Корпускулярно-фотонные процессы и технологии. Светцов В.И - 36 стр.

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35
+ ⋅ ⋅
⋅
− − ⋅
4
2
2α αa t i
x
a t
xΦ
*
exp( ) , (2.5)
! k - !$ ; q - # ! 
#$;
Φ Φ Φ
* * *
( ) exp( ) ( ) ( )u d i u d
u
u
= − =
∞
∞
2
2
π
ξ ξ ξ ξ
- !$     .
 ,    t ≥ 10
-10
,  ,
"#   !   #"# , .
$  ( 
δ
α
=
<<
⋅
/
a
t
).
&   (2.5) !, 
T(x t
q a t
k
i
x
a t
, ) ;
*
=
⋅
⋅
⋅
2
2
Φ (2.6)
T t
q a t
k
( , )0
2
=
⋅
⋅π
, (2.7)
.. !      
!" !$" !.
    $ ! $ .
$  + (
δ
>>
⋅
a
t
), ! $
! #, $  !
!   :
T(x t
q t
c
x, ) exp( );=
⋅
⋅
⋅
− ⋅
α
ρ
α (2.8)
T t
q t
c
0
( ) =
⋅
⋅
⋅
α
ρ
. (2.9)
0 !   $  
  (r
0
≈ 10 - 20 );  & r a t
0
<< ⋅ , $" $
 $ !    !  , 
! $  .
&    ! .:
T(x t
q a t
k
i
x
a t
i
x r
a t
, )
* *
=
⋅
⋅
−
+
⋅
2
2 2
2
0
2
Φ Φ . (2.10)
 :
T x
q
k
x r x

( ) = + −
2
0
2
. (2.11)
)$  ! &  
   #  q !
    !   . (, 
$ #  !  10
5
/
2
,  $ 
                                                        x
                           + 4α a ⋅ t ⋅ iΦ *                 − 2 exp( −α ⋅ x) ,                                                   (2.5)
                                                      2 a⋅t
! k-                                !      $                ;q-        #                              !
 #            $;
                               *    2 ∞                                                         ∞
                           Φ ( u) =     exp( − ξ 2 )dξ                      iΦ ( u) = Φ * (ξ)dξ
                                                                                    *
                                     πu                                                           u
-!                        $                                                                                       .
                                                                                            -10
                           ,                                                    t ≥ 10          ,                                             ,
          "#                               !                                                  # "#                            ,           .
          $                                 (              δ = 1/ α << a ⋅ t ).
 &                                 (2.5)        !     ,
                                      2q a ⋅ t          x
                           T(x, t ) =          ⋅ iΦ *       ;                                                                     (2.6)
                                        k             2 a⋅t
                                      2q a ⋅ t
                           T(0, t ) =          ,                                                                                  (2.7)
                                        π ⋅k
. .                   !
      !       "                                 !         $"       ! .
                                                                                       $   !                              $               .
                  $                                                +                (δ >> a ⋅ t ),                        !                   $
                      !                    #                   ,                    $                                         !
              !                                                                          :
                                       q ⋅α ⋅ t
                           T(x, t ) =            exp( −α ⋅ x);                                                                    (2.8)
                                         ρ⋅c
                                      q ⋅α ⋅ t
                           T0 ( t ) =          .                                                                                  (2.9)
                                       ρ⋅c
          0                 !                                                           $
                              (r0 ≈ 10 - 20          );      &              r0 << a ⋅ t ,                                 $       "           $
                            $                !                                              !                                         ,
      !                          $                             .
 &                                                                          !                             .               :
                                      2q a ⋅ t        x                                     x 2 + r02
                           T(x, t ) =          iΦ *       − iΦ *                                              .                   (2.10)
                                        k           2 a⋅t                                   2 a⋅t
                                    :
                                    q
                           T ( x) =                 x 2 + r02 − x .                                                               (2.11)
                                    k
          )                         $                                   !       &
                                                                            #                                     q           !
                                                               !                                                          . ( ,
              $           #                                !                                    105       /       2
                                                                                                                      ,                       $

                                                                   35

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