Abstract

This paper discusses a nontraditional optical shaping system for generating extended plasma channels in the atmosphere, using pulsed CO<sub>2</sub> lasers and consisting of a convex mirror axicon with a rectilinear generatrix and a retranslating layout composed of two spherical optical elements. The system makes it possible to form the waist of a Bessel beam at a significant distance from the axicon. An analytical model is proposed for designing the developed optical system.

© 2008 Optical Society of America

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  1. M. F. Borisov, V. M. Gromovenko, V. A. Lapshin, Yu. A. Rezunkov, V. P. Savel'eva, and V. V. Stepanov, “Long laser spark for controlling the trajectory of an atmospheric electric discharge,” Opt. Zh. 66, No. 3, 40 (1999) M. F. Borisov, V. M. Gromovenko, V. A. Lapshin, Yu. A. Rezunkov, V. P. Savel'eva, and V. V. Stepanov,[J. Opt. Technol. 66, 203 (1999)].
  2. A. Bakhari and V. D. Taranukhin, “Laser acceleration of electrons in vacuum to an energy of ~109eV,” Kvantovaya Elektron. (Moscow) 34, 129 (2004) A. Bakhari and V. D. Taranukhin,[Quantum Electron. 34, 129 (2004)].
  3. V. V. Apollonov, K. N. Firsov, S. Yu. Kazantsev, I. G. Kononov, D. M. Polyakov, A. V. Safulin, and L. M. Vasilyak, “Continuous long laser spark produced with conical mirror and CO2 laser,” Proc. SPIE 5120, 631 (2003).
  4. L. N. Pyatnitskiĭ, “Inhomogeneities of a laser spark in beams with compensation of the diffraction divergence,” Prikl. Fiz. No. 1, 55 (2003).
  5. A. A. Ageichik, V. N. Alekseev, V. M. Gromovenko, V. I. Koroljev, A. N. Malinin, Yu. A. Rezunkov, V. P. Savelieva, G. A. Sokolova, V. V. Stepanov, A. G. Baranov, A. A. Kuchinsky, and P. V. Tomashevich, “Creation of the terawatt picosecond CO2 laser,” in Program of the Conference on Laser Optics. St. Petersburg, June 26-30, 2006.
  6. V. P. Savel'eva, “Optical shaping systems for generating a long laser spark,” Opt. Zh. 66, No. 3, 54 (1999) V. P. Savel'eva,[J. Opt. Technol. 66, 215 (1999)].
  7. A. Gerrard and J. M. Burch, Introduction to Matrix Methods in Optics (Wiley, New York, 1975; Mir, Moscow, 1978).
  8. Yu. A. Anan'ev, Optical Cavities and Laser Beams (Nauka, Moscow, 1990).
  9. A. Thaning, Z. Jaroszewicz, and A. T. Friberg, “Diffractive axicons in oblique illumination: analysis and experiments and comparison with elliptical axicons,” Appl. Opt. 42, 9 (2003).
    [CrossRef]

2004 (1)

A. Bakhari and V. D. Taranukhin, “Laser acceleration of electrons in vacuum to an energy of ~109eV,” Kvantovaya Elektron. (Moscow) 34, 129 (2004) A. Bakhari and V. D. Taranukhin,[Quantum Electron. 34, 129 (2004)].

2003 (2)

V. V. Apollonov, K. N. Firsov, S. Yu. Kazantsev, I. G. Kononov, D. M. Polyakov, A. V. Safulin, and L. M. Vasilyak, “Continuous long laser spark produced with conical mirror and CO2 laser,” Proc. SPIE 5120, 631 (2003).

A. Thaning, Z. Jaroszewicz, and A. T. Friberg, “Diffractive axicons in oblique illumination: analysis and experiments and comparison with elliptical axicons,” Appl. Opt. 42, 9 (2003).
[CrossRef]

1999 (2)

M. F. Borisov, V. M. Gromovenko, V. A. Lapshin, Yu. A. Rezunkov, V. P. Savel'eva, and V. V. Stepanov, “Long laser spark for controlling the trajectory of an atmospheric electric discharge,” Opt. Zh. 66, No. 3, 40 (1999) M. F. Borisov, V. M. Gromovenko, V. A. Lapshin, Yu. A. Rezunkov, V. P. Savel'eva, and V. V. Stepanov,[J. Opt. Technol. 66, 203 (1999)].

