Papers published by OSA, APS, IOP, AIP are made available through this web page as electronic reprints with the permission of the publishers. The papers can also be found at the URLs on the publishers websites. References to these URLs are given below for each paper separately. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.

Files which are not available from this web page can be requested directly from the author by e-mail.

Publications in Peer-Reviewed Journals

(Inverse Chronological Order)

2008

69. V.A.Markel
Can the imaginary part of permeability be negative?
Physical Review E 78(2), 026608 (2008)

68. G.Y.Panasyuk, Z.M. Wang, J.C.Schotland and V.A.Markel
Fluorescent optical tomography with large data sets
Optics Letters 33(15), 1744-1746 (2008)

67. A.A.Govyadinov and V.A.Markel
From slow to superluminal propagation: Dispersive properties of surface plasmon polaritons in linear chains of metallic nanospheroids
Physical Review B 78(3), 035403 (2008)

66. S.D.Konecky, G.Y.Panasyuk, K.Lee, V.Markel, A.G.Yodh and J.C.Schotland
Imaging complex structures with diffuse light
Optics Express 16(7), 5048-5060 (2008)

65. J.Y.Panasyuk, J.C.Schotland and V.A.Markel
Classical theory of optical nonlinearity in conducting nanoparticles
Physical Review Letters 100(4), 047402 (2008)
Also in the Virtual Journal of Nanoscale Science & Technology

2007

64. V.A.Markel and J.C.Schotland
On the convergence of the Born series in optical tomography with diffuse light
Inverse Problems 23, 1445-1465 (2007)

63. V.A.Markel and A.K.Sarychev
Propagation of surface plasmons in ordered and disordered chains of metal nanospheres
Physical Review B 75(8), 085426 (2007)

62. J.C.Schotland and V.A.Markel
Fourier-Laplace structure of the inverse scattering problem for the radiative transport equation
Inverse Problems and Imaging 1(1), 181-188 (2007)

2006

61. V.A.Markel
Comment on "Optical response of strongly coupled metal nanoparticles in dimer arrays"
Physical Review B 74(21), 216401 (2006)
Also in the Virtual Journal of Nanoscale Science & Technology

60. G.Y.Panasyuk, V.A.Markel, P.S.Carney and J.C.Schotland
Nonlinear inverse scattering and three-dimensional near-field optical imaging
Applied Physics Letters 89(22), 221116 (2006)

59. V.A.Markel
Anderson localization of polar eigenmodes in random planar composites
Journal of Physics: Condensed Matter 18(49), 11149-11165 (2006)

58. S.V.Karpov, V.S.Gerasimov, I.L.Isaev and V.A.Markel
Spectroscopic studies of fractal aggregates of silver nanospheres undergoing local restructuring
Journal of Chemical Physics 125(11), 111101 (2006)
Also in the Virtual Journal of Nanoscale Science & Technology

57. G.Y.Panasyuk, J.C.Schotland and V.A.Markel
Radiative transport equation in rotated reference frames
Journal of Physics A 39(1), 115-137 (2006)

2005

56. S.V.Karpov, V.S.Gerasimov, I.L.Isaev and V.A.Markel
Local anisotropy and giant enhancement of local electromagnetic fields in fractal aggregates of metal nanoparticles
Physical Review B 72(20), 205425 (2005)
Also in the Virtual Journal of Nanoscale Science & Technology

55. Z.M. Wang, G.Y.Panasyuk, V.A.Markel and J.C.Schotland
Experimental demonstration of an analytic method for image reconstruction in optical tomography with large data sets
Optics Letters 30(24), 3338-3340 (2005)
Also in the Virtual Journal for for Biomedical Optics

54. V.A.Markel
Coherently tunable third-order nonlinearity in a nanojunction
Journal of Physics B 38(21), L347-L355 (2005)

53. G.Y.Panasyuk, V.A.Markel and J.C.Schotland
Superresolution and corrections to the diffusion approximation in optical tomography
Applied Physics Letters 87(10), 101111 (2005)

52. V.A.Markel
Comment on the use of the method of images for calculating electromagnetic responses of interacting spheres
Physical Review E 72(2), 023401 (2005)
Also in the Virtual Journal of Biological Physics Research

51. V.A.Markel and J.C.Schotland
Multiple projection optical diffusion tomography with plane wave illumination
Physics in Medicine and Biology 50(10), 2351-2364 (2005)

