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Daya Jiang

Bio: Daya Jiang is an academic researcher from University of Bergen. The author has contributed to research in topics: Uniaxial crystal & Electromagnetic radiation. The author has an hindex of 6, co-authored 8 publications receiving 176 citations. Previous affiliations of Daya Jiang include Peking University & Beijing University of Posts and Telecommunications.

Papers
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Journal ArticleDOI
TL;DR: In this paper, the authors derived integral representations suitable for studying the focusing of electromagnetic waves through a plane interface into a uniaxial crystal and derived explicit expressions for the dyadic Green's functions associated with the transmitted fields.

48 citations

Journal ArticleDOI
TL;DR: In this paper, exact integral representations were presented for focusing of 2D transverse magnetic (TM) waves through a plane interface into a uniaxial crystal, implying that we have a 2D vectorial problem with no coupling between transverse electric (TE) plane waves and TM plane waves upon reflection and refraction at the interface of the crystal.

36 citations

Journal ArticleDOI
TL;DR: Experimental results for focusing of a three-dimensional electromagnetic wave through a plane interface into two different uniaxial crystals, a positive MgF2 crystal and a negative LiNbO3 crystal are presented.

35 citations

Journal ArticleDOI
TL;DR: In this paper, the authors compare theoretical and experimental results for focusing two-dimensional electromagnetic waves through a plane interface and find that good agreement is found when account is taken of possible aberrations.
Abstract: We compare theoretical and experimental results for focusing of two-dimensional electromagnetic waves through a plane interface. In general, good agreement is found when account is taken of possible aberrations. However, when the relative refractive index between the two media becomes large, discrepancies are observed due to reflections from the back surface of the second medium.

20 citations

Journal ArticleDOI
TL;DR: In this article, the focusing of two-dimensional (2D) electromagnetic waves through a plane interface was studied and the exact solution for the transmitted field due to an arbitrary 3D incident wave was derived in the Kirchhoff approximation.
Abstract: We study the focusing of two-dimensional (2D) electromagnetic waves through a plane interface. Starting from the exact solution for the transmitted field due to an arbitrary three-dimensional (3D) incident wave, we derive solutions for focused 3D waves in the Kirchhoff approximation. Then we construct corresponding solutions for focused 2D electromagnetic waves and study in detail the focusing properties of a TM field numerically and analytically.

19 citations


Cited by
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Journal ArticleDOI
TL;DR: In this paper, boundary integral analysis is applied to the analysis of diffraction from both conductive and dielectric diffractive optical elements, and the boundary element method is used to solve the boundary integral equations and validate its implementation by comparing with analytical solutions.
Abstract: We apply boundary integrals to the analysis of diffraction from both conductive and dielectric diffractive optical elements. Boundary integral analysis uses the integral form of the wave equation to describe the induced surface distributions over the boundary of a diffractive element. The surface distributions are used to determine the diffracted fields anywhere in space. In contrast to other vector analysis techniques, boundary integral methods are not restricted to the analysis of infinitely periodic structures but extend to finite aperiodic structures as well. We apply the boundary element method to solve the boundary integral equations and validate its implementation by comparing with analytical solutions our results for the diffractive analysis of a circular conducting cylinder and a dielectric cylinder. We also present the diffractive analysis of a conducting plate, a conducting linear grating, an eight-level off-axis conducting lens, an eight-level on-axis dielectric lens, and a binary dielectric lens that has subwavelength features.

154 citations

Journal ArticleDOI
TL;DR: The paraxial propagation along the optical axis of a uniaxially anisotropic crystal of a general paraxIAL beam whose boundary Cartesian components possess cylindrical symmetry is investigated to obtain expressions whose dependence on the azimuth angle phi is fully described and very simple.
Abstract: We investigate the paraxial propagation along the optical axis of a uniaxially anisotropic crystal of a general paraxial beam whose boundary Cartesian components possess cylindrical symmetry. This property allows us to obtain expressions whose dependence on the azimuth angle ϕ (in cylindrical coordinates) is fully described and very simple. We also find that the beam loses its boundary cylindrical symmetry during propagation, as a consequence of medium anisotropy. Further, these expressions elucidate the way in which the anisotropy changes the state of polarization. As an example, we discuss the case of a Gaussian beam focused into the crystal by a thin spherical lens.

85 citations

Journal ArticleDOI
TL;DR: The Richards-Wolf theory for focusing is employed to compute the full 3 x 3 electric coherence matrix, from which the degree of polarization is obtained by using a recent definition for general three-dimensional electromagnetic waves.
Abstract: We analyze the degree of polarization of random, statistically stationary electromagnetic fields in the focal region of a high-numerical-aperture imaging system. The Richards-Wolf theory for focusing is employed to compute the full 3 x 3 electric coherence matrix, from which the degree of polarization is obtained by using a recent definition for general three-dimensional electromagnetic waves. Significant changes in the state of partial polarization, compared with that of the incident illumination, are observed. For example, a wave consisting of two orthogonal and uncorrelated incident-electric-field components produces rings of full polarization in the focal plane. These effects are explained by considering the distribution of the spectral densities of the three electric field components as well as the correlations between them.

68 citations

Journal ArticleDOI
TL;DR: In this paper, the authors derived integral representations suitable for studying the focusing of electromagnetic waves through a plane interface into a uniaxial crystal and derived explicit expressions for the dyadic Green's functions associated with the transmitted fields.

48 citations

Journal ArticleDOI
Sjoerd Stallinga1
TL;DR: The effects of birefringence on the light distribution in the focal region of a high-NA optical system are investigated with use of the Debye approach to vector diffraction theory.
Abstract: The effects of birefringence on the light distribution in the focal region of a high-NA optical system are investigated with use of the Debye approach to vector diffraction theory. The attention is limited to uniaxially birefringent media with symmetry axis along the optical axis of the imaging system. The radially (p) and tangentially (s) polarized fields in the exit pupil produce spots in the focal region that are defocused with respect to each other. For small birefringence values the relative defocus causes a distortion and broadening of the spot; for larger values the two spots separate completely. As a corollary to the theory it is shown that there is a tangential tornadolike flow of energy in the focal region when the polarization in the entrance pupil is elliptical.

45 citations