Research Interests
My research group has two broad areas of focus. One part of the research group has studied
physics of spontaneous light emission and emitter
Vita
Education  

PhD  Purdue University, West Lafayette, Indiana, USA 
MS  University of North Carolina, Charlotte, North Carolina, USA 
BE  Bharathiar University, Coimbatore, India 


Research/Professional Experience  
2009  : Professor < Associate Professor < Assistant Professor; IISc, India 
20062008  : Postdoctoral Research Associate; Purdue University, West Lafayette, USA 
20022006  : Research Assistant; Purdue University, West Lafayette, USA 
19992002  : Research / Teaching Assistant; University of North Carolina,Charlotte,USA 
Other Writings:
 “The Book Under My Pillow”, Leadstart Publishing 2012 (US; India)
 “Science in the golden shackles of its imaginary impacts”, June 2014.
 “Education in the information age: the science and the art in making up a mind,” for the Newsletter of Board for IT education standards (BITES) in Karnataka, Aug 2014.
 Emerging modi operandi in institutions for scientific research, Aug 2016.
 Bipartisanship of the voter is a first necessity in democracies, Jan 2017.
 IISc campuscalls : Bird Watch; more to come...
Computational & Statistical Physics Group
Considering our interests, research topics are diverse among members of this small group. Noting the ‘re’ in research, we like to retest, simplify and generalize the known science.
Methods for Numerical Computation & Statistical Estimation:
Advances in numerical methods have contributed to computing power as much as the
developments in hardware resources over the last few decades. Our recent results include analysis of polynomial
recurrence relations and fast computing methods for certain eigenvalue problems, circulant decomposition of a matrix, methods
for sampling and estimation that may substitute Markov
Emitter
Understanding effects of size of a structure on its intrinsic optical properties, and
coupling between emitters and nanoscale structures are areas of interest. These
theoretical and numerical studies in turn help us understand the limits of the current
models of emission or absorption, and find ways to enhance that efficiency in materials.
Our recent results include a computational method for quantum N
Applied Optics & Computation:
In the past, we have used models to develop composite nanoparticles and nanostructures that have counterintuitive but useful properties. We have studied absorption, chiral and directional scattering properties of nanostructures with applications in mind. These works involved active experimentation in collaboration with experimental groups in campus and with our industrial partners.
Publications
Note: Copyrights of these articles (by Muru Venkatapathi and his collaborators/students) are with the publishers / authors. These articles may be downloaded only for personal use. Any other use requires prior explicit permission of the authors and the publisher.
Solemn Declaration: 1) We will send articles for review/print only if we think our
work significantly alters/extends/simplifies current understanding of the Science
and 2) We will not claim novelty in our manuscripts using any wilful embellishments
of a literary, graphical, or algebraic nature. We realize that the peer
 An O(n) algorithm for generating uniform random vectors in ndimensional cones (Arun I.).Preprint
 Circulant decomposition of a matrix and the eigenvalues of Toeplitz type matrices (Hariprasad M.), Applied Mathematics & Computation 468, 128473 (2024).Preprint
 Emission enhancement in nanoassemblies with extremely small metal nanoparticles: Nonmonotonic effect of temperature and the nonMarkovian interactions (R. Dutta, K. Jain, K. Sharma and J. K. Basu), Physical Review Materials 7, 105201 (2023).
