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Main Authors: Suceava, Albert, Hazra, Sankalpa, Nag, Jadupati, Hayden, John, Imam, Safdar, Liu, Zhiwen, Iyer, Abishek, Kanatzidis, Mercouri, Trolier-McKinstry, Susan, Maria, Jon-Paul, Gopalan, Venkatraman
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2507.23050
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author Suceava, Albert
Hazra, Sankalpa
Nag, Jadupati
Hayden, John
Imam, Safdar
Liu, Zhiwen
Iyer, Abishek
Kanatzidis, Mercouri
Trolier-McKinstry, Susan
Maria, Jon-Paul
Gopalan, Venkatraman
author_facet Suceava, Albert
Hazra, Sankalpa
Nag, Jadupati
Hayden, John
Imam, Safdar
Liu, Zhiwen
Iyer, Abishek
Kanatzidis, Mercouri
Trolier-McKinstry, Susan
Maria, Jon-Paul
Gopalan, Venkatraman
contents Nonlinear optical microscopy such as in the optical second-harmonic generation (SHG) modality has become a popular tool today for probing materials in the physical and biological sciences. While imaging and spectroscopy are widely used in the microscopy mode, nonlinear polarimetry, which can shed light on materials' symmetry and microstructure, is relatively underdeveloped. This is partly because quantitative analytical modeling of the optical SHG response for anisotropic crystals and films largely assumes low-numerical aperture (NA) focusing of light, where the plane-wave approximation is sufficient. Tight focusing provides unique benefits in revealing out-of-plane polarization responses, which cannot be detected by near-plane-wave illumination at normal incidence. Here, we outline a method for quantitatively analyzing SHG polarimetry measurements obtained under high-NA focusing within a microscope geometry. Experiments and simulations of a variety of standard samples, from single crystals to thin films, are in good agreement, including measured and simulated spatial SHG maps of ferroelectric domains. A solution to the inverse problem is demonstrated, where the spatial distribution of an SHG tensor with unknown tensor coefficient magnitudes is determined by experimentally measured polarimetry. The ability to extract the out-of-plane component of the nonlinear polarization in normal incidence is demonstrated, which can be valuable for high-resolution polarimetry of 2D materials, thin films, heterostructures, and uniaxial crystals with a strong out-of-plane response. Copyright 2025 Optica Publishing Group. Users may use, reuse, and build upon the article, or use the article for text or data mining, so long as such uses are for non-commercial purposes and appropriate attribution is maintained. All other rights are reserved. https://doi.org/10.1364/OPTICA.559060
format Preprint
id arxiv_https___arxiv_org_abs_2507_23050
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantitative Nonlinear Optical Polarimetry with High Spatial Resolution
Suceava, Albert
Hazra, Sankalpa
Nag, Jadupati
Hayden, John
Imam, Safdar
Liu, Zhiwen
Iyer, Abishek
Kanatzidis, Mercouri
Trolier-McKinstry, Susan
Maria, Jon-Paul
Gopalan, Venkatraman
Materials Science
Optics
Nonlinear optical microscopy such as in the optical second-harmonic generation (SHG) modality has become a popular tool today for probing materials in the physical and biological sciences. While imaging and spectroscopy are widely used in the microscopy mode, nonlinear polarimetry, which can shed light on materials' symmetry and microstructure, is relatively underdeveloped. This is partly because quantitative analytical modeling of the optical SHG response for anisotropic crystals and films largely assumes low-numerical aperture (NA) focusing of light, where the plane-wave approximation is sufficient. Tight focusing provides unique benefits in revealing out-of-plane polarization responses, which cannot be detected by near-plane-wave illumination at normal incidence. Here, we outline a method for quantitatively analyzing SHG polarimetry measurements obtained under high-NA focusing within a microscope geometry. Experiments and simulations of a variety of standard samples, from single crystals to thin films, are in good agreement, including measured and simulated spatial SHG maps of ferroelectric domains. A solution to the inverse problem is demonstrated, where the spatial distribution of an SHG tensor with unknown tensor coefficient magnitudes is determined by experimentally measured polarimetry. The ability to extract the out-of-plane component of the nonlinear polarization in normal incidence is demonstrated, which can be valuable for high-resolution polarimetry of 2D materials, thin films, heterostructures, and uniaxial crystals with a strong out-of-plane response. Copyright 2025 Optica Publishing Group. Users may use, reuse, and build upon the article, or use the article for text or data mining, so long as such uses are for non-commercial purposes and appropriate attribution is maintained. All other rights are reserved. https://doi.org/10.1364/OPTICA.559060
title Quantitative Nonlinear Optical Polarimetry with High Spatial Resolution
topic Materials Science
Optics
url https://arxiv.org/abs/2507.23050