Passive Components for Dense Optical Integration by Christina Manolatou

By Christina Manolatou

Passive elements for Dense Optical Integration provides a theoretical and numerical research of excessive index-contrast (HIC) passive elements that could function construction blocks on the end-points and nodes of WDM communications structures. the most attribute of those constructions is their miniature dimension and their low radiation loss end result of the robust mild confinement in excessive index-contrast platforms. therefore huge scale, excessive density optical integration should be attainable with the linked merits of elevated performance, compactness and price.
Passive parts for Dense Optical Integration provides novel units for filtering, optical interconnections and coupling to fibers. The latter a part of the booklet explores coupling constructions which are just a couple of wavelengths lengthy but delivers effective coupling. additionally mentioned are attainable destiny instructions for this expertise.
Passive elements for Dense Optical Integration may be of curiosity to researchers and improvement engineers in built-in optics and fiber optics. It additionally offers an outstanding complement to a graduate path in optics.

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The concept was first proposed using group theoretical arguments and illustrated numerically using photonic crystal microcavities [20],[51]. In this chapter we use a simpler formulation based on CMT in time to explain the operation of the filter and present numerical examples using conventional high index-contrast waveguides and cavities [21]. 5 and [17],[21]. 2 Four-port system with single mode resonator The basic implementation of the channel add/drop filters considered here is a fourport system that consists of a resonator placed between two waveguides.

We use the fact that: H . H n+I/2 _ y, scarli -1/2 - E z, tot Ini • -- . tot i -1/2 - H . 34). tot In+1 _ E . IOI i - 112 E~X y, i nc i - 1I2 z,IOI i stored in memory H · In+1 _ 112 - v, seal i o H o o o stored in memory In- 1I2 y. sea l i -112 o stored in memory known + Il~X ~t (E z. seal ,n_ In E z. 38) o stored in memory known The data for the incident fields have the time dependence of Eq. 42) (next section) or simply sinusoidal dependence Es(n) = sin [2nf o(nAt - 3't)] and the spatial dependence can be chosen to be the fundamental mode profile at the center frequency f 0 ' for the waveguide where the source is located.

When the mode field is established inside the cavity the source is turned off, the coupling waveguide, if any, is removed and the cavity fields are left to ring down due to radiation. The field values at one or more points inside the cavity are stored in memory at every step and the cavity is surrounded by a virtual box inside which the electromagnetic energy is calculated at each step in time. At the end of the simulation, the time sequence of the field values at the chosen point(s) is transformed by FFf to yield the amplitude spectrum assuming that the number of time steps has been sufficient for the FFf to accurately resolve the frequency response.

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