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1

Müller-Hoissen, Folkert, Jean Marcel Pallo, and Jim Stasheff, eds. Associahedra, Tamari Lattices and Related Structures. Basel: Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0405-9.

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2

Fuentes, Benjamin J. Optical lattices: Structures, atoms, and solitons. Hauppauge, N.Y: Nova Science Publishers, 2012.

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3

Galvin, Brian Russell. Numerical studies of localized vibrating structures in nonlinear lattices. Monterey, Calif: Naval Postgraduate School, 1991.

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4

International Conference on Modulated Semiconductor Structures (3rd 1987 Montpellier, France). 3rd International Conference on Modulated Semiconductor Structures, 6-10 July 1987, Montpellier, France. Cedex: Editions de Physique, 1987.

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5

1956-, Strien Sebastian van, Verduyn Lunel S. M, and Koninklijke Nederlandse Akademie van Wetenschappen. Afdeling Natuurkunde., eds. Stochastic and spatial structures of dynamical systems: Proceedings of the colloquium, Amsterdam, 26-27 January 1995. Amsterdam: North-Holland, 1996.

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6

C, McGill T. Device Physics of Superlattices and Small Structures. Ft. Belvoir: Defense Technical Information Center, 1987.

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7

H, Sowa, ed. Cubic structure types described in their space groups with the aid of frameworks. Karlsruhe, [West Germany]: Fachinformationszentrum Energie, Physik, Mathematik, 1985.

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8

Leung, Henry Hon Hung. Trellis structure and decoding of lattices. Ottawa: National Library of Canada, 1994.

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9

American Society of Civil Engineers., ed. Design of latticed steel transmission structures. Reston, Va: American Society of Civil Engineers, 2000.

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10

American Society of Civil Engineers. Design of latticed steel transmission structures. Reston, Virginia: American Society of Civil Engineers, 2015.

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11

Zhu, K. Nonlinear dynamic analysis of lattice structures. Brisbane: Department of Civil Engineering, University of Queensland, 1992.

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12

Zhu, K. Nonlinear dynamic analysis of lattice structures. Brisbane: Universityof Queensland, Dept. of Civil Engineering, 1990.

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13

service), SpringerLink (Online, ed. Cardinal Invariants on Boolean Algebras. Basel: Birkhäuser Basel, 2010.

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14

A, Riber K., Halmos Paul, Axler Sheldon Jay, and SpringerLink (Online service), eds. Introduction to Boolean Algebras. New York, NY: Springer New York, 2009.

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15

Cioranescu, D. Homogenization of reticulated structures. New York: Springer, 1999.

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16

Beckh, Matthias. Hyperbolic structures. Chichester, West Sussex, United Kingdom: John Wiley & Sons Inc., 2014.

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17

Akademii͡a nauk SSSR. I͡Akutskiĭ nauchnyĭ t͡sentr. Otdel prikladnoĭ matematiki i vychislitelʹnoĭ tekhniki, ed. Matematicheskie metody sinteza mnogosloĭnykh struktur pri vozdeĭstvii voln. I͡Akutsk: I͡Akutskiĭ nauchnyĭ t͡sentr SO AN SSSR, 1990.

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18

West, Harry H. Analysis of structures: An integration of classical and modern methods. 2nd ed. New York: Wiley, 1989.

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19

Mitrjushkin, V., and G. Schierholz, eds. Lattice Fermions and Structure of the Vacuum. Dordrecht: Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-011-4124-6.

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20

Mitrjushkin, V. Lattice Fermions and Structure of the Vacuum. Dordrecht: Springer Netherlands, 2000.

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21

V, Mitrjushkin, Schierholz G, and NATO Advanced Research Workshop on Lattice Fermions and Structure of the Vacuum (1999 : Dubna, Chekhovskiĭ raĭon, Russia), eds. Lattice fermions and structure of the vacuum. Dordrecht: Kluwer Academic Publishers, 2000.

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22

V, Mitrjushkin, Schierholz G, and NATO Advanced Research Workshop on Lattice Fermions and Structure of the Vacuum (1999 : Dubna, Chekhovskiĭ raĭon, Russia), eds. Lattice fermions and structure of the vacuum. Dordrecht: Kluwer Academic Publishers, 2000.

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23

Nicola, Olivetti, and Gabbay Dov M. 1945-, eds. Proof theory for fuzzy logics. [Dordrecht]: Springer, 2009.

