NDLI: A stochastic formulation to Telegrapher's Equation in higher dimensions

Content Provider	IEEE Xplore Digital Library
Author	Ozbayat, S. Janaswamy, R.
Copyright Year	2011
Description	Author affiliation: Antennas and Propagation Laboratory, Electrical and Computer Engineering Department, University of Massachusetts Amherst, 100 Natural Resources Rd. Amherst, 01003, USA (Ozbayat, S.; Janaswamy, R.)
Abstract	Accuracy of Kac's telegrapher's process approach for the non-zero velocity was demonstrated in II. Although this process can recover 1D TE and other boundary conditions for this approach can be developed, the approach could not be applied in higher dimensions. Although Kac's randomized wave equation solution meets analytical TE solution in higher dimensions as well, we did not mention it since it does not avoid solving the wave equation which is no easier than solving TE. The PRW on the other hand also governs 1D TE in the continuum limit, but not in 2D. We showed that Plyukhin's modification to the state transitions reads (9), i.e. the probabilities of states at a time step depend also on cross derivative terms at the previous step. A test case to validate the modified PRW model in (9) is the simple 2D wave propagation in free-space. The free-space Green's function solution for an impulse excited at time t = 0 from the origin of the xy-plane is demonstrated in Figure 5. Corresponding stochastic solution to the above case along with the case with partially reflecting/absorbing boundary conditions will be demonstrated at the symposium.
Starting Page	2157
Ending Page	2160
File Size	169144
Page Count	4
File Format	PDF
ISBN	9781424495627
ISSN	19471491
e-ISBN	9781424495634
DOI	10.1109/APS.2011.5996939
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-07-03
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Mathematical model Equations Stochastic processes Microscopy Electromagnetic scattering Propagation losses
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Evaluation of certain integrals using stochastic formulation of the lossy wave equation

Electromagnetic time reversal applied to fault detection: The issue of losses

Extension of the multi-scattering approach to stochastic polarized wave propagation in complex cavities

Stochastic models for long-term multipath fading channels and their statistical properties

Fast integral equation based analysis of transient electromagnetic scattering from three-dimensional inhomogeneous lossy dielectric objects

Applying MOMI to a dielectric foliage layer above ground for propagation prediction

Electromagnetic propagation in urban areas

Stochastic model of electromagnetic wave propagation in periodic and stratified absorbing media inclusive a semitransparent object

Wave propagation in a randomly perturbed waveguide - The one-dimensional problem

A stochastic formulation to Telegrapher's Equation in higher dimensions

Similar Documents

Evaluation of certain integrals using stochastic formulation of the lossy wave equation

Electromagnetic time reversal applied to fault detection: The issue of losses

Extension of the multi-scattering approach to stochastic polarized wave propagation in complex cavities

Stochastic models for long-term multipath fading channels and their statistical properties

Fast integral equation based analysis of transient electromagnetic scattering from three-dimensional inhomogeneous lossy dielectric objects

Applying MOMI to a dielectric foliage layer above ground for propagation prediction

Electromagnetic propagation in urban areas

Stochastic model of electromagnetic wave propagation in periodic and stratified absorbing media inclusive a semitransparent object

Wave propagation in a randomly perturbed waveguide - The one-dimensional problem

A stochastic formulation to Telegrapher's Equation in higher dimensions