Application de l’étude de la diffraction par un réseau à la propagation dans les guides périodiques

Chandezon, J.; Dupuis, M. T.

doi:10.1007/bf02995771

Ann. Télécommun.

1983

DOI: 10.1007/bf02995771

|View full text |Cite

Application de l’étude de la diffraction par un réseau à la propagation dans les guides périodiques

J. Chandezon¹,

M. T. Dupuis²

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

1989

2007

Publication Types

Select...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Bragg resonances in a doubly periodic planar waveguide

Sandström

1989

Journal of Applied Physics

View full text Add to dashboard Cite

The dispersion relation for a doubly periodic electromagnetic waveguide is determined by means of the null-field and modal approaches. The waveguide walls are assumed to be perfectly conducting and to have the form of corrugated parallel plates. Bragg resonances appear in the form of stopbands or crossover resonances. The field inside the waveguide is obtained by means ofmadal theory. Numerical problems that emanate from mode degeneracy and large matrix sizes are dealt with by means of the Muller algorithm and singular value decomposition. The computed Poynting vector and the group velocity are discussed.

show abstract

Bragg resonances in a doubly periodic planar waveguide

Sandström

1989

Journal of Applied Physics

View full text Add to dashboard Cite

show abstract

Using symmetries of grating groove profiles to reduce computation cost of the C method

2007

J. Opt. Soc. Am. A

View full text Add to dashboard Cite

This work reduces the computation cost of the C method by taking into account the symmetries of grating grooves. All one-dimensionally periodic, single-interface, surface-relief gratings are classified into five categories according to the symmetries of the planar periodic curves describing the interface. The five categories are reflection symmetry, inversion symmetry, reflection-translation symmetry, complete symmetry (i.e., simultaneous existence of all three aforementioned symmetries), and no symmetry. Reductions of the eigenvalue problem in the C method are first carried out in real space and then in Fourier space by taking advantage of the four types of symmetries. The reflection-translation symmetry can be used without any restriction on the incident angle, but the other symmetries require a Littrow mounting; simultaneous use of the reflection-translation symmetry with any other symmetry further requires an even-order Littrow mounting. The types of eigenfunctions to be solved and boundary conditions to be matched, as well as the time reduction ratios in solving the eigenvalue problem, are given for all possible combinations of groove symmetries and incident configurations. The time reduction ratios range from 1/4 to 1/64.

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Application de l’étude de la diffraction par un réseau à la propagation dans les guides périodiques

Cited by 2 publications

References 5 publications

Bragg resonances in a doubly periodic planar waveguide

Bragg resonances in a doubly periodic planar waveguide

Using symmetries of grating groove profiles to reduce computation cost of the C method

Contact Info

Product

Resources

About