2 citations · 3 across the 11 of their papers we have counts for
11 papers
Local reconstruction of coefficients in quantitative photo-acoustic tomography
Gang Bao, Mirza Karamehmedovic, Faouzi Triki
We study the problem of reconstructing the scattering and absorption coefficients in the radiative transport equation using internal data in quantitative photo-acoustic tomography…
Programmable photonic nanojets via phase-only time-reversal: a numerical study
Tobias Abilock Mikkelsen, Cristian Placinta, Jesper Glückstad +1
We present a phase-only time-reversal framework for steering photonic nanojets without mechanical motion or amplitude modulation. Time-reversed radiation by a synthetic source plac…
Photonic nanojets as emergent free-space power flux funnels
Mirza Karamehmedović, Cristian Placinta, Tobias Abilock Mikkelsen +1
A reduced local field model derived from full-wave electromagnetic simulations shows that photonic nanojet formation corresponds to an emergent mesoscopic funnel of propagating pow…
Interpolating between Tikhonov regularization and spectral cutoff
Martin Sæbye Carøe, Mirza Karamehmedović, Pierre Maréchal
Regularizing a linear ill-posed operator equation can be achieved by manipulating the spectrum of the operator's pseudo-inverse. Tikhonov regularization and spectral cutoff are wel…
Multi-resolution deconvolution
Mirza Karamehmedović, Pierre Maréchal, Martin Sæbye Carøe +1
We extend the classical deconvolution framework in Rn to the case with a pseudodifferential-like solution operator with a symbol depending on both the base and cotangent variable.…
Rethinking photonic nanojets: a new definition and design paradigm
Mirza Karamehmedović, Kristoffer Linder-Steinlein, Jesper Glückstad
We propose a rigorous, physically interpretable, and quantifiable definition of the photonic nanojet (PNJ). This framework resolves longstanding ambiguities in measuring PNJ dimens…
Localization Coefficients of Functions with Applications in Partial Differential Equations
Mirza Karamehmedović, Faouzi Triki
We identify shortcomings in two popular measures of localization of functions: the participation ratio and the mass concentration comparison. We then introduce a novel lo…
Estimates on the stability constant for the truncated Fourier transform
Mirza Karamehmedović, Martin Sæbye Carøe, Faouzi Triki
In this paper we are interested in the inverse problem of recovering a compact supported function from its truncated Fourier transform. We derive new Lipschitz stability estimates…
On the series solutions of integral equations in scattering
Mirza Karamehmedović, Faouzi Triki
We study the validity of the Neumann or Born series approach in solving the Helmholtz equation and coefficient identification in related inverse scattering problems. Precisely, we…
Localization and the landscape function for regular Sturm-Liouville operators
Mirza Karamehmedović, Faouzi Triki
We consider the localization in the eigenfunctions of regular Sturm-Liouville operators. After deriving non-asymptotic and asymptotic lower and upper bounds on the localization coe…
Optimal design of photonic nanojets under uncertainty
Amal Mohammed A Alghamdi, Peng Chen, Mirza Karamehmedović
Photonic nanojets (PNJs) have promising applications as optical probes in super-resolution optical microscopy, Raman microscopy, as well as fluorescence microscopy. In this work, w…