Publications:
- L Borcea, V Druskin, AV Mamonov, M Zaslavsky, J Zimmerling, Reduced Order Model Approach to Inverse Scattering,
(in pdf), SIAM Journal on Imaging Sciences 13 (2), 2020, 685-723.
- L. Borcea, J. Garnier, K. Solna, Multimode communication through the turbulent atmosphere,
(in pdf), JOSA A 37 (5), 2020, pp. 720-730.
- L. Borcea, J. Garnier, High-resolution interferometric synthetic aperture imaging in scattering media,
(in pdf), SIAM Journal on Imaging Sciences 13 (1), 2020, pp. 291-316.
- L Borcea, V Druskin, A Mamonov, S Moskow, M Zaslavsky, Reduced order models for spectral domain inversion: embedding
into the continuous problem and generation of internal data, (in pdf), Inverse Problems 36 (5), 2020, p. 055010.
- L Borcea, J Garnier, Wave propagation in randomly perturbed weakly coupled waveguides, (in pdf), Multiscale Modeling & Simulation 18 (1), 2020, p. 44-78.
- L. Borcea, J. Garnier, K. Solna, Wave propagation and imaging in moving media,
(in pdf),
SIAM MULTISCALE MODEL. SIMUL., 17(1), 2019, pp. 31–67.
- L. Borcea, J. Garnier, A ghost imaging modality in a random
waveguide, (in pdf), Inverse Problems, 34,
124007 (33pp), 2018.
- L. Borcea, S. Meng, Factorization method versus migration imaging in a waveguide, (in pdf), Inverse Problems,
35, 2019, p. 124005 (33 pages).
- L. Borcea, V. Druskin, A. Mamonov, M. Zaslavsky, Untangling the nonlinearity in inverse scattering with data-driven reduced order models,
(in pdf), Inverse Problems, 34, 065008 (35pp), 2018.
- L. Borcea, J. Garnier, Laser beam imaging from the speckle pattern of the off-axis scattered intensity, (in pdf),
SIAM J. Appl. Math., 78(2), 677-704, 2018.
- L. Borcea, I. Kocyigit, Passive Array Imaging in Random
Media, (in pdf),IEEE Transactions on
Computational Imaging, 4(3), 459-469, 2018.
- L. Borcea, J. Garnier, D. Wood, Transport of power in random waveguides with turning points, (in pdf),
COMMUN. Math. SCI., Vol 15 (8), 2017, pp. 2327-2371.
- L. Borcea, I. Kocyigit, A Multiple Measurement Vector Approach to Synthetic Aperture Radar Imaging, (in pdf),
SIAM J. Imaging Sciences, 11(1), 2018, pp. 770-801.
- L. Borcea, J. Garnier, Pulse reflection in a random waveguide with a turning point, (in pdf),
Multiscale Model. Simul., 15(4), 2017, 1472-1501.
- L. Borcea, J. Garnier, G. Papanicolaou, K. Solna, C. Tsogka, Resolution analysis of passive synthetic aperture imaging of fast moving objects
(in pdf), SIAM Imaging Sciences, 10(2), 2017, p. 665-710.
- L. Borcea, W. Li, A. V. Mamonov, J. Schotland, Second-Harmonic imaging in random media, (in pdf),
Inverse Problems, 33(6), 065004.
- L. Borcea, I. Kocyigit, Imaging in random media with convex
optimization, (in pdf), SIAM J. Imaging
Sciences, 10(1), 2017, p. 147-190.
- L. Borcea, D_L Nguyen, Imaging with electromagnetic waves in terminating waveguides, (in pdf),
Inverse problems and imaging, 10, 2016, p.915-941.
- L. Borcea, J. Garnier, Derivation of a one-way radiative transfer
equation in random media, (in
pdf) , Phys. Rev. E 93, 022115, 2016.
- L. Borcea, J. Garnier, Polarization effects for electromagnetic
wave propagation in random media, (in
pdf) , Wave Motion, 63, 2016, p. 179-208.
- L. Borcea, J. Garnier, Robust imaging with electromagnetic waves
in noisy environments, (in pdf) , Inverse
Problems, 32(10), p. 105010.
- L. Borcea, G. Papanicolaou, C. Tsogka, Time and direction of arrival detection and filtering for imaging in strongly scattering random media, (in pdf) , Waves in Random and Complex Media, 27(4),2017, p. 1-26.
