# Maxim A. YurkinNovosibirsk State University · Department of Physics

Maxim A. Yurkin

PhD

Looking for professor or group-leader position

## About

285

Publications

103,373

Reads

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3,748

Citations

Citations since 2017

Introduction

My research interests include light scattering simulations and solving inverse problems to characterize biological cells based on light-scattering data. I am particularly experienced in the discrete dipole approximation and position myself as "toolmaker". For instance, I spend some time developing the open-source ADDA code.
Here mostly English publications are listed. All Russian ones can be found at my personal website.

Additional affiliations

October 2016 - November 2016

**University of Rostock**

Position

- Visititing Scientist

Description

- Simulation of X-ray diffraction by nanoparticles

September 2013 - October 2013

**National Nanotechnology Laboratory, CNR-NANO**

Position

- Visiting Scientist

Description

- Extension of discrete dipole approximation to non-local dielectric function

April 2008 - January 2023

**Voevodsky Institute of Chemical Kinetics and Combustion**

Position

- Senior Researcher

Description

- Development of the discrete dipole approximation and characterization of blood cells from light scattering

Education

September 2004 - December 2007

July 2004 - June 2007

**Voevodsky Institute of Chemical Kinetics and Combustion**

Field of study

- Biophysics

September 1998 - June 2004

## Publications

Publications (285)

We provide rigorous definitions of various components of the energy budget for scattering of source-induced electromagnetic fields by a finite nonmagnetic object. We use the classical volume-integral-equation (VIE) framework and define power rates in terms of integrals of the Poynting vector over various surfaces, enclosing some or all of the impre...

(!!! the paper is still in the proofs stage - please wait for the final version)
We comprehensively review the deceptively simple concept of dipole scattering in order to uncover and resolve all ambiguities and controversies existing in the literature. First, we consider a point electric dipole in a non-magnetic environment as a singular point in s...

The field of light‐scattering characterization of single particles has seen a rapid growth over the last 30 years largely due to the progress in measurement and simulation capabilities. In particular, several methods have been developed to reliably characterize various particles, described by a model with several characteristics, with geometric res...

Apart from a lot of fundamental interest, vector Bessel beams are widely used in optical manipulation, material processing, and imaging. However, the existing description of such beams remains fragmentary, especially when their scattering by small particles is considered. We propose a general classification of all existing vortex Bessel beam types...

Electron energy-loss spectroscopy (EELS) and cathodoluminescence (CL) are widely used experimental techniques for characterization of nanoparticles. The discrete dipole approximation (DDA) is a numerically exact method for simulating the interaction of electromagnetic waves with particles of arbitrary shape and internal structure. In this work, we...

We analyzed the behavior of the complex Fourier spectrum of the angle-resolved light scattering pattern (LSP) of a sphere in the framework of the Wentzel-Kramers-Brillouin (WKB) approximation. Specifically, we showed that the phase value at the main peak of the amplitude spectrum almost quadratically depends on the particle refractive index, which...

The presence of a substrate under a particle significantly affects the electron energy-loss (EELS) and cathodoluminescence (CL) spectra. We extended the discrete dipole approximation to account for a semi-infinite substrate in EELS/CL simulations, this new capability is implemented into the open-source software ADDA. We use ADDA to numerically inve...

We report the simulations of vector Bessel beam scattering by particles near a substrate using the discrete dipole approximation. To implement it, we decompose Bessel beams into a weighted sum of plane waves using the angular spectrum decomposition method. This allowed us to use the previous realization of plane-wave scattering near a plane substra...

While historically the discrete dipole approximation (DDA) implied the interaction of point dipoles, integration of the corresponding free-space Green's tensor (IGT) over the cuboid voxel is known to improve the performance of the method. Previous implementations used either slow numerical integration or some approximations with poorly controlled e...

We have implemented the block bi-conjugate-gradient method and its two variants, using the initial deflation and orthogonalization of the residual matrix. We tested them for solving multiple linear systems in the discrete dipole approximation (DDA). The tests showed that the second variant of the algorithm outperforms other methods and is helpful f...

