X-ray waveguiding studies of ordering phenomena in confined fluids - References

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X-ray waveguiding studies of ordering phenomena in confined fluids

Zwanenburg, M.J.

Publication date

2001

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Citation for published version (APA):

Zwanenburg, M. J. (2001). X-ray waveguiding studies of ordering phenomena in confined

fluids.

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References s

[1]] B . N . J. PERSSON, Sliding Friction, Springer (1998).

[2]] J. N . ISRAELACHVILI, Intermolecular and Surface Forces, Academic Press, secondd edition (1991).

[3]] W . J H U I S M A N , J. F . P E T E R S , M. J. Z W A N E N B U R G , S. A D E V R I E S , T . E .

D E R R Y ,, and J. F . VAN D E R V E E N , Layering of a liquid metal in contact with

aa hard wall, Nature 390, 379 (1997).

[4]] S. H. J. I D Z I A K , C. R. S A F I N Y A , R. S. H I L L , K. E. K R A I S E R , M. R U T H S , H.. E . W A R R I N E R , S. S T E I N B E R G , K. S. L I A N G , and J. N. I S R A E L A C H V I L I ,

TheThe x-ray surface forces apparatus: Structure of a thin smectic liquid crystal filmfilm under confinement, Science 264, 1915 (1994).

[5]] R. F I T Z G E R A L D , Phase-sensitive x-ray imaging, Physics Today 5 3 , 23 (2000). [6]] J. M. C O W L E Y , Diffraction Physics, North-Holland, 3rd edition (1995). [7]] R. M A E R Z , Integrated Optics: Design and Modeling, Artech House, Boston

(1994). .

[8]] D . MARCUSE, Theory of Dielectric Waveguides, Academic Press, San Diego (1991). .

[9]] J . D . J A C K S O N , Classical Electrodynamics, John Wiley & Sons, Inc., New York,, 3rd edition (1998).

[10]] M. B O R N and E . W O L F , Principles of Optics, Pergamon Press Ltd., Oxford, Englandd (1980).

114 4 REFERENCES S [11]] E. KREYSZIG, Advanced Engineering Mathematics, John Wiley & Sons, Inc.,

Neww York (1993).

[12]] A. YARIV and P. Y E H , Optical Waves in Crystals, John Wiley Sz Sons,

New-Yorkk (1984).

[13]] M. D. F E I T and J. A. FLECK, J R . , Light propagation in graded-index optical fibers,fibers, Appl. Opt. 17, 3990 (1978).

[14]] W. HUANG, X. CHENGLIN, S. T. CHU, and S. K. CHAUDHURI, The

finite-differencedifference vector beam propagation method: Analysis and assessment, IEEE

J.. Lightwave Tech. 10, 295 (1992).

[15]] L. THYLEN and D. YEVICK, Beam propagation method in anisotropic media,

Appl.. Opt. 21, 2751 (1982).

[16]] G.R. KACZMARSKI and P.E. LAGASSE, Bidirectional beam propagation

method,method, Electa, lett. 24, 675 (1988).

[17]] J. ALS-NIELSEN, Solid and liquid surfaces studied by synchrotron x-ray

diffraction,diffraction, in W. SCHOMMERS and P. VON BLANCKENHAGEN, editors,

Top-icsics in Current Physics, chapter 5, 181, Springer Verlag, Berlin (1986).

[18]] M. D. F E I T and J. A. FLECK, J R . , Computation of mode properties in optical fiberfiber waveguides by a propagating beam method, Appl. Opt. 19, 1154 (1980).

[19]] R. SCARMOZZINO and R. M. OSGOOD, J R . , Comparison of finite-difference andand fourier-transform solutions of the parabolic wave equation with emphasis onon integrated-optics applications, J. Opt. Soc. Am. B 8, 724 (1991).

[20]] H. J. W. M. HOEKSTRA, G. J. M. KRIJNEN, and P. V. LAMBECK, On the

accuracyaccuracy of the finite difference method for applications in beam propagating techniques,techniques, Opt. Comm. 94, 506 (1992).

[21]] S. E. KOONIN, Computational Physics, Addison-Wesley Publishing Company, Inc.,, USA (1986).

REFERENCESS 115 [23]] G. R. HADLEY, Transparent boundary condition for the beam propagation

method,method, IEEE J. Quantum Electron. 28, 363 (1992).

[24]] G. GRÜBEL, J. ALS-NlELSEN, and A. K. FREUND, The troika beamline at

ESRF,ESRF, J. Phys. IV (France) 4, C9 (1994).

