https://ir.vidyasagar.ac.in/jspui/handle/123456789/2466 2026-04-26T16:06:31Z 2026-04-26T16:06:31Z Daniel, John https://ir.vidyasagar.ac.in/jspui/handle/123456789/2533 2019-01-11T07:49:36Z 2018-12-24T00:00:00Z

Title: Application of Method of Separation of Variables to Find Wave Motion in Waveguides with Variable Boundaries and Medium Authors: Daniel, John Abstract: Perturbation methods were used to study the sound wave propagation in several acoustic wave guides with weak surface undulations. These methods are highly complicated and applicable only in a very narrow domain of the wave guide. Moreover, such solutions create singularities in the solution. Singularities in solution of physical problems originate due to unrealistic assumptions. Therefore, a much simpler and widely applicable analytical method of solution was developed using separation of variables method and presented recently to such wave guide problems. In this article, application of that solution to find wave propagation in several periodic waveguide structures is enumerated.

2018-12-24T00:00:00Z Nagoorgani, A Sudha, K https://ir.vidyasagar.ac.in/jspui/handle/123456789/2532 2019-01-08T11:07:43Z 2018-12-24T00:00:00Z

Title: A Variant of the Complementary Pivot Algorithm for Solving the Linear Complementarity Problem under Fuzzy Environment Authors: Nagoorgani, A; Sudha, K Abstract: In this paper, a variant of the complementary pivot algorithm is proposed to solve the fuzzy linear complementarity problems (FLCP). Here, the cost coefficients, constraint coefficients and the right hand side coefficients are represented by triangular fuzzy numbers. The effectiveness of the proposed methods is illustrated by means of a numerical example.

2018-12-24T00:00:00Z Choudhary, B. K. Giri, D. K. https://ir.vidyasagar.ac.in/jspui/handle/123456789/2531 2019-01-08T11:06:01Z 2018-12-24T00:00:00Z

Title: Nonclassical States of Light in Parametric Down-Conversion Process Authors: Choudhary, B. K.; Giri, D. K. Abstract: We study nonclassical states of light like squeezing and sub-poissonian in spontaneous and stimulated parametric down-conversion process. The amplitude-squared and amplitude-cubed squeezing effects of the radiation field in the fundamental mode are investigated and found to be dependent on the number of pump photons of the system. The photon statistics of the fundamental mode in this process have also been investigated and found to be sub-poissonian in nature. It is shown that the amplitude squeezing and sub-poissonian photon statistics of light occur simultaneously. It is observed that degree of squeezing and occurrence of sub-poissonian is directly associated with photon number in the fundamental mode of the optical field. The dependence of the amplitude squeezing in terms of signal to noise ratio on the number of photons is studied. It is found that maximum signal to noise ratio is possible in lower order i.e. in normal squeezing.

2018-12-24T00:00:00Z Dey, Some Nath Dutta, Ushasi https://ir.vidyasagar.ac.in/jspui/handle/123456789/2530 2019-01-08T11:03:52Z 2018-12-24T00:00:00Z

Title: Microstructural Characterization of Cold-Worked Lead (Pb) Powder by X-Ray Diffraction Line Profile Modelling Authors: Dey, Some Nath; Dutta, Ushasi Abstract: Microstructural parameters for plastically deformed (hand-filed) and annealed lead (Pb) powders are investigated in terms of X-ray diffraction profile fitting analysis. Like the case of Pb-Bi binary alloy systems in -phase the net deformation stacking fault probability is very small. The values of area averaged crystallite size and dislocation density is comparable with vapour deposited Pb film [3]. From modified W-A analysis the value of dislocation density () is found out to be of the order of 1015 m-2 and that from multiple whole profile (MWP) analysis is of the order of 1013 m-2. A disagreement in case of cold-worked powders between MWP fitting of Fourier coefficients and modified W-A analysis is observed. Comparable to MWP procedure the modified W-A analysis provides a better result indicating the importance of dislocation microstructure in the analysis procedure. The type of dislocation is found to be predominantly of screw, type dipoles for cold-worked and edge type in annealed powders respectively. The dislocation arrangement found to be more correlated in cold-worked powders compared to annealed powders.

2018-12-24T00:00:00Z