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Scattering matrix approach to large-scale photonic crystal circuits
Sergei F Mingaleev1, Kurt Busch
1Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, 76128 Karlsruhe, Germany. smino@tkm.physik.uni-karlsruhe.de
Optics Letters
|April 22, 2003
Summary
We present a scattering matrix method for modeling large photonic crystal circuits. This approach accurately predicts circuit transmission using scattering matrices of individual components and connecting waveguides.
Area of Science:
- Photonics
- Optical Engineering
- Materials Science
Background:
- Photonic crystal circuits are crucial for integrated optics.
- Accurate modeling of complex photonic crystal circuits remains a challenge.
- Understanding device interactions is key to circuit design.
Purpose of the Study:
- To develop a robust modeling approach for large-scale photonic crystal circuits.
- To demonstrate the accuracy of the proposed scattering matrix method.
- To highlight the significance of frequency-dependent phase shifts in device modeling.
Main Methods:
- Utilizing a scattering matrix approach for circuit analysis.
- Calculating transmission properties based on individual device and waveguide scattering matrices.
- Analyzing the frequency dependence of reflection and transmission coefficients.
Main Results:
- The scattering matrix approach accurately models complex photonic crystal circuits.
- Transmission properties can be predicted from component scattering matrices.
- Functional devices like waveguide bends show discontinuous frequency-dependent phase shifts.
Conclusions:
- The scattering matrix method provides an accurate and scalable solution for photonic crystal circuit modeling.
- Discontinuous frequency-dependent phase shifts are critical for adequate circuit modeling.
- This approach facilitates the design and optimization of complex integrated photonic devices.