My research group has two broad areas of focus. One part of the research group has studied
physics of spontaneous light emission and emitter-
|PhD||Purdue University, West Lafayette, Indiana, USA|
|MS||University of North Carolina, Charlotte, North Carolina, USA|
|BE||Bharathiar University, Coimbatore, India|
|2009-||: Professor < Associate Professor < Assistant Professor; IISc, India|
|2006-2008||: Postdoctoral Research Associate; Purdue University, West Lafayette, USA|
|2002-2006||: Research Assistant; Purdue University, West Lafayette, USA|
|1999-2002||: Research / Teaching Assistant; University of North Carolina,Charlotte,USA|
- “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 campus-calls : 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-
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 modifications in the theory for strong matter-
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 inside campus and with our industrial partners.
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 n-dimensional cones (Arun I.).Preprint
- Circulant decomposition of a matrix and the eigenvalues of Toeplitz type matrices (Hariprasad M.), Applied Mathematics & Computation, to appear.Preprint
- Emission enhancement in nanoassemblies with extremely small metal nanoparticles: Nonmonotonic effect of temperature and the non-Markovian interactions (R. Dutta, K. Jain, K. Sharma and J. K. Basu), Physical Review Materials 7, 105201 (2023).
- An algorithm for estimating non-convex 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), 932-941 (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 non-Markovian 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
- Semi-analytical 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
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
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
- Semi-analytical solution for eigenvalue problems of lattice models with boundary conditions (Athira G.).PDF
- An Analysis of 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 Covid-19 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: