Alexander Moroz - Scientific Publications *
Core-shell (nano)particles * Nanoshells * Multilayered sphere *
Spheres, spheroids, rods, pillar, cylinders, Chebyshev particles *
T-matrix code * Photonic crystals of nanoparticles * Optical trapping *
Lattice sums * Ewald summation *
Aharonov-Bohm scattering * Divergent series
My Scientific Publications
Publications on plasmonic properties of single metal nanoparticles
- A. Moroz, Electron mean-free path in metal coated nanowires,
J. Opt. Soc. Am. B 28(5), 1130-1138 (2011).
(The article has been supplemented with a detailed
Supporting Information. See also an accompanying F77 code fsc2d.f to calculate the mean-free path for various model cases discussed in the article.)
- A. Moroz, Localized resonances of composite particles,
J. Phys. Chem. C 113(52), 21604-21610 (2009).
(Among other demonstrates that any composite which
justifies an effective-medium Maxwell-Garnett description
is in fact an artificial polaritonic like medium.)
- A. Moroz, Depolarization field of spheroidal particles,
J. Opt. Soc. Am. B 26(3), 517-527 (2009).
(Shows that the hypothesis of a uniform polarization within
a spheroidal particle is incompatible with the exact limit of polarizability in the small particle limit up to the order x**2 when the size parameter x--> 0. Accompanying F77 code sphrd.f
to determine extinction efficiency
in various long-wavelength approximations discussed in the article.
See here for on-line supplementary material.
See also my worksheet involving some intermediary calculations.)
- A. Moroz, Electron mean-free path in a spherical shell geometry,
J. Phys. Chem. C 112(29), 10641-10652 (2008).
(The article has been supplemented with a detailed
Electronic Supporting Information. See also an accompanying F77 code fsc.f to calculate the mean-free path
for various model cases discussed in the article.)
- J. J. Penninkhof, L. A. Sweatlock, A. Moroz, H. A. Atwater,
A. van Blaaderen, and A. Polman,
Optical cavity modes in gold shell colloids,
J. Appl. Phys. 103(12), 123105 (2008).
(Accompanying F77 code sphere.f; read compilation and further instructions here.
Download cavity.ppt to play a movie of cavity modes.)
- J. J. Penninkhof, A. Moroz, A. Polman, and A. van Blaaderen,
Optical properties of spherical and oblate spheroidal gold shell colloids,
J. Phys. Chem. C 112(11), 4146-4150 (2008). [story behind this article]
(Accompanying F77 code sphere.f;
read compilation and further instructions here.)
- A. Moroz, Improvement of Mishchenko's T-matrix code for absorbing
particles,
Appl. Opt. 44(17),
3604-3609 (2005).
(Accompanying F77 code is available here together with
routines zger.f and zsur.f;
see also routines zge.f and zsu.f
for multiplication from the other side.)
Publications on basic quantum-optics models
- A. Moroz, On a fully compensated formula for cubic roots, in preparation.
- A. Moroz, On algebraic solvability of the Rabi model in any finite precision
arithmetic, submitted for publication.
[arXiv:1305.2595 [quant-ph]]
- A. Moroz, On solvability and integrability of the Rabi model,
submitted to Ann. Phys. (N.Y.).
[arXiv:1302.2565 [quant-ph]]
- A. Moroz, On unorthodox solutions of the Bloch equations,
submitted for publication.
[arXiv:1208.5736 [quant-ph]]
- A. Moroz, On the spectrum of a class of quantum models,
Europhys. Lett. 100, 60010 (2012).
[arxiv:1209.3265 [quant-ph]]
- A. Moroz, Comment on ``Integrability of the Rabi model"
[arXiv:1205.3139 [quant-ph]].
(An extensive supplementary information including the F77 source code
rabif.f
can be found here.)
Publications on modified fluorescence and
decay rates of atoms interacting with simple (metal) nanoparticles
- C. Graf, D. J. van den Heuvel, A. Moroz, H. C. Gerritsen,
and A. van Blaaderen, Enhanced photostability and reduced lifetimes
of dye molecules in colloidal gold shell particles,
in preparation.
