The future would be a race between education and catastrophe.

The sad fact of today’s life is that science gathers knowledge faster than humans gather wisdom.

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
Journal Publications:
• 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.Preprint
• An algorithm for estimating nonconvex volumes and other integrals in n dimensions (Arun I. and Abhijeet J.), Computational & Applied Mathematics in press (2023).Preprint
• Approximations for spherical scattering coefficients with negligible integral errors in parametric space (A. Khan), J. Optical Soc. of America A 40 (5), 932941 (2023).Preprint
• Error estimators and their analysis
for CG, Bi
• 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
• 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
• Analysis of numerical solutions to Sommerfeld integral relation of the half
• Plasmon
• Collective eigenstates of emission in an N
• 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
• Enhanced photo
• Radiative and non
• Emitter near an arbitrary body: Purcell effect, optical theorem and the Wheeler
Other technical reports, proceedings and upublished thesis work:
• Semianalytical 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 Covid19 pandemic (Thilakam V.).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