Slides for the seminar at the Department of Atmospheric Sciences (Zhejiang University, Hangzhou, China, presented online).
Light scattering is widely used in remote sensing of various objects ranging from metal nanoparticles and macromolecules to atmospheric aerosols and interstellar dust, being in some cases the only available approach to characte...

In a recent paper Fenni et al. (2021, https://doi.org/10.1029/2020jd034172) compared the code MIDAS, based on the direct solution of the volume‐integral equation combined with advanced cubatures for orientation averaging, to the code DDSCAT, a state‐of‐the‐art implementation of the discrete dipole approximation. This comment highlights methodologic...

The open-source code ADDA is based on the discrete dipole approximation (DDA) - a numerically exact method derived from the frequency-domain volume-integral formulation of the Maxwell equations. It can simulate interaction of electromagnetic fields (scattering and absorption) with finite 3D objects of arbitrary shape and composition. Besides standa...

We analyzed the behavior of the complex Fourier spectrum of the angle-resolved light scattering pattern (LSP) of a sphere in the framework of the Wentzel-Kramers-Brillouin (WKB) approximation. Specifically, we showed that the phase value at the main peak of the amplitude spectrum almost quadratically depends on the particle refractive index, which...

Electron energy-loss spectroscopy (EELS) and cathodoluminescence (CL) are widely used experimental techniques for characterization of nanoparticles. The discrete dipole approximation (DDA) is a numerically exact method for simulating interaction of electromagnetic waves with particles of arbitrary shape and internal structure. In this work we exten...

The sizing of a single particle based on the Fourier spectrum of its angle-resolved light-scattering pattern (LSP) is widely used in practice but has been lacking rigorous theoretical justification. In this paper we fill this gap, starting with systematic analysis based on the Rayleigh-Gans-Debye (RGD) approximation. We related the LSP spectrum wit...

Apart from a lot of fundamental interest, vector Bessel beams are widely used in optical manipulation, material processing, and imaging. However, the existing description of such beams remains fragmentary, especially when their scattering by small particles is considered. We propose a new general classification of all existing vortex Bessel beam ty...

We improved the Wentzel-Kramers-Brillouin (WKB) approximation for calculating the electric field inside a scatterer. The new method, named WKBr, additionally takes into account refraction (rotation) of the incident rays at the particle-medium interface. For large particles the WKBr is equivalent to the geometric optics in the limit of relative refr...

Terahertz (THz) range, which lies between the microwave and infrared regions of the electromagnetic spectrum, presents a new frontier containing an abundance of technical applications and fundamental research problems. There are several challenges limiting the progress in the THz science and technology. One of them is the limited range of the guide...

Theoretical description of light scattering by single particles is a well-developed field, but most of it applies to particles located in vacuum or non-absorbing host medium. Although the case of absorbing host medium has also been discussed in literature, a complete description and unambiguous definition of scattering quantities are still lacking....

To simulate the interaction of a nanoparticle with an electron beam, we previously developed a theoretical description for the general case of a particle fully embedded in an infinite arbitrary host medium. The theory is based on the volume-integral variant of frequency-domain Maxwell's equations and, therefore, is naturally applicable in the discr...

We studied the Fourier spectrum of the light-scattering profiles of single particles in the Rayleigh-Gans-Debye (RGD) and Wentzel-Kramers-Brillouin (WKB) approximations. In the case of a homogeneous sphere, we found the relationship between the key parameters of the spectrum (including its phase) and the sphere characteristics-both analytically and...

We consider the simulation of scattering of the high-order vector Bessel beams in the discrete dipole approximation framework (DDA). For this purpose, a new general classification of all existing Bessel beam types was developed based on the superposition of transverse Hertz vector potentials. Next, we implemented these beams in ADDA code-an open-so...

(in Russian) Приглашенная лекция на школе, тезисов нет. Содержание очень близко докладу на ELS19 - https://www.researchgate.net/publication/353260461_The_discrete_dipole_approximation_from_Maxwell's_equations_to_practical_applications (только на русском).

The code ADDA is an open-source implementation of the discrete dipole approximation (DDA), which is a numerically exact method based on the volume-integral formulation of the Maxwell equations in the frequency domain. It can simulate interaction of arbitrary electromagnetic fields with finite scatterers having arbitrary shape and internal structure...

