How to write coupled mode equation of a given structure

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SUMMARY

The discussion focuses on the challenges of deriving coupled mode equations for structures within the context of PT symmetry systems. The user references a specific paper on honeycomb photonic lattices and expresses confusion over the dynamics equations presented in literature, particularly in the context of Coupled Mode Theory (CMT) as discussed by Haus and Huang. The consensus is that understanding these equations requires thorough engagement with referenced materials, including standard textbooks and review papers that consolidate complex concepts.

PREREQUISITES
  • Understanding of PT symmetry systems
  • Familiarity with Coupled Mode Theory (CMT)
  • Knowledge of condensed matter physics principles
  • Ability to interpret academic papers and references
NEXT STEPS
  • Study the derivation of equations in the referenced paper on honeycomb photonic lattices
  • Read the works of Haus and Huang on Coupled Mode Theory
  • Explore standard textbooks on condensed matter physics for foundational models
  • Seek out review papers that summarize PT symmetry systems and their applications
USEFUL FOR

Researchers, physicists, and graduate students in optics and condensed matter physics who are looking to understand the derivation of coupled mode equations in PT symmetric systems.

TimelordZhou
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Recently I am reading the papers in the field of PT symmetry systems. What I am confused is that in these papers, authors directly write out the equations describe the dynamics of the given systems( For example, in this paper http://arxiv.org/ftp/arxiv/papers/1103/1103.3389.pdf , authors put forward a honeycomb photonic lattice and they just write out the equations).
Now I am reading the papers about CMT written by Haus and Huang, but I still can not figure out how to write the equation describe the dynamics of a given structure.
So my question is that what I need to do so that I can give the coupled mode equations.

Thanks.
 
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You will have to follow the references; the equations will be derived there, or in further references.

For example, the origin of the system of equations (1) will be explained in references [3-5].

This "tight binding" model is an application of a "standard" model from condensed matter physics to their particular problem, and will originate in a standard textbook in one of the references [3-5].

Thus when you are reading a paper in a new field you may also have to read a number of the references. It is often easier to seek out a review paper so that the slogging has been simplified by an expert in the area.
 

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