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24

Lattices and Ordered Algebraic Structures. Springer, 2005.

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25

Lattices and Ordered Algebraic Structures. London: Springer-Verlag, 2005. http://dx.doi.org/10.1007/b139095.

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26

Blyth, T. S. Lattices and Ordered Algebraic Structures. Springer, 2010.

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27

Shoji, Satoru, Remo Proietti Zaccaria, and Satoshi Kawata. Holographic laser processing for three-dimensional photonic lattices. Edited by A. V. Narlikar and Y. Y. Fu. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199533053.013.9.

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This article describes a holographic laser-processing method for independently controlling the lattice symmetry and lattice constant in three-dimensional photonic lattices. With this approach, optical periodicity is created in lower dimensions and three-dimensional periodicity is obtained by a combination of several lower-dimensional periodic structures. The proposed holographic laser-processing method is compared with the standard four-beam technique. Examples of experimental demonstration achieved in photosensitive polymers are given. The article also introduces a multiphoton direct-writing technique for creating defect structures in lattices towards production of defect cavity-functionalized photonic crystal devices. It shows that all Bravais lattices can be produced by choosing proper incident vectors of laser beams. The lattice constant of the structure can be changed without distorting its lattice symmetry and lattice elements.
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28

Lattices and Ordered Algebraic Structures (Universitext). Springer, 2005.

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29

Roman, Steven. Lattices and Ordered Sets. Springer, 2010.

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30

Roman, Steven. Lattices and Ordered Sets. Springer London, Limited, 2008.

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31

Ladd, M. Crystal Structures: Lattices and Solids in Stereoview. Elsevier Science & Technology, 1999.

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32

Crystal structures: Lattices and solids in stereoview. Chichester: Horwood, 1999.

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33

Nanophotonic Structures And Materials. John Wiley & Sons Inc, 2014.

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34

Associahedra Tamari Lattices And Related Structures Tamari Memorial Festschrift. Birkh User, 2012.

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35

Pallo, Jean Marcel, Folkert Müller-Hoissen, and Jim Stasheff. Associahedra, Tamari Lattices and Related Structures: Tamari Memorial Festschrift. Birkhäuser, 2014.

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36

Grätzer, George, and Friedrich Wehrung. Lattice Theory : Special Topics and Applications: Volume 2. Birkhauser Verlag, 2016.

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37

Wehrung, Friedrich, and George Gratzer. Lattice Theory : Special Topics and Applications: Volume 2. Birkhäuser Boston, 2016.

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38

Lattice Theory : Special Topics and Applications: Volume 1. Birkhäuser, 2014.

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39

Lattice Theory : Special Topics and Applications: Volume 1. Birkhäuser Boston, 2014.

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40

Wave propagation in periodic structures: Electric filters and crystal lattices. 2nd ed. Mineola, N.Y: Dover Publications, 2003.

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41

Dwinger, Philip, Jorge Almeida, and Gabriela Bordalo. Lattices, Semigroups, and Universal Algebra. Springer, 2013.

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42

Lattices, Semigroups, and Universal Algebra. Springer, 2013.

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43

Hwang, Ruey-Bing. Periodic Structures. Wiley & Sons, Incorporated, John, 2012.

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44

Associahedra, Tamari Lattices and Related Structures: Tamari Memorial Festschrift (Progress in Mathematics Book 299). Birkhäuser, 2012.

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45

Harzheim, Egbert. Ordered Sets. Springer, 2010.

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46

Ordered Sets. Springer London, Limited, 2007.

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47

Hwang, Ruey-Bing. Periodic Structures: Mode-Matching Approach and Applications in Electromagnetic Engineering. Wiley & Sons, Incorporated, John, 2012.

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48

Hwang, Ruey-Bing. Periodic Structures: Mode-Matching Approach and Applications in Electromagnetic Engineering. Wiley & Sons, Incorporated, John, 2012.

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49

Hwang, Ruey-Bing. Periodic Structures: Mode-Matching Approach and Applications in Electromagnetic Engineering. Wiley-IEEE Press, 2012.

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50

Hwang, Ruey-Bing. Periodic Structures: Mode-Matching Approach and Applications in Electromagnetic Engineering. Wiley & Sons, Incorporated, John, 2012.

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