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References

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  1. S. A. Akhmanov, R. V. Khokhlov, H. P. Sukhorvkov, in CRC Laser Handbook, (CRC Press, Cleveland, 1975), p. 1151.
  2. D. Marcuse, Light Transmission Optics (Van Nostrand Reinhold, New York, 1972), p. 267.

Akhmanov, S. A.

S. A. Akhmanov, R. V. Khokhlov, H. P. Sukhorvkov, in CRC Laser Handbook, (CRC Press, Cleveland, 1975), p. 1151.

Khokhlov, R. V.

S. A. Akhmanov, R. V. Khokhlov, H. P. Sukhorvkov, in CRC Laser Handbook, (CRC Press, Cleveland, 1975), p. 1151.

Marcuse, D.

D. Marcuse, Light Transmission Optics (Van Nostrand Reinhold, New York, 1972), p. 267.

Sukhorvkov, H. P.

S. A. Akhmanov, R. V. Khokhlov, H. P. Sukhorvkov, in CRC Laser Handbook, (CRC Press, Cleveland, 1975), p. 1151.

Other

S. A. Akhmanov, R. V. Khokhlov, H. P. Sukhorvkov, in CRC Laser Handbook, (CRC Press, Cleveland, 1975), p. 1151.

D. Marcuse, Light Transmission Optics (Van Nostrand Reinhold, New York, 1972), p. 267.

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Equations (14)

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d 2 r d z 2 = n r 1 n 0 ,
r ( z ) = r 0 cos ( n 1 n 0 z ) + n 0 n 1 r 0 sin ( n 1 n 0 z ) ,
n 0 ± ½ n 1 r 2 exp ( ± α z ) .
d 2 r d z 2 + n 1 n 0 r exp ( ± α z ) = 0 .
r ( z ) = r 0 J 0 [ ± 2 α n 1 n 0 exp ( ± α z 2 ) ] .
J 0 ( β ) β 2 π β cos ( β π 4 ) ,
β = 2 α n 1 n 0 exp ( ± α z / 2 ) .
n = n 0 λ ρ ( r , z ) ,
d 2 r d z 2 = λ C T 0 2 T r .
2 T r 2 + 1 r T r + q ˙ k = 0 .
T ( r , z ) = T w + q ˙ ( z ) 4 k ( R 2 r 2 ) .
T ( r , z ) = T w + ϕ I 0 4 k exp ( α z ) ( R 2 r 2 ) .
d 2 r z 2 + H exp ( α z r ) = 0
H = λ C ϕ I 0 2 k T 0 2 .

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