[25]] D. MARCUSE, Light Transmission Optics, Van Nostrand Reinhold Co., second

editionn (1982).

[26]] The Cooke Corporation, 1091 Centre Road, Suite 100, Auburn Hills, MI 48326,, USA.

[27]] Huber Diffractionstechnik GmbH, Sommerstrasse 4, D-83253 Rimsting, Ger-many. .

[28]] General Optics Inc., 554 Flinn Avenue, Moorpark, CA 93021, USA.

[29]] Melles Griot, Photonics Components, 1770 Kettering Street, Irvine, California 92614,, USA.

[30]] Burleigh Instruments Inc., Burleigh Park, Fishers NY 14453, USA. [31]] Physik Instrumente, Polytec-Platz 5-7, 76337 Waldbronn, Germany.

[32]] S. TOLANSKY, Multiple Beam Interferometry of Surfaces and Films, Dover

Publications,, New York (1970).

[33]] Muller GmbH, AM Bleichbach 7, 85452 Moosinning, Germany.

[34]] Instruments S.A., JOBIN YVON/SPEX Division, B.P. 118, 91165 LongjumeauLongjumeau Cedex, France.

[35]] Photometries GmbH, Sollner Str. 61, D-81479 Muenchen, Germany.

[36]] J. N. ISRAELACHVILI, Thin film studies using multiple-beam interferometry,

J.. Colloid and Interface Sci. 44, 259 (1973).

[37]] E. SPILLER and A. SEGMÜLLER, Propagation of x rays in waveguides, Appl.

116 6 R E F E R E N C E S S [38]] B . F I S C H E R and R. U L R I C H , Self-imaging in a planar x-ray waveguide, Appl.

Phys.. Lett. 3 6 , 356 (1980).

[39]] Y . P . F E N G , S. K . S I N H A , H. W . D E C K M A N , J . B . H A S T I N G S , and D . P .

SlDDONS,, X-ray flux enhancement in thin-film waveguides using resonant

beambeam couplers, Phys. Rev. Lett. 7 1 , 537 (1993).

[40]] S. L A G O M A R S I N O , W . J A R K , S. D I F O N Z O , A. C E D O L A , B . M U L L E R ,

P .. E N G S T R O M , and C . R I E K E L , Submicrometer x-ray beam production by

aa thin film waveguide, J . App. Phys. 79, 4471 (1996).

[41]] P . E N G S T R O M , S. L A R S S O N , A. R I N D B Y , A. B U T T K E W I T Z , S. G A R B E ,

G.. G A U L , A. K N O C H E L , and F . L E C H T E N B E R G , A submicron synchrotron

x-rayx-ray beam generated by capillary optics, NucL Instr. Meth. Phys. 3 0 2 , 546

(1991). .

[42]] D . L. A B E R N A T H Y , G. G R Ü B E L , S. B R A U E R , I. M C N U L T Y , G. B . S T E P H E N -S O N ,, -S. G. J . M O C H R I E , A. R. -S A N D Y , N . M U L D E R -S , and M. -S U T T O N ,

Small-angleSmall-angle x-ray scattering using coherent undulator radiation at the ESRF,

J.. Synchrotron Rad. 5, 37 (1998).

[43]] Y . P . F E N G , H. W . D E C K M A N , and S. K . SINHA, Mode-mixing in an x-ray

thin-filmthin-film waveguide, Appl. Phys. Lett. 6 4 , 930 (1994).

[44]] L. B . S O L D A N O and E . C. M. PENNINGS, Optical multimode interference

devicesdevices based on self-imaging - principles and applications, J. Lightwave Tech.

1 3 ,, 615 (1995).

[45]] A. A. M A C D O W E L L , R. C E L E S T R E , C.-H. C H A N G , K. F R A N C K , M. R. H O W E L L S ,, S. L O C K L I N , H. A. P A D M O R E , J . R. P A T E L , and R. S A N D E R ,

ProgressProgress toward sub-micron hard x-ray imaging using elliptically bent mirrors,

inn Proceedings SPIE, volume 3152, 126, T h e international society for optical engineering,, San Diego (1997).

[46]] A . S N I G I R E V , The recent development of bragg-fresnel crystal optics -

experi-mentsments and applications at the ESRF, Rev. Sci. Instrum. 6 6 , 2053 (1995).

