We consider the coupling between four photonic crystal waveguide as a multimode
interference system and showed that the dispersion curves of the eigenmodes intersect
or almost intersect. Degenerate modes appear in the system. At the crossing point, the
multimode interference is deprived and power is confined to its input direction
without observable transfering to other photonic crystal waveguides. On the basis of
these, a wavelength de-multiplexer or multiplexer is designed.
In this paper, we design a ultra-short 1×2 1310/1550 nm double-waveguide optical
power splitter based on photonic crystal multimode interference. The device can be
used to divide the input beam equally for both 1310nm and 1550nm at the same time.
The total multimode waveguide length of this device is only about 13 μm, which is
one 210th of the conventional dielectric counterparts reported. On the basis of the
guided mode propagation analysis method, the self-imaging effect is discussed for the
case of symmetric incidence. The finite-difference time-domain method is used to
simulate the propagation of the beam in the multimode interference. The results show
that the repetitive appearances of single image and twofold image of the input field
occur alternatively in this device.
A novel power splitter based on self-imaging phenomenon in multimode
heterostructure is designed and analyzed. Such a photonic crystal waveguide is a
structure combining square and hexagonal photonic crystal lattices. The size and
transmission of our designed new power splitter is much smaller and higher in
comparison with the conventional MMI power splitter. The device can be applied to
optical communication systems and be integrated easily with other optical devices.
The finite-difference time-domain (FDTD) method is adopted for the numerical
simulation of related structure. This approach can be extended to novel design of
MMI device based on photonic crystals.
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