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In this paper, we apply the discrete wavelet transform (DWT) and the discrete wavelet packet transform (DWPT) with the Daubechies wavelet of order 16 to effectively solve for the electromagnetic scattering from a one-dimensional inhomogeneous slab. Methods based on the excitation vector and the [* Z*] matrix are utilized to sparsify an MoM matrix. As we observed, there are no much high frequency components of the field in the dielectric region, hence the wavelet coefficients of the small scales components (high frequency components) are very small and negligible. This is different from the case of two-dimensional scattering from perfect conducting objects. In the excitation-vector-based method, a modified excitation vector is introduced to extract dominant terms and achieve a better compression ratio of the matrix. However, a smaller compression ratio and a tiny relative error are not obtained simultaneously owing to their deletion of interaction between different scales. Hence, it is inferior to the [

- Publication
- IEICE TRANSACTIONS on Communications Vol.E82-B No.10 pp.1667-1676

- Publication Date
- 1999/10/25

- Publicized

- Online ISSN

- DOI

- Type of Manuscript
- PAPER

- Category
- Electronic and Radio Applications

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Jeng-Long LEOU, Jiunn-Ming HUANG, Shyh-Kang JENG, Hsueh-Jyh LI, "Application of Wavelets to Scattering Problems of Inhomogeneous Dielectric Slabs" in IEICE TRANSACTIONS on Communications,
vol. E82-B, no. 10, pp. 1667-1676, October 1999, doi: .

Abstract: In this paper, we apply the discrete wavelet transform (DWT) and the discrete wavelet packet transform (DWPT) with the Daubechies wavelet of order 16 to effectively solve for the electromagnetic scattering from a one-dimensional inhomogeneous slab. Methods based on the excitation vector and the [* Z*] matrix are utilized to sparsify an MoM matrix. As we observed, there are no much high frequency components of the field in the dielectric region, hence the wavelet coefficients of the small scales components (high frequency components) are very small and negligible. This is different from the case of two-dimensional scattering from perfect conducting objects. In the excitation-vector-based method, a modified excitation vector is introduced to extract dominant terms and achieve a better compression ratio of the matrix. However, a smaller compression ratio and a tiny relative error are not obtained simultaneously owing to their deletion of interaction between different scales. Hence, it is inferior to the [

URL: https://global.ieice.org/en_transactions/communications/10.1587/e82-b_10_1667/_p

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@ARTICLE{e82-b_10_1667,

author={Jeng-Long LEOU, Jiunn-Ming HUANG, Shyh-Kang JENG, Hsueh-Jyh LI, },

journal={IEICE TRANSACTIONS on Communications},

title={Application of Wavelets to Scattering Problems of Inhomogeneous Dielectric Slabs},

year={1999},

volume={E82-B},

number={10},

pages={1667-1676},

abstract={In this paper, we apply the discrete wavelet transform (DWT) and the discrete wavelet packet transform (DWPT) with the Daubechies wavelet of order 16 to effectively solve for the electromagnetic scattering from a one-dimensional inhomogeneous slab. Methods based on the excitation vector and the [* Z*] matrix are utilized to sparsify an MoM matrix. As we observed, there are no much high frequency components of the field in the dielectric region, hence the wavelet coefficients of the small scales components (high frequency components) are very small and negligible. This is different from the case of two-dimensional scattering from perfect conducting objects. In the excitation-vector-based method, a modified excitation vector is introduced to extract dominant terms and achieve a better compression ratio of the matrix. However, a smaller compression ratio and a tiny relative error are not obtained simultaneously owing to their deletion of interaction between different scales. Hence, it is inferior to the [

keywords={},

doi={},

ISSN={},

month={October},}

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TY - JOUR

TI - Application of Wavelets to Scattering Problems of Inhomogeneous Dielectric Slabs

T2 - IEICE TRANSACTIONS on Communications

SP - 1667

EP - 1676

AU - Jeng-Long LEOU

AU - Jiunn-Ming HUANG

AU - Shyh-Kang JENG

AU - Hsueh-Jyh LI

PY - 1999

DO -

JO - IEICE TRANSACTIONS on Communications

SN -

VL - E82-B

IS - 10

JA - IEICE TRANSACTIONS on Communications

Y1 - October 1999

AB - In this paper, we apply the discrete wavelet transform (DWT) and the discrete wavelet packet transform (DWPT) with the Daubechies wavelet of order 16 to effectively solve for the electromagnetic scattering from a one-dimensional inhomogeneous slab. Methods based on the excitation vector and the [* Z*] matrix are utilized to sparsify an MoM matrix. As we observed, there are no much high frequency components of the field in the dielectric region, hence the wavelet coefficients of the small scales components (high frequency components) are very small and negligible. This is different from the case of two-dimensional scattering from perfect conducting objects. In the excitation-vector-based method, a modified excitation vector is introduced to extract dominant terms and achieve a better compression ratio of the matrix. However, a smaller compression ratio and a tiny relative error are not obtained simultaneously owing to their deletion of interaction between different scales. Hence, it is inferior to the [

ER -