- G. P. Acuna, M. Bucher, I. Stein, C. Steinhauer, A. Kuzyk,
P. Holzmeister, R. Schreiber, A. Moroz, F. D. Stefani,
T. Liedl, F. Simmel, and P. Tinnefeld,
Distance dependence of single-fluorophore quenching by gold nanoparticles studied on DNA origami,
ACS Nano
6(4), 3189-3195 (2012).
- A. Moroz, A superconvergent representation of the Gersten-Nitzan and Ford-Weber
nonradiative rates,
J. Phys. Chem. C 115(40),
19546-19556 (2011).
[arXiv:1108.2884]
(Provides alternative representations of the quasistatic nonradiative
rates, which comprise four elementary analytic functions
and a modified multipole series taking into account
residual multipole contributions. The analytic functions could be
arranged hierarchically according to decreasing singularity at the short
distance limit d --> 0, ranging from d**(-3) over d**(-1) to log (d/a).
An extensive supplementary information including the F77 source code
gn.f
can be found here.)
- A. Moroz, Non-radiative decay of a dipole emitter close to a metallic nanoparticle:
Importance of higher-order multipole contributions,
Opt. Commun. 283(10), 2277-2287 (2010).
[arXiv:0909.4878]
(Shows importance of the size correction to a metal dielectric function in describing the non-radiative rates near the dipolar surface plasmon resonance. Accompanying F77 code CRMNT and limited MS Windows
executable.)
- A. Moroz, Spectroscopic properties of a two-level atom
interacting with a complex spherical nanoshell,
Chem. Phys. 317(1), 1-15 (2005).
(published online on 9th August 2005)
[quant-ph/0412094]
(see its on-line Appendix A for a MS Windows executable; source F77 code CHEWFS)
- A. Moroz, A recursive transfer-matrix solution for a
dipole radiating inside and outside a stratified sphere,
Ann.
Phys. (NY) 315(2), 352-418 (2005). (published online on 7th October 2004)
[story behind this article]
(accompanying F77 code CHEW and limited MS Windows
executable.)
- M. J. A. de Dood, L. H. Slooff, A. Moroz, A. Polman, and A. van Blaaderen,
Modified spontaneous emission in erbium-doped SiO2 spherical colloids,
Appl. Phys. Lett. 79, 3585-3587 (2001).
[pdf]
(Shows importance of the concentration quenching for a reliable description
of spontaneous emission.)
- M. J. A. de Dood, L. H. Slooff, A. Moroz, A. Polman, and A. van Blaaderen,
Local optical density of states in SiO2 spherical microcavities:
theory and experiment,
Phys.
Rev. A 64, 033807 (2001).
[pdf]
Publications on optical tweezers
- A. van der Horst, P. D. J. van Oostrum, A. Moroz, A. van Blaaderen, and M. Dogterom,
High-refractive index particles
trapped in dynamic arrays of dual-beam optical tweezers,
Appl. Opt. 47(17),
3196-3202 (2008).
(See accompanying F77 code opttrap.f; for compilation and
further instructions see here.)
- A. Moroz, Metallo-dielectric diamond and zinc-blende photonic
structures,
Phys. Rev. B 66, 115109 (2002).
[cond-mat/0209188]
[pdf]
(See discussion subsection "Fabrication" and Fig. 23 therein for
the optical trapping of metal core-dielectric shell particles.)
Publications on exponentially convergent lattice sums and on general aspects of diffraction and scattering
of classical and quantum waves off periodic structures
- A. Moroz, Multem for complex lattices and coated particles,
in preparation.
- A. Moroz, An efficient method for the scattering and diffraction
of classical and quantum waves in two dimensions, in preparation.
- A. Moroz and H. van der Lem, Korringa-Kohn-Rostoker method in two
dimensions, in preparation.
- A. Moroz, On layer Korringa-Kohn-Rostoker method in two dimensions,
in preparation.
- A. Moroz, Quasi-periodic Green's functions of the Helmholtz and Laplace equations,
J. Phys. A: Math. Gen.
39, 11247-11282 (2006).
[erratum]
[math-ph/0602021]
[supplementary information]
[Provides a unified treatment of all the subperiodic cases
(i.e. 1D and 2D periodicity in 3D,
together with 1D periodicity in 2D) within
the spirit of Kambe's approach and shows how to derive
all the results for the separate
lattice sums in a single go.]
- A. Moroz, On the computation of the free-space doubly-periodic
Green's function of the three-dimensional Helmholtz equation,
J. Electromagn. Waves Appl. 16, 457-465 (2002).
[Routine dlsumf2in3.f
for the calculation of Kambe's lattice sums and code gff2in3.f. The latter can be used
as a main code that generates
the lattice points, calls the routines that calculate
spherical harmonics and spherical Bessel functions, and helps you to obtain
the free-space Green's function given the total lattice sum D_L
generated by dlsumf2in3.f.
Supplementary information.]
- A. Moroz, Exponentially convergent lattice sums,
Opt. Lett. 26(15),
1119-1121 (2001).
[pdf]
(Accompanying F77 code OLA;
supplementary information)
Publications on metallic, metallo-dielectric, and purely dielectric photonic crystals, and metamaterials
- A. Moroz, An optimization study of two dimensional
photonic crystals, in preparation.
- A. Moroz, Raul Garcia Esparza, and Peter de Maagt,
Wide Bandwith Artificial Magnetic Conductor, in preparation.
- E. C. M. Vermolen, J. H. J. Thijssen, A. Moroz, M. Megens, and A. van Blaaderen,
Comparing photonic band structure calculation methods for diamond and pyrochlore crystals,
Optics Express 17(9), 6952-6961 (2009).
- V. Yannopapas and A. Moroz, Negative refractive index metamaterials
from inherently non-magnetic materials for deep infrared to terahertz frequency ranges,
J. Phys.: Condens. Matter. 17(25), 3717-3734 (2005).
(minor erratum)
[pdf]
(accompanying F77 code EFFE2P;
supplementary information)
- D. A. Mazurenko, A. Moroz, C. M. Graf, A. van Blaaderen, and
J. I. Dijkhuis, Three-dimensional silica-gold core-shell photonic crystal:
linear reflection and ultrafast non-linear optical properties,
Photonic Crystal Materials and Nanostructures, Photonics Europe 2004,
Proceedings of SPIE Vol. 5450 (2004), pp. 569-577.
[pdf]
(for further details see D. A. Mazurenko
PhD thesis on Ultrafast optical switching in three-dimensional photonic crystals;
Sec. 5 describes linear optical properties of a core-shell silica-gold photonic crystal,
Sec. 6 elaborates on ultrafast dynamics in a silica-gold core-shell photonic crystal,
and Sec. 7 is devoted to coherent vibrations of submicron gold shells.)
- I. Ederra, R. Gonzalo, C. Mann, A. Moroz, and P. de Maagt,
(Sub)mm-Wave Components and Subsystems based on
EBG Technology, Proceedings of
International Conference on Electromagnetics in Advanced Applications (ICEAA 2003)
8.-12.09.2003 Torino, Italy, pp. 643-646. [pdf]
(Herein a 3D photonic LKKR calculations with non-spherical particles were
performed for the very first time.)
- K. P. Velikov, W. L. Vos, A. Moroz, and A. van Blaaderen,
Metallo-dielectric photonic glasses,
Phys. Rev. B 69, 075108 (2004).
[pdf]
- H. van der Lem, A. Moroz, and A. Tip, Band structure of absorptive
two-dimensional photonic crystals,
J. Opt. Soc.
Am. B 20, 1334-1341 (2003).
[pdf]
- V. Poborchii, T. Tada, T. Kanayama, and A. Moroz,
Silver-coated silicon-pillar photonic crystals: enhancement
of a photonic band gap,
Appl. Phys. Lett. 82, 508-510 (2003).
[pdf]
(try MS Windows executable rta1in2k.exe)
- A. Moroz, Metallo-dielectric diamond and zinc-blende photonic
structures,
Phys. Rev. B 66, 115109 (2002).
[cond-mat/0209188]
[pdf]
(supplementary information)
- A. Moroz, Photonic crystals with small metal inclusions, Photonics Prague 2002,
Proceedings of
SPIE Vol. 5036 (2003), pp. 407-412.
[pdf]
- A. Moroz, Photonic crystals at near-infrared and optical wavelengths,
in ``Organic Optoelectronic Materials, Processing and Devices",
Proceedings of
the MRS Fall Meeting 2001 - BB symposium, contribution K7.5.
[pdf]
- K. P. Velikov, A. Moroz, and A. van Blaaderen, Photonic crystals of core-shell
colloidal particles,
Appl. Phys. Lett. 80, 49-51 (2002).
[pdf]
- M. J. A. de Dood, E. Snoeks, A. Moroz, and A. Polman,
Design and optimization of 2D photonic crystal waveguides based on silicon,
IEE Opt.
Quant. Elec. 34(1-3), 145-159 (2002).
[pdf]
- A. Moroz, Towards complete photonic band gap
structures below infrared wavelengths, Proceedings of the NATO ASI
Photonic Crystals and Light Localization in the
21st Century (Kluwer, Dordrecht, 2001), pp. 373-382.
- M. J. A. de Dood, L. H. Slooff, T. M. Hensen, D. L. J. Vossen, A. Moroz, T. Zijlstra,
E. W. J. M. van der Drift, A. van Blaaderen, and A. Polman,
1, 2 and 3 dimensional photonic materials made using ion beams: Fabrication and optical
density of states, Proceedings of the NATO ASI
Photonic Crystals
and Light Localization in the 21st Century (Kluwer, Dordrecht, 2001), pp. 555-566.
- A. Moroz, A. Tip, and J.-M. Combes, Absorption in periodic
layered structures,
Synthetic
Metals 116, 481-484 (2001).
[cond-mat/0004004]
[pdf]
- A. Tip, A. Moroz, and J.-M. Combes, Band
structure of absorptive photonic crystals,
J.
Phys. A: Math. Gen. 33, 6223-6252 (2000).
[mp-arc/00-181]
- H. van der Lem and A. Moroz, Towards two-dimensional complete
photonic-bandgap structures below infrared wavelengths,
J.
Opt. A: Pure Appl. Opt. 2, 395-399 (2000) [pdf].
[The first article to emphasize the importance of filling the pores
of a purely dielectric 2D air hole photonic crystal with silver, resulting in
a 2D lattice of metallic wires embedded in a dielectric matrix,
in order to obtain an elusive complete photonic bandgap (i.e. common for
both polarizations and for all propagation directions) in the visible]
- A. Moroz,
``A remark on the isotropic model".
- A. Moroz, Single dispersive impurity in a photonic crystal,
Proceeding of the Academic Colloquium ``Quantum Optics of Small Structures",
D. Lenstra, T. D. Visser, and K. A. H. Leeuwen eds.
(The Royal Netherlands Academy of Arts and Sciences, Amsterdam, 2000), pp. 29-32.
[pdf]
- A. Moroz, Photonic crystals of coated metallic spheres,
Europhys.
Lett. 50, 466-472 (2000).
[cond-mat/0003518]
[pdf]
- A. Moroz, Three-dimensional complete photonic bandgap structures
in the visible,
Phys. Rev. Lett. 83, 5274-5277 (1999).
[Demonstrated for the first time
the possiblity of a complete photonic bandgap (i.e. common for
both polarizations and for all propagation directions) in a
3D fcc lattice of metallic spheres embedded in a dielectric matrix.]
- A. Moroz, Minima and maxima of the local
density of states for one-dimensional periodic systems,
Europhys.
Lett. 46, 419-424 (1999).
(Calculate the local density of states of a one-dimensional toy model.)
- A. Moroz and A. Tip,
Resonance-induced effects in photonic crystals,
J.
Phys.: Condens. Matter 11, 2503-2512 (1999).
