Morse lens [Invited]

Chen, Huanyang; Xiao, Wen

doi:10.3788/col202018.062403

Cited by 7 publications

(3 citation statements)

References 18 publications

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“…The Mikaelian lens (independently proposed in 1951) is a conformal-mapping lens derived from Maxwell's fish-eye lens and qualifies as an AI [24,25]. Chen et al introduced the Morse lens based on the Morse potential, serving as a valuable augmentation to one-dimensional (1D) AIs [26]. Because of the periodic and closed orbit characteristics of light rays in AIs, Tyc et al performed a frequency analysis and discovered that the frequency spectra are spaced almost equally [27,28], and then concluded that the AIs are actually good superintegrability systems [29].…”

Section: Introductionmentioning

confidence: 99%

Asymmetrical Three-Dimensional Conformal Imaging Lens

Gong,

Ge,

Xiao

et al. 2024

Photonics

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Absolute instrument refers to a media that can make light rays to propagate in a closed orbit and perform imaging and self-imaging. In the past few decades, traditional investigations into absolute instrument have been centered on the two-dimensional plane and rotational symmetry situations, and have paid less attention to three-dimensional counterparts. In this article, we design two types of three-dimensional non-spherically symmetric absolute instruments based on conformal inverse transformation, which originated from the three-dimensional Luneburg lens and Lissajous lens. We carry out ray tracing on the optical performance of these new lenses and analyze the imaging laws. Our work enlarges the family of absolute instruments from two dimensions to three dimensions and symmetry to asymmetry, which may allow for imaging applications in optical waves.

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Section: Introductionmentioning

confidence: 99%

Asymmetrical Three-Dimensional Conformal Imaging Lens

Gong,

Ge,

Xiao

et al. 2024

Photonics

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“…Drawing upon the form invariance of Maxwell's equations under coordinate transformation, transformation optics (TO) theory [18][19][20] can arbitrarily regulate electromagnetic field based on specific demands, providing many novel devices such as invisibility cloaks [21], field rotators [22], illusion devices [23], to name a few. Furthermore, due to the connection between virtual space and physical space, TO brings another insight to understand and design novel geometrically perfect lenses with gradient index [24]. If the coordinate transformation is extended to the imaginary/complex space coordinate domain [25], TO can help to facilitate the comprehension and construction of hyperbolic geometries, serving as a powerful tool for manipulating hyperbolic waves at nanoscale and polaritons.…”

Section: Introductionmentioning

confidence: 99%

Materials Science at Xiamen University: A Special Issue Dedicated to the 100th Anniversary of Xiamen University

Hou

Ren

2021

Advanced Materials

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In cardiac Magnetic Resonance Imaging (MRI) analysis, T2 mapping is a tissue quantification technology to measure water and inflammation levels and has been recognized as an important versatile index for myocardial pathologies. The T2 quantification is a highly relevant task with the myocardial segmentation but they only have been explored separately in deep learning. Here, we proposed a simultaneous dual-task network for myocardial segmentation and T2 quantification, called SQNet. It integrates Transformer and Convolutional Neural Network (CNN) components. SQNet has a T2-refine fusion decoder for quantitative analysis, incorporating global features extracted by the Transformer, and employs a segmentation decoder with multiple local region supervision to enhance segmentation accuracy. Additionally, SQNet proposes a tight coupling module that aligns and fuses CNN and Transformer branch features. The mutual promotion of the two tasks enables the SQNet to focus on the myocardium regions. The dual-task performance is validated on healthy controls (HC, N=17) and acute myocardial infarction patients (AMI, N=12). The segmentation dice of SQNet on HC/AMI is 89.3/89.2, which is higher than that (87.7/87.9) of the compared state-of-the-art segmentation method. The Pearson correlation coefficient of the T2 value on HC/AMI is 0.84 and 0.93 to the label value, indicating a strong linear correlation in myocardial T2 mapping. From the clinical diagnostic perspective, eight experienced radiologists have evaluated the image quality (Score standard: Good is 4.0 and excellent is 5.0) of SQNet on HC/AMI with the segmentation score 4.60/4.58 and the T2 quantification score 4.32/4.42, which is higher than the compared state-of-the-art segmentation score (4.50/4.44) and the T2 quantification score (3.59/4.37). Thus, SQNet provides an accurate simultaneous segmentation and quantification, providing the more accurate diagnosis of cardiac disease, such as AMI.

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“…These lenses not only have the characteristics of perfect imaging or self-imaging, their trajectories are simple circles or ellipses as well. Recently, one dimensional profile (gradient direction is just along x-axis) called Morse lens and two dimensional profile (gradient directions are along x-and y-axis) called generalized Eaton/Luneburg lenses have been discovered, with the refractive index n(x) = √ 2e −ax − e −2ax and n(r) = √ 2 r (a+2) − 1 r (2a+2) respectively, where Eaton lens (a = −1) and Luneburg lens (a = −2) are revealed to their two examples [10]. We can choose different rational number 'a' to realize lenses with different functions.…”

Section: Introductionmentioning

confidence: 99%

The geometric optical characteristics of Morse lens and its inside-out version

Xue

Xiao

Chen

2021

J. Opt.

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In this letter, we will explore the geometric optical characteristics of Morse lens. We derive the general trajectory formula and find that parts of them in generalized Eaton/Luneburg lenses are coincided to circles. Moreover, we find a new kind of combined lenses that can perform perfect images on the basis of Morse lens. Our work provides new ideas for Morse lens, other traditional lenses and their combinations.

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Morse lens [Invited]

Cited by 7 publications

References 18 publications

Asymmetrical Three-Dimensional Conformal Imaging Lens

Asymmetrical Three-Dimensional Conformal Imaging Lens

Materials Science at Xiamen University: A Special Issue Dedicated to the 100th Anniversary of Xiamen University

The geometric optical characteristics of Morse lens and its inside-out version

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