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2021 | OriginalPaper | Chapter

2. Fundamentals of Effective Materials and Diffractive Optics

Author : Daniel Werdehausen

Published in: Nanocomposites as Next-Generation Optical Materials

Publisher: Springer International Publishing

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Abstract

In this chapter, I introduce the fundamental concepts and relationships from the different fields, including electrodynamics, optical design, materials science, and diffractive optics, which are central to the following chapters. This chapter is not intended to replace a textbook but should rather serve as a reference, which provides the readers with the relevant basics of fields with which they are not familiar.

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G. Russakoff, A derivation of the macroscopic Maxwell equations. Am. J. Phys. 38(10), 1188–1195 (1970)CrossRef

J.D. Jackson, Classical Electrodynamics, 3rd edn. (Wiley, New York, 1999)

D. Werdehausen, S. Burger, I. Staude, T. Pertsch, M. Decker, Dispersion-engineered nanocomposites enable achromatic diffractive optical elements. Optica 6(8), 1031 (2019)

J. Mistrik, S. Kasap, H. E. Ruda, C. Koughia, J. Singh, Optical properties of electronic materials: fundamentals and characterization, in Springer Handbook of Electronic and Photonic Materials, ed. by P. Kasap Safa Capper (Springer, Cham, 2017), p. 1

H. Gross, W. Singer, M. Totzeck, F. Blechinger, B. Achtner, Handbook of Optical Systems, vol. 1 (Wiley-VCH, Berlin, 2005)CrossRef

T. Stone, N. George, Hybrid diffractive-refractive lenses and achromats. Appl. Opt. 27(14), 2960–71 (1988)CrossRef

C.F. Bohren, D.R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 2008)

X.G. Santiago, M. Hammerschmidt, S. Burger, C. Rockstuhl, I. Fernandez-Corbaton, L. Zschiedrich, Decomposition of scattered electromagnetic fields into vector spherical wave functions on surfaces with general shapes. Phys. Rev. B 99(4), 045406 (2019)

I. Fernandez-Corbaton, D. Beutel, C. Rockstuhl, A. Pausch, W. Klopper, Computation of electromagnetic properties of molecular ensembles. Chem. Phys. Chem. 21, 878 (2020)

10.

D. Theobald, A. Egel, G. Gomard, U. Lemmer. Plane-wave coupling formalism for T-matrix simulations of light scattering by nonspherical particles. Phys. Rev. B 96(3), 033822 (2017)

11.

M.I. Mishchenko, L. Liu, D.W. Mackowski, B. Cairns, G. Videen, Multiple scattering by random particulate media: exact 3D results. Opt. Exp. 15(6), 2822–2836 (2007)CrossRef

12.

M.I. Mishchenko, L.D. Travis, A. Macke, Scattering of light by polydisperse, randomly oriented, finite circular cylinders. Appl. Opt. 35(24), 4927–4940 (1996)CrossRef

13.

G. Mie, Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen. Annalen der Physik 330(3), 377–445 (1908)CrossRef

14.

V.A. Markel, Introduction to the Maxwell Garnett approximation: tutorial. J. Opt. Soc. Am. A 33(7), 1244–1256 (2016)CrossRef

15.

P. Mallet, C.-A. Guérin, A. Sentenac. Maxwell-Garnett mixing rule in the presence of multiple scattering: Derivation and accuracy. Phys. Rev. B 72(1), 014205 (2005)

16.

W.T. Doyle, Optical properties of a suspension of metal spheres. Phys. Rev. B 39(14), 9852 (1989)

17.

R. Ruppin, Evaluation of extended Maxwell-Garnett theories. Opt. Commun. 182(4), 273–279 (2000)CrossRef

18.

J.M.G. Cowie, V. Arrighi, Polymers: Chemistry and Physics of Modern Materials (CRC Press, Boca Raton, 2007)CrossRef

19.

S. Li, M. Meng Lin, M.S. Toprak, D.K. Kim, M. Muhammed. Nanocomposites of polymer and inorganic nanoparticles for optical and magnetic applications. Nano Rev. 1(1), 5214

20.

S.K. Kumar, R. Krishnamoorti, Nanocomposites: structure, phase behavior, and properties. Ann. Rev. Chem. Biomolecular Eng. 1(1), 37–58 (2010)

21.

G. Kickelbick, The search of a homogeneously dispersed material-the art of handling the organic polymer/metal oxide interface. J. Sol-Gel Sci. Technol 46(3), 281–290 (2008)CrossRef

22.

P. Tao, Y. Li, A. Rungta, A. Viswanath, J. Gao, B.C. Benicewicz, R.W. Siegel, L.S. Schadler, TiO2 nanocomposites with high refractive index and transparency. J. Mater. Chem. 21(46), 18623–18629 (2011)CrossRef

23.