[physics/9903042]
- A. Moroz, A simple formula for the L-gap width of a
face-centered-cubic photonic crystal,
J.
Opt. A: Pure Appl. Opt. 1,
471-475 (1999).
[physics/9903022]
- A. Moroz and C. Sommers,
Photonic band gaps of
three-dimensional face-centered cubic lattices,
J.
Phys.: Condens. Matter 11,
997-1008 (1999).
[physics/9807057]
[story behind this article]
[Among other, gave the values of a critical dielectric contrast required
for opening a complete photonic bandgap (i.e. common for
both polarizations and for all propagation directions) in a
dielectric 3D fcc lattice of spheres for various sphere filling fractions.]
- A. Moroz and A. Tip, On-shell T-matrices in multiple
scattering,
Phys. Lett. A 235, 195-199 (1997).
[math-ph/9807023]
- A. Moroz, Density-of-states calculation and multiple scattering
theory for photons,
Phys. Rev. B 51, 2068-2081 (1995).
[cond-mat/9404049]
- A. Moroz, Inward
and outward integral equations and the KKR
method for photons,
J.
Phys.: Condens. Matter 6, 171-182 (1994).
[cond-mat/9310040]
Publications on scattering in the Aharonov-Bohm potential
(Including persistent currents, the Hall effect, calculation of the
2nd virial coefficient for interacting anyons, and cosmic strings. The results appear to also
be relevant to some issues involving graphene.)
- A. Moroz, Comments
on ``Differential cross section for
Aharonov-Bohm effect with nonstandard boundary conditions'',
Europhys. Lett. 47(2), 273-274 (1999).
[quant-ph/9811087]
[independent opinion]
- A. Moroz, On indices of the Dirac operator in the
non-Fredholm case,
Mod. Phys. Lett. A 11(12), 979-986 (1996).
[hep-th/9511121]
(Update ref. to F. Gesztesy and B. Simon, J. Funct. Analysis 79,
91 (1988).)
- A. Moroz, The single-particle density of states,
phase-shift flip, bound states, and a resonance in the presence
of an Aharonov-Bohm potential,
Phys. Rev. A 53, 669-694 (1996).
[cond-mat/9504107]
- A. Moroz, The single-particle density of states
and the resonance in the Aharonov-Bohm potential,
Mod. Phys. Lett. B 9(22), 1407-1417 (1995).
[cond-mat/9602041]
- A. Comtet, A. Moroz, and S. Ouvry,
Persistent current of free electrons in the plane,
Phys. Rev. Lett. 74, 828 (1995).
[cond-mat/9404078]
- A. Moroz, The Aharonov-Casher theorem and the axial
anomaly in the Aharonov-Bohm potential,
Phys. Lett. B 358, 305-311 (1995).
[hep-th/9511099]
Publications on asymptotic expansions and their summability
- has been highlighted by
Wikipedia
- A. Moroz, Critical exponent of the localization length for the symplectic case,
J.
Phys. A: Math. Gen. 29, 289-294 (1996).
[pdf]
[cond-mat/9507061]
- A. Moroz, Strong asymptotic conditions or short guide
to using summability methods,
Czech. J. Phys. B42(8), 753-763 (1992).
- A. Moroz, Novel summability method generalizing the Borel method,
Czech. J. Phys. B40(7), 705-726 (1990).
- A. Moroz, Summability method for a horn-shaped region,
Commun. Math. Phys. 133, 369-381 (1990).
- A. Moroz, On the method of divergent series,
Czech. J. Math. 40, 200-212 (1990).
- A. Moroz, Quantum field
theories as a problem of resummation,
PhD thesis, Prague, 1991.
Various subject: BEC, the Hofstadter problem, etc.
- K. N. Ilinski and A. Moroz,
Aspect ratio analysis for ground states of bosons in anisotropic
magnetic traps, special issue of
J. Res. Natl. Inst.
Stand. Technol. 101, 567-573 (1996).
[cond-mat/9512155]
- A. Moroz, Upper and lower bounds on the partition
function of the Hofstadter model,
Mod. Phys. Lett. B 10(9), 409-416 (1996).
