- Letter
- Open Access
Experimental realization of supergrowing fields
Phys. Rev. Research 6, L032043 – Published 27 August, 2024
DOI: https://doi.org/10.1103/PhysRevResearch.6.L032043
Abstract
Supergrowth refers to the local amplitude growth rate of a signal being faster than its fastest Fourier mode. In contrast, superoscillation pertains to the variation of the phase. Compared to the latter, supergrowth can have exponentially higher intensities and promises improvement over superoscillation-based superresolution imaging. Here, we demonstrate the experimental synthesis of controlled supergrowing fields with a maximum growth rate of times the system bandlimit. Our work is an essential step toward realizing supergrowth-based far-field superresolution imaging.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (17)
- J. W. Goodman, Introduction to Fourier Optics, 4th ed. (W. H. Freeman, Macmillan Learning, New York, 2017).
- G. Chen, Z.-Q. Wen, and C.-W. Qiu, Superoscillation: From physics to optical applications, Light: Sci. Appl. 8, 56 (2019).
- G. Gbur, Using superoscillations for superresolved imaging and subwavelength focusing, Nanophotonics 8, 205 (2019).
- M. V. Berry and S. Popescu, Evolution of quantum superoscillations and optical superresolution without evanescent waves, J. Phys. A: Math. Gen. 39, 6965 (2006).
- M. Berry, N. Zheludev, Y. Aharonov, F. Colombo, I. Sabadini, D. C. Struppa, J. Tollaksen, E. T. F. Rogers, F. Qin, M. Hong et al., Roadmap on superoscillations, J. Opt. 21, 053002 (2019).
- K. S. Rogers, K. N. Bourdakos, G. H. Yuan, S. Mahajan, and E. T. F. Rogers, Optimising superoscillatory spots for far-field super-resolution imaging, Opt. Express 26, 8095 (2018).
- Y. Hu, S. Wang, J. Jia, S. Fu, H. Yin, Z. Li, and Z. Chen, Optical superoscillatory waves without side lobes along a symmetric cut, Adv. Photonics 3, 045002 (2021).
- Y. Kozawa, D. Matsunaga, and S. Sato, Superresolution imaging via superoscillation focusing of a radially polarized beam, Optica 5, 86 (2018).
- X. H. Dong, A. M. H. Wong, M. Kim, and G. V. Eleftheriades, Superresolution far-field imaging of complex objects using reduced superoscillating ripples, Optica 4, 1126 (2017).
- A. N. Jordan, Y. Aharonov, D. C. Struppa, F. Colombo, I. Sabadini, T. Shushi, J. Tollaksen, J. C. Howell, and A. N. Vamivakas, Super-phenomena in arbitrary quantum observables, Phys. Rev. A 110, 012206 (2024).
- A. N. Jordan, Superresolution using supergrowth and intensity contrast imaging, Quantum Stud.: Math. Found. 7, 285 (2020).
- D. W. Pohl, W. Denk, and M. Lanz, Optical stethoscopy: Image recording with resolution /20, Appl. Phys. Lett. 44, 651 (1984).
- H. Yang, N. Moullan, J. Auwerx, and M. A. M. Gijs, Super-resolution biological microscopy using virtual imaging by a microsphere nanoscope, Small 10, 1712 (2014).
- T. Karmakar, A. Chakraborty, A. N. Vamivakas, and A. N. Jordan, Supergrowth and sub-wavelength object imaging, Opt. Express 31, 37174 (2023).
- T. Karmakar and A. N. Jordan, Beyond superoscillation: General theory of approximation with bandlimited functions, J. Phys. A: Math. Theor. 56, 495204 (2023).
- V. Arrizón, U. Ruiz, R. Carrada, and L. A. González, Pixelated phase computer holograms for the accurate encoding of scalar complex fields, J. Opt. Soc. Am. A 24, 3500 (2007).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.6.L032043 for further details about the numerical optimization techniques and optical fields used in the experiment.