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http://dx.doi.org/10.3807/COPP.2021.5.5.491

Scalar Fourier Modal Method for Wave-optic Optical-element Modeling  

Kim, Soobin (Department of Electronics and Information Engineering, Korea University Sejong Campus)
Hahn, Joonku (School of Electronic and Electrical Engineering, Kyungpook National University)
Kim, Hwi (Department of Electronics and Information Engineering, Korea University Sejong Campus)
Publication Information
Current Optics and Photonics / v.5, no.5, 2021 , pp. 491-499 More about this Journal
Abstract
A scalar Fourier modal method for the numerical analysis of the scalar wave equation in inhomogeneous space with an arbitrary permittivity profile, is proposed as a novel theoretical embodiment of Fourier optics. The modeling of devices and systems using conventional Fourier optics is based on the thin-element approximation, but this approach becomes less accurate with high numerical aperture or thick optical elements. The proposed scalar Fourier modal method describes the wave optical characteristics of optical structures in terms of the generalized transmittance function, which can readily overcome a current limitation of Fourier optics.
Keywords
Electromagnetic theory; Fourier modal method; Numerical modeling;
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1 S. Schmidt, T. Tiess, S. Schroter, R. Hambach, M. Jager, H. Bartelt, A. Tunnermann, and H. Gross, "Wave-optical modeling beyond the thin-element-approximation," Opt. Express 24, 30188-30200 (2016).   DOI
2 H. Gross, Handbook of Optical Systems: Fundamentals of Technical Optics (Wiley-VCH, Darmstadt, Germany. 2005), Vol. 1.
3 S. Lee, C. Jang, S. Moon, J. Cho, and B. Lee, "Additive light field displays: realization of augmented reality with holographic optical elements," ACM Trans. Graph. 35, 60 (2016).
4 M. Kim, Y. Choi, C. Yoon, W. Choi, J. Kim, Q.-H. Park, and W. Choi, "Maximal energy transport through disordered media with the implementation of transmission eigenchannels," Nat. Photonics 6, 581-585 (2012).   DOI
5 S. Y. Lee, K. Lee, S. Shin, and Y. K. Park, "Generalized image deconvolution by exploiting spatially variant point spread functions," arXiv:1703.08974 (2017).
6 J. W. Goodman, Introduction to Fourier optics, 3rd ed. (Roberts and Company Publishers, CO, USA. 2004).
7 T. D. Gerke and R. Piestun, "Aperiodic volume optics," Nat. Photonics 4, 188-193 (2010).   DOI
8 K.-H. Brenner and W. Singer, "Light-propagation through microlenses: a new simulation method," Appl. Opt. 32, 4984-4988 (1993).   DOI
9 M. D. Feit and J. A. Fleck, "Light propagation in graded-index optical fibers," Appl. Opt. 17, 3990-3998 (1978).   DOI
10 J. Van Roey, J. van der Donk, and P. E. Lagasse, "Beampropagation method: analysis and assessment," J. Opt. Soc. Am. 71, 803-810 (1981).   DOI
11 Y. Choi, T. D. Yang, C. Fang-Yen, P. Kang, K. J. Lee, R. R. Dasari, M. S. Feld, and W. Choi, "Overcoming the diffraction limit using multiple light scattering in a highly disordered medium," Phys. Rev. Lett. 107, 023902 (2011).   DOI
12 J. Chung, G. W. Martinez, K. C. Lencioni, S. R. Sadda, and C. Yang, "Computational aberration compensation by coded-aperture-based correction of aberration obtained from optical Fourier coding and blur estimation," Optica 6, 647-661 (2019).   DOI
13 H. Kim, J. Park, and B. Lee, Fourier Modal Method and Its Applications in Computational Nanophotonics (CRC Press, NY, USA. 2012).
14 C. Jang, K. Bang, S. Moon, J. Kim, S. Lee, and B. Lee, "Retinal 3D: augmented reality near-eye display via pupil-tracked light field projection on retina," ACM Trans. Graph. 36, 190 (2017).
15 H. Kogelnik, "Coupled wave theory for thick hologram gratings," Bell Syst. Tech. J. 48, 2909-2947 (1969).   DOI
16 M. G. Moharam and T. K. Gaylord, "Rigorous coupled-wave analysis of planar-grating diffraction," J. Opt. Soc. Am. 71, 811-818 (1981).   DOI
17 P. S. Carney, J. C. Schotland, and E. Wolf, "Generalized optical theorem for reflection, transmission, and extinction of power for scalar fields," Phys. Rev. E 70, 036611 (2004).   DOI