5. Diffuse transmission of light from a central source throughscattering and transmission function, 1972.

an inhomogeneous spherical shell with isotropic scattering. J.
Math. Phys,. 1968.

A.T. Bharucha-Reid stated in his 1960 book on Markovprocesses, “The stochastic approach to the equations of

6. Initial-value methods for integral equations arising inradiative transfer is due to S. Ueno.” We can add that a great

theories of the solar atmosphere. Astrofizika, 1968.

many of the fundamental equations of radiative transfer canA HYBRID ALGORITHM OF FAST INVARIANT IMBEDDING AND
DOUBLING-ADDING METHODS FOR EFFICIENT MULTIPLE SCATTERING CALCULATIONSKiyoshi Kawabata
Department of Physics, College of Science, Tokyo University of Science, Shinjuku-ku, Tokyo 162-8601, Japan
E-mail address : kawabata@rs.kagu.tus.ac.jp

be attributed to S. Ueno.
7. New derivation of the integro-differential equations for
Chandrasekhar’s X and Y functions. J. Math. Phys., 1968.

Prof. Ueno clearly made lasting contributions to the theory
and application of multiple scattering; to remote sensing,

8. Reflection and transmission functions for finite isotropicallysystem identification, and inverse problems; as well as to thescattering atmospheres with specular reflectors. JQSRT, 1969.

analytical and computational aspects of the mathematics ofintegral equations.

9. Some mathematical aspects of multiple scattering in a finite
inhomogeneous slab with anisotropic scattering. Astr. Soc.
Japan., 1970.

In the year 2000, a special issue of Applied Mathematicsand Computation (Vol. 116) honored five decades of researchby Sueo Ueno. A complete list of publications is presented on

10. Radiometric correction for atmospheric and topographic

pp 11-38 of that issue, and the pages of all of his papers haveeffects on Landsat MSS images. Int. J. Remote Sensing, 1988.

been digitized by Kyoto School of Computer Science.

11. Stochastic approach to Cauchy system of Chandrasekhar’◆Summarys planetary problem with specular reflector. Astrophys. SpaceSci., 1988.

Sueo Ueno, the youngest son of the samurai Tokuzo Ueno
and Kuwa Koketsu, certainly made a mark in this world. He

12. Reflection function of linearized Couette flow via

was born on February 26, 1911 and passed away peacefully

stochastic approach. ISCIE, 1991.

on October 17, 2011 at age one hundred. He lived throughfour eras, Meiji through Heisei. He helped usher in a new age

13. Searchlight on a target with a diffuse background. J. Math.

of culture and scholarship. He was a man of his time and forPhys., 1993, 1994.

all time.

Here are additional selections from papers published insubsequent years:

We are fortunate to have known Sueo Ueno, an inspiration
to us all. We dedicate our efforts to preserving his legacy.

14. The surface albedo retrieval of mountainous forest areafrom satellite MSS data. Appl. Math. Comput., 1995.
15. The estimation of parameters in time-dependent transport
problems. Comput. Math. Appl., 1999.
16. Cauchy problem for least squares estimation with semidegenerate covariance. Appl. Math. Lett., 1999.
17. Cauchy systems for Fredholm integral equations withparameter imbedding. Appl. Math. Comput., 2000.
Sueo Ueno pioneered in the application of multiple scattering
theory to radiation dosimetry:
18. Invariant imbedding and radiation dosimetry: finite order

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1415

1415Relationship between AOT and PM based on multi-measurements
and model simulationsa◆

Makiko Nakata a , Itaru Sano b and Sonoyo Mukai b
Faculty of Sociology, b Graduate School of Science and Technology, Kinki University,
3-4-1 Kowakae, Higashi-Osaka, 577-8502, Japanover the Barbados Island5. Wang and Christopher investigate

Abstract

the relation between satellite based MODIS-AOT and in-situ
The suspending particulate matter (PM 2.5) is a typicalPM2.5 measurements in the Alabama, USA, and obtained good

indicator of small particles in the atmosphere. Accordingly

correlation for monthly even hourly PM2.5 measurements6.

in order to monitor the air quality, sampling of PM 2.5 has

Mukai et al. also investigates the relation in the 2nd large city,

been widely undertaken over the world, especially in theOsaka, in Japan7. The results showed that a linear correlation

urban cities. On the other hand, it is known that the sun

definitely exists between AOT and PM 2.5, and the value ofphotometry provides us with the aerosol information, e.g.

correlation coefficient for whole data were lower than thataerosol optical thickness (AOT), aerosol size information andin separately considering with two cases as anthropogenic

so on. Simultaneous measurements of PM 2.5 and the AOT

and dust aerosols. This result looks to be showing a fact thathave been performed at a NASA/AERONET (Aerosol Robotics

the atmospheric situation during Asian Dust events, i.e., highNetwork) site in urban city of Higashi-Osaka in Japan since

AOT and low PM2.5, may beMarch 2004, and successfully provided a linear correlation

other words, the vertical distribution of atmospheric aerosols,different from that as usual. In

between PM2.5 and AOT in separately considering with several

namely the height of boundary layer, plays a sufficient role on

cases, e.g. usual, anthropogenic aerosols, dust aerosols and so

the relationship between AOT and PM2.5. Especially our study

on. This fact suggests that the vertical distribution also should

site, Osaka AERONET station, is surrounded by mountains,

be taken into account separately for each aerosol type. In thisand hence the height of boundary layer could have a strong

work, vertical profiles of atmospheric aerosols are considered

influence upon the correlation between AOT and PM2.58. The

based on combination use of photometric data with AERONET,

precise relationship between AOT and PM2.5 is desired. In this

LIDAR (Light Detection and Ranging) measurements andwork, new LIDAR extinction data are examined to improvemodel simulations.

the correlation of AOT and PM 2.5 under boundary layer
atmosphere.

Keywords : Aerosols, PM, Aerosol optical depth, LIDAR◆*nakata@socio.kindai.ac.jp

1. INTRODUCTION
It is well known that the increasing emissions of◆

2. MEASUREMENTS◆2.1 AERONET data

anthropogenic aerosols associated with continuing economic
growth in Asia are causing serious air pollution and climate

The data supplied by the Cimel instrument were analyzed

change. PM 2.5 is sampling widely over the world due towith a standard AERONET processing system9,10. It provides us

monitoring the air quality. Also our group monitors PM2.5 inwith AOT and the Ångström exponent ( α ). The resolution of1

Japan at Higashi-Osaka and Noto sites . Among these sites, thethe AOT is better than 0.01 in all observation wavelengths, andsimultaneous measurements by the sun photometry have been

cloud screening of the obtained data was performed before

undertaken. The sun photometry provides us with the aerosol

aerosol retrieval 11. AOT is the basic parameter describing

information. The world wide NASA/AERONET data are most

atmospheric aerosols and indicates the degree of opacity

2, 3.

(and hence the concentration of the aerosol particles) in theOur group has also managed several AERONET stations as

atmosphere12. Some aerosol events show the characteristic

Shirahama since 2000, Higashi-Osaka since 2002, and Notofeature of dust events of a high AOT and a low α but almost

since 2003 in Japan. Furthermore a standard instrument ofalways the detection of rather high values ofNIES/LIDAR network4, Mie scattering lidar instrument, has

contamination by small anthropogenic particles. Figure 1

been set up since April in 2008 at the Higashi-Osaka site.

indicates the AOT at Higashi-Osaka from 2004 to 2010. It

Smirnov et al. have showed that the relation of total column

shows that high AOT due to dust event is observed frequently

aerosol optical thickness and PM 10 in-situ measurementsin spring.

available as the ground-based sun-photometric products

α indicates17