EQUATIONS OF RADIATION TRANSFER IN INFRARED TOMOGRAPHY IN THE CASE OF ACTIVE-PASSIVE DIAGNOSIS AND SWEEPING SCANNING

(1)

К

КИ

Щ

И

-

,

Scientific and Technical Journal of Information Technologies, Mechanics and Optics

2014,

№

1 (89)

207 :

«

»

,

(

,

-),

.

- «

»

-,

.

-:

1. «

»

([Sb

5+

]

–

+kT



e

–

+Sb

5+

);

2. (e–+Ag+



Ago) 3)

(Agn0+kAg0=Agn+k0).

И ь А ч – ,

-, ,

-, , [email protected]

И ь А И ч – . , -

-,

-, - , , [email protected]

В ч – .- . , , . ,

-, , - ,

, [email protected]

ч – .- . , ,

, - , , [email protected]

Dmitry Ignatiev – engineer, Saint Petersburg National Research University of Information

Technologies, Mechanics and Optics, Saint Petersburg, Russia, [email protected]

Alexander Ignatiev – Head of laboratory, Saint Petersburg National Research University of

In-formation Technologies, Mechanics and Optics, Saint Petersburg, Russia, [email protected]

Nicolai Nikonorov – D.Sc., Professor, Department head, Saint Petersburg National Research

University of Information Technologies, Mechanics and Optics, Saint Pe-tersburg, Russia, [email protected]

Dmitry Starodubov – PhD, research scientist, University of Southern California, CA,

USA,[email protected]

535.3+519.642.7

-

1

. .

a

- ,

, - , , [email protected]

.

: (ON) – , (OFF) – .

k B (

T).

юч : , ,

, , , .

EQUATIONS OF RADIATION TRANSFER IN INFRARED TOMOGRAPHY

IN THE CASE OF ACTIVE-PASSIVE DIAGNOSIS AND SWEEPING SCANNING

2

A. Makarova

b

Saint Petersburg National Research University of Information Technologies, Mechanics and Optics, Saint Petersburg, Rus-sia, [email protected]

Sweeping scanning scheme of a hot gas in the task of infrared tomography is formulated. Two diagnosis regimes are used: the active one (ON) – with included source and the passive one (OFF) – without it. Two integral equations are deduced concern-ing the absorption coefficient k and the Planck function B of a medium (by which it is possible to calculate the temperature profile of a medium T).

Keywords: IR tomography, integral equations of radiation transfer, active and passive diagnosis regimes, sweeping scanning, absorption coefficient, temperature profile.

1

( № 13-08-00442).

2

The work was done with support from the Russian Foundation for Basic Research (grant № 13-08-00442)

(2)

К

КИ

Щ

И

.

-

,

Scientific and Technical Journal of Information Technologies, Mechanics and Optics

2014,

№

1 (89)

208 [ ]

(

)

.

-.

, ,

0

I

,

IR( )

(

(ON)),

( )

g

I



(

(OFF)).

, ,

I0

,

( ) R

I 

,

I

_g

( )



,



–

.

,

, .

ON



0

0 0 0 0

( )

( ) exp

( , )

exp

( , )

( , ) (

( , )) exp

( , )

,

m m m

R g

I

B T

k

d

k

d

k

B T

k

d

 

_

 

_









_





_



 



_



   

_



_





   



_{ }



 



_

 





_





















 





(1)

OFF

0

( )

( , ) (

( , )) exp

( , )

m m

g g

I

k

B T

k

d

 









 

 



_



 





_









,

(2)



–

,

  m _max( )

,

B T( )0

–

.

( ) R

I 

I

g

( )



0

( )

( ) exp

( , )

m

T R g

I

B T

k

d







 

 

 



_



  



_







.

(3)

.



:

( );

( )

(1)–(3)

k( , ) 

-(

g

( , ))

B T

 

,

T

g

( , )

 

,

-R

I

,

I

g

IT



, . .

IR( , ) 

,

I

g

( , )

 

IT( , ) 

.

А А – , -

-, , - ,

, [email protected]

Alena Makarova – student, Saint Petersburg National Research University of Information

Technol-ogies, Mechanics and Optics, Saint Petersburg, Russia, [email protected]

I0 IR(),Ig()

IR(),Ig() I0

 

=0 m

m =0

 

0 0

( ), ON

0, OFF B T I 







0 0

( ), ON

0, OFF B T I 





