Optical Switching

Chapter 3.5.1 - Limited Range Wavelength Converters

3.5.1   Limited Range Wavelength Converters

The wavelength converters that were employed in the switch architectures discussed
previously were assumed to be capable of converting to and from wavelengths over
the full range of wavelengths used in the network. This assumption is not very
realistic considering current conversion technologies. Typically, the performance
of a wavelength converter strongly depends on the combination of the input and
output wavelength. This means that for a given input wavelength, translations to
certain output wavelengths result in an output signal that is significantly degraded.
In this case, a full-range wavelength converter could be implemented by cascading
several limited-range wavelength converters, but this may reduce the switching
speed as it will take a long time to perform multiple successive conversions.

In limited-range wavelength conversion [29], an input wavelength can be
converted to a set of adjacent outgoing wavelengths, which is a subset of the wave-
lengths used in the system. The set of these outgoing wavelengths is referred to
as the adjacency set of this input wavelength. The cardinality of the adjacency set
is the conversion degree of this wavelength. The adjacency set of a wavelength
λi for iÎ { 0, 1, . . . ,W - 1} is the interval {u, v}, where u = max {0, i - d} and
v = min{W - 1, i + d}, and d is defined as the conversion range. Under these
assumptions, different wavelengths may have different conversion degrees. The
wavelengths in the middle have a larger degree of 2d + 1, and the wavelengths
near the ends have smaller conversion degrees, with the smallest one being d + 1
[31]. Consider for example a system with 8 wavelengths and a conversion range
equal to 2. The adjacency set for wavelength λ4 is {λ2,λ3,λ4,λ5,λ6} with 5 elements
(2 × 2 + 1), and the adjacency set for wavelength λ1 is {λ0,λ1,λ2,λ3}, whose cardinality
is equal to 4. According to the above discussion, the wavelength conversion
degree in this system is 5.

Architectures with limited-range converters have gained attention and their performance
has been compared with full-range architectures. Results show that when
the number of wavelengths in the system is high, the performance of limited-range
conversion is comparable to full-range conversion. The arrangement of components
in limited-range architectures does not differ from architectures with full-range
conversion described earlier, except that a packet that enters the switch in a given
wavelength is not able to access all available wavelengths in an output port
(or buffer and port). Scheduling algorithms, therefore, should be modified to take
conversion ranges into account when assigning packets to channels and converters.

 

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