서지주요정보
유전체 쐐기 모서리 부근의 산란 전자파 계산 = Dynamic field behavior near the edge of the dielectric wedge for plane electromagnetic waves incidence
서명 / 저자 유전체 쐐기 모서리 부근의 산란 전자파 계산 = Dynamic field behavior near the edge of the dielectric wedge for plane electromagnetic waves incidence / 전재영.
저자명 전재영 ; Jeon, Jae-Young
발행사항 [대전 : 한국과학기술원, 2000].
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8010608

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학술문화관(문화관) 보존서고

DEE 00003

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초록정보

Analytic solution for the static fields in presence of the dielectric wedge is available. Analytic solution for dynamic fields scattered by the dielectric wedge is, however, unknown to date because it is non-separable due to two different wave numbers inside and outside of the wedge, respectively. By expanding the fields in a power series of ρ, where ρ is the distance between the field point and the edge of the wedge, Meixner showed that the edge condition gives the leading terms in the limit of ρ goes to zero approaching static field behavior. This series is shown to diverge, however, when the wedge angle is a rational multiple of π. The series may be modified to be free of diverging coefficients but numerical calculations employing hypersingular integral equations could not show that the dynamic fields near the edge of dielectric wedge approaches the singular behavior of the static fields at the edge. Analytic solutions for the diaphanous (isorefractive) wedge shows that the dynamic solution agrees with the static solution at the edge. Preliminary analytic approaches for the isorefractive wedge shows that there may be two limiting values of fields at the edge, one static and the other one dynamic. It is still an open question for the scattered fields near the edge of the dielectric wedge. Two extinction integrals in the mathematically complementary region of the free space and the dielectric wedge, respectively, gives the correction fields to the physical optics approximation in its far fields. This half analytic and half numerical method is used for the calculation of the fields scattered by the dielectric wedge of arbitrary wedge angles and permittivities in the case of plane wave incidence. It is shown that the dynamic fields approach to the corresponding static solutions both for their angular as well as distance dependence if the distance between the field point and the edge tip is smaller than $10^{-2}$ times the free space wavelength either for the singular or the non-singular edge fields. Calculated results also show that the dynamic fields go through a smooth transition to the far scattered fields for the distance larger than $10^{-1}$ times the wavelength, where the ratio of the transverse electric and magnetic field becomes almost a constant. For the better converging series in the far field, a modified Neumann series satisfying the static limit edge condition and the radiation condition and having two different wave numbers of air and dielectric for its arguments is used for the surface currents correcting the edge diffraction of the physical optics solution. This representation gives accurate solution over the whole region including the grazing incidence of the plane waves upon the dielectric wedge of large permittivities, where the accuracies of the solution may be checked from the numerical smallness of the solutions that should be zero in the complementary regions.

서지기타정보

서지기타정보
청구기호 {DEE 00003
형태사항 v, 106 p. : 삽도 ; 26 cm
언어 한국어
일반주기 부록 : A, 공간영역에서의 green함수를 이용한 경계면상 수정등가전류 계산. - B, 유전체 반공간 경계면상의 선전류에 의한 경계면상 전계 계산. - C, 유전체 쐐기 모서리 근방의 정전계 및 정자계 계산
저자명의 영문표기 : Jae-Young Jeon
지도교수의 한글표기 : 나정웅
지도교수의 영문표기 : Jung-Woong Ra
학위논문 학위논문(박사) - 한국과학기술원 : 전기및전자공학전공,
서지주기 참고문헌 : p. 83-88
주제 근역장
유전체 쐐기
정전기 극한
모서리 조건
Extinction 정리를 이용한 물리광학해 수정
Neumann 급수
Near fields
Dielectric wedge
Static limit
Edge condition
Correction of PO by extinction theorem
Neumann series
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