Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Search research articles

Related Experiment Videos

Polyadic Cantor superlattices with variable lacunarity.

D L Jaggard, A D Jaggard

|February 1, 1997

Summary

This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Scattering from fractally corrugated surfaces: an exact approach.

Optics letters·2009

Same author

Single-mode operation in symmetric planar waveguides using isotropic chiral media.

Optics letters·2009

Same author

Backscatter signatures of knots.

Optics letters·2009

Same author

Backscatter signatures of knots: errata.

Optics letters·2009

Same author

Thin-wire scatterers in chiral media.

Optics letters·2009

Same author

Reflection from fractal multilayers.

Optics letters·2009

Same journal

Gaussian-modulated continuous-variable quantum key distribution over 60 km fiber using an integrated silicon photonic receiver.

Optics letters·2026

Same journal

E2E-OCT: end-to-end joint learning model using optical coherence tomography images for vocal cord leukoplakia diagnosis.

Optics letters·2026

Same journal

Holographic generation of panoramic 3D scenes by concave ellipsoidal mirror reflection.

Optics letters·2026

Same journal

Dual-pilot phase recovery with pair-wise maximum-ratio combining for coherent PONs.

Optics letters·2026

Same journal

Mapping the whispering gallery modes of a CaF<sub>2</sub> disk resonator with half-tapered fibers to estimate the fundamental mode volume.

Optics letters·2026

Same journal

Quantitative estimation of deep-subwavelength scale via dark-field scattering axial energy concentration decay profiles.

Optics letters·2026

See all related articles

This study analyzes wave reflection and transmission in fractal superlattices, introducing lacunarity as a key factor. Novel computational methods efficiently model these complex structures for the first time.

Area of Science:

Condensed matter physics
Materials science
Wave phenomena

Background:

Fractal superlattices exhibit unique wave interaction properties.
Understanding these properties is crucial for advanced material design.
Previous studies have not fully explored the impact of structural disorder.

Purpose of the Study:

To formulate and analytically solve the reflection and transmission properties of polyadic fractal superlattices.
To characterize these properties concerning stage of growth, fractal dimension, and lacunarity.
To introduce and investigate the effect of lacunarity on wave interactions with fractal structures.

Main Methods:

Analytical formulation and solution of wave propagation.
Characterization using parameters like stage of growth, fractal dimension, and lacunarity.

Related Experiment Videos

Development of a novel doubly recursive computational technique.

Main Results:

Reflection and transmission coefficients were derived for fractal superlattices.
The study presents twist plots summarizing reflection data.
The impact of lacunarity on wave interactions was quantified for the first time.

Conclusions:

Lacunarity significantly influences wave reflection and transmission in fractal superlattices.
The developed computational technique efficiently models complex Cantor superlattices.
This research provides a new framework for understanding wave phenomena in disordered fractal materials.