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Self-similar optical transmittance for a deterministic aperiodic multilayer structure.

X I Saldaña¹, E López-Cruz, D A Contreras-Solorio

¹Instituto de Física de la Benemérita, Universidad Autónoma de Puebla, Apartado Postal J-48, 72570 Puebla, Puebla, Mexico.

Journal of Physics. Condensed Matter : an Institute of Physics Journal

|August 10, 2011

Summary

This study explores spectral transmission in multilayer structures with a unique refractive index sequence. The resulting transmittance spectrum exhibits self-similarity and scaling properties, distinct from periodic or random systems.

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Area of Science:

Optics and Photonics
Materials Science

Background:

Multilayer structures are crucial in optical devices.
Understanding spectral transmission is key for material design.
Self-similar sequences offer novel structural possibilities.

Purpose of the Study:

To theoretically investigate spectral transmission properties.
To analyze a multilayer structure with a self-similar refractive index sequence ('1s-counting sequence').
To compare the findings with periodic and random structures.

Main Methods:

Theoretical analysis of spectral transmission.
Modeling of multilayer structures with a specific arithmetic sequence for refractive index.
Examination of transmittance spectra for various parameters.

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Main Results:

The transmittance spectrum is found to be between periodic and random structures.
Demonstrated clear properties of scaling and self-similarity.
Observed these properties for all incident angles and both TE and TM polarizations.

Conclusions:

The '1s-counting sequence' generates unique spectral properties in multilayer structures.
The observed scaling and self-similarity offer potential for novel optical applications.
The theoretical framework provides insights into complex optical systems.