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Title: Launching and controlling Gaussian beams from point sources via planar transformation media

Abstract

Based on operations prescribed under the paradigm of Complex Transformation Optics (CTO) [1- 4], it was recently shown in [5] that a complex source point (CSP) can be mimicked by a paritytime transformation media. Such coordinate transformation has a mirror symmetry and results a balanced loss/gain metamaterial slab. A point source placed at the center of such slab produces a Gaussian beam propagating away from the slab surface. Here, we extend the CTO analysis to non-symmetric complex coordinate transformations and show that by using simply a (homogeneous) doubly anisotropic gain-media metamaterial slab, one can still mimic a CSP and produce Gaussian beam. Notably, a Gaussian beam can be produced in this case by point sources placed outside the slab as well. By making use of the extra degrees of freedom provided by CTO, the near-zero requirement on the real part of the resulting constitutive parameters can be relaxed to facilitate potential realization. In addition, exploitation of both real and imaginary parts of the CTO design yield direct control of the Gaussian beam properties such as peak amplitude and waist (focus) location.

Authors:
 [1];  [2];  [3]
  1. Eskisehir Osmangazi University (Turkey)
  2. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  3. The Ohio State Univ., Columbus, OH (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1497659
Report Number(s):
SAND-2017-8147J
Journal ID: ISSN 2469-9950; PRBMDO; 672240
DOE Contract Number:  
AC04-94AL85000
Resource Type:
Journal Article
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 97; Journal Issue: 7; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 74 ATOMIC AND MOLECULAR PHYSICS

Citation Formats

Odabasi, Hayrettin, Sainath, Kamalesh, and Teixeira, Fernando L. Launching and controlling Gaussian beams from point sources via planar transformation media. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.97.075105.
Odabasi, Hayrettin, Sainath, Kamalesh, & Teixeira, Fernando L. Launching and controlling Gaussian beams from point sources via planar transformation media. United States. doi:10.1103/PhysRevB.97.075105.
Odabasi, Hayrettin, Sainath, Kamalesh, and Teixeira, Fernando L. Fri . "Launching and controlling Gaussian beams from point sources via planar transformation media". United States. doi:10.1103/PhysRevB.97.075105. https://www.osti.gov/servlets/purl/1497659.
@article{osti_1497659,
title = {Launching and controlling Gaussian beams from point sources via planar transformation media},
author = {Odabasi, Hayrettin and Sainath, Kamalesh and Teixeira, Fernando L.},
abstractNote = {Based on operations prescribed under the paradigm of Complex Transformation Optics (CTO) [1- 4], it was recently shown in [5] that a complex source point (CSP) can be mimicked by a paritytime transformation media. Such coordinate transformation has a mirror symmetry and results a balanced loss/gain metamaterial slab. A point source placed at the center of such slab produces a Gaussian beam propagating away from the slab surface. Here, we extend the CTO analysis to non-symmetric complex coordinate transformations and show that by using simply a (homogeneous) doubly anisotropic gain-media metamaterial slab, one can still mimic a CSP and produce Gaussian beam. Notably, a Gaussian beam can be produced in this case by point sources placed outside the slab as well. By making use of the extra degrees of freedom provided by CTO, the near-zero requirement on the real part of the resulting constitutive parameters can be relaxed to facilitate potential realization. In addition, exploitation of both real and imaginary parts of the CTO design yield direct control of the Gaussian beam properties such as peak amplitude and waist (focus) location.},
doi = {10.1103/PhysRevB.97.075105},
journal = {Physical Review B},
issn = {2469-9950},
number = 7,
volume = 97,
place = {United States},
year = {2018},
month = {2}
}

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