50. V.A.Markel
Comment on "Silver nanoparticle array structures that produce remarkably narrow plasmon lineshapes" [J. Chem. Phys. 130, 10871 (2004)]
Journal of Chemical Physics 122(9), 097101 (2005)

49. V.A.Markel
Divergence of dipole sums and the nature of non-Lorentzian exponentially narrow resonances in one-dimensional periodic arrays of nanospheres
Journal of Physics B 38(7), L115-L121 (2005)

2004

48. V.A.Markel and J.C.Schotland
Symmetries, inversion formulas and image reconstruction for optical tomography
Physical Review E 70(5), 056616 (2004)

47. V.A.Markel, V.N.Pustovit, S.V.Karpov, A.V.Obuschenko, V.S.Gerasimov and I.L.Isaev
Electromagnetic density of states and absorption of radiation by aggregates of nanospheres with multipole interactions
Physical Review B 70(5), 054202 (2004)

46. V.A.Markel and J.C.Schotland
Dual-projection optical diffusion tomography
Optics Letters 29(17), 2019-2021 (2004)

45. V.A.Markel
Modified spherical harmonics method for solving the radiative transport equation
Waves in Random Media 14(1), L13-L19 (2004)
[A featured article in the 2004 online edition of Waves in Random Media]

44. V.N.Pustovit and V.A.Markel
Propagation of diffuse light in a turbid medium with multiple spherical inhomogeneities
Applied Optics 43(1), 104-112 (2004)

2003

43. V.A.Markel, J.A.O'Sullivan and J.C.Schotland
Inverse problem in optical diffusion tomography. IV. Nonlinear inversion formulas
Journal of the Optical Society of America A 20(5), 903-912 (2003)

42. V.A.Markel, V.Mital and J.C.Schotland
Inverse problem in optical diffusion tomography. III. Inversion formulas and singular value decomposition
Journal of the Optical Society of America A 20(5), 890-902 (2003)

2002

41. M.R.Geller, W.M.Dennis, V.A.Markel, K.R.Patton, D.T.Simon and H.S.Yang
Theory of electron-phonon dynamics in insulating nanoparticles
Web posting of the final form of this article is prohibited by the copyright agreement and an electronic preprint is not available. You can, however, go directly to the PHYSICA B web site referenced below.
Physica B 316-317, 430-433 (2002)

40. V.A.Markel and J.C.Schotland
Effects of sampling and limited data in optical tomography
Applied Physics Letters 81(7), 1180-1182 (2002)

39. V.A.Markel and J.C.Schotland
Scanning paraxial optical tomography
Optics Letters 27(13), 1123-1125 (2002)

38. V.A.Markel and J.C.Schotland
The inverse problem in optical diffusion tomography. II. Inversion with boundary conditions
Journal of the Optical Society of America A 19(3), 558-566 (2002)

37. V.A.Markel
The effects of averaging of the enhancement factor for absorption of light by carbon particles in micro-droplets of water
Web posting of the final form of this article is prohibited by the copyright agreement. You can download a preprint or go directly to the JQSRT web site referenced below.
Journal of Quantitative Spectroscopy and Radiative Transfer 72(6), 765-774 (2002)
This paper is incorrect! Don't read it! If you do, see also the Erratum [JQSRT 103, 428 (2007)]

2001

36. V.A.Markel and J.C.Schotland
Inverse scattering for the diffusion equation with general boundary conditions
Physical Review E 64(3), R035601 (2001)

35. J.C.Schotland and V.A.Markel
Inverse scattering with diffusing waves
Journal of the Optical Society of America A 18(11), 2767-2777 (2001)
See Erratum   [Journal of the Optical Society of America A 19(5), 1035 (2002)]

34. P.S.Carney, V.A.Markel and J.C.Schotland
Near-field tomography without phase retrieval
Physical Review Letters 86(26), 5874-5877 (2001)

33. V.A.Markel and J.C.Schotland
The inverse problem in optical diffusion tomography. I. Fourier-Laplace inversion formulas
Journal of the Optical Society of America A 18(6), 1336-1347 (2001)

32. W.D.Bragg, V.P.Safonov, V.A.Markel, V.M.Shalaev, W.Kim, Z.C.Ying, K.Banerjee and R.L.Armstrong
Near-field observation of selective photomodification in fractal aggregates
Journal of the Optical Society of America B 18(5), 698-705 (2001)

