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How to build the dispersion curves for waveguide

Posted Jul 15, 2013, 8:18 p.m. EDT RF & Microwave Engineering, Modeling Tools & Definitions, Parameters, Variables, & Functions, Studies & Solvers Version 4.3a 1 Reply

Evgeniy Panchenko
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Greetings

I have a rectangle plasmonic waveguide (Ag on Si with air superstrate) with thickness T and width W. I would like to know what kind of modes can support my waveguide. As I understood, this problem cannot be solved analytically (Pierre Berini, "Plasmon-polariton waves guided by thin lossy metal flms of fnite width: Bound modes of asymmetric structures" DOI: 10.1103/PhysRevB.63.125417) and must be solved numerically.

Thus, I would like to ask how can I build dispersion curves for my waveguide? Thank you
1 Reply Last Post Jul 16, 2013, 10:04 a.m. EDT
Felipe Beltran-Mejia
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Posted: 1 decade ago Jul 16, 2013, 10:04 a.m. EDT
You can make a plot beta vs. lambda and then derivate numerically two times.

or


You can use the equation modelling interface and using the formalism shown in

ol.osa.org/abstract.cfm?URI=ol-30-5-453

to obtain the first derivative analitically, then derive one more time numerically.

--
cheers,
Felipe BM
You can make a plot beta vs. lambda and then derivate numerically two times. or You can use the equation modelling interface and using the formalism shown in http://ol.osa.org/abstract.cfm?URI=ol-30-5-453 to obtain the first derivative analitically, then derive one more time numerically. -- cheers, Felipe BM

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