3.6.3. Worked Example: Doped Silica Waveguide Mode

In simulating waveguide devices, the first requirement is to have a source that produces a pure waveguide mode. Sometimes a Gaussian beam is sufficient, but often it is not, especially when small reflections or phase shifts are important. Analytical solutions are not often available for the modes of real dielectric guides, so a numerical procedure is of more general use. A good one is to illuminate a long section of model waveguide with some approximate mode, and let the leaky components lose themselves. In this example, we build a 60-µm long doped silica core guide with a 5-µm square core and an index difference of 0.02. Absorbing material with the same index as the core lines the edges of th region, to suck up the leaky field. In this simulation, we take advantage of the unidirectional character of the plane wave sources to gain double the propagation distance: we let the wave bounce off the far end of the guide and return through the source plane. We take a modefile output just behind the source plane, where the wave has had 110 µm or so to be purified. If desired, the treatment can be repeated by running this source through the region again.

Figure 2.15: 60-µm long doped silica waveguide, excited with a circular Gaussian beam of diameter equal to its core width. A black glass region is at each end (waveguide1c.par).

3.6.4. Worked Example: Glass Ridge Waveguide to Free Space Coupler

3.7. Predefined Constants

The following constants and units are predefined for convenience. SI units are used throughout. These names are reserved and cannot be redefined.

m

=

1.0

km

=

1000*m

cm

=

m/100

mm

=

cm/10

um

=

mm/1000

micron

=

um

nm

=

um/1000

angstrom

=

nm/10

s

=

1

ms

=

s/1000

us

=

ms/1000

ns

=

us/1000

ps

=

ns/1000

41

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Image 45
IBM Release 1.93 Worked Example Doped Silica Waveguide Mode, Worked Example Glass Ridge Waveguide to Free Space Coupler