Terahertz (THz) frequency range, located midway between microwaves and visible light, is a spectral window with many technical applications and fundamental research problems. There are several difficulties limiting the progress in the THz science. One of them is the strong attenuation of THz radiation in waveguides, caused by high losses due to the...

Lecture (and question session) for high-school students in Koltsovo school №5, based on my experience of participating in the contest "Leaders of Russia". Also includes philosophical discussion of different types of leaders.

To simulate nanoparticle interaction with an electron beam, we developed a theory for the general case of an arbitrary host medium. This theory allows fast numerical simulations of the experiments for particles inside a substrate, since there is no need to discretize the host medium. We implemented it in the open-source software ADDA to simulate el...

The ubiquitous concept of a point dipole is potentially ambiguous due to inherent singularity of electro-magnetic fields at its location. This leads to long-standing controversies in the literature, related to the definition of the dipole polarizability and formulation of the fluctuation-dissipation theorem (FDT) in terms of the dipole moment. We d...

We consider the simulation of scattering of the high-order vector Bessel beam in the framework of the discrete dipole approximation (DDA). For this purpose, a new general classification of all existing types of Bessel beams was developed. Next, we implemented these beams in the ADDA package – an open-source parallel implementation of the DDA. This...

We extend the Wentzel-Kramers-Brillouin (WKB) approximation and apply the corresponding approximation of the internal electric field to accelerate the discrete-dipole approximation (DDA). This extension of the WKB, named WKBr, is based on accounting for the ray refraction at the particle boundary, which corrects the part of the errors in the intern...

Strongly absorbing black carbon (BC) particles are commonly mixed with other aerosols in the ambient atmospheres, resulting in absorption enhancement known as the lensing effect. If other absorbing aerosols such as mineral dust and brown carbons (BrCs) are mixed with BC particles, resulting absorption properties are less certain. Such mixtures are...

We study the scattering properties of a cloud of particles. The particles are spherical, close to the incident wavelength in size, have a high albedo, and are randomly packed to 20 % volume density. We show, using both numerically exact methods for solving the Maxwell equations and radiative-transfer-approximation methods, that the scattering prope...

Electron-energy-loss spectroscopy (EELS) is a widely used experimental technique for characterization of nanoparticles, being an extension of a standard electron microscopy. In EELS a particle under study is exposed to an electron beam and the loss of electron kinetic energy is measured after the interaction, varying the transverse position of the...

The concept of a point dipole is potentially ambiguous due to inherent singularity of electromagnetic fields at its location. We discuss this concept from several points of view. First, we consider a point dipole as a singular point in space whose sole ability is to be polarized due to the external electric field. We introduce the source Green's dy...

We studied the position and motion of poles of Lorenz-Mie (LM) coefficients, responsible for LM resonances, in the space of complex parameters: the size, the refractive index of the sphere, and the refractive index of the host medium. We performed a comprehensive theoretical analysis and classified all resonances according to their asymptotic behav...

In this work we generalize the classical framework of Mueller (or amplitude) scattering matrices for the Bessel beams (BBs). For that we extend the rotation relations of BBs (considering 'vortex' additional phase factor) for an arbitrary angle, which are useful for solving the scattering problem in a rotated coordinate system. Thus, we rework the e...

(in Russian) Лекция для школьников старших классов в Кольцовской школе №5 о том, как я стал ученым и в чем на самом деле состоит научная работа. Освещенные темы:
- Как я дошел до жизни такой
- Мои рекомендации, как добиться успеха
- В чем состоит научная работа
- Виды научной и околонаучной деятельности
- Особенности фундаментальной науки

In this semi-tutorial paper, we revisit the interference phenomena caused by pairs of co-propagating or counter-propagating transverse electromagnetic waves by letting the host medium be absorbing. We first consider plane waves in an unbounded medium, summarize the standing-wave solution of the Maxwell equations, and discuss specific effects caused...

We use the volume integral equation formulation to consider frequency-domain electromagnetic scattering of a damped inhomogeneous plane wave by a particle immersed in an absorbing medium. We show that if absorption in the host medium is sufficiently weak and the particle size parameter is sufficiently small, then (i) the resulting formalism (includ...

