Wave theory of virtual image [Invited]

Bekirov, A. R.; Luk’yanchuk, Boris; Wang, Zengbo; Fedyanin, Andrey A.

doi:10.1364/ome.437467

Cited by 10 publications

(7 citation statements)

References 29 publications

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“…Согласно теории Аббе, оптическое изображение, создаваемое некоторым источником поля, является восстановленным фурье-преобразованием, определенным при отбрасывании затухающих мод. С использованием такого определениея поле мнимого изображения вычисляется [6,7,10] по формуле…”

Section: матричный оператор преобразования поля в его оптическое изоб...unclassified

“…Нормировка функций M, N совпадает с принятой в работе [12] Используя соотношение (7), можно определить ядро оператора A. Пусть матрица Q содержит в качестве столбцов векторы из ядра оператора A, тогда AQ = 0. Используя условия (7), легко убедиться что в этом случае…”

Section: матричный оператор преобразования поля в его оптическое изоб...unclassified

“…Как отмечалось выше, столбцы матрицы A являются ее собственными векторами. Учитывая явный вид элементов столбцов и условие (7), можно утверждать, что все четные столбцы выражаются через нечетные и наоборот. Аналогичное замечание справедливо и для строк (этим, по сути, обусловлено равенство detA = 0).…”

Section: суперразрешение в мнимом изображении при преобразовании поле...unclassified

“…Другая модель связывает суперразрешение с фокусировкой радиально поляризованного света, которая приводит к возникновению продольно поляризованного света на выходе из частицы и соответствующего преодоления дифракционного предела [4,5]. Есть модели, использующие особенности возбуждения мод шепчущей галереи [6] и интерференционный подход [7]. В целом эти подходы можно разделить на модели, основанные на построении функции рассеяния сферой точечного источника света [8], и модели, опирающиеся на рассмотрение фотонного наноджета [9].…”

Section: Introductionunclassified

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О Суперразрешении В Мнимом Изображении В Прозрачной Диэлектрической Сфере

Бекиров¹

2023

Оптика И Спектроскопия

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Micrometer-sized lenses are known to be able to resolve objects beyond the diffraction limit. In this paper, using the matrix formalism in imaging, we discuss two possible models of this phenomenon. The first model considers the transformation of the source field keeping the real image unchanged. The second model is focused on finding the scattering matrix a particle that gives super resolution in virtual image. Both approaches demonstrate the required super resolution. Disadvantages of the proposed models and possible ways to solve them are discussed.

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Section: матричный оператор преобразования поля в его оптическое изоб...unclassified

Section: суперразрешение в мнимом изображении при преобразовании поле...unclassified

Section: Introductionunclassified

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О Суперразрешении В Мнимом Изображении В Прозрачной Диэлектрической Сфере

Бекиров¹

2023

Оптика И Спектроскопия

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“…Moreover, the applicability of the concept of aberrations to microspheres is not well justified due to the fact that the optical operation of such contact microspheres cannot be viewed as a result of some rather small deviation from an ideal case as in the classical geometrical optics (GO). The involvement of objects’ near-fields often in a form of plasmonic or localized surface plasmon resonance excitation and extreme curvature of the wavelength-scale microspheres call for an exact solution of the Maxwell equations as the only possible way of theoretical understanding of such imaging 23 – 30 . The exact numerical solutions predicted the resolution at approaching the experimental values.…”

Section: Introductionmentioning

confidence: 99%

Wave optics of imaging with contact ball lenses

Maslov¹,

Jin

Astratov

2023

Sci Rep

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Recent progress in microspherical superlens nanoscopy raises a fundamental question about the transition from super-resolution properties of mesoscale microspheres, which can provide a subwavelength resolution $$\sim \lambda /7$$ ∼ λ / 7 , to macroscale ball lenses, for which the imaging quality degrades because of aberrations. To address this question, this work develops a theory describing the imaging by contact ball lenses with diameters $$30<D/\lambda <4000$$ 30 < D / λ < 4000 covering this transition range and for a broad range of refractive indices $$1.3<n<2.1$$ 1.3 < n < 2.1 . Starting from geometrical optics we subsequently proceed to an exact numerical solution of the Maxwell equations explaining virtual and real image formation as well as magnification M and resolution near the critical index $$n\approx 2$$ n ≈ 2 which is of interest for applications demanding the highest M such as cellphone microscopy. The wave effects manifest themselves in a strong dependence of the image plane position and magnification on $$D/\lambda $$ D / λ , for which a simple analytical formula is derived. It is demonstrated that a subwavelength resolution is achievable at $$D/\lambda \lesssim 1400$$ D / λ ≲ 1400 . The theory explains the results of experimental contact-ball imaging. The understanding of the physical mechanisms of image formation revealed in this study creates a basis for developing applications of contact ball lenses in cellphone-based microscopy.

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Roadmap on Label‐Free Super‐Resolution Imaging

Astratov,

Sahel,

Eldar

et al. 2023

Laser & Photonics Reviews

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Label‐free super‐resolution (LFSR) imaging relies on light‐scattering processes in nanoscale objects without a need for fluorescent (FL) staining required in super‐resolved FL microscopy. The objectives of this Roadmap are to present a comprehensive vision of the developments, the state‐of‐the‐art in this field, and to discuss the resolution boundaries and hurdles that need to be overcome to break the classical diffraction limit of the label‐free imaging. The scope of this Roadmap spans from the advanced interference detection techniques, where the diffraction‐limited lateral resolution is combined with unsurpassed axial and temporal resolution, to techniques with true lateral super‐resolution capability that are based on understanding resolution as an information science problem, on using novel structured illumination, near‐field scanning, and nonlinear optics approaches, and on designing superlenses based on nanoplasmonics, metamaterials, transformation optics, and microsphere‐assisted approaches. To this end, this Roadmap brings under the same umbrella researchers from the physics and biomedical optics communities in which such studies have often been developing separately. The ultimate intent of this paper is to create a vision for the current and future developments of LFSR imaging based on its physical mechanisms and to create a great opening for the series of articles in this field.

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Wave theory of virtual image [Invited]

Cited by 10 publications

References 29 publications

О Суперразрешении В Мнимом Изображении В Прозрачной Диэлектрической Сфере

О Суперразрешении В Мнимом Изображении В Прозрачной Диэлектрической Сфере

Wave optics of imaging with contact ball lenses

Roadmap on Label‐Free Super‐Resolution Imaging

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