31. V.A.Markel and V.M.Shalaev
Geometrical renormalization approach to calculating optical properties of fractal carbonaceous soot in the long wavelength limit
Journal of the Optical Society of America A 18(5), 1112-1121 (2001)

2000

30. V.A.Markel and M.R.Geller
One-phonon relaxation of localized electronic states in anaharmonic nanoparticles
Journal of Physics - Condensed Matter 12(34), 7569-7582 (2000)

1999

29. E.Yu.Poliakov, V.M.Shalaev, V.Shubin and V.A.Markel
Enhancement of nonlinear processes near rough nanometer-structured surfaces obtained by deposition of fractal colloidal silver aggregates on a plain substrate
Physical Review B 60(15), 10739-10742 (1999)

28. V.A.Markel and V.M.Shalaev
Absorption of light by soot particles in micro-droplets of water
Web posting of the final form of this article is prohibited by the copyright agreement. You can download a preprint or go directly to the JQSRT web site referenced below.
Journal of Quantitative Spectroscopy and Radiative Transfer 63(2-6), 321-339 (1999)
The numerical part of this paper contains an error. See this Erratum and an Erratum to Ref.37 which was affected by the same mistake.

27. B.Vlcova, C.Douketis, M.Moskovits, V.M.Shalaev and V.A.Markel
Toward a universal extinction spectrum of self-affine silver colloid clusters: experiment and simulation
Journal of Chemical Physics 110(16), 8080-8083 (1999)

26. V.A.Markel, V.M.Shalaev, P.Zhang, W.Huynh, L.Tay, T.L.Haslett and M.Moskovits
Near-field optical spectroscopy of individual surface-plasmon modes in colloid clusters
Physical Review B 59(16), 10903-10909 (1999)

1998

25. S.I.Bozhevolnyi, V.A.Markel, V.Coello, W.Kim and V.M.Shalaev
Direct observation of localized dipolar excitations on rough nanostructured surfaces
Physical Review B 58(17), 11441-11448 (1998)

24. E.Y.Poliakov, V.M.Markel, V.M.Shalaev and R.Botet
Nonlinear optical phenomena on rough surfaces of metal thin films
Physical Review B 57(23), 14901-14913 (1998)
See Erratum   [ Physical Review B 60(3), 2127 (1999)]

23. V.M.Shalaev, V.A.Markel, E.Y.Poliakov, R.L.Armstrong, V.P.Safonov and A.K.Sarychev
Nonlinear optical phenomena in nanostructured fractal materials
Web posting of the final form of this article is prohibited by the copyright agreement and an electronic preprint is not available. You can, however, go directly to the JNOPM web site referenced below.
Journal of Nonlinear Optical Physics and Materials 7(1), 133-152 (1998)

22. V.P.Safonov, V.M.Shalaev, V.A.Markel, N.N.Lepeshkin, W.Kim, Yu.E.Danilova, S.G.Rautian and R.L.Armstrong
Spectral dependence of selective photomodification in fractal aggregates of colloidal particles
Physical Review Letters 80(5), 1102-1105 (1998)

1997

21. V.M.Shalaev, E.Y.Poliakov, V.A.Markel, V.P.Safonov and A.K.Sarychev
Surface-enhanced optical nonlinearities of nanostructured fractal materials
Web posting of the final form of this article is prohibited by the copyright agreement and an electronic preprint is not available. You can, however, go directly to the FRACTALS web site referenced below.
Fractals 5(2 supp.), 63-82 (1997)

20. V.A.Markel and E.Poliakov
Radiative relaxation time of quasi-normal optical modes in small dielectric particles
Web posting of the final form of this article is prohibited by the copyright agreement. You can download a preprint or go directly to the Phil.Mag.B web site referenced below.
Philosophical Magazine B 76(6), 895-909 (1997)

19. V.M.Shalaev, E.Y.Poliakov, V.A.Markel and R.Botet
Nonlinear optics of fractal nanomaterials: small-particle composites and self-affine films
Web posting of the final form of this article is prohibited by the copyright agreement and an electronic preprint is not available. You can, however, go directly to the PHYSICA A web site referenced below.
Physica A 241, 249-258 (1997)

18. V.A.Markel, V.M.Shalaev, E.Y.Poliakov and T.F.George
Numerical studies of second- and fourth-order correlation functions in cluster-cluster aggregates in application to optical scattering
Physical Review E 55(6), 7313-7333 (1997)

