Metadata
Title
CSPL
Category
undergraduate
UUID
02fb79e8193945a6be717a1f63cf0923
Source URL
https://cds.iisc.ac.in/faculty/murugesh/lab_html/
Parent URL
https://cds.iisc.ac.in/research-new/computational-science-and-engineering/
Crawl Time
2026-03-23T22:43:12+00:00
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CSPL

Source: https://cds.iisc.ac.in/faculty/murugesh/lab_html/ Parent: https://cds.iisc.ac.in/research-new/computational-science-and-engineering/

Research Interests

Our research group has two broad areas of focus. One part of the research group has studied physics of spontaneous light emission and emitter-matter interactions to develop theoretical ideas and computational models. Our theoretical work is tested in man-made materials through our collaboration with experimental groups. The other area of interest includes methods for numerical and statistical computing. Our tools of analysis includes only working mathematics, to minimize abstraction even while trying to maximize generality. This work may combine mathematics and computational solutions as general-purpose methods for scientific/engineering problems. A short talk summarizing some of our past research topics and its results can be found here. A longer talk on circulant decomposition of a matrix and its use in fast multiplication of large matrices is here.

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
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

\ \ Other Writings:

Computation, Statistics and 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, and Scientific Computing :

Advances in numerical methods have contributed to computing power as much as the developments in hardware resources over the last few decades. Our recent methods and results include analysis of polynomial recurrence relations and fast computing methods for certain eigenvalue problems, circulant decomposition of a matrix, fast approximate multiplication of matrices, and error estimators for linear solvers. We have proposed methods for sampling and estimation called N-Sphere-Monte-Carlo (NSMC) that can substitute Markov-Chain-Monte-Carlo (MCMC) methods in relevant problems, and improvements in randomized solvers for linear systems. The topics in scientific computing included efficient approximations of spherical scattering coefficients, analysis of various approximations of the Sommerfeld integrals, and efficient generation of random directions in high-D cones with uniform probability density. Our work is demonstrated as usable algorithms, either with bounds on convergence or a statistical performance analysis over numerous problems.

Emitter-Matter interaction and its Physics:

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 results include a computational method for quantum many-body problems of (weakly excited) spontaneous emission that is suited for realistic nanoscale materials, and theoretical models of strong matter-coupling regime of spontaneous emission to explain the unknown origin of enhancements in Surface-Enhanced-Raman-Spectroscopy (SERS) and near extremely small non-scattering metal nanoparticles.

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-review system is severely stressed and deformed by its own weight, and that there is a misplaced emphasis on our rudimentary citation system which might be fast losing its correlation to the real impacts of Science. So it is our responsibility to make an effort; see related article by MV.

Journal Publications:

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Department of Computational and Data Sciences, Indian Institute of Science, Bangalore - 560012, India.