[47]] A. S N I G I R E V , V . K O H N , I. S N I G I R E V A , and B . L E N G E L E R , A compound

R E F E R E N C E S S 117 7 [48]] D . H. B I L D E R B A C K J S . A. H O F F M A N , a n d D . J. T H I E L , Nanometer

spatial-resolutionresolution achieved in hard x-ray imaging and laue diffraction experiments,

Sciencee 263, 201 (1994).

[49]] W . J A R K , S. D I F O N Z O , S. L A G O M A R S I N O , A . C E D O L A , E . D I F A B R I Z I O ,

A.. B R A M , and C. RlEKEL, Properties of a submicrometer x-ray beam at the

exitexit of a waveguide, J. Appl. Phys. 8 0 , 4831 (1996).

[50]] M . S U T T O N , S. G. J . M O C H R I E , T . G R E Y T A K , S. E . N A G L E R , L. E .

B E R M A N ,, G. A. H E L D , and G. B . S T E P H E N S O N , Observation of speckle

byby diffraction with coherent x-rays, Nature 3 5 2 , 608 (1991).

[51]] T . T H U R N A L B R E C H T , G. M E I E R , P . M Ü L L E R B U S C H B A U M , A . P A T K O W -S K I ,, W . -S T E F F E N , G. G R Ü B E L , D . L. A B E R N A T H Y , O. D I A T , M . W I N T E R ,

M.. G. K O C H , and M . T . R E E T Z , Structure and dynamics of

surfactant-stabilizedstabilized aggregates of palladium nanoparticles under dilute and semidilute conditions:conditions: Static and dynamic x-ray scattering, Phys. Rev. E 5 9 , 642 (1999).

[52]] S. L A G O M A R S I N O , A . C E D O L A , P . C L O E T E N S , S. D I F O N Z O , W . J A R K ,

G.. S O U L L I E , and C. R I E K E L , Phase contrast hard x-ray microscopy with

submicronsubmicron resolution, Appl. Phys. Lett. 7 1 , 2557 (1997).

[53]] M . J . Z W A N E N B U R G , J . F . P E T E R S , J . H. H. B O N G A E R T S , S. A. D E V R I E S ,

D.. L . A B E R N A T H Y , and J . F . VAN D E R V E E N , Coherent propagation of x

raysrays in a planar waveguide with a tunable air gap, Phys. Rev. Lett. 8 2 , 1696

(1999). .

[54]] C . - J . Y u , A. G. R I C H T E R , A. D A T T A , M . K. D U R B I N , and P . D U T T A ,

ObservationObservation of molecular layering in thin liquid films using x-ray reflectivity,

Phys.. Rev. Lett. 8 2 , 2326 (1999).

[55]] B . N . J. PERSSON and E . TOSATTI, Layering transition in confined molecular

thinthin films: Nucleation and growth, Phys. Rev. B 5 0 , 5590 (1994).

[56]] B . B U S H AN, J . N . I S R A E L A C H V I L I , a n d U. L A N D M A N , Nanotribology:

118 8 REFERENCES S [57]] J. N. ISRAELACHVILI and P. M. McGuiGGAN, Adhesion and short-range

forcesforces between surfaces, part i: New apparatus for surface force measurements,

J.. Mater. Res. 5, 2223 (1990).

[58]] S. H. J. IDZIAK, I. KOLTOVER, J. N. ISRAELACHVILI, and C. R. SAFINYA,

StructureStructure in a confined smectic liquid crystal with competing surface and sam-pleple elasticities, Phys. Rev. Lett. 76, 1477 (1996).

[59]] In-plane x-ray diffraction data (not shown) confirmed the formation of a close-packedd structure.

[60]] D. J. COURTEMANCHE and F. VAN SwOL, Wetting state of a crystal-fluid

systemsystem of hard spheres, Phys. Rev. Lett. 69, 2078 (1992).

[61]] Least-square fits of the intensities integrated along cross-diagonal lines 6e +

9i9i =const. revealed that a 5% deviation of the coefficients a^ and a§ from

theirr best-fit values causes the residuals to increase by 10% and some of the individuall mode intensities to change by as much as 100%. We take a 5% deviationn as our error margin on the above coefficients as well as on the coefficientt OQ.

[62]] In the measurements, rapid intensity modulations are seen, which we attribute too the formation of standing waves between the Al layers at much wider spacing. .

[63]] P. N. PUSEY and W. VAN MEGEN, Phase behaviour of concentrated

suspen-sionssions of nearly hard colloidal spheres, Nature 320, 340 (1986).

[64]] Our present planar waveguide does not support guided modes at gaps below ~200 nm.