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Title: Lower bounds on the absorption probability of beam splitters

Abstract

We derive a lower limit to the amount of absorptive loss present in passive linear optical devices such as a beam splitter. We choose a particularly simple beam splitter geometry, a single planar slab surrounded by vacuum, which already reveals the important features of the theory. It is shown that, using general causality requirements and statistical arguments, the lower bound depends on the frequency of the incident light and the transverse resonance frequency of a suitably chosen single-resonance model only. For symmetric beam splitters and reasonable assumptions on the resonance frequency {omega}{sub T}, the lower absorption bound is p{sub min}{approx_equal}2x10{sup -6}({omega}/{omega}{sub T}){sup 4}.

Authors:
 [1]
  1. Quantum Optics and Laser Science, Blackett Laboratory, Imperial College London, Prince Consort Road, London SW7 2BW (United Kingdom)
Publication Date:
OSTI Identifier:
20786780
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 73; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevA.73.013809; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; ABSORPTION; BEAM SPLITTING; CAUSALITY; GEOMETRY; PHOTON BEAMS; PROBABILITY; QUANTUM MECHANICS; RESONANCE; VISIBLE RADIATION

Citation Formats

Scheel, S. Lower bounds on the absorption probability of beam splitters. United States: N. p., 2006. Web. doi:10.1103/PHYSREVA.73.0.
Scheel, S. Lower bounds on the absorption probability of beam splitters. United States. doi:10.1103/PHYSREVA.73.0.
Scheel, S. Sun . "Lower bounds on the absorption probability of beam splitters". United States. doi:10.1103/PHYSREVA.73.0.
@article{osti_20786780,
title = {Lower bounds on the absorption probability of beam splitters},
author = {Scheel, S.},
abstractNote = {We derive a lower limit to the amount of absorptive loss present in passive linear optical devices such as a beam splitter. We choose a particularly simple beam splitter geometry, a single planar slab surrounded by vacuum, which already reveals the important features of the theory. It is shown that, using general causality requirements and statistical arguments, the lower bound depends on the frequency of the incident light and the transverse resonance frequency of a suitably chosen single-resonance model only. For symmetric beam splitters and reasonable assumptions on the resonance frequency {omega}{sub T}, the lower absorption bound is p{sub min}{approx_equal}2x10{sup -6}({omega}/{omega}{sub T}){sup 4}.},
doi = {10.1103/PHYSREVA.73.0},
journal = {Physical Review. A},
number = 1,
volume = 73,
place = {United States},
year = {Sun Jan 15 00:00:00 EST 2006},
month = {Sun Jan 15 00:00:00 EST 2006}
}
  • Some striking analogies are exhibited between the lossless quantum-mechanical beam splitter and the following two elementary quantum systems: (1) the two-dimensional isotropic oscillator and (2) the two-dimensional hydrogen atom. For example, we show that the unitary transformation connecting the input and output photon statistics at a lossless 50-50 beam splitter is identical to the transformation connecting the polar and parabolic eigenstates of the two-dimensional (2D) hydrogen atom. A similar connection between (Gaussian) laser beams and the eigenstates of the 2D oscillator is pointed out. These analogies are established by identifying the underlying symmetries of these systems and exploiting them bymore » means of group theory.« less
  • A scheme for preparing vibrational SU(2) states of motion in a two-dimensional ion trap is described. These anticorrelated two-mode states are formally equivalent to the output photon states of a lossless SU(2) interferometer with number-state inputs. Nontrivial statistics such as the binomial distribution and the discrete {open_quote}{open_quote}arcsine{close_quote}{close_quote} distribution can be generated in the vibrational states of trapped ions, and detected by measuring the population inversion of the ion driven by a laser field along a specific direction. {copyright} {ital 1996 The American Physical Society.}
  • No abstract prepared.
  • The optical performance of dichroic beam splitters developed for deuterium fluoride (DF) laser applications as shared-aperture components is presented. These components simultaneously provide high reflectance/transmittance in the 3.8-..mu..m DF laser output band and high transmittance/reflectance in the long-wavelength 8--14-..mu..m band. Optical evaluation of the reflecting dichroic yields absorption and transmission losses of <0.2 and 0.1%, respectively, at DF laser wavelengths and average transmittance 80% in the 8--14-..mu..m band. The 3.8-..mu..m transmitting dichroic yields absorptance losses of <0.4% in the DF laser band and average reflectance of >50% in the 8--14-..mu..m region.