Home arrow Tech Briefs arrow Physical Sciences arrow Measuring Two Key Parameters of H3 Color Centers in Diamond
Measuring Two Key Parameters of H3 Color Centers in Diamond Print E-mail
NASA’s Jet Propulsion Laboratory, Pasadena, California   
Oct 31 2005

These parameters are needed for the further development of diamond lasers.

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 A method of measuring two key parameters of H3 color centers in diamond has been created as part of a continuing effort to develop tunable, continuouswave, visible lasers that would utilize diamond as the lasing medium. (An H3 color center in a diamond crystal lattice comprises two nitrogen atoms substituted for two carbon atoms bonded to a third carbon atom. H3 color centers can be induced artificially; they also occur naturally. If present in sufficient density, they impart a yellow hue.) The method may also be applicable to the corresponding parameters of other candidate lasing media. One of the parameters is the number density of color centers, which is needed for designing an efficient laser. The other parameter is an optical-absorption cross section, which, as explained below, is needed for determining the number density

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    <td>Figure 1. The Power of a Transmitted Laser Beam and the level of fluorescence excited by the laser
beam are measured at various positions of the beam waist relative to the specimen.</td>
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<p>The present method represents an
  improvement over prior methods in
  which optical-absorption measurements
  have been used to determine absorption
  cross sections or number densities.
  Heretofore, in order to determine a
  number density from such measurements,
  it has been necessary to know
  the applicable absorption cross section;
  alternatively, to determine the absorption
  cross section from such measurements,
  it has been necessary to know
  the number density. If, as in this case,
  both the number density and the absorption
  cross section are initially unknown,
  then it is impossible to determine
  either parameter in the absence of
  additional information.
<p>In the present method, the needed
  additional information is extracted
  from the saturation characteristics of
  the bulk material: As a laser gain
  medium (in this case, diamond) absorbs
  more power from a pump light
  beam, it begins to absorb a smaller
  fraction of the incident power. The intensity
  level at which this saturation effect
  is observed depends on the
  atomic-absorption cross section of the
  material (in this case, the absorption
  cross section per H3 color center), but
  not on the number density of color
  centers. Thus, by measuring the saturation characteristics of the material,
  the absorption cross section per color
  center can be determined unambiguously,
  without knowledge of the number
  density. Once the absorption cross
  section is known, the number density
  of color centers can be determined, in
  the conventional manner, from measurements
  of absorption in the bulk
  material at intensity below the saturation
  level.
<p>More specifically, the method is based
largely on the following principles:
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    <td>Figure 2. These Plots of Relative Fluorescence Intensity versus longitudinal displacement of a diamond
specimen from the beam-waist position are typical of the analysis performed in the method described
in the text. In this case, the theoretical curve that best fits the readings of two fluorescence detectors
represents <img src="http://www.testbriefs.com/images/stories/techbriefs/2005/npo_30796_f7.jpg" width="83" height="14"></td>
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<p><p>• The absorption cross section (s) of a
  single color center can be obtained
  from a set of measurements of the absorption
  saturation irradiance
  <img src="http://www.testbriefs.com/images/stories/techbriefs/2005/npo_30796_f1.jpg" width="31" height="18">
and the decay time (t) of the fluorescence
excited by the absorption. For
this purpose, <img src="http://www.testbriefs.com/images/stories/techbriefs/2005/npo_30796_f1.jpg" width="31" height="18"> can be identified as
the level of the probe-beam irradiance
above which fluorescence decreases
and the fraction of incident probe
light transmitted through the specimen
increases. The absorption cross
section can then be calculated by use
of the equation
<img src="http://www.testbriefs.com/images/stories/techbriefs/2005/npo_30796_f2.jpg" width="88" height="23">
where h is Planck’s constant, c is the
speed of light, and <img src="http://www.testbriefs.com/images/stories/techbriefs/2005/npo_30796_f3.jpg" width="21" height="22"> is the wavelength
of the monochromatic light used to
probe the specimen.

<p>• Once s is known, the number density
  (N) of color centers can be obtained
  from a measurement of transmission
  (under a non-saturating condition) of
  a collimated beam of monochromatic
  light through a specimen of thickness
  l, by use of the equation
  <img src="http://www.testbriefs.com/images/stories/techbriefs/2005/npo_30796_f4.jpg" width="111" height="20">
where <img src="http://www.testbriefs.com/images/stories/techbriefs/2005/npo_30796_f5.jpg" width="17" height="17">
is the irradiance of the beam
incident on the specimen and I is the
irradiance of the light emerging from
the specimen.
<p>The laboratory apparatus for the saturation
  measurements (see Figure 1)
  includes a laser that generates a precisely
  characterized beam and a mechanism
  for translating the focus (more
  precisely, the beam waist) through the
  specimen. By moving the beam waist
  through the specimen, one can easily
  vary the irradiance over a wide range.
  To obtain the value of s, the fluorescence
  and transmission measurement
  data thus obtained at a succession of
  beam-waist positions (and, hence, at a
  succession of known irradiance vales)
  are plotted and fitted to theoretical
  curves of transmission and fluorescence
  as functions of irradiance (see
  Figure 2).
  <p><em>This work was done by W. Thomas Roberts
  of Caltech for <strong>NASA’s Jet Propulsion Laboratory</strong>.
  For further information, access the
  Technical Support Package (TSP) free on-line
  at <a href="www.techbriefs.com/tsp">www.techbriefs.com/tsp</a> under the Physical
  Sciences category.
  NPO-30796 </em>
        </td>

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