Semiempirical formula based on Fraunhofer-Diffraction and fitted with particle size distribution inversion

Dai Bing; Bao Zhihua; He Anzhi

Fraunhofer-Diffraction has not only theoretical but also practical meanings.The measurement of particle size is an important application of Fraunhofer-Diffraction.In order to precisely calculate the particle size,it is necessary to make the results of Fraunhofer-Diffraction unlimitedly to close to Mie solution.But the considerable difference between results of Fraunhofer-Diffraction and Mie solution exists,if the particle size parameter x,defined as x=πd/λ,closes by one.This paper proposed a more exact semiempirical formula to fit with the particle size distribution inversion.According to the semiempirical formula,the calculation results are exactly coincident with Mie's solution at small forward angles.Comparing with the approximation of Fymat A L and Mease K D,the formula gives much higher precise of measurement of particle size distribution for all the range,especially for minute particles.Also,this paper presented two methods to perform the particle size distribution inversion.

1. Nantong institute of Technology, Nantong, 226007;

2. Nanjing University of Science and Technology, Nanjing, 210049

Received Date: 1999-04-16

Accepted Date: 1999-07-05

Available Online: 2000-07-25

Abstract: Fraunhofer-Diffraction has not only theoretical but also practical meanings.The measurement of particle size is an important application of Fraunhofer-Diffraction.In order to precisely calculate the particle size,it is necessary to make the results of Fraunhofer-Diffraction unlimitedly to close to Mie solution.But the considerable difference between results of Fraunhofer-Diffraction and Mie solution exists,if the particle size parameter x,defined as x=πd/λ,closes by one.This paper proposed a more exact semiempirical formula to fit with the particle size distribution inversion.According to the semiempirical formula,the calculation results are exactly coincident with Mie's solution at small forward angles.Comparing with the approximation of Fymat A L and Mease K D,the formula gives much higher precise of measurement of particle size distribution for all the range,especially for minute particles.Also,this paper presented two methods to perform the particle size distribution inversion.

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Reference (17)

[1]	杨晔,张镇西,蒋大宗.激光技术,1997;21(2):122～127
[2]	张志伟,郑刚,虞先煌et al.中国激光,1995;22(10):742～746
[3]	应萱同.计算物理,1996;13(2):190～194
[4]	张会生,高敦岳.仪器仪表学报,1995;16(1):57～61
[5]	Fymat A L1Appl Opt,1978;17(11):1677～1678
[6]	Riley J B,Agrawal Y C.Appl Opt,1991;30(33):4800～4817
[7]	杨晔,张镇西,蒋大宗.激光技术,1998;22(1):18～21
[8]	Shifrin K S,Punina V A.Bulletin Izvestia of Academic Science.USSR Atmos Oceanic Phys,1968;4(7):450
[9]	Fymat A L,Mease K D.Appl Opt,1981;20(2):194～198
[10]	Penndorf R.J O S A,1962;52:797
[11]	米凤文,牟同声.光学仪器,1995;17(4/5):8～11
[12]	张以漠,毛义,田学飞.光电工程,1990;17(1):1～8
[13]	毛义,张以漠.天津大学学报,1993;2:15～20
[14]	郑刚,张志伟,蔡小舒et al.中国激光,1998;25(3):285～288
[15]	Koo J H,Dan Hirleman E.Appl Opt,1992;31(12):2130～2140
[16]	Nefedof A P,Petrov O F,Vaulina O S.Appl Opt,1997;36:1357～1366
[17]	Coil M A,Farrell P V.Appl Opt,1995;34(33):7771～7786

Semiempirical formula based on Fraunhofer-Diffraction and fitted with particle size distribution inversion

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