In this paper, by using the transfer matrix theory and the dispersion relation principle, via math tool processing numerical
value simulation get the energy band, the limited field and the dispersion characteristic of one-dimensional photonic
crystals with negative-index materials, we find there are two photonic band gap, the lower forbidden band which is
called zero-n gap remains nearly invariant under a various incident angle, while the higher one which is called Bragg
gap changes ceaselessly with the increasing incident angle. Through introducing the defect we found that the defect
mode inside the zero-n gap remains invariant with the scaling of non-defect part. Conversely, the defect mode inside the
Bragg gap shifts greatly in frequency with scaling. The studying of the dispersion relation shows that the width of the
zero-n gap enlarges, but the middle of each gap hardly changes, on the contrary the middle of a Bragg gap will shift
noticeably while the width of the gap will change a little when the ratio of the thicknesses of the two types of layers
varies and that the zero-n gap that distinguishes itself from a Bragg gap in that it is invariant with scaling. The emphasis
of this paper lies in analyzing the characteristic of this type of photonic crystals.
zero-n gap enlarges, but the middle of each gap hardly changes, on the contrary the middle of a Bragg gap will shift
noticeably while the width of the gap will change a little when the ratio of the thicknesses of the two types of layers
varies and that the zero-n gap that distinguishes itself from a Bragg gap in that it is invariant with scaling. The emphasis
of this paper lies in analyzing the characteristic of this type of photonic crystals.
Considering current Micro-optics technology and using Fresnel diffraction principle and scalar diffraction theory, we
design a phase-type focusing grating. It has the function of dispersion and focusing spectrum line. It is the result of
integrating phase Fresnel zone plate and the scalar phase grating on the two parallel surface of a piece of fