu, “Combination of diffractive shaper and splitter for multiple beam laser processing system,” in 2011 Conference on Lasers and Electro-Optics (IEEE, 2011), paper JMG4.

Cherkashin, V. V.

Cherkov, G. A.

I. G. Palchikova, A. M. Ryabchun, and G. A. Cherkov, “Diffractive optical beam splitters,” Comput. Opt. 16, 44–47 (1996) (in Russian).

Churin, E. G.

Cincotti, G.

Clausnitzer, T.

Danzmann, K.

Deutsch, B.

Doskolovich, L. L.

L. L. Doskolovich, N. L. Kazanskiy, and E. V. Tyavin, “Designing binary diffraction gratings with etching wedge areas,” Optical Memory and Neural Networks 14, 91–96 (2005).

L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, and V. A. Soifer, “A method of designing diffractive optical elements focusing into plane areas,” J. Mod. Opt. 43, 1423–1433(1996).
[CrossRef]

L. L. Doskolovich, N. L. Kazanskiy, and V. A. Soifer, “Calculation of binary diffractive optical elements for focusing to a given two-dimensional region,” Optoelectron. Instrum. Data Process. 5, 38–45 (1995).

L. L. Doskolovich, N. L. Kazanskiy, P. Perlo, P. Repetto, and V. A. Soifer, “Direct two-dimensional calculation of binary DOEs using a non-binary series expression approach,” Int. J. Optoelectron. 10, 243–250 (1995).

V. A. Soifer, L. L. Doskolovich, and N. L. Kazanskiy, “Multifocal diffractive elements,” Opt. Eng. 33, 3610–3615 (1994).
[CrossRef]

M. A. Golub, L. L. Doskolovich, N. L. Kazanskii, V. A. Soifer, and S. I. Kharitonov, “Diffraction approach to the synthesis of multifunctional phase elements,” Opt. Spectrosc. 73, 111–113 (1992).

M. A. Golub, L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, and V. A. Soifer, “Computer generated diffractive multi-focal lens,” J. Mod. Opt. 39, 1245–1251 (1992).
[CrossRef]

M. A. Golub, L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, I. N. Sisakian, and V. A. Soifer, “Focusators at letters diffraction design,” Proc. SPIE 1500, 211–221 (1991).
[CrossRef]

Dubovitsky, D. A.

M. I. Sverdlov, G. K. Zhukov, V. V. Logunov, N. I. Lata, L. S. Schwartz, S. I. Gusev, and D. A. Dubovitsky, “The laser system for aircraft landing,” Patent RF N 2369532 (10 October 2009) (in Russian).

Duparre, M.

Fahr, S.

Fan, S.

Feng, D.

Friedrich, D.

Gao, H.

D. Gong, Z. Zhou, H. Liu, J. Wang, and H. Gao, “Two-dimensional higher-diffraction-order optical beam splitter based on henanthrenequinone-doped poly(methylmethacrylate) photopolymer,” Opt. Lasers Eng. 47, 662–666 (2009).
[CrossRef]

Golovashkin, D. L.

D. L. Golovashkin, N. L. Kazanskiy, V. A. Soifer, V. S. Pavelyev, V. S. Solovyev, G. V. Usplenyev, and A. V. Volkov, “Technology of DOE Fabrication,” in Methods for Computer Design of Diffractive Optical Elements, V. A. Soifer, ed. (Wiley, 2002), pp. 267–345.

Golub, M. A.

M. Duparre, M. A. Golub, B. Ludge, V. S. Pavelyev, V. A. Soifer, G. V. Uspleniev, and S. G. Volotovskii, “Investigation of computer-generated diffractive beam shapers for flattening of single-modal CO2 laser beams,” Appl. Opt. 34, 2489–2497 (1995).
[CrossRef]

M. A. Golub, L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, and V. A. Soifer, “Computer generated diffractive multi-focal lens,” J. Mod. Opt. 39, 1245–1251 (1992).
[CrossRef]

M. A. Golub, L. L. Doskolovich, N. L. Kazanskii, V. A. Soifer, and S. I. Kharitonov, “Diffraction approach to the synthesis of multifunctional phase elements,” Opt. Spectrosc. 73, 111–113 (1992).

M. A. Golub, L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, I. N. Sisakian, and V. A. Soifer, “Focusators at letters diffraction design,” Proc. SPIE 1500, 211–221 (1991).
[CrossRef]

M. A. Golub, N. L. Kazanskii, A. M. Prokhorov, I. N. Sisakyan, and V. A. Soifer, “Synthesis of optical antennae,” Comput. Opt. 1, 25–28 (1989).

M. A. Golub, N. L. Kazanskii, I. N. Sisakyan, and V. A. Soifer, “Computational experiment with plane optical elements,” Optoelectron. Instrum. Data Process. 1, 78–89 (1988).

Gong, D.

D. Gong, Z. Zhou, H. Liu, J. Wang, and H. Gao, “Two-dimensional higher-diffraction-order optical beam splitter based on henanthrenequinone-doped poly(methylmethacrylate) photopolymer,” Opt. Lasers Eng. 47, 662–666 (2009).
[CrossRef]

Gusev, S. I.

M. I. Sverdlov, G. K. Zhukov, V. V. Logunov, N. I. Lata, L. S. Schwartz, S. I. Gusev, and D. A. Dubovitsky, “The laser system for aircraft landing,” Patent RF N 2369532 (10 October 2009) (in Russian).

Hermerschmidt, A.

Jin, G.

Kathman, A. D.

D. C. O’Shea, T. J. Suleski, A. D. Kathman, and D. W. Prather, Diffractive Optics: Design, Fabrication, and Test (SPIE Press, 2003), Vol. TT62.

Kazanskii, N. L.

M. A. Golub, L. L. Doskolovich, N. L. Kazanskii, V. A. Soifer, and S. I. Kharitonov, “Diffraction approach to the synthesis of multifunctional phase elements,” Opt. Spectrosc. 73, 111–113 (1992).

M. A. Golub, N. L. Kazanskii, A. M. Prokhorov, I. N. Sisakyan, and V. A. Soifer, “Synthesis of optical antennae,” Comput. Opt. 1, 25–28 (1989).

M. A. Golub, N. L. Kazanskii, I. N. Sisakyan, and V. A. Soifer, “Computational experiment with plane optical elements,” Optoelectron. Instrum. Data Process. 1, 78–89 (1988).

Kazanskiy, N. L.

L. L. Doskolovich, N. L. Kazanskiy, and E. V. Tyavin, “Designing binary diffraction gratings with etching wedge areas,” Optical Memory and Neural Networks 14, 91–96 (2005).

N. L. Kazanskiy, V. A. Soifer, S. I. Kharitonov, and P. Perlo, “A DOE to form a line-shaped directivity diagram,” J. Mod. Opt. 51, 1999–2005 (2004).
[CrossRef]

N. L. Kazanskiy, S. I. Kharitonov, V. A. Soifer, and A. V. Volkov, “Investigation of lighting devices based on diffractive optical elements,” Optical Memory and Neural Networks 9, 301–312 ( 2000).

L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, and V. A. Soifer, “A method of designing diffractive optical elements focusing into plane areas,” J. Mod. Opt. 43, 1423–1433(1996).
[CrossRef]

L. L. Doskolovich, N. L. Kazanskiy, and V. A. Soifer, “Calculation of binary diffractive optical elements for focusing to a given two-dimensional region,” Optoelectron. Instrum. Data Process. 5, 38–45 (1995).

L. L. Doskolovich, N. L. Kazanskiy, P. Perlo, P. Repetto, and V. A. Soifer, “Direct two-dimensional calculation of binary DOEs using a non-binary series expression approach,” Int. J. Optoelectron. 10, 243–250 (1995).

V. A. Soifer, L. L. Doskolovich, and N. L. Kazanskiy, “Multifocal diffractive elements,” Opt. Eng. 33, 3610–3615 (1994).
[CrossRef]

M. A. Golub, L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, and V. A. Soifer, “Computer generated diffractive multi-focal lens,” J. Mod. Opt. 39, 1245–1251 (1992).
[CrossRef]

M. A. Golub, L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, I. N. Sisakian, and V. A. Soifer, “Focusators at letters diffraction design,” Proc. SPIE 1500, 211–221 (1991).
[CrossRef]

N. L. Kazanskiy, “DOE-based lighting devices” in Methods for Computer Design of Diffractive Optical Elements, V. A. Soifer, ed. (Wiley, 2002), pp. 651–671.

D. L. Golovashkin, N. L. Kazanskiy, V. A. Soifer, V. S. Pavelyev, V. S. Solovyev, G. V. Usplenyev, and A. V. Volkov, “Technology of DOE Fabrication,” in Methods for Computer Design of Diffractive Optical Elements, V. A. Soifer, ed. (Wiley, 2002), pp. 267–345.

N. L. Kazanskiy, “Mathematical simulation of optical systems” (Samara: “SSAU,” 2005) (in Russian).

Kharissov, A. A.

Kharitonov, S. I.

N. L. Kazanskiy, V. A. Soifer, S. I. Kharitonov, and P. Perlo, “A DOE to form a line-shaped directivity diagram,” J. Mod. Opt. 51, 1999–2005 (2004).
[CrossRef]

N. L. Kazanskiy, S. I. Kharitonov, V. A. Soifer, and A. V. Volkov, “Investigation of lighting devices based on diffractive optical elements,” Optical Memory and Neural Networks 9, 301–312 ( 2000).

L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, and V. A. Soifer, “A method of designing diffractive optical elements focusing into plane areas,” J. Mod. Opt. 43, 1423–1433(1996).
[CrossRef]

M. A. Golub, L. L. Doskolovich, N. L. Kazanskii, V. A. Soifer, and S. I. Kharitonov, “Diffraction approach to the synthesis of multifunctional phase elements,” Opt. Spectrosc. 73, 111–113 (1992).

M. A. Golub, L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, and V. A. Soifer, “Computer generated diffractive multi-focal lens,” J. Mod. Opt. 39, 1245–1251 (1992).
[CrossRef]

M. A. Golub, L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, I. N. Sisakian, and V. A. Soifer, “Focusators at letters diffraction design,” Proc. SPIE 1500, 211–221 (1991).
[CrossRef]

Khonina, S. N.

R. V. Skidanov, S. N. Khonina, and V. V. Kotlyar, “Optical micromanipulation using a binary dynamic light modulator,” Comput. Opt. 32, 361–366 (2008) (in Russian).

S. N. Khonina, “DOE-aided experimental generation and selection of the Hermite-Gaussian modes,” Comput. Opt. 23, 15–22 (2002) (in Russian).

Kiryanov, A. V.

Kiryanov, V. P.

Kley, E.-B.

Kokarev, S. A.

Korolkov, V. P.

Koronkevich, V. P.

Kotlyar, V. V.

R. V. Skidanov, S. N. Khonina, and V. V. Kotlyar, “Optical micromanipulation using a binary dynamic light modulator,” Comput. Opt. 32, 361–366 (2008) (in Russian).

Kruger, S.

Lata, N. I.

M. I. Sverdlov, G. K. Zhukov, V. V. Logunov, N. I. Lata, L. S. Schwartz, S. I. Gusev, and D. A. Dubovitsky, “The laser system for aircraft landing,” Patent RF N 2369532 (10 October 2009) (in Russian).

Lee, M.-K.

S.-A. Chen, C.-H. Chen, Y.-C. Lin, M.-K. Lee, and S.-H. Liu, “Combination of diffractive shaper and splitter for multiple beam laser processing system,” in 2011 Conference on Lasers and Electro-Optics (IEEE, 2011), paper JMG4.

Lee, Y.-H.

Lim, H.-J.

Lin, Y.-C.

S.-A. Chen, C.-H. Chen, Y.-C. Lin, M.-K. Lee, and S.-H. Liu, “Combination of diffractive shaper and splitter for multiple beam laser processing system,” in 2011 Conference on Lasers and Electro-Optics (IEEE, 2011), paper JMG4.

Liu, H.

D. Gong, Z. Zhou, H. Liu, J. Wang, and H. Gao, “Two-dimensional higher-diffraction-order optical beam splitter based on henanthrenequinone-doped poly(methylmethacrylate) photopolymer,” Opt. Lasers Eng. 47, 662–666 (2009).
[CrossRef]

Liu, S.-H.

S.-A. Chen, C.-H. Chen, Y.-C. Lin, M.-K. Lee, and S.-H. Liu, “Combination of diffractive shaper and splitter for multiple beam laser processing system,” in 2011 Conference on Lasers and Electro-Optics (IEEE, 2011), paper JMG4.

Logunov, V. V.

M. I. Sverdlov, G. K. Zhukov, V. V. Logunov, N. I. Lata, L. S. Schwartz, S. I. Gusev, and D. A. Dubovitsky, “The laser system for aircraft landing,” Patent RF N 2369532 (10 October 2009) (in Russian).

Ludge, B.

Novotny, L.

O’Shea, D. C.

D. C. O’Shea, T. J. Suleski, A. D. Kathman, and D. W. Prather, Diffractive Optics: Design, Fabrication, and Test (SPIE Press, 2003), Vol. TT62.

Palchikova, I. G.

I. G. Palchikova, A. M. Ryabchun, and G. A. Cherkov, “Diffractive optical beam splitters,” Comput. Opt. 16, 44–47 (1996) (in Russian).

Pavelyev, V. S.

M. Duparre, M. A. Golub, B. Ludge, V. S. Pavelyev, V. A. Soifer, G. V. Uspleniev, and S. G. Volotovskii, “Investigation of computer-generated diffractive beam shapers for flattening of single-modal CO2 laser beams,” Appl. Opt. 34, 2489–2497 (1995).
[CrossRef]

D. L. Golovashkin, N. L. Kazanskiy, V. A. Soifer, V. S. Pavelyev, V. S. Solovyev, G. V. Usplenyev, and A. V. Volkov, “Technology of DOE Fabrication,” in Methods for Computer Design of Diffractive Optical Elements, V. A. Soifer, ed. (Wiley, 2002), pp. 267–345.

Perlo, P.

N. L. Kazanskiy, V. A. Soifer, S. I. Kharitonov, and P. Perlo, “A DOE to form a line-shaped directivity diagram,” J. Mod. Opt. 51, 1999–2005 (2004).
[CrossRef]

L. L. Doskolovich, N. L. Kazanskiy, P. Perlo, P. Repetto, and V. A. Soifer, “Direct two-dimensional calculation of binary DOEs using a non-binary series expression approach,” Int. J. Optoelectron. 10, 243–250 (1995).

Poleshchuk, A. G.

Prather, D. W.

D. C. O’Shea, T. J. Suleski, A. D. Kathman, and D. W. Prather, Diffractive Optics: Design, Fabrication, and Test (SPIE Press, 2003), Vol. TT62.

Prokhorov, A. M.

M. A. Golub, N. L. Kazanskii, A. M. Prokhorov, I. N. Sisakyan, and V. A. Soifer, “Synthesis of optical antennae,” Comput. Opt. 1, 25–28 (1989).

Repetto, P.

L. L. Doskolovich, N. L. Kazanskiy, P. Perlo, P. Repetto, and V. A. Soifer, “Direct two-dimensional calculation of binary DOEs using a non-binary series expression approach,” Int. J. Optoelectron. 10, 243–250 (1995).

Ryabchun, A. M.

I. G. Palchikova, A. M. Ryabchun, and G. A. Cherkov, “Diffractive optical beam splitters,” Comput. Opt. 16, 44–47 (1996) (in Russian).

Schnabel, R.

Schwartz, L. S.

M. I. Sverdlov, G. K. Zhukov, V. V. Logunov, N. I. Lata, L. S. Schwartz, S. I. Gusev, and D. A. Dubovitsky, “The laser system for aircraft landing,” Patent RF N 2369532 (10 October 2009) (in Russian).

Shin, J.

Sisakian, I. N.

M. A. Golub, L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, I. N. Sisakian, and V. A. Soifer, “Focusators at letters diffraction design,” Proc. SPIE 1500, 211–221 (1991).
[CrossRef]

Sisakyan, I. N.

M. A. Golub, N. L. Kazanskii, A. M. Prokhorov, I. N. Sisakyan, and V. A. Soifer, “Synthesis of optical antennae,” Comput. Opt. 1, 25–28 (1989).

M. A. Golub, N. L. Kazanskii, I. N. Sisakyan, and V. A. Soifer, “Computational experiment with plane optical elements,” Optoelectron. Instrum. Data Process. 1, 78–89 (1988).

Skidanov, R. V.

R. V. Skidanov, S. N. Khonina, and V. V. Kotlyar, “Optical micromanipulation using a binary dynamic light modulator,” Comput. Opt. 32, 361–366 (2008) (in Russian).

Soifer, V. A.

N. L. Kazanskiy, V. A. Soifer, S. I. Kharitonov, and P. Perlo, “A DOE to form a line-shaped directivity diagram,” J. Mod. Opt. 51, 1999–2005 (2004).
[CrossRef]

N. L. Kazanskiy, S. I. Kharitonov, V. A. Soifer, and A. V. Volkov, “Investigation of lighting devices based on diffractive optical elements,” Optical Memory and Neural Networks 9, 301–312 ( 2000).

L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, and V. A. Soifer, “A method of designing diffractive optical elements focusing into plane areas,” J. Mod. Opt. 43, 1423–1433(1996).
[CrossRef]

L. L. Doskolovich, N. L. Kazanskiy, and V. A. Soifer, “Calculation of binary diffractive optical elements for focusing to a given two-dimensional region,” Optoelectron. Instrum. Data Process. 5, 38–45 (1995).

L. L. Doskolovich, N. L. Kazanskiy, P. Perlo, P. Repetto, and V. A. Soifer, “Direct two-dimensional calculation of binary DOEs using a non-binary series expression approach,” Int. J. Optoelectron. 10, 243–250 (1995).

M. Duparre, M. A. Golub, B. Ludge, V. S. Pavelyev, V. A. Soifer, G. V. Uspleniev, and S. G. Volotovskii, “Investigation of computer-generated diffractive beam shapers for flattening of single-modal CO2 laser beams,” Appl. Opt. 34, 2489–2497 (1995).
[CrossRef]

V. A. Soifer, L. L. Doskolovich, and N. L. Kazanskiy, “Multifocal diffractive elements,” Opt. Eng. 33, 3610–3615 (1994).
[CrossRef]

M. A. Golub, L. L. Doskolovich, N. L. Kazanskii, V. A. Soifer, and S. I. Kharitonov, “Diffraction approach to the synthesis of multifunctional phase elements,” Opt. Spectrosc. 73, 111–113 (1992).

M. A. Golub, L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, and V. A. Soifer, “Computer generated diffractive multi-focal lens,” J. Mod. Opt. 39, 1245–1251 (1992).
[CrossRef]

M. A. Golub, L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, I. N. Sisakian, and V. A. Soifer, “Focusators at letters diffraction design,” Proc. SPIE 1500, 211–221 (1991).
[CrossRef]

M. A. Golub, N. L. Kazanskii, A. M. Prokhorov, I. N. Sisakyan, and V. A. Soifer, “Synthesis of optical antennae,” Comput. Opt. 1, 25–28 (1989).

M. A. Golub, N. L. Kazanskii, I. N. Sisakyan, and V. A. Soifer, “Computational experiment with plane optical elements,” Optoelectron. Instrum. Data Process. 1, 78–89 (1988).

D. L. Golovashkin, N. L. Kazanskiy, V. A. Soifer, V. S. Pavelyev, V. S. Solovyev, G. V. Usplenyev, and A. V. Volkov, “Technology of DOE Fabrication,” in Methods for Computer Design of Diffractive Optical Elements, V. A. Soifer, ed. (Wiley, 2002), pp. 267–345.

Solovyev, V. S.

D. L. Golovashkin, N. L. Kazanskiy, V. A. Soifer, V. S. Pavelyev, V. S. Solovyev, G. V. Usplenyev, and A. V. Volkov, “Technology of DOE Fabrication,” in Methods for Computer Design of Diffractive Optical Elements, V. A. Soifer, ed. (Wiley, 2002), pp. 267–345.

Song, J.-H.

Suleski, T. J.

D. C. O’Shea, T. J. Suleski, A. D. Kathman, and D. W. Prather, Diffractive Optics: Design, Fabrication, and Test (SPIE Press, 2003), Vol. TT62.

Sverdlov, M. I.

M. I. Sverdlov, G. K. Zhukov, V. V. Logunov, N. I. Lata, L. S. Schwartz, S. I. Gusev, and D. A. Dubovitsky, “The laser system for aircraft landing,” Patent RF N 2369532 (10 October 2009) (in Russian).

Tünnermann, A.

Tyavin, E. V.

L. L. Doskolovich, N. L. Kazanskiy, and E. V. Tyavin, “Designing binary diffraction gratings with etching wedge areas,” Optical Memory and Neural Networks 14, 91–96 (2005).

Uspleniev, G. V.

Usplenyev, G. V.

D. L. Golovashkin, N. L. Kazanskiy, V. A. Soifer, V. S. Pavelyev, V. S. Solovyev, G. V. Usplenyev, and A. V. Volkov, “Technology of DOE Fabrication,” in Methods for Computer Design of Diffractive Optical Elements, V. A. Soifer, ed. (Wiley, 2002), pp. 267–345.

Verhoglyad, A. G.

Volkov, A. V.

N. L. Kazanskiy, S. I. Kharitonov, V. A. Soifer, and A. V. Volkov, “Investigation of lighting devices based on diffractive optical elements,” Optical Memory and Neural Networks 9, 301–312 ( 2000).

D. L. Golovashkin, N. L. Kazanskiy, V. A. Soifer, V. S. Pavelyev, V. S. Solovyev, G. V. Usplenyev, and A. V. Volkov, “Technology of DOE Fabrication,” in Methods for Computer Design of Diffractive Optical Elements, V. A. Soifer, ed. (Wiley, 2002), pp. 267–345.

Volotovskii, S. G.

Wang, J.

D. Gong, Z. Zhou, H. Liu, J. Wang, and H. Gao, “Two-dimensional higher-diffraction-order optical beam splitter based on henanthrenequinone-doped poly(methylmethacrylate) photopolymer,” Opt. Lasers Eng. 47, 662–666 (2009).
[CrossRef]

Yan, Y.

Zhou, Z.

D. Gong, Z. Zhou, H. Liu, J. Wang, and H. Gao, “Two-dimensional higher-diffraction-order optical beam splitter based on henanthrenequinone-doped poly(methylmethacrylate) photopolymer,” Opt. Lasers Eng. 47, 662–666 (2009).
[CrossRef]

Zhukov, G. K.

M. I. Sverdlov, G. K. Zhukov, V. V. Logunov, N. I. Lata, L. S. Schwartz, S. I. Gusev, and D. A. Dubovitsky, “The laser system for aircraft landing,” Patent RF N 2369532 (10 October 2009) (in Russian).

Adv. Opt. Photon. (1)

Appl. Opt. (3)

Comput. Opt. (4)

S. N. Khonina, “DOE-aided experimental generation and selection of the Hermite-Gaussian modes,” Comput. Opt. 23, 15–22 (2002) (in Russian).

R. V. Skidanov, S. N. Khonina, and V. V. Kotlyar, “Optical micromanipulation using a binary dynamic light modulator,” Comput. Opt. 32, 361–366 (2008) (in Russian).

I. G. Palchikova, A. M. Ryabchun, and G. A. Cherkov, “Diffractive optical beam splitters,” Comput. Opt. 16, 44–47 (1996) (in Russian).

M. A. Golub, N. L. Kazanskii, A. M. Prokhorov, I. N. Sisakyan, and V. A. Soifer, “Synthesis of optical antennae,” Comput. Opt. 1, 25–28 (1989).

Int. J. Optoelectron. (1)

L. L. Doskolovich, N. L. Kazanskiy, P. Perlo, P. Repetto, and V. A. Soifer, “Direct two-dimensional calculation of binary DOEs using a non-binary series expression approach,” Int. J. Optoelectron. 10, 243–250 (1995).

J. Mod. Opt. (3)

L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, and V. A. Soifer, “A method of designing diffractive optical elements focusing into plane areas,” J. Mod. Opt. 43, 1423–1433(1996).
[CrossRef]

N. L. Kazanskiy, V. A. Soifer, S. I. Kharitonov, and P. Perlo, “A DOE to form a line-shaped directivity diagram,” J. Mod. Opt. 51, 1999–2005 (2004).
[CrossRef]

M. A. Golub, L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, and V. A. Soifer, “Computer generated diffractive multi-focal lens,” J. Mod. Opt. 39, 1245–1251 (1992).
[CrossRef]

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

Opt. Eng. (1)

V. A. Soifer, L. L. Doskolovich, and N. L. Kazanskiy, “Multifocal diffractive elements,” Opt. Eng. 33, 3610–3615 (1994).
[CrossRef]

Opt. Express (1)

Opt. Lasers Eng. (1)

D. Gong, Z. Zhou, H. Liu, J. Wang, and H. Gao, “Two-dimensional higher-diffraction-order optical beam splitter based on henanthrenequinone-doped poly(methylmethacrylate) photopolymer,” Opt. Lasers Eng. 47, 662–666 (2009).
[CrossRef]

Opt. Lett. (2)

Opt. Spectrosc. (1)

M. A. Golub, L. L. Doskolovich, N. L. Kazanskii, V. A. Soifer, and S. I. Kharitonov, “Diffraction approach to the synthesis of multifunctional phase elements,” Opt. Spectrosc. 73, 111–113 (1992).