V. P. Savel'eva, “Optical shaping systems for generating a long laser spark,” Opt. Zh. 66, No. 3, 54 (1999) V. P. Savel'eva,[J. Opt. Technol. 66, 215 (1999)].

Ageichik, A. A.

A. A. Ageichik, V. N. Alekseev, V. M. Gromovenko, V. I. Koroljev, A. N. Malinin, Yu. A. Rezunkov, V. P. Savelieva, G. A. Sokolova, V. V. Stepanov, A. G. Baranov, A. A. Kuchinsky, and P. V. Tomashevich, “Creation of the terawatt picosecond CO2 laser,” in Program of the Conference on Laser Optics. St. Petersburg, June 26-30, 2006.

Alekseev, V. N.

A. A. Ageichik, V. N. Alekseev, V. M. Gromovenko, V. I. Koroljev, A. N. Malinin, Yu. A. Rezunkov, V. P. Savelieva, G. A. Sokolova, V. V. Stepanov, A. G. Baranov, A. A. Kuchinsky, and P. V. Tomashevich, “Creation of the terawatt picosecond CO2 laser,” in Program of the Conference on Laser Optics. St. Petersburg, June 26-30, 2006.

Anan'ev, Yu. A.

Yu. A. Anan'ev, Optical Cavities and Laser Beams (Nauka, Moscow, 1990).

Apollonov, V. V.

V. V. Apollonov, K. N. Firsov, S. Yu. Kazantsev, I. G. Kononov, D. M. Polyakov, A. V. Safulin, and L. M. Vasilyak, “Continuous long laser spark produced with conical mirror and CO2 laser,” Proc. SPIE 5120, 631 (2003).

Bakhari, A.

A. Bakhari and V. D. Taranukhin, “Laser acceleration of electrons in vacuum to an energy of ~109eV,” Kvantovaya Elektron. (Moscow) 34, 129 (2004) A. Bakhari and V. D. Taranukhin,[Quantum Electron. 34, 129 (2004)].

Baranov, A. G.

A. A. Ageichik, V. N. Alekseev, V. M. Gromovenko, V. I. Koroljev, A. N. Malinin, Yu. A. Rezunkov, V. P. Savelieva, G. A. Sokolova, V. V. Stepanov, A. G. Baranov, A. A. Kuchinsky, and P. V. Tomashevich, “Creation of the terawatt picosecond CO2 laser,” in Program of the Conference on Laser Optics. St. Petersburg, June 26-30, 2006.

Borisov, M. F.

M. F. Borisov, V. M. Gromovenko, V. A. Lapshin, Yu. A. Rezunkov, V. P. Savel'eva, and V. V. Stepanov, “Long laser spark for controlling the trajectory of an atmospheric electric discharge,” Opt. Zh. 66, No. 3, 40 (1999) M. F. Borisov, V. M. Gromovenko, V. A. Lapshin, Yu. A. Rezunkov, V. P. Savel'eva, and V. V. Stepanov,[J. Opt. Technol. 66, 203 (1999)].

Burch, J. M.

A. Gerrard and J. M. Burch, Introduction to Matrix Methods in Optics (Wiley, New York, 1975; Mir, Moscow, 1978).

Firsov, K. N.

V. V. Apollonov, K. N. Firsov, S. Yu. Kazantsev, I. G. Kononov, D. M. Polyakov, A. V. Safulin, and L. M. Vasilyak, “Continuous long laser spark produced with conical mirror and CO2 laser,” Proc. SPIE 5120, 631 (2003).

Friberg, A. T.

Gerrard, A.

A. Gerrard and J. M. Burch, Introduction to Matrix Methods in Optics (Wiley, New York, 1975; Mir, Moscow, 1978).

Gromovenko, V. M.

M. F. Borisov, V. M. Gromovenko, V. A. Lapshin, Yu. A. Rezunkov, V. P. Savel'eva, and V. V. Stepanov, “Long laser spark for controlling the trajectory of an atmospheric electric discharge,” Opt. Zh. 66, No. 3, 40 (1999) M. F. Borisov, V. M. Gromovenko, V. A. Lapshin, Yu. A. Rezunkov, V. P. Savel'eva, and V. V. Stepanov,[J. Opt. Technol. 66, 203 (1999)].

A. A. Ageichik, V. N. Alekseev, V. M. Gromovenko, V. I. Koroljev, A. N. Malinin, Yu. A. Rezunkov, V. P. Savelieva, G. A. Sokolova, V. V. Stepanov, A. G. Baranov, A. A. Kuchinsky, and P. V. Tomashevich, “Creation of the terawatt picosecond CO2 laser,” in Program of the Conference on Laser Optics. St. Petersburg, June 26-30, 2006.

Jaroszewicz, Z.

Kazantsev, S. Yu.

V. V. Apollonov, K. N. Firsov, S. Yu. Kazantsev, I. G. Kononov, D. M. Polyakov, A. V. Safulin, and L. M. Vasilyak, “Continuous long laser spark produced with conical mirror and CO2 laser,” Proc. SPIE 5120, 631 (2003).

Kononov, I. G.

V. V. Apollonov, K. N. Firsov, S. Yu. Kazantsev, I. G. Kononov, D. M. Polyakov, A. V. Safulin, and L. M. Vasilyak, “Continuous long laser spark produced with conical mirror and CO2 laser,” Proc. SPIE 5120, 631 (2003).

Koroljev, V. I.

A. A. Ageichik, V. N. Alekseev, V. M. Gromovenko, V. I. Koroljev, A. N. Malinin, Yu. A. Rezunkov, V. P. Savelieva, G. A. Sokolova, V. V. Stepanov, A. G. Baranov, A. A. Kuchinsky, and P. V. Tomashevich, “Creation of the terawatt picosecond CO2 laser,” in Program of the Conference on Laser Optics. St. Petersburg, June 26-30, 2006.

Kuchinsky, A. A.

A. A. Ageichik, V. N. Alekseev, V. M. Gromovenko, V. I. Koroljev, A. N. Malinin, Yu. A. Rezunkov, V. P. Savelieva, G. A. Sokolova, V. V. Stepanov, A. G. Baranov, A. A. Kuchinsky, and P. V. Tomashevich, “Creation of the terawatt picosecond CO2 laser,” in Program of the Conference on Laser Optics. St. Petersburg, June 26-30, 2006.

Lapshin, V. A.

M. F. Borisov, V. M. Gromovenko, V. A. Lapshin, Yu. A. Rezunkov, V. P. Savel'eva, and V. V. Stepanov, “Long laser spark for controlling the trajectory of an atmospheric electric discharge,” Opt. Zh. 66, No. 3, 40 (1999) M. F. Borisov, V. M. Gromovenko, V. A. Lapshin, Yu. A. Rezunkov, V. P. Savel'eva, and V. V. Stepanov,[J. Opt. Technol. 66, 203 (1999)].

Malinin, A. N.

A. A. Ageichik, V. N. Alekseev, V. M. Gromovenko, V. I. Koroljev, A. N. Malinin, Yu. A. Rezunkov, V. P. Savelieva, G. A. Sokolova, V. V. Stepanov, A. G. Baranov, A. A. Kuchinsky, and P. V. Tomashevich, “Creation of the terawatt picosecond CO2 laser,” in Program of the Conference on Laser Optics. St. Petersburg, June 26-30, 2006.

Polyakov, D. M.

V. V. Apollonov, K. N. Firsov, S. Yu. Kazantsev, I. G. Kononov, D. M. Polyakov, A. V. Safulin, and L. M. Vasilyak, “Continuous long laser spark produced with conical mirror and CO2 laser,” Proc. SPIE 5120, 631 (2003).

Pyatnitskii, L. N.

L. N. Pyatnitskiĭ, “Inhomogeneities of a laser spark in beams with compensation of the diffraction divergence,” Prikl. Fiz. No. 1, 55 (2003).

Rezunkov, Yu. A.

M. F. Borisov, V. M. Gromovenko, V. A. Lapshin, Yu. A. Rezunkov, V. P. Savel'eva, and V. V. Stepanov, “Long laser spark for controlling the trajectory of an atmospheric electric discharge,” Opt. Zh. 66, No. 3, 40 (1999) M. F. Borisov, V. M. Gromovenko, V. A. Lapshin, Yu. A. Rezunkov, V. P. Savel'eva, and V. V. Stepanov,[J. Opt. Technol. 66, 203 (1999)].

A. A. Ageichik, V. N. Alekseev, V. M. Gromovenko, V. I. Koroljev, A. N. Malinin, Yu. A. Rezunkov, V. P. Savelieva, G. A. Sokolova, V. V. Stepanov, A. G. Baranov, A. A. Kuchinsky, and P. V. Tomashevich, “Creation of the terawatt picosecond CO2 laser,” in Program of the Conference on Laser Optics. St. Petersburg, June 26-30, 2006.

Safulin, A. V.

V. V. Apollonov, K. N. Firsov, S. Yu. Kazantsev, I. G. Kononov, D. M. Polyakov, A. V. Safulin, and L. M. Vasilyak, “Continuous long laser spark produced with conical mirror and CO2 laser,” Proc. SPIE 5120, 631 (2003).

Savel'eva, V. P.

M. F. Borisov, V. M. Gromovenko, V. A. Lapshin, Yu. A. Rezunkov, V. P. Savel'eva, and V. V. Stepanov, “Long laser spark for controlling the trajectory of an atmospheric electric discharge,” Opt. Zh. 66, No. 3, 40 (1999) M. F. Borisov, V. M. Gromovenko, V. A. Lapshin, Yu. A. Rezunkov, V. P. Savel'eva, and V. V. Stepanov,[J. Opt. Technol. 66, 203 (1999)].

V. P. Savel'eva, “Optical shaping systems for generating a long laser spark,” Opt. Zh. 66, No. 3, 54 (1999) V. P. Savel'eva,[J. Opt. Technol. 66, 215 (1999)].

Savelieva, V. P.

A. A. Ageichik, V. N. Alekseev, V. M. Gromovenko, V. I. Koroljev, A. N. Malinin, Yu. A. Rezunkov, V. P. Savelieva, G. A. Sokolova, V. V. Stepanov, A. G. Baranov, A. A. Kuchinsky, and P. V. Tomashevich, “Creation of the terawatt picosecond CO2 laser,” in Program of the Conference on Laser Optics. St. Petersburg, June 26-30, 2006.

Sokolova, G. A.

A. A. Ageichik, V. N. Alekseev, V. M. Gromovenko, V. I. Koroljev, A. N. Malinin, Yu. A. Rezunkov, V. P. Savelieva, G. A. Sokolova, V. V. Stepanov, A. G. Baranov, A. A. Kuchinsky, and P. V. Tomashevich, “Creation of the terawatt picosecond CO2 laser,” in Program of the Conference on Laser Optics. St. Petersburg, June 26-30, 2006.

Stepanov, V. V.

M. F. Borisov, V. M. Gromovenko, V. A. Lapshin, Yu. A. Rezunkov, V. P. Savel'eva, and V. V. Stepanov, “Long laser spark for controlling the trajectory of an atmospheric electric discharge,” Opt. Zh. 66, No. 3, 40 (1999) M. F. Borisov, V. M. Gromovenko, V. A. Lapshin, Yu. A. Rezunkov, V. P. Savel'eva, and V. V. Stepanov,[J. Opt. Technol. 66, 203 (1999)].