 An algorithm for estimating nonconvex volumes and other integrals in n dimensions (Arun I. and Abhijeet J.), Computational & Applied Mathematics 42, 242 (2023).Print
 Approximations for spherical scattering coefficients with negligible integral errors in parametric space (A. Khan), J. Opt. Soc. Amer. A 40 (5), 932941 (2023).Preprint
 Error estimators and their analysis
for CG, Bi
CG and GMRES (P. Jain and K. Manglani), Numerical Analysis & Applications 16 (2), 135–153 (2023).Preprint  Radiative decay of an emiter due to nonMarkovian interactions with dissipating matter (K. Jain), J. Physics:Condensed Matter 132, 113103 (2022).Preprint
 Role of Rabi oscillations in radiative states due to the fully absorbing smaller plasmonic nanoparticles (K. Jain), J. Applied Physics 132, 113103 (2022).Preprint
 Semianalytical solutions for eigenvalue problems of chains and periodic graphs (Hariprasad M.), Applied Mathematics & Computation 411, 126512 (2021).Preprint
 Large emission enhancement and emergence of strong coupling with plasmons in nanoassemblies: Role of quantum interactions and finite emitter size (R. Dutta, K. Jain and J. K. Basu), Physical Review B 100, 155413 (2019). PDF
 Strong coupling of an emitter with absorbing matter : A regime for enhancement of light emission (K. Jain), Physical Review Applied 11, 054002 (2019). PDF
 Signal Enhancement from Tunable SERS Substrates: Design and Demonstration of Multiple Regimes of Enhancement (D. R. Nayak, N. Bhat and S. Umapathy), J. Physical Chemistry C 122 (16), 9134–9140 (2018). PDF
 Fano
type spectra and other interference effects in an all dielectric nanoshell (S. Garg), J. Optics 19, 075603 (2017). PDF  Impact of ultrathin dielectric spacers on SERS: energy transfer between polarized
charges and plasmons (D. R. Nayak, N. Bhat and S. Umapathy), J. Material Chemistry C 5, 2123
2129 (2017). PDF  Analysis of numerical solutions to Sommerfeld integral relation of the half
space radiator problem (Arun I.), Applied Numerical Mathematics 106, 79 97 (2016). PDF  Plasmon
mediated emergence of collective emission and enhanced quantum efficiency in quantum dot films (Praveena M., A. Mukherjee & J. K. Basu), Physical Review B 92, 235403 (2015). PDF  Collective eigenstates of emission in an N
entity heterostructure and the evaluation of its Green tensors and self energy components, J. Opt. Soc. Amer. B 31, 3153 3163 (2014). PDF  Plasmonic interactions at close proximity in chiral geometries: Route towards broadband chiroptical response and giant enantiomeric sensitivity (G. Nair, H. S. Johnson, D. Paria & A. Ghosh), J. Physical Chemistry C 118, 4991–4997 (2014). PDF
 Photoluminescence decay rate engineering of CdSe quantum dots in ensemble arrays
embedded with gold nano
antennae (M. Haridas, A. K. Tiwari & J. K. Basu), J. Applied Physics 114, 064305 (2013). PDF  Enhanced photo
absorption efficiency of incomplete nanoshells (S. G. Dastidar, P. Bharath, A. Roy & A. Ghosh), Optics Letters 38, 3275 3278 (2013). PDF  Radiative and non
radiative effects of a substrate on localized plasmon resonance of particles (A. K. Tiwari), J. Applied Physics 112, 013529 (2012). PDF  Emitter near an arbitrary body: Purcell effect, optical theorem and the Wheeler
Feynman absorber, J. Quant. Spectros. Radiat. Transfer 113, 1705–1711 (2012). PDF  Semianalytical solution for eigenvalue problems of lattice models with boundary conditions (Athira G.).PDF
 An Analysis of the Human Development Index and Modelling Income Distributions (Prajakta B. Sanjay).PDF
 An Analysis of the Limitations of University Rankings and Its Use (Lubhawan P.).PDF
 A short study comparing countries on the quality of response to the Covid19 pandemic (Thilakam V.).PDF
 Numerical Analysis of Some Preconditioners and Associated Error Estimators for Solving Linear Systems (Abhishek D.).PDF
 Calculation of the extinction cross section and lifetime of a gold nanoparticle using FDTD simulations (Archana R.).PDF
 Enhancement of scattering from nanoparticles using substrate effect (K. Chakraborty, A. Tiwari and M. Varma).PDF
Other technical reports, proceedings and upublished thesis work: