Super-resolution by converting evanescent waves in microsphere to propagating waves and light transmitted from its surface to nano-jet

Y. Ben-Aryeh

Article ID: 6031
Vol 7, Issue 2, 2024

VIEWS - 61 (Abstract) 31 (PDF)

Abstract


The electro-magnetic (EM) waves transmitted through a thin object with fine structures is observed, by microsphere located above the thin object. The EM radiation transmitted through the object produces both evanescent waves, which include information on the fine structures of the object (smaller than a wavelength), and propagating waves which include the large image of the object (with dimensions larger than a wavelength). The super-resolutions are calculated by using Helmholtz equation. According to this equation, evanescent waves have an imaginary component of the wavevector in the z direction, leading the components of the wavevector, in the transversal directions, to becomes very large, so that the fine structures of the object can be observed. Due to the decay of the evanescent waves, only a small region near the contact point, between the thin object and the microsphere is effective for producing the super resolution effects. The image with super-resolution can be increased by a movement of the microsphere over the object, or by using arrays of microspheres. Both propagating and evanescent waves arrive at the inner surface of the microsphere. A coupling between the transmitted EM waves and resonances produced in the dielectric sphere, possibly obtained by Mie method, leads to product of the EM distribution function with the transfer function. While this transfer function might be calculated by Mie method it is possible also to use it as an experimental function. By Fourier transform of the above product we get convolution between the EM spatial modes and those of the transfer function arriving at the nano-jet, which leads the evanescent waves to become propagating waves, with effective very small wavelengths, and thus increase the resolution.


Keywords


microsphere; super-resolution; evanescent waves; nano-jet; transfer function; Mie method

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References


1. Lipson A, Lipson SG, Lipson H. Optical Physics. Published online October 28, 2010. doi: 10.1017/cbo9780511763120

2. Zhang T, Yu H, Li P, et al. Microsphere-Based Super-Resolution Imaging for Visualized Nanomanipulation. ACS Applied Materials & Interfaces. 2020; 12(42): 48093-48100. doi: 10.1021/acsami.0c12126

3. Xie Y, Cai D, Pan J, et al. Chalcogenide Microsphere‐Assisted Optical Super‐Resolution Imaging. Advanced Optical Materials. 2022; 10(6). doi: 10.1002/adom.202102269

4. Li Y, Qiu C, Ji H, et al. Microsphere‐Aided Super‐Resolution Scanning Spectral and Photocurrent Microscopy for Optoelectronic Devices. Advanced Optical Materials. 2023; 11(16). doi: 10.1002/adom.202300172

5. Wu G, Hong M. Optical Microsphere Nano-Imaging: Progress and Challenges. Engineering. Published online April 2024. doi: 10.1016/j.eng.2023.10.019

6. Zhou J, Lian Z, Zhou C, et al. Scanning microsphere array optical microscope for efficient and large area super-resolution imaging. Journal of Optics. 2020; 22(10): 105602. doi: 10.1088/2040-8986/abb17b

7. Upreti N, Jin G, Rich J, et al. Advances in Microsphere-based Super-resolution Imaging. IEEE Reviews in Biomedical Engineering. Published online 2024: 1-16. doi: 10.1109/rbme.2024.3355875

8. Liu C, Ye A. Microsphere assisted optical super-resolution imaging with narrowband illumination. Optics Communications. 2021; 485: 126658. doi: 10.1016/j.optcom.2020.126658

9. Shang Q, Tang F, Yu L, et al. Super-Resolution Imaging with Patchy Microspheres. Photonics. 2021; 8(11): 513. doi: 10.3390/photonics8110513

10. Jiang W, Wang J, Yang Y, et al. A Review of Microsphere Super-Resolution Imaging Techniques. Sensors. 2024; 24(8): 2511. doi: 10.3390/s24082511

11. Geints YE, E.K. Panina. Surface roughness influence on photonic nanojet parameters of dielectric microspheres. Computer Optics. 2023; 47(4): 559-566. doi: 10.18287/2412-6179-co-1280

12. Gasparic V, Mayerhofer TG, Zopf D, et al. To generate a photonic nanojet outside a high refractive index microsphere illuminated by a Gaussian beam. Optics Letters. 2022; 47(10): 2534. doi: 10.1364/ol.459001

13. Gasparic V, Ristic D, Mayerhofer TG, et al. Photonic nanojet of a Gaussian beam illuminated low refractive index microsphere in air: A comprehensive variation of parameters. Journal of Quantitative Spectroscopy and Radiative Transfer. 2022; 282: 108121. doi: 10.1016/j.jqsrt.2022.108121

14. Darafsheh A. Photonic nanojets and their applications. Journal of Physics: Photonics. 2021; 3(2): 022001. doi: 10.1088/2515-7647/abdb05

15. Mandal A, Tiwari P, Upputuri PK, et al. Characteristic parameters of photonic nanojets of single dielectric microspheres illuminated by focused broadband radiation. Scientific Reports. 2022; 12(1). doi: 10.1038/s41598-021-03610-3

16. Kwon S, Park J, Kim K, et al. Microsphere-assisted, nanospot, non-destructive metrology for semiconductor devices. Light: Science & Applications. 2022; 11(1). doi: 10.1038/s41377-022-00720-z

17. Goodman JW. Introduction to Fourier optics. Roberts and Company Publishers; 2017.

18. Lee S, Li L, Wang Z. Optical resonances in microsphere photonic nanojets. Journal of Optics. 2013; 16(1): 015704. doi: 10.1088/2040-8978/16/1/015704

19. Lecler S, Perrin S, Leong-Hoi A, et al. Photonic jet lens. Scientific Reports. 2019; 9(1). doi: 10.1038/s41598-019-41193-2

20. Lee S, Li L, Ben-Aryeh Y, et al. Overcoming the diffraction limit induced by microsphere optical nanoscopy. Journal of Optics. 2013; 15(12): 125710. doi: 10.1088/2040-8978/15/12/125710

21. Wang Z, Guo W, Li L, et al. Optical virtual imaging at 50 nm lateral resolution with a white-light nanoscope. Nature Communications. 2011; 2(1). doi: 10.1038/ncomms1211

22. Darafsheh A, Walsh GF, Dal Negro L, et al. Optical super-resolution by high-index liquid-immersed microspheres. Applied Physics Letters. 2012; 101(14). doi: 10.1063/1.4757600

23. Lai HSS, Wang F, Li Y, et al. Super-Resolution Real Imaging in Microsphere-Assisted Microscopy. Abraham T, ed. PLOS ONE. 2016; 11(10): e0165194. doi: 10.1371/journal.pone.0165194

24. Lecler S, Takakura Y, Meyrueis P. Properties of a three-dimensional photonic jet. Optics Letters. 2005; 30(19): 2641. doi: 10.1364/ol.30.002641

25. Horiuchi N. Photonic nanojets. Nature Photonics. 2012; 6(3): 138-139. doi: 10.1038/nphoton.2012.43

26. Durnin J. Exact solutions for nondiffracting beams I The scalar theory. Journal of the Optical Society of America A. 1987; 4(4): 651. doi: 10.1364/josaa.4.000651

27. Ben-Aryeh Y. Nano-jet related to Bessel beams and to super-resolutions in microsphere optical experiments. EPJ Techniques and Instrumentation. 2017; 4(1). doi: 10.1140/epjti/s40485-017-0038-5

28. Ben-Aryeh Y. Superresolution observed from evanescent waves transmitted through nano-corrugated metallic films. Applied Physics B. 2012; 109(1): 165-170. doi: 10.1007/s00340-012-5193-4

29. Ben-Aryeh Y. Increase of resolution by use of microspheres related to complex Snell’s law. Journal of the Optical Society of America A. 2016; 33(12): 2284. doi: 10.1364/josaa.33.002284

30. Yan Y, Li L, Feng C, et al. Microsphere-Coupled Scanning Laser Confocal Nanoscope for Sub-Diffraction-Limited Imaging at 25 nm Lateral Resolution in the Visible Spectrum. ACS Nano. 2014; 8(2): 1809-1816. doi: 10.1021/nn406201q

31. Wu G, Hong M. Optical nano-imaging via microsphere compound lenses working in non-contact mode. Optics Express. 2021; 29(15): 23073. doi: 10.1364/oe.426231

32. Maslov AV, Astratov VN. Origin of the super-resolution of microsphere-assisted imaging. Applied Physics Letters. 2024; 124(6). doi: 10.1063/5.0188450

33. Maslov AV, Astratov VN. Resolution and Reciprocity in Microspherical Nanoscopy: Point-Spread Function Versus Photonic Nanojets. Physical Review Applied. 2019; 11(6). doi: 10.1103/physrevapplied.11.064004

34. Huszka G, Yang H, Gijs MAM. Microsphere-based super-resolution scanning optical microscope. Optics Express. 2017; 25(13): 15079. doi: 10.1364/oe.25.015079

35. Ebbesen TW, Lezec HJ, Ghaemi HF, et al. Extraordinary optical transmission through sub-wavelength hole arrays. Nature. 1998; 391(6668): 667-669. doi: 10.1038/35570

36. Ghaemi HF, Thio T, Grupp DE, et al. Surface plasmons enhance optical transmission through subwavelength holes. Physical Review B. 1998; 58(11): 6779-6782. doi: 10.1103/physrevb.58.6779

37. Ben-Aryeh Y. Transmission enhancement by conversion of evanescent waves into propagating waves. Applied Physics B. 2008; 91(1): 157-165. doi: 10.1007/s00340-008-2945-2

38. Ben-Aryeh Y. Tunneling of evanescent waves into propagating waves. Applied Physics B. 2006; 84(1-2): 121-124. doi: 10.1007/s00340-006-2220-3

39. Ben-Aryeh Y. Nonclassical high resolution optical effects produced by evanescent waves. Journal of Optics B: Quantum and Semiclassical Optics. 2003; 5(6): S553-S556. doi: 10.1088/1464-4266/5/6/002

40. Ben-Aryeh Y. Super resolution of nanomaterials and quantum effects obtained by microspheres. Progress in Materials Science. 2019; 1(3): 1-21. doi:10.21926/rpm.1903003




DOI: https://doi.org/10.24294/can.v7i2.6031

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