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Solving dielectric and plasmonic waveguide dispersion relations on a pocket calculator
Rohan D Kekatpure1, Aaron C Hryciw, Edward S Barnard
1Geballe Laboratory for Advanced Materials, Stanford University, Stanford, CA 94305, USA.
Optics Express
|January 7, 2010
Summary
A new iterative technique efficiently solves complex dispersion equations for integrated optics, benefiting nanophotonic devices. This robust method works for various structures, even with material loss, and is easy to implement.
Area of Science:
- Integrated optics
- Nanophotonics
- Computational electromagnetics
Background:
- Transcendental dispersion equations are crucial for analyzing optical waveguides.
- Existing numerical methods can be sensitive to initial guesses and complex to implement, especially for leaky or lossy structures.
Purpose of the Study:
- To present a robust iterative technique for solving complex transcendental dispersion equations.
- To develop a versatile algorithm applicable to multilayer dielectric and plasmonic waveguides.
- To offer a numerical approach with reduced sensitivity to initial guesses and ease of implementation.
Main Methods:
- An iterative technique is employed to solve transcendental dispersion equations.
- The algorithm seamlessly transitions between real and complex domains.
- The method is designed for multilayer dielectric and plasmonic waveguides.
Main Results:
- The technique effectively solves complex dispersion equations for integrated optics.
- It is suitable for multilayer dielectric and plasmonic waveguides used in nanophotonic devices.
- The algorithm handles leaky structures and material/metal loss without added complexity.
Conclusions:
- The presented iterative technique offers a robust and versatile solution for dispersion equations in integrated optics.
- The method's reduced sensitivity to initial guesses and ease of implementation make it highly practical.
- This approach facilitates the design and analysis of advanced nanophotonic devices.
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