Optical Memory and Neural Networks (2)

N. L. Kazanskiy, S. I. Kharitonov, V. A. Soifer, and A. V. Volkov, “Investigation of lighting devices based on diffractive optical elements,” Optical Memory and Neural Networks 9, 301–312 ( 2000).

L. L. Doskolovich, N. L. Kazanskiy, and E. V. Tyavin, “Designing binary diffraction gratings with etching wedge areas,” Optical Memory and Neural Networks 14, 91–96 (2005).

Optoelectron. Instrum. Data Process. (2)

L. L. Doskolovich, N. L. Kazanskiy, and V. A. Soifer, “Calculation of binary diffractive optical elements for focusing to a given two-dimensional region,” Optoelectron. Instrum. Data Process. 5, 38–45 (1995).

M. A. Golub, N. L. Kazanskii, I. N. Sisakyan, and V. A. Soifer, “Computational experiment with plane optical elements,” Optoelectron. Instrum. Data Process. 1, 78–89 (1988).

Proc. SPIE (1)

M. A. Golub, L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, I. N. Sisakian, and V. A. Soifer, “Focusators at letters diffraction design,” Proc. SPIE 1500, 211–221 (1991).
[CrossRef]

Other (6)

N. L. Kazanskiy, “DOE-based lighting devices” in Methods for Computer Design of Diffractive Optical Elements, V. A. Soifer, ed. (Wiley, 2002), pp. 651–671.

S.-A. Chen, C.-H. Chen, Y.-C. Lin, M.-K. Lee, and S.-H. Liu, “Combination of diffractive shaper and splitter for multiple beam laser processing system,” in 2011 Conference on Lasers and Electro-Optics (IEEE, 2011), paper JMG4.

M. I. Sverdlov, G. K. Zhukov, V. V. Logunov, N. I. Lata, L. S. Schwartz, S. I. Gusev, and D. A. Dubovitsky, “The laser system for aircraft landing,” Patent RF N 2369532 (10 October 2009) (in Russian).

D. C. O’Shea, T. J. Suleski, A. D. Kathman, and D. W. Prather, Diffractive Optics: Design, Fabrication, and Test (SPIE Press, 2003), Vol. TT62.

N. L. Kazanskiy, “Mathematical simulation of optical systems” (Samara: “SSAU,” 2005) (in Russian).

D. L. Golovashkin, N. L. Kazanskiy, V. A. Soifer, V. S. Pavelyev, V. S. Solovyev, G. V. Usplenyev, and A. V. Volkov, “Technology of DOE Fabrication,” in Methods for Computer Design of Diffractive Optical Elements, V. A. Soifer, ed. (Wiley, 2002), pp. 267–345.

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Figures (8)

Fig. 1.
Fig. 1.

Approximate arrangement of diffraction orders within an elliptic region.

Fig. 2.
Fig. 2.

DOE-aided generation of (a) 12, (b) 50, and (c) 150 diffraction orders.

Fig. 3.
Fig. 3.

(а) DOE used to form radially arranged diffraction orders within an elliptic region. (b) The simulated intensity distribution for the far-field diffraction.

Fig. 4.
Fig. 4.

(a) DOE used to form radially arranged complementary diffraction orders. (b) Simulated intensity distribution for the far-field diffraction.

Fig. 5.
Fig. 5.

Intensity distribution 4 m away from the modulator.

Fig. 6.
Fig. 6.

Experimental optical arrangement for the registration of the resulting diffraction orders.

Fig. 7.
Fig. 7.

Intensity distributions generated at a distance of 4 m from the DOE, with the incident light from (a) the solid-state laser of wavelength 532 nm, and (b) the He-Ne laser of wavelength 633 nm.

Fig. 8.
Fig. 8.

Intensity distribution generated 4 m away from the phase DOE.

Equations (4)

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

τ(x,y)=m=0Mn=0NCmnexp(iΦmn(x,y))exp(iωmnxx+iωmnyy),
xmn=λzωmnx2π,ymn=λzωmny2π,
τb(x,y)=arg{τ(x,y)+τ*(x,y)},
xmn=λzωmnx2π,ymn=λzωmny2π,

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