nblib.library.kz - /elib/library.kz/jurnal/v_2007_2/

-

, -

.

1. . -

: . , 2004.

220 .

2. . // -

. 2005. 9-10. . 9-13.

3. . -

. : «F », 2003. 328 .

4. . -

// .

. , 2006. . 16-26.

i i,

.

Summary

Data on manufacture of various kinds of mining raw material are cited, a role of a science and the industry in their achievement, and also inn ovative developmen ts of Republic.

622. 232

. . . ,

. 05.12.06 .

. . , . . , . . ,

. . , . . , . .

, -

,

, -

,

- .

-

– -

, -

, . -

,

, -

, [1, 2]. -

, , -

-

– ,

-

. -

,

-

, , ,

, -

, -

, .

, ( -

)

, ,

. ,

,

, -

- ,

, -

-

, , -

.

,

95%) [3]

.

-

, ,

2007. 2

. -

, -

,

.

: , -

. -

, -

,

-

, -

.

,

. ,

- ,

.

, -

, -

,

, .

, -

, ,

- -

. ,

, -

,

. -

-

, , ,

,

,

. -

, .

[4, 5], -

- - .

[4, 5]

, -

-

( ) – -

A( ), -

:

1

1 1 1 exp 1 1,

U r A ik ₁r d (1)

1 – , ,

r – , -

- U₁(r)

.

(1) -

- ,

1. -

- ,

. , ₁

- ,

1. , -

,

- .

1 «+» «-»,

.

, -

, -

[5], -

, :

y x u

A , exp

dS y x z y

x

ik 1 ,

exp ^{2 2} , (2)

N – ,z(x,y) –

, -

.

(2) -

,

z(x,y). , -

, ,

.

- ,

(2) .

- - [5].

-

, , ,

1 (

) .

- ,

(2).

[5] -

. -

, -

, -

.

(1) (2).

- ( .1),

( .2),

[

z(x,y)] -

.

exp 1 1 1

1

U ik

S S

r r

1 1 ,

dS d dSd (3)

1, – -

,

r₁ -

, r – -

, r ,

. - (3)

, -

- [6].

1 1

1r r

r

r^/ (4)

. ,

-

( -

). ,

q -

( -

) -

( 10–30).

- .

, I=0,5 ², -

50% , -

,

. , -

-

. -

,

, qId.

d =1 , -

,

, q = 20

1 1 ,

( - - ).

- d,

.

q = 20

-

, ,

20 -

( 1

20 ). - -

, -

, , -

. ( -

.) ,

-

2007. 2

, -

).

, ,

- , .

(4)

. , -

, -

. ,

- -

, .

- . (2)

, -

: y

x u

A ,

dS y x z y x

ik ,

exp . (5)

(5) (2) -

z(x,y),

. (5) -

- .

: -

, (5),

y x z

ik ,

exp ,

.

-

« » « » -

. y x z y x z y x

z , ₀ , , . (6)

- ,

- [7], ,

(4),

y x z y x z y

x

z , 1 , ,

1 ^{2 2 2 2} ₀ .

(7)

,

- . - y

x ikz y

x u

A , exp , exp

dS y x z y

x

ik 1 ^{2 2} ₀ , . (8)

-

. , -

,

. y

x ikz y

x

u , exp , , -

(8), -

,

z₀(x,y).

, ,

u(x,y)

(

). -

, (8) , -

, - .

,

- , ,

. , -

,

, .

- - .

(8) , -

- ,

- .

, -

, -

. ,

.

. ,

-

. -

,

, -

, , -

. -

,

, ,

-

, -

.

, , ,

-

( )

, -

. ,

[8], ,

, . -

, –

, .

.

- ,

-

. ,

. -

, -

,

, -

.

-

, -

, -

.

, . , -

, -

,

. ,

- - .

. 1 ,

- -

, 45 (

, ).

3

2 1

x y O

. 1. ,

45°,

1 – , 2 – ,

3 –

. [5, 6]

, -

, -

R,

, -

, :

1 , 1 1

0 F

r

r (9) F = 0,5Rcos .

2007. 2

,

- ,

(9). -

. 2) :

2 cos 2cos

2

cos R

F

AB ,

2 sin 2cos 2

sin R

F

AC . (10)

- - :

2 cos 2cos

cos R

R

y ,

2 sin 2cos

sin R

R

x . (10)

(10)

, . 1.

, , -

, -

,

,

, -

.

, ,

- .

1. ., . // RU

0002241916 C. 2.

2.Tirey Jr., Tommy Lee. //US 2000 506561.

18.02.2000

3. .

4.Suleimenov I.E., Tolmachev Yu.A.On the possibility of generalized Fourier optics introduction // Optics & Spectro- scopy, 1994. V. 76, N 6. P. 999-1004.

5.Suleimenov I.E., Tolmachev Yu.A.Generalized Fourier optics. III. Description of wavefront reflection from the non- flat mirror in terms of the local curvature // Optics & Spec- troscopy. 1995. V. 78, N 1. . 110-113.

6.Suleimenov I.E., Tolmachev Yu.A.On the problem of classification of singular points of caustic surfaces // Optics &

Spectroscopy. 1995, V. 79, N 1. P. 170-172.

7. . : . . /

. . . . .: , 1980. 364 .

8. ., . . ., 1970.

551.590.2 ,

. . . 3.11.06 .

A C B

O

y

x

. 2.