• Proceedings of the Optical Society of Korea Conference
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• 2002.11a
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• pp.48-49
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• 2002

• Proceedings of the KIEE Conference
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• 2001.07c
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• pp.1850-1851
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• 2001

광전자실험에 사용되고있는 수동 광학소자로는 lense, mirror, grating, prism, polarizer 등 이 있다. 본 연구에서는 각 소자들에 대한 수학적 모델과 실질적 구조에 의한 수치 해석적 모델인 Split-step을 angular spectrum 방법을 구현하고 이를 이용한 실험적 결과를 이론치와 비교 분석하여 모델의 정확성을 분석하였다.

• Proceedings of the Acoustical Society of Korea Conference
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• 1996.10a
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• pp.8-13
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• 1996

균질 매질내에 형성되는 근거리 음장의 해석에는 종래 회절 이론에서의 Rayleigh 적분식에 근거한 Lommel 근사식이 주로 이용되어져 왔다. 그러나, 불균질한 매질에서는 그 방법의 적용이 어렵고, 유한요소법등 새로운 방법이 적용되어야 한다. 본 연구에서는 불균질 매질에서의 음장을 해석하는 한 방법으로 Angular Spectrum법을 제안하고, 경계를 가상한 등수온의 물에 대하여 Lommel 근사식에 의해 직접 산출한 음장과 Angular Spectrum법을 적용하여 산출한 음장을 서로 비교함으로써 그 유효성을 검토하였다.

• The Journal of the Acoustical Society of Korea
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• v.16 no.5
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• pp.105-111
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• 1997

Before application of the angular spectrum method to calculate acoustic fields in stratified water, its efficiencies and errors were analyzed by using a virtual boundary in homogeneous water. As the results, it was confirmed that the angular spectrum method was able to calculate an acoustic field rapidly though some errors due to the limitation of reference field size and number of data in FFT ware included. A modified method combined the angular spectrum with Lommel's approximation, which was newly proposed in this paper, was useful to reduce the errors.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.21 no.7
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• pp.1668-1676
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• 1996

This paper presents the evaluation of an angular spectrum-based method used to calculate scattering pattern of a three-dimensional object modelled as a collection composed of vertical sectional two-dimensional images. This is done via comparing a proposed method with two existing methods, i.e., a Fresnel hologram method and a ray-tracing method, in terms of computatioal complexities and reconstructed results. Maathematical derivations for each methods are reviewed and implementing procedures are described in detail, along with the amount of computaions required from the implementation point of view, rather than from the mathematical point of view. We show simulation results in which the Fresnel holoram method dose not exhibit promising results although it requires the least computation. Moreover, it is also shown that the proposed method, even with much less computational requirement than the ray-tracing method, produces good performances asmuch as the ray-tracing method does.

• Journal of the Institute of Electronics Engineers of Korea SD
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• v.38 no.9
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• pp.634-642
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• 2001

We calculate the facet reflectivity of buried channel waveguides and ridge waveguides as a function of the waveguide width for various thicknesses using the angular spectrum method and the two dimensional field profiles obtained by the variational method (VM) and the effective index method (EIM). The variation of the reflectivity of buried channel waveguides as a function of the waveguide width is large, while that of ridge waveguides is very small. The accuracy of the field profiles necessary for the calculation of the facet reflectivity using the angular spectrum method greatly affects that of the facet reflectivity. The difference between the exact reflectivity and that using EIM increases as the waveguide width and thickness decreases due to the inaccuracy of the field profiles obtained by EIM. However, the difference between the exact reflectivity and that using VM is smaller than that using EIM regardless of waveguide width and thickness. The difference between the facet reflectivities u sing EIM and VM is small in the area where the EIM works very well.

• Journal of the Korean Institute of Telematics and Electronics D
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• v.34D no.5
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• pp.67-74
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• 1997

In this paper, we psresent a new scheme to synthetically generate a HPO digital hologram for a three-dimensional image that is modelled as the horizontally stacked two-dimensional images. The proposed method transforms a lightwave field into the angular spectrum of planewaves, which enables this method to use FFT routines, rather than using numerous arithmetic calculations. Hence, this method may be able to not only lead to the dramatically less computation but provide relatively excellent performances due to the phase error-free transformation. We present sampling constraints and implementaton procedure to obtian a hololine for each image and also point out the necessity of interpolation. Simulatioj results are presented to show the comparison with the conventional method in terms of computation time and performances, including the behaviors resulting form the different selection of parameter values to be used in the interpolations.

• ETRI Journal
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• v.44 no.1
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• pp.85-93
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• 2022

We propose an efficient method for synthesizing mesh-based realistic computer-generated hologram (CGH). In a previous nonanalytic mesh-based CGH synthesis, the angular spectrum of the two-dimensional (2D) plane is calculated using the fast Fourier transform (FFT) with the same size as the resolution of the final hologram. Because FFT increases the computation time as the size of the input matrix increases, the previous method has a problem: The higher the resolution of the hologram, the greater the computational load, thereby delaying synthesis time. In this study, when calculating the angular spectrum of the 2D plane in mesh-based CGH synthesis, we propose a method to calculate the angular spectrum by defining the 2D plane with an arbitrary size smaller than the resolution of the final hologram. The resolution adjustment method reduces the computation time and can be applied to occlusion culling and texturing for the realistic effect of mesh-based CGH. We describe the principle, error analysis, application of realistic effect, and experimental results of the proposed method.

• Korean Journal of Optics and Photonics
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• v.13 no.1
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• pp.51-57
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• 2002

We have calculated the optimum refractive index and normalized thickness of a single layer antireflection coating on the facet of buried channel waveguides as a function of waveguide width for several waveguide depths using the angular spectrum method and field profiles obtained by the effective index method (EIM) and the variational method (VM), respectively, and discussed the results. In the area of large waveguide width, the optimum parameters of a single layer antireflection coating obtained by both methods are almost the same. However, as waveguide width decreases, the parameters obtained by the VM approach those of a single layer antireflection coating between cladding layer and air, while those obtained by the EIM do not approach those, and the difference between the two parameters is large. The tolerance maps of the quasi-TE and quasi-TM modes obtained by the VM for square waveguides are located in almost the same area regardless of refractive index contrast, while those obtained by the free space radiation mode (FSRM) method for refractive index contrast of 10% are located in the different area. Thus, we think that the tolerance maps obtained by the VM are more exact than those obtained by the FSRM method.

• Journal of the Institute of Electronics Engineers of Korea SD
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• v.37 no.11
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• pp.36-42
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• 2000

We calculate the facet reflectivity as a function of the waveguide width of buried channel waveguides using the angular spectrum method and the field profiles obtained by the effective index method, the variational method and the modified variational method, respectively and discuss the results. As the waveguide width increases, the facet reflectivity of buried channel waveguides approaches to that of slab waveguides. As the waveguide width decreases, the facet reflectivity of quasi-TE mode decreases from that of slab waveguides, while that of quasi-TE mode increases from that of slab waveguides. The variation of the facet reflectivity of quasi-TE mode as a function of waveguide width is much larger than that of quasi-TM mode. When the aspect ratio is one, the difference between the facet reflectivity of quasi-TE mode and that of quasi-TM mode using the variational method and the modified variational method is negligible, while the difference between the facet reflectivity of quasi-TE mode and that of quasi-TM mode using the effective index method is large. In the case of quasi-TE mode, the facet reflectivity using the angular spectrum method and the field profiles obtained by the modified variational method could be more accurate than that obtained by the effective method. In the case of quasi-TM mode, the facet reflectivities obtained by the various methods are almost the same.