17. V.A.Markel, V.M.Shalaev, E.Y.Poliakov and T.F.George
Fluctuations of light scattered by fractal clusters
Journal of the Optical Society of America A 14(1), 60-69 (1997)

1996

16. E.Y.Poliakov, V.M.Shalaev, V.A.Markel and R.Botet
Enhanced Raman scattering from self-affine thin films
Optics Letters 21(20), 1628-1630 (1996)

15. V.A.Markel, V.M.Shalaev, E.B.Stechel, W.Kim and R.Armstrong
Small-particle composites. I. Linear optical properties
Physical Review B 53(5), 2425-2436 (1996)

14. V.M.Shalaev, E.Poliakov and V.A.Markel
Small-particle composites, II. Nonlinear optical properties
Physical Review B 53(5), 2437-2449 (1996)

1987-1995

13. V.A.Markel
Antisymmetrical optical states
Journal of the Optical Society of America B 12(10),1783-1791 (1995)

12. V.Shalaev, V.A.Markel, V.P.Safonov and R.Botet
Resonant optics of fractals
Web posting of the final form of this article is prohibited by the copyright agreement and an electronic preprint is not available. You can, however, go directly to the FRACTALS web site referenced below.
Fractals 2(2), 201-209 (1994)

11. Yu.E.Danilova, V.A.Markel and V.P.Safonov
Absorption of light by random fractal clusters [In Russian]
Optika Atmosfery i Okeana 6(11), 1436-1446 (1993)
English Translation
Atmospheric and Oceanic Optics 6(11), 821-826 (1993)

10. V.A.Markel
Two-photon and cooperative excitation of an infinite chromophore chain [In Russian]
Avtometriya No.6, 3-13 (1993)
English Translation
Optoelectronics, Instrumentation and Data Processing No.6, 3-12 (1993)

9. V.A.Markel
Coupled-dipole approach to scattering of light from a one-dimensional periodic dipole structure
Web posting of the final form of this article is prohibited by the copyright agreement and an electronic preprint is not available. You can, however, go directly to the J.Mod.Opt. web site referenced below.
Journal of Modern Optics 40(11), 2281-2291 (1993)

8. V.A.Markel
Scattering of light from two interacting spherical particles
Web posting of the final form of this article is prohibited by the copyright agreement and an electronic preprint is not available. You can, however, go directly to the J.Mod.Opt. web site referenced below.
Journal of Modern Optics 39(4), 853-863 (1992)

7. V.A.Markel
Sub-Poissonian statistics of unidirectional random jumps on a circumference [In Russian]
Avtometriya No.6, 111-114 (1991)
English Translation
Optoelectronics, Instrumentation and Data Processing No.6, 109-112 (1991)

6. V.A.Markel, L.S.Muratov, M.I.Stockman and T.F.George
Theory and numerical simulation of the optical properties of fractal clusters
Physical Review B 43(10), 8183-8195 (1991)

5. V.A.Markel, L.S.Muratov and M.I.Stockman
Optical properties of fractals: Theory and numerical simulation
ZhETF 98(3), 819-837 (1990)
English Translation
Journal of Experimental and Theoretical Physics 71(3), 455-464 (1990)

4. V.A.Markel and M.I.Stockman
Kinetics of two-quantum sensibilized excitation in the singlet and singlet-triplet channels
Optika i Spektroskopiya 67(1), 115-121 (1989)
English Translation
Optics and Spectroscopy 67(1), 64-68 (1989)

3. V.A.Markel and M.I.Stockman
Nonlinear photoprocesses in bichromophores. II. Correlated population and fluorescence intensity fluctuations[in Russian, parts I and II in one file]
Optika i Spektroskopiya 65(6), 1258-1262 (1988)
English Translation [Parts I and II in one file]
Optics and Spectroscopy 65(6), 743-746 (1988)

2. V.A.Markel and M.I.Stockman
Nonlinear photoprocesses in bichromophores. I. Two-photon and cooperative excitation and nonlinear quenching[in Russian, parts I and II in one file]
Optika i Spektroskopiya 65(6) 1231-1237 (1988)
English Translation[Parts I and II in one file]
Optics and Spectroscopy 65(6), 727-731 (1988)

1. V.A.Markel and M.I.Stockman
Critical (percolation) behavior and fractal dimension of aggregates in immunological agglutination reaction [in Russian, not translated]
Biopolymery i Kletka [Biopolymers and Cells] No. 4, 35-40 (1988)