NDLI: Extended wave propagators as pulsed-beam communication channels

Content Provider	IEEE Xplore Digital Library
Author	Kaiser, G.
Copyright Year	2006
Description	Author affiliation: Phys. Dept., UT-Austin & Signals & Waves, Austin, TX (Kaiser, G.)
Abstract	Let $P(x_{r}-x_{e})$ be the causal propagator for the wave equation, representing the signal received at the spacetime point $x_{r}$ due to an impulse emitted at the spacetime point x $_{e}.$ Such processes are highly idealized since no signal can be emitted or received at a precise point in space and at a precise time. We propose a simple and compact model for extended emitters and receivers by continuing P to an analytic function $Pmacr(z_{r}-z_{e}),$ where $z_{e}=x_{e}+iy_{e}$ represents a circular pulsed-beam emitting antenna centered at $x_{e}$ and radiating in the spatial direction of $y_{e}$ while $z_{r}=x_{r}-iy_{r}$ represents a circular pulsed-beam receiving antenna centered at $x_{r}$ and receiving from the spatial direction of $y_{r}.$ The space components $y_{e},y_{r}$ of $y_{e},y_{r}$ give the spatial orientations and radii of the antennas, while their time components $s_{e},$ $s_{r}$ represent the time a signal takes to propagate along the antennas between the center and the boundary. The analytic propagator Pmacr represents the transmission amplitude, forming a communication channel. Causality requires that the extension/orientation 4-vectors $y_{e}$ and $y_{r}$ belong to the future cone $V_{+},$ so that $z_{e}$ and $z_{r}$ belong to the future tube and the past tube in complex space-time, respectively. The imaginary "retarded time" $T_{e}=s$ $_{e}-\|y_{e}\|/c$ represents the duration of the emitted pulse, and $T_{r}=s_{r}-\|y_{r}\|/c$ represents the integration time for the received pulse. The bandwidths of the antennas are $1/T_{e}$ and $1/T_{r},$ respectively. The invariance of Pmacr under imaginary spacetime translations $(z_{e}rarrz_{e}+ieta,$ $z_{r}rarrz_{r$ +ieta) has nontrivial consequences
Sponsorship	Russian Found. for Basic Res. IEEE ED/MTT/AP St. Petersburg Chap. Russian Acad., of Sci
Starting Page	107
Ending Page	116
File Size	271627
Page Count	10
File Format	PDF
ISBN	5965102267
DOI	10.1109/DD.2006.348177
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-05-30
Publisher Place	Russia
Access Restriction	Subscribed
Rights Holder	DAYS ON DIFFRACTION
Subject Keyword	Communication channels Tellurium Partial differential equations Diffraction Directive antennas Receiving antennas Antennas and propagation Image analysis System testing Physics
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

Extended wave propagators as pulsed-beam communication channels

SBR/image approach for radio wave propagation in furnished environments

Wave equations end transmission formulas for the output of a receiving antenna

Diffraction theory of tropospheric propagation near and beyond the radio horizon: Part I--Theory

Research of Antenna with Controlled Radiation Polarization

Antennas and propagation for wireless communications

Asymptotic theory of diffraction by a small aperture

Terrestrial wave propagation: combination of fourier split-step parabolic wave equation solutions an

Correction of the astigmatism of a spherical diffraction reflector

Extended wave propagators as pulsed-beam communication channels

Similar Documents

Extended wave propagators as pulsed-beam communication channels

SBR/image approach for radio wave propagation in furnished environments

Wave equations end transmission formulas for the output of a receiving antenna

Diffraction theory of tropospheric propagation near and beyond the radio horizon: Part I--Theory

Research of Antenna with Controlled Radiation Polarization

Antennas and propagation for wireless communications

Asymptotic theory of diffraction by a small aperture

Terrestrial wave propagation: combination of fourier split-step parabolic wave equation solutions an

Correction of the astigmatism of a spherical diffraction reflector

Extended wave propagators as pulsed-beam communication channels