2011
DOI: 10.1364/oe.19.000933
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Optical Eigenmodes; exploiting the quadratic nature of the light-matter interaction

Abstract: We report a mathematically rigorous technique which facilitates the optimization of various optical properties of electromagnetic fields in free space and including scattering interactions. The technique exploits the linearity of electromagnetic fields along with the quadratic nature of the intensity to define specific Optical Eigenmodes (OEi) that are pertinent to the interaction considered. Key applications include the optimization of the size of a focused spot, the transmission through sub-wavelength apertu… Show more

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Cited by 84 publications
(83 citation statements)
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References 23 publications
(34 reference statements)
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“…Figure 1a describes our experimental set-up. Figure 1b shows the theoretical spatial field distribution of the first nine Optical Eigenmodes E ℓ in the region of interest (ROI) [7,30]. We observe that as the order of the mode ℓ increases finer details are accessed.…”
Section: Resultsmentioning
confidence: 98%
“…Figure 1a describes our experimental set-up. Figure 1b shows the theoretical spatial field distribution of the first nine Optical Eigenmodes E ℓ in the region of interest (ROI) [7,30]. We observe that as the order of the mode ℓ increases finer details are accessed.…”
Section: Resultsmentioning
confidence: 98%
“…In a parallel stream of work, Huang and Zheludev numerically synthesized superoscillations using prolate spheroidal wave functions [23]. More recently, their collaboration with Baumgartl et al resulted in a demonstration of optical subdiffraction focusing using a superoscillatory waveform constructed from optical eigenmodes, which in turn are formed from the superposition of Bessel beams [24], [25]. In their work, a subdiffraction field intensity lobe of 0.35 was created at a focal length away from a focusing microscope objective [see Fig.…”
Section: Superoscillationmentioning
confidence: 99%
“…Optical eigenmodes are used to directly determine the smallest spot of maximal intensity within a given region of interest in [39,40]. This method is used to find a range of spots tailored to different measurement tasks by considering a number of FoV in [41].…”
Section: Introductionmentioning
confidence: 99%