During the development and application of a scattering algorithm, its accuracy is normally validated by comparing with results of spherical particles given by the exact Mie theory. Being the simplest shape, sphere supports morphology-dependent resonances (MDRs), which cause sharp variations of the scattering properties in narrow size ranges. We sho...

(in Russian) Презентация для группы коллег в Минске. Абстракт: Рассеяние света широко используется для дистанционного зондирования различных объектов, начиная от металлических наночастиц и макромолекул до атмосферных аэрозолей и межзвездной пыли, и в некоторых случаях является единственным доступным подходом для характеризации их геометрических или...

The discrete dipole approximation (DDA) is a general volume-discretization method for simulating optical properties of arbitrary particles. We employ the formulation of the DDA with rectangular-cuboid dipoles (voxels) and analyze it in the limit of very small thicknesses of both dipole and scatterer. Taking the limit of zero thickness greatly simpl...

The open-source code ADDA is based on the discrete dipole approximation (DDA)-a numerically exact method derived from the frequency-domain volume-integral Maxwell equation. It can simulate interaction of electromagnetic fields (scattering and absorption) with finite 3D objects of arbitrary shape and composition. Besides standard sequential executio...

Slides for the seminar at School of Energy Science and Engineering (Harbin Institute of Technology). Abstract follows:
Light scattering is widely used in remote sensing of various objects ranging from metal nanoparticles and macromolecules to atmospheric aerosols and interstellar dust, being in some cases the only available approach to characteriz...

Slides for the seminar at School of Energy Science and Engineering (Harbin Institute of Technology). Abstract follows:
Measurement of angle-resolved light-scattering profiles (LSPs) of single particles provides unique capabilities for detailed and accurate characterization of disperse media. In this talk I will review our results of developing cha...

We develop a fast method to estimate the non-sphericity of arbitrary-shaped particles from the complex Fourier spectrum of its light-scattering profile (LSP), measured with the scanning flow cytometer (SFC). We show that previously used amplitude spectrum is not sufficiently sensitive to the non-sphericity and extensively study the phase of the spe...

Tutorial at School of Atmospheric Physics of Nanjing University of Information Science and Technology.
Deals with various not so well-known features of Word (useful for scientific writing) and gives an Introduction to reference management with Zotero.

(in Russian)
Образовательная лекция на семинаре Лаборатории Цитометрии и Биокинетики ИХКГ СО РАН. Цель - дать общее представление об итерационных методах решения систем линейных уравнений, включая несколько примеров их использования в методе дискретных диполей.

(In Russian) Обзорная лекция для аспирантов и молодых ученых ИХКГ СО РАН

Slides for the Theoretical Seminar at MetaLab (ITMO University). Abstract follows:
Light scattering is widely used in remote sensing of various objects ranging from metal nanoparticles and macromolecules to atmospheric aerosols and interstellar dust, being in some cases the only available approach to characterize their geometric or optical propert...

We use the volume integral equation formulation of frequency-domain electromagnetic scattering to settle the issue of additivity of the extinction, scattering, and absorption cross sections of a fixed tenuous group of particles. We show that all the integral optical cross sections of the group can be obtained by summing up the corresponding individ...

Many applications of electromagnetic scattering in remote sensing involve particles immersed in an absorbing rather than lossless medium, thereby making the conventional scattering theory potentially inapplicable. To analyze this issue quantitatively, we employ the FORTRAN program developed on the basis of the first-principles electromagnetic theor...

Our recent tutorial referred to in the title has summarized a general theoretical formalism of electromagnetic scattering by an arbitrary finite object in the presence of arbitrarily distributed impressed currents. This addendum builds on the tutorial to provide a streamlined discussion of specific far-field limits and the corresponding reciprocity...

We propose a calibration-free method to determine the number of receptors per cell, as well as the direct and the reverse reaction rate constants for a single receptor. The method is based on the analysis of the temporal evolution of the cells mean fluorescent intensity measured by a flow cytometer during the ligand-receptor (antigen-antibody) bind...

A recently developed FORTRAN program computing far-field optical observables for spherical particles in an absorbing medium has exhibited numerical instability arising when the product of the particle vacuum size parameter and the imaginary part of the refractive index of the host becomes sufficiently large. We offer a simple analytical explanation...

