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Optical properties of photonic crystals - New Jersey Institute of ...

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25<br />

2.6 Perfect Channel Drop Filters<br />

An important device for optical communications and in many other applications is a<br />

channel-drop filter. Given a collection <strong>of</strong> signals propagating down a waveguide (called<br />

the bus waveguide), a channel-drop filter picks out one small wavelength range (channel)<br />

and reroutes (drops) it into another waveguide (called the drop waveguide). For an<br />

example <strong>of</strong> how this is useful, imagine an optical telephone line carrying a number <strong>of</strong><br />

conversations simultaneously in different wavelength bands (i.e. using wavelength<br />

division multiplexing). Each conversation needs to be picked out <strong>of</strong> the line and routed to<br />

its destination, and to separate a conversation you need a channel-drop filter. It turns out<br />

that by using <strong>photonic</strong> <strong>crystals</strong>, one can construct a perfect channel drop filter--that is,<br />

one which reroutes the desired channel into the drop waveguide with 100% transfer<br />

efficiency (i.e. no losses, reflection, or crosstalk), while leaving all other channels in the<br />

bus waveguide propagating unperturbed.<br />

2.7 Perfect Waveguide Intersections<br />

In constructing integrated optical "circuits," space constraints and the desire for complex<br />

systems involving multiple waveguides necessitate waveguide crossings. We propose a<br />

novel method for intersecting waveguides with negligible crosstalk. Moreover, this<br />

technique depends on general symmetry considerations that can be applied to almost any<br />

system a priori, with little need for manual "tuning." The basic idea is to consider<br />

coupling <strong>of</strong> four branches, or "ports" <strong>of</strong> the intersection in

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