Efficient transmission mechanisms for waveguides with 90° bends in pillar photonic crystals

Masatoshi Tokushima; Jun Ushida; Akiko Gomyo; Masayuki Shirane; Hirohito Yamada

doi:10.1364/JOSAB.22.002472

Efficient transmission mechanisms for waveguides with 90° bends in pillar photonic crystals

Masatoshi Tokushima, Jun Ushida, Akiko Gomyo, Masayuki Shirane, Hirohito Yamada

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

Transmission mechanisms for simple 90° bends in waveguides in photonic crystals consisting of a square lattice of pillars (pillar PCs) were investigated. We utilized the fact that the electromagnetic field of a guided wave is characterized by two predominant plane-wave components. It was revealed by theoretical analyses that, if k_d is the wave vector of those plane-wave components, a guided wave with a Bloch wave vector k can efficiently propagate through a 90° waveguide bend when k/k_d = 1/√2. Under this wave-vector condition, a single plane-wave component of a guided wave carries nearly all the electromagnetic power through the waveguide bend. Impedance matching at the waveguide bend is also established by that power-carrying plane-wave component. It was demonstrated, using three-dimensional finite-difference time-domain simulation, that a simple 90° bend of a waveguide in a pillar-PC slab efficiently transmitted a guided wave under that wave-vector condition.

Original language	English
Pages (from-to)	2472-2479
Number of pages	8
Journal	Journal of the Optical Society of America B: Optical Physics
Volume	22
Issue number	11
DOIs	https://doi.org/10.1364/JOSAB.22.002472
Publication status	Published - 2005 Jan 1
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Atomic and Molecular Physics, and Optics

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10.1364/JOSAB.22.002472

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abstract = "Transmission mechanisms for simple 90° bends in waveguides in photonic crystals consisting of a square lattice of pillars (pillar PCs) were investigated. We utilized the fact that the electromagnetic field of a guided wave is characterized by two predominant plane-wave components. It was revealed by theoretical analyses that, if kd is the wave vector of those plane-wave components, a guided wave with a Bloch wave vector k can efficiently propagate through a 90° waveguide bend when k/kd = 1/√2. Under this wave-vector condition, a single plane-wave component of a guided wave carries nearly all the electromagnetic power through the waveguide bend. Impedance matching at the waveguide bend is also established by that power-carrying plane-wave component. It was demonstrated, using three-dimensional finite-difference time-domain simulation, that a simple 90° bend of a waveguide in a pillar-PC slab efficiently transmitted a guided wave under that wave-vector condition.",

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AU - Ushida, Jun

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AU - Shirane, Masayuki

AU - Yamada, Hirohito

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