In recent papers Steelman et al. (“Is the nuclear refractive index lower than cytoplasm? Validation of phase measurements and implications for light scattering technologies”) and Schürmann et al. (“Cell nuclei have lower refractive index and mass density than cytoplasm”) obtained quantitative phase images of whole cells of various types and corresp...

The dynamics of nuclear morphology changes during apoptosis remains poorly investigated and understood. Using 3D time-lapse confocal microscopy we performed a study of early-stage apoptotic nuclear morphological changes induced by etoposide in single living HepG2 cells. These observations provide a definitive evidence that nuclear apoptotic volume...

We present a general derivation of the frequency-domain volume integral equation (VIE) for the electric field inside a nonmagnetic scattering object from the differential Maxwell equations, transmission boundary conditions, radiation condition at infinity, and locally-finite-energy condition. The derivation applies to an arbitrary spatially finite...

Although free space cannot generate electromagnetic waves, the majority of existing accounts of frequency-domain electromagnetic scattering by particles and particle groups are based on the postulate of existence of an impressed incident field, usually in the form of a plane wave. In this tutorial we discuss how to account for the actual existence...

Chylomicrons (CMs) are lipoprotein particles circulating in blood and transporting dietary lipids. Optically speaking, CMs are small compared to the wavelength of visible light and widely distributed by the size and refractive index (RI). Consequently, intensity of light scattered by CMs scales with up to the sixth power of their size, hampering si...

## Projects

Projects (9)

To talk with wider audience about various topics from popular description of our results to career planning. Many talks are given to school or university students.

The third stage of lifelong development of the DDA. It is pushed forward by two grants:
1) grant 18-12-00052 (2018-2020) from the Russian Science Foundation - http://rscf.ru/en/enprjcard/?rid=18-12-00052 - with goals:
- implementation of Bessel beams in the DDA
- efficient application to quasi-two- and one-dimensional particles (using rectangular-dipoles to the limit)
- extension to complex frequency (to compute, e.g., Casimir forces)
- optimizations for optically soft particles
- optimization for repeated simulations (block-iterative methods)
- theoretical estimates and numerical tests of the convergence speed of iterative method (in various environments)
2) grant 18-01-00502 (2018-2020) from the Russian Foundation for Basic Research - http://www.rfbr.ru/rffi/ru/project_search/o_2070758 - with goals:
- Extension to singular incident fields, including analysis of the volume integral equation for the electric field
- Simulation of (molecular) emission enhancement near nanoparticles and homogeneous plane substrate
- Optimization of algorithms to calculate Sommerfeld integrals (when a scatterer is placed near a substrate)
- Extension to a multi-layered substrate (near a scatterer)
- Extension to non-local dielectric susceptibility
- Extension to simulate EELS (electron energy losses)
- Extension to simulate radiative heat transfer
Common (synergic) goals:
- implement all new algorithms in ADDA code
- make most new features applicable to scatterers near the plane (multi-layered) substrate
- test by comparison to reference methods
- use extrapolation and similar techniques to improve the accuracy
Previous stage - https://www.researchgate.net/project/Development-of-the-discrete-dipole-approximation-2008-2017

Second stage of lifelong DDA development. The main results are:
- Advanced formulations: filtered coupled dipoles (FCD) and integration of Green's tensor (IGT)
- Rectangular-cuboid dipoles (volume elements)
- Rigorous and fast application to particles near plane homogeneous substrate
- Application of the DDA to nanoparticles/plasmonics (accuracy, review)
- Modification of the DDA for time-domain simulations
- Further development of the ADDA code.
- Comparison with other methods (T-matrix, DSM, PSTD)
It has been partly funded by two grants from the Ministry of Education and Science of the Russian Federation:
P2497 (2009-2011) - https://4science.ru/project/09-P2497
8752 (2012-2013) - https://4science.ru/project/8752/1
and grant 14-15-00155 (2014-2016) from the Russian Science Foundation - http://rscf.ru/en/enprjcard/?rid=14-15-00155
Previous stage - https://www.researchgate.net/project/Development-of-the-discrete-dipole-appoximation-till-2007
Next stage -