- L. Borcea, M. Moscoso, G. Papanicolaou, C. Tsogka, Synthetic aperture imaging of direction and frequency dependent reflectivities, (in pdf) , SIAM J. Imaging Sci., 9(1), 52–81. (30 pages).
- L. Borcea, I. Kocyigit, Resolution analysis of imaging with l1 optimization,
(in pdf) , SIAM J. Imaging Sciences, 8(4), 2015, pp.3015-3050.
- L. Borcea, K. Solna Pulse propagation in time dependent randomly layered media
(in pdf) , SIAM MMS 14(1), 2016, p. 265-300.
- R. Alonso, L. Borcea, Electromagnetic wave propagation in random
waveguides (in pdf) , SIAM MMS, 13 (3), 2015, pp. 847-889.
- L. Borcea, Y. Gorb, Y. Wang, Asymptotic approximation of the
Dirichlet to Neumann map of high contrast conductive
media, (in pdf), SIAM MMS, 12(4), 2014, pp.1494-1532.
- S. Acosta, R. Alonso, L. Borcea, Source estimation with incoherent waves in random waveguides, (in pdf), Inverse Problems, 31(3), 2015, p.035013.
- L. Borcea, J. Garnier, C. Tsogka, A quantitative study of source
imaging in random waveguides, (in
pdf), Comm. Math. Sci, 13(3), 2015, pp. 749-776.
- L. Borcea, Imaging in random media, (in pdf) , solicited review to
appear in Handbook of Mathematical Methods in Imaging, edited by Otmar
Scherzer, to appear in 2nd ed 2015, Springer.
- L. Borcea, Imaging and wave propagation in random
waveguides, (in pdf), Lecture notes to
be published by the Societe Mathematique de France.
- L. Borcea, J. Garnier, Paraxial coupling of propagating modes in three-dimensional waveguides
with random boundaries, (in pdf), SIAM MMS, 12(2), 2014, pp.832-878.
- L. Borcea, F. Gonzales del Cueto, G. Papanicolaou, C. Tsogka,
Filtering deterministic layering effects in imaging (in pdf), SIAM Review, 54 (2012), pp. 757-798.
- L. Borcea, T. Callaghan, G. Papanicolaou, Motion estimation and imaging of
complex scenes with synthetic aperture radar, (in pdf), Inverse Problems, in press, 2013.
- L. Borcea, V. Druskin, A. Mamonov, M. Zaslavsky, A model reduction approach
to numerical inversion for a parabolic partial differential equation,
(in pdf),
Inverse Problems 30, 2014, 125011 (33pp).
- L. Borcea, T. Callaghan, G. Papanicolaou, Synthetic
Aperture Radar Imaging and Motion Estimation via Robust Principal Component Analysis, (in pdf),
SIAM Imaging Science, 6(3), 2013, P. 1445-1476.
- R. Alonso, L. Borcea, J. Garnier, Wave propagation in waveguides with random boundaries,
(in pdf) , Communications in Mathematical Sciences, 11(1), 2012, pp. 233-267.
- L. Borcea, T. Callaghan, G. Papanicolaou, Synthetic
Aperture Radar Imaging with Motion Estimation and Autofocus, (in pdf),
Inverse Problems, 28, 2012, p. 045006.
- L. Borcea, F. Guevara Vasquez, A. Mamonov,
Study of noise effects in electrical impedance tomography with resistor networks,
(in pdf), Inverse Problems and Imaging, 7(2), 2013, pp. 417-443.
- L. Borcea, V. Druskin, F. Guevara Vasquez, A. V. Mamonov, Resistor network approaches
to electrical impedance tomography, (in pdf),
Inside Out II, MSRI Publications, Volume 60, 2012, p. 55-118.
- L. Borcea, Interferometric imaging and time reversal in
random media, (in pdf), Solicited contribution to Springer Encyclopedia of
Applied and Computational Mathematics, 2011.
- L. Borcea, J. Garnier, G. Papanicolaou and C. Tsogka, Enhanced statistical stability in coherent interferometric imaging,
(in pdf), Inverse Problems, 27(8), 2011, p. 085003.
- L. Borcea, G. Papanicolaou and C. Tsogka, Adaptive time-frequency detection and filtering for imaging in heavy clutter,
(in pdf), SIAM Imaging Science, 4(3), 2011, pp. 827-849.
- L. Borcea, J. Garnier, G. Papanicolaou, C. Tsogka, Coherent Interferometric Imaging, Time Gating, and Beamforming,
(in pdf), Inverse Problems, in press 2011.