P.H.C. Camargo, K.G. Satyanarayana, F. Wypych, Nanocomposites: synthesis, structure, properties and new application opportunities. Mater. Res. 12, 1–39 (2009)CrossRef

24.

S.G. Advani, K.-T. Hsaio, Manufacturing Techniques for Polymer Matrix Composites (Woodhead Publishing Limited, 2012)

25.

Z. Chen, Pixelligent Zirconia Nano-Crystals for OLED applications, in White Paper (2014)

26.

D. Russel, A. Stabell. Scaling-up pixelligent nanocrystal dispersions, in White Paper (2016)

27.

Z. Chen, J. Wang, Pixelligent internal light extraction layer for OLED lighting, in White Paper (2014)

28.

Z. Chen, S. Monickam, M. Weinstein, Low chromatic aberration nanocomposite, in White Paper (2015)

29.

C.A. Palmer, E.G. Loewen, Diffraction Grating Handbook (Newport Corporation New York, 2005)

30.

T. Nakai, Diffractive Optical Element. Patent US6587272 (1999)

31.

H. Ukuda, Optical material, and, optical element, optical system and laminated diffractive optical element using it. Patent US20050110830 (2005)

32.

S. Thiele, C. Pruss, A.M. Herkommer, H. Giessen, 3D printed stacked diffractive microlenses, in Opt. Exp. 27(24), 35621 (2019)

33.

M.T. Gale, Replication techniques for diffractive optical elements. Microelectron. Eng. 34(3–4), 321–339 (1997)CrossRef

34.

T. Nakai, H. Ogawa, Research on multi-layer diffractive optical elements and their application to camera lenses, in Diffractive Optics and Micro-Optics. Optical Society of America, DMA2 (2002)

35.

B.H. Kleemann, M. Seesselberg, J. Ruoff, Design concepts for broadband high-efficiency DOEs. J. Eur. Opt. Soc. Rapid Pub. 3 (2008)

36.

M. Seesselberg, J. Ruoff, B.H. Kleemann, Diffractive optical element for colour sensor has multiple successive curvatures structure at right angles to extension direction. Patent DE102006007432 (2007)

37.

J.M. Trapp, M. Decker, J. Petschulat, T. Pertsch, T.G. Jabbour, Design of a 2 diopter holographic progressive lens. Opt. Exp. 26(25), 32866–32877 (2018)CrossRef

38.

W.C. Sweatt. Describing holographic optical elements as lenses. J. Opt. Soc. Am. 67(6), 803 (1977)

39.

J.M. Trapp, T.G. Jabbour, G. Kelch, T. Pertsch, M. Decker, Hybrid refractive holographic single vision spectacle lenses. J. Eur. Opt. Soc.-Rapid Pub. 15(1), 14 (2019)

40.

G.J. Swanson, Binary Optics Technology: The Theory and Design of Multi-Level Diffractive Optical Elements (Report, Lincoln Laboratory Massachusetts Institute of Technology, 1989)

41.

S. Banerji, M. Meem, A. Majumder, F.G. Vasquez, B. Sensale-Rodriguez, R. Menon. Imaging with flat optics: metalenses or diffractive lenses? Opt. 6(6), 805 (2019)

42.

G. Kim, J.A. Dominguez-Caballero, R. Menon, Design and analysis of multi-wavelength diffractive optics. Opt. Exp. 20(3), 2814–23 (2012)CrossRef

43.

N. Mohammad, M. Meem, X. Wan, R. Menon, Full-color, large area, transmissive holograms enabled by multi-level diffractive optics, Sci. Rep. 7(1), 5789 (2017)

44.

P. Wang, N. Mohammad, R. Menon, Chromatic-aberration-corrected diffractive lenses for ultra-broadband focusing. Sci. Rep. 6, 21545 (2016)

45.

P. Lalanne, Waveguiding in blazed-binary diffractive elements. J. Opt. Soc. Am. A 16(10), 2517 (1999)

46.

P. Lalanne, S. Astilean, P. Chavel, E. Cambril, H. Launois. Blazed binary subwavelength gratings with efficiencies larger than those of conventional échelette gratings, Opt. Lett. 23(14), 1081 (1998)

47.

P. Lalanne, S. Astilean, P. Chavel, E. Cambril, H. Launois, Design and fabrication of blazed binary diffractive elements with sampling periods smaller than the structural cutoff. J. Opt. Soc. Am. A 16(5), 1143–1156 (1999)CrossRef

48.

P. Lalanne, P. Chavel, Metalenses at visible wavelengths: past, present, perspectives. Laser Photonics Rev. 11(3), 1600295 (2017)

49.

P. Lalanne, J.P. Hugonin, P. Chavel, Optical properties of deep lamellar Gratings: a coupled Bloch-mode insight. J. Lightwave Technol. 24(6), 2442–2449 (2006)CrossRef

50.