A. A. Ageichik, V. N. Alekseev, V. M. Gromovenko, V. I. Koroljev, A. N. Malinin, Yu. A. Rezunkov, V. P. Savelieva, G. A. Sokolova, V. V. Stepanov, A. G. Baranov, A. A. Kuchinsky, and P. V. Tomashevich, “Creation of the terawatt picosecond CO2 laser,” in Program of the Conference on Laser Optics. St. Petersburg, June 26-30, 2006.

Taranukhin, V. D.

A. Bakhari and V. D. Taranukhin, “Laser acceleration of electrons in vacuum to an energy of ~109eV,” Kvantovaya Elektron. (Moscow) 34, 129 (2004) A. Bakhari and V. D. Taranukhin,[Quantum Electron. 34, 129 (2004)].

Thaning, A.

Tomashevich, P. V.

A. A. Ageichik, V. N. Alekseev, V. M. Gromovenko, V. I. Koroljev, A. N. Malinin, Yu. A. Rezunkov, V. P. Savelieva, G. A. Sokolova, V. V. Stepanov, A. G. Baranov, A. A. Kuchinsky, and P. V. Tomashevich, “Creation of the terawatt picosecond CO2 laser,” in Program of the Conference on Laser Optics. St. Petersburg, June 26-30, 2006.

Vasilyak, L. M.

V. V. Apollonov, K. N. Firsov, S. Yu. Kazantsev, I. G. Kononov, D. M. Polyakov, A. V. Safulin, and L. M. Vasilyak, “Continuous long laser spark produced with conical mirror and CO2 laser,” Proc. SPIE 5120, 631 (2003).

Appl. Opt. (1)

Kvantovaya Elektron. (Moscow) (1)

A. Bakhari and V. D. Taranukhin, “Laser acceleration of electrons in vacuum to an energy of ~109eV,” Kvantovaya Elektron. (Moscow) 34, 129 (2004) A. Bakhari and V. D. Taranukhin,[Quantum Electron. 34, 129 (2004)].

Opt. Zh. (2)

M. F. Borisov, V. M. Gromovenko, V. A. Lapshin, Yu. A. Rezunkov, V. P. Savel'eva, and V. V. Stepanov, “Long laser spark for controlling the trajectory of an atmospheric electric discharge,” Opt. Zh. 66, No. 3, 40 (1999) M. F. Borisov, V. M. Gromovenko, V. A. Lapshin, Yu. A. Rezunkov, V. P. Savel'eva, and V. V. Stepanov,[J. Opt. Technol. 66, 203 (1999)].

V. P. Savel'eva, “Optical shaping systems for generating a long laser spark,” Opt. Zh. 66, No. 3, 54 (1999) V. P. Savel'eva,[J. Opt. Technol. 66, 215 (1999)].

Proc. SPIE (1)

V. V. Apollonov, K. N. Firsov, S. Yu. Kazantsev, I. G. Kononov, D. M. Polyakov, A. V. Safulin, and L. M. Vasilyak, “Continuous long laser spark produced with conical mirror and CO2 laser,” Proc. SPIE 5120, 631 (2003).

Other (4)

L. N. Pyatnitskiĭ, “Inhomogeneities of a laser spark in beams with compensation of the diffraction divergence,” Prikl. Fiz. No. 1, 55 (2003).

A. A. Ageichik, V. N. Alekseev, V. M. Gromovenko, V. I. Koroljev, A. N. Malinin, Yu. A. Rezunkov, V. P. Savelieva, G. A. Sokolova, V. V. Stepanov, A. G. Baranov, A. A. Kuchinsky, and P. V. Tomashevich, “Creation of the terawatt picosecond CO2 laser,” in Program of the Conference on Laser Optics. St. Petersburg, June 26-30, 2006.

A. Gerrard and J. M. Burch, Introduction to Matrix Methods in Optics (Wiley, New York, 1975; Mir, Moscow, 1978).

Yu. A. Anan'ev, Optical Cavities and Laser Beams (Nauka, Moscow, 1990).

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