- R. Alonso, L. Borcea, G. Papanicolaou, C. Tsogka, Detection and Imaging in strongly backscattering randomly layered
media, (in pdf), Inverse Problems, 27, 2011, p. 025004.
- L. Borcea, L. Issa, C. Tsogka, Source localization in random acoustic waveguides,
(in pdf), SIAM Multiscale Modeling Simulations, 8(5), pp. 1981-2022, 2010.
- L. Borcea, A. V. Mamonov, V. Druskin, F. Guevara-Vasquez, Pyramidal resistor
networks for electrical impedance tomography with partial boundary measurements,
(in pdf), Inverse Problems, 26(10),
2010, doi: 10.1088/0266-5611/26/10/105009.
- Borcea, L., A. V. Mamonov, V. Druskin, Circular resistor networks
for electrical impedance tomography with partial boundary measurements
(in pdf), Inverse Problems, 26(4), 2010,
p. 045010 (30pp).
- Borcea, L., Gonzalez del Cueto, F., Papanicolaou, G., Tsogka, C.,
Filtering random layering effects in imaging (in pdf) SIAM Multiscale Model. Simul.,
8(3), pp. 751-781, 2010.
- Borcea, L., T. Callaghan, J. Garnier, G. Papanicolaou,
A universal filter for enhanced imaging with small arrays (in pdf) Inverse Problems, 26(1), 2010, 015006(29pp).
- Borcea, L., F., Papanicolaou, G., Tsogka, C.,
Subspace projection filters for imaging in random media (in pdf)
, Comptes Rendus Mecanique, Published in electronic form 2010,
doi:10.1016/j.crme.2010.07.013.
- Borcea, L., Gonzalez del Cueto, F., Papanicolaou, G., Tsogka, C.,
Filtering deterministic layering effects in imaging (in pdf) SIAM Multiscale Model. Simul., Vol7, No
3, 2009, pp. 1267-1301.
- Borcea, L., Druskin, V., Guevara Vasquez, F., Electrical impedance tomography
with resistor networks, (in pdf), Inverse Problems, 24(4),
pp. 035013-035044, 2008.
- Borcea, L., Papanicolaou, G., Guevara Vasquez, F., Edge illumination and
imaging of extended reflectors, (in pdf)
SIAM Imaging Sciences, Vol1, No. 1, pp. 75-114, 2008.
- Borcea, L., Papanicolaou, G. C., Tsogka, Optimal illumination and
waveform design for imaging in random media, (in pdf) JASA, 122, 2007, pp. 3507-3518.
- Borcea, L., Papanicolaou, G. C., Tsogka, Optimal waveform design for array imaging,
(in pdf) , Inverse Problems 23, 2007, pp. 1973-2021.
- Borcea, L., Papanicolaou, G. C., Tsogka, Asymptotics for the space-time
Wigner transform with applications to imaging (in pdf),
In Stochastic Differential Equations: Theory and Applications. Volume in Honor of Professor Boris L. Rozovskii, P.H. Baxendale and S.V. Lototsky, Editors, Interdisciplinary Mathematical Sciences, vol 2, World Scientific, 2007.
- Borcea, L., Papanicolaou, G. C., Tsogka, Adaptive interferometric
imaging in clutter and optimal illumination
(in
pdf), Inverse Problems, Inverse Problems, 22, 2006, pp. 1405-1436.
- Borcea, L., Papanicolaou, G. C., Tsogka, Coherent interferometry
in finely layered random media (in
pdf), SIAM Multiscale Modeling and Simulation, 5(1), 2006, pp. 62-83.
- Borcea, L., Papanicolaou, G. C., Tsogka, Interferometric
array imaging in clutter (in pdf),
Inverse Problems 21, 2005, pp. 1419-1460.
- Borcea, L., Papanicolaou, G. C., Tsogka, Coherent interferometric
imaging (in pdf), Geophysics, 71, 2006,
pp. S1165-S1175.
- Borcea, L., Druskin, V., Knizhnerman, L., On the continuum limit
of a discrete inverse spectral problem on optimal finite difference
grids, (in pdf) , Communications in Pure and
Applied Mathematics, 58 (9), 2005, pp. 1231-1279.
- Druskin, V., Borcea, L., Knizhnerman, L., On the sensitivity of
Lanczos recursions to the spectrum, (in pdf)
, Linear Algebra and its Applications, 396, 2005, pp. 103-125.
