A 2-D subset of Nano Fraction

C A Sciammarella¹, L Lamberti^2*, E Sciammarella³,  and F M Sciammarella^4
1Department of Mechanical, Materials and Aerospace Engineering, Illinois Institute of Technology, 10 32nd SW St, Chicago, IL 60616, USA
²Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari, Viale Orabona 4, Bari, 70125 Italy
³NanoFraction Inc., Chicago, IL 60611 USA
⁴Tekna Solutions, 1600 S. Praire Avenue, Chicago, IL 60616, USA

Dedicated to Prof (Dr) Daniel Malacara-Hernández

This paper presents a subset of an optical system designed to retrieve spatial information with extremely high spatial and temporal resolutions. The system, referred to as Nano Fraction (NF), utilizes lasers with wavelengths ranging from 400 to 700 nm to capture images of objects in the nanometer range. NF encompasses techniques such as Holographic Moiré (MOH), Evanescent Illumination, Broadened Brillouin Scattering (BBS), and Super-resolution (SR). The article focuses on developing a model for Brillouin scattering in two-dimensional lattices to address photon-phonon interaction issues within the general context of NF. Given the complexity of the subject, a 2-D version of the methodology is presented. The authors have extended this approach to 3-D. This extension will be the subject of future publications. © Anita Publications. All rights reserved.
Doi: 10.54955.AJP.33.12.2024.765-774
Keywords: Light scattering; Brillouin Scattering (induced and broadened), Crystalline structures, Photon-phonon interactions, Light emission of materials, Wavelength and velocity of generated waves, 2-D measurements of prismatic crystals

Peer Review Information
Method: Single- anonymous; Screened for Plagiarism? Yes
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References

1. Sciammarella C A, Lamberti L, Sciammarella E, Sciammarella F M, Santoro L, Digital Holographic Moiré Generalized Nano-Fraction, Exp Mech, (2025), Special Issue Celebrating the 100th Anniversary of Prof Cesar A Sciammarella (To appear).
2. Brillouin L, Wave Propagation in Periodic Structures, (McGraw-Hill Book Company, New York, USA), 1946.
3. Brillouin L, Les Tenseurs en Mécanique et en Elasticité, Chapter 3. Vibration des solides et les quanta, pp 312-319. Masson & C, Paris, France, (1949).
4. Garmire E, Stimulated Brillouin review: Invented 50 years ago and applied today, Int J Opt, 2018(2018)2459501; doi. org/10.1155/2018/2459501.
5. Polo J A, Mackay T G, Lakhtakia A, Electromagnetic Surface Waves: A Modern Perspective, 1st Edn, (Elsevier, Amsterdam, The Netherlands), 2013.
6. Rucker R A, Summary on the Research of the Shroud of Turin, November 14, 2018.
7. Chiao R, Brillouin Scattering and Coherent Phonon Generation, Ph D Dissertation, Massachusetts Institute of Technology, 1965.
8. Sciammarella C A, Lamberti L, Sciammarella F, The equivalent of Fourier Holography at the nanoscale, Exp Mech, 49(2009)747–773.
9. Sciammarella F M, Sciammarella C A, Lamberti L, Nano-holographic interferometry for in vivo observations. In: Shaked N T, Zalevskey Z, Satterwhite L L (eds), Biomedical Optical Phase Microscopy and Nanoscopy, (Elsevier, The Netherlands), 2013, pp 353-385.
10. Sciammarella C A, Lamberti L, Sciammarella F M, Holography at the nano level with visible light wavelengths. In: Mihaylova E, (ed), Holography – Basic Principles and Contemporary Applications, (Intech, Rijeka, Croatia), 2013, pp 243–281.
11. Hsieh W-P, High-pressure thermal conductivity and compressional velocity of NaCl in B1 and B2 phase, Sci Rep, 11(2021)21321; doi. org/10.1038/s41598-021-00736-2.