M.-S. L. Lee, P. Lalanne, J.-C. Rodier, E. Cambril, Wide-field-angle behavior of blazed-binary gratings in the resonance domain. Opt. Lett. 25(23), 1690 (2000)

51.

C. Ribot, M.-S.L. Lee, S. Collin, S. Bansropun, P. Plouhinec, D. Thenot, S. Cassette, B. Loiseaux, P. Lalanne, Broadband and efficient diffraction. Adv. Opt. Mater. 1(7), 489–493 (2013)CrossRef

52.

C. Sauvan, P. Lalanne, M.-S. L. Lee. Broadband blazing with artificial dielectrics. Opt. Lett. 29(14), 1593 (2004)

53.

Y. Arieli, S. Noach, S. Ozeri, N. Eisenberg, Design of diffractive optical elements for multiple wavelengths. Appl. Opt. 37(26), 6174 (1998)

54.

Y. Arieli, S. Ozeri, N. Eisenberg, S. Noach, Design of a diffractive optical element for wide spectral bandwidth. Opt. Lett. 23(11), 823 (1998)

55.

D.A. Buralli, G.M. Morris, Effects of diffraction efficiency on the modulation transfer function of diffractive lenses. Appl. Opt. 31(22), 4389–96 (1992)CrossRef

56.

J.A. Davison, M.J. Simpson, History and development of the apodized diffractive intraocular lens. J. Cataract Refractive Surgery 32(5), 849–58 (2006)CrossRef

57.

D. Faklis, G.M. Morris, Spectral properties of multiorder diffractive lenses. Appl. Opt. 34(14), 2462–2468 (1995)CrossRef

58.

A.J. Glass, K.J. Weible, A. Schilling, H.P. Herzig, D.R. Lobb, J.W. Goodman, M. Chang, A.H. Guenther, T. Asakura, Achromatization of the diffraction efficiency of diffractive optical elements, in Proceedings SPIE 3749, 18th Congress of the International Commission for Optics, vol. 3749 (1999), pp. 378–379

59.

G.I. Greisukh, E.G. Ezhov, A.V. Kalashnikov, S.A. Stepanov, Diffractive-refractive correction units for plastic compact zoom lenses. Appl. Opt. 51(20), 4597–604 (2012)CrossRef

60.

G.I. Greisukh, E.G. Ezhov, S.A. Stepanov, Diffractive-refractive hybrid corrector for achroand apochromatic corrections of optical systems. Appl. Opt. 45(24), 6137 (2006)

61.

C. Londono, P.P. Clark, Modeling diffraction efficiency effects when designing hybrid diffractive lens systems. Appl. Opt. 31(13), 2248–52 (1992)CrossRef

62.

M.D. Missig, G.M. Morris, Diffractive optics applied to eyepiece design. Appl. Opt. 34(14), 2452–61 (1995)CrossRef

63.

E. Noponen, J. Turunen, A. Vasara, Parametric optimization of multilevel diffractive optical elements by electromagnetic theory. Appl. Opt. 31(28), 5910–2 (1992)CrossRef

64.

D.W. Sweeney, G.E. Sommargren, Harmonic diffractive lenses. Appl. Opt. 34(14), 2469–2475 (1995)CrossRef

65.

T.K. Gaylord, M.G. Moharam, Analysis and applications of optical diffraction by gratings. Proc. IEEE 73(5), 894–937 (1985)CrossRef

66.

O. Sandfuchs, R. Brunner, D. Pätz, S. Sinzinger, J. Ruoff, Rigorous analysis of shadowing effects in blazed transmission gratings. Opt. Lett. 31(24), 3638 (2006)

67.

S. Schmidt, S. Thiele, A. Herkommer, A. Tunnermann, H. Gross, Rotationally symmetric formulation of the wave propagation method-application to the straylight analysis of diffractive lenses. Opt. Lett. 42(8), 1612–1615 (2017)CrossRef

68.

D. Werdehausen, S. Burger, I. Staude, T. Pertsch, M. Decker, Flat optics in high numerical aperture broadband imaging systems. J. Opt. 22(6), 065607 (2020)

69.

Schott, Optical Glass 2020. Tech. rep. Schott AG (2020)

70.

N. Sultanova, S. Kasarova, I. Nikolov, Dispersion properties of optical polymers. Acta Phys. Polonica-Series A General Phys. 116(4), 585 (2009)

Title: Fundamentals of Effective Materials and Diffractive Optics
Author: Daniel Werdehausen
Publisher: Springer International Publishing
Book: Nanocomposites as Next-Generation Optical Materials
Print ISBN: 978-3-030-75683-3

Electronic ISBN: 978-3-030-75684-0

Copyright Year: 2021
DOI: https://doi.org/10.1007/978-3-030-75684-0_2