- Berlyand, L., Borcea, L., Panchenko, A., Network approximation
for effective viscosity of concentrated suspensions, (in pdf) , SIAM Journal on Mathematical
Analysis, 36(5), 2005, pp. 1580-1628.
- Borcea, L., Papanicolaou, G. C., Tsogka, Theory and applications
of time reversal and interferometric imaging,
(in pdf),
Inverse Problems, 19, 2003, pp. 1-26.
- Borcea, L., Gray, G., Zhang, Y., Variationally Constrained
Numerical Solution of Electrical Impedance Tomography, (in pdf), Inverse Problems, 19(5), 2003,
pp. 1159--1184.
-
Borcea L., Papanicolaou, G. C., Tsogka, A resolution study for imaging
and time reversal in random media, (in pdf),
Contemporary Math, 333, 2003, pp. 63--77.
-
Borcea L., Electrical Impedance Tomography, Topical review (postscript), or (pdf),
Inverse Problems, 18, No. 6, 2002, pp. R99-R136 and the addendum .
-
Borcea L., Druskin V., Optimal finite difference grids for direct and
inverse Sturm Liouville problems, (pdf), Inverse
Problems, 18, No. 4, 2002, pp.979-1001.
-
Borcea L., Papanicolaou, G. C., Tsogka, C., Berryman, J., 2002,
Imaging and time reversal in random media,
(pdf), Inverse Problems, 18, No. 5, 2002, pp. 1247-1279.
-
Berryman,J.,Borcea, L., Papanicolaou, G. C., Tsogka, C.,
2002, Statistically stable ultrasonic imaging in random media,
(pdf), Journal of Acoustical Soc. of America, 112, 2002,
pp. 1509--1522.
-
Borcea L., Bruno, O., On the magneto-elastic properties of
elastomer-ferromagnet composites,
(postscript), or (pdf), Journal of the
Mechanics and Physics of Solids, Vol. 49, No. 12, 2001, pp. 2877-2919.
-
Borcea, L., Nonlinear multigrid for imaging electrical conductivity
and permittivity at low frequency, (pdf) ,
Inverse Problems, 17, No. 2, 2001, pp. 329-359.
- Borcea L., Papanicolaou, G. C., Low frequency electromagnetic
fields in high contrast media, (postscript) or
(pdf) , Surveys on Solution
Methods for Inverse Problems, D. Colton, H. W. Engl, A. Louis,
J. R. McLaughlin, W. Rundell editors, Springer Vienna/New York, 2000.
- Borcea, L., Berryman, J.G., Papanicolaou, G.C.,
Matching pursuit for imaging high contrast conductivities, (postscript) or
(pdf), Inverse Problems 15, No. 4, 1999, pp.811-849.
- Borcea L., Ortiz M., A multiscattering series for impedance
tomography in layered media, (postscript) or
(pdf) Inverse Problems, 15, No. 2, 1999,
pp. 515-540.
- Borcea, L., Asymptotic Analysis of Quasistatic Transport in High
Contrast Conductive Media, (postcsript)
or (pdf), SIAM Journal on Applied
Mathematics, vol. 59, no.2, 1999, pp.597-639.
- Borcea, L., Papanicolaou, G.C., Network approximation for
transport properties of high contrast materials, (postcsript) or
(pdf), SIAM Journal on Applied Mathematics, vol. 58, no. 2, 1998,
pp. 501-539.
- Borcea L., Papanicolaou, G.C., A Hybrid Numerical Method for High
Contrast Conductivity Problems, (postcsript)
or (pdf) , 1997, Journal of Computational
and Applied Mathematics 87, no. 1, pp. 61-77.
- Borcea, L., Berryman, J.G., Papanicolaou, G.C.,
High Contrast Impedance Tomography,
(postscript) or (pdf) , Inverse Problems
12, 1996, pp. 835-858.
- Borcea, L. Network Approximation of Electromagnetic Transport in
High Contrast Conductive Media, Mathematical and Numerical Aspects of Wave
Propagation, John A. DeSanto, ed., SIAM, Philadelphia, 1998, pp. 526-528.
- Borcea, L., Berryman, J.G., Papanicolaou, G.C.,
Network asymptotics for high contrast impedance tomography.
Inverse problems in geophysical applications (Yosemite, CA,
1995), 287--303, SIAM, Philadelphia, PA, 1997.
- Direct and Inverse Problems for Transport in High
Contrast Media, Ph.D. thesis, Stanford University, June 1996.