[cond-mat/9601083]
- A. Moroz and J. Fischer, A surprise in sum rules
- modulating factors.
[hep-ph/9602313]
- A. Moroz, Dimensional reduction of a generalized flux problem,
Mod. Phys. Lett. B 6(12), 717-727 (1992).
[cond-mat/9206005]
- A. Moroz, The Majorana fermions for quantum s=1/2 antiferromagnet?
[cond-mat/9207013]
- A. Moroz and V. Sverak, Angular momenta in a planar field
theory,
Mod. Phys. Lett. A 6(2), 137-141 (1991).
Remaining proceeding contributions
-
V. N. Astratov, S. P. Ashili, J. P. Franchak, A. J. Saltzman, M. E. Sullivan,
D. J. Brady, S. V. Filin, A. I. Puzynin, V. N. Samoilov, and A. Moroz,
Polycrystalline low index contrast opals: Towards novel multimodal
spectroscopy of diffusive sources of light,
Conference on Lasers and Electro-Optics (CLEO) (IEEE, Piscataway, 2004)
vol. 2, 2 pp.
- H. van der Lem, A. Moroz, and A. Tip, Bandstructures of absorptive
2D photonic crystals, Proceedings of the 24th ESTEC Antenna Workshop on
Innovative Periodic Antennas: Photonic Bandgap, Fractal and Frequency
Selective Surfaces (ESA 2001), pp. 83-84.
- A. Moroz, Photonic band gap calculations: Inward and outward
integral equations and the KKR method, in Confined electrons and photons:
New physics and applications, edited by E. Burstein and C. Weisbuch
(Plenum Press, New York, 1995) pp. 741-746.
- A. Moroz, The single-particle density of states,
phase-shift flip, bound states, and a resonance in the presence
of an Aharonov-Bohm potential.
Proceedings of the XIth International Congress of Mathematical Physics
(International Press, Boston, 1995), pp. 700-701.
- K. N. Ilinski and A. Moroz, Aspect ratio analysis for ground states of bosons in anisotropic traps,
Czech. J. Phys. B 46 (Suppl. S1), 549-550 (1996). Proceedings
of Low Temperatures 21.
Book reviews
- on "Nonperturbative Quantum Field Theory, NATO ASI B 185 Proceeding,
edited by G. 't Hooft et al., (Plenum Press, 1989)",
Acta Aplicandae Mathematica 21, 350 (1990).
- on "Finite-Temperature Field Theory by J.I. Kapusta
(Cambridge University Press)", Acta Aplicandae Mathematica 23, 199-200 (1991).
- on "Optoelectronics of Solar Cells by Greg P. Smestad
(SPIE Press, 2002)",
Optics
and Photonics News, June 2004, p. 40
[full review is here].
- on "Nonlinear Photonic Crystals by R. E. Slusher and B. J. Eggleton (Eds.)
(Springer Verlag, 2003)", Optics and Photonics News, April 2005, p. 46.
- on "Optical Near Fields by M. Ohtsu and K. Kobayashi
(Springer, Heidelberg, 2004)",
Optics and Photonics News, February 2006, p. 40.
- on "Introduction to Complex Mediums for Optics and Electromagnetics, by
Werner S. Weiglhofer and Akhlesh Lakhtakia (eds.)
(SPIE Press Monograph Vol. PM123, 2003)", Optics
and Photonics News, March 2006, p. 55.
- on "Introduction to Biophotonics by Paras N. Prasad
(Wiley Interscience, 2003)", to appear in Optics and Photonics News.
- on "Engineering Electromagnetics by Nathan Ida
(Springer, Heidelberg, 2004)", to appear in Optics and Photonics News.
- on "Optical Properties of Surfaces by
Dick Bedeaux and Jan Vlieger
(Imperial College Press, 2004)", to appear in Optics and Photonics News.
- on "Introductory Quantum Optics by Christopher Gerry and Peter Knight
(Cambridge University Press, 2005)", to appear in Optics and Photonics News.
[
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Alexander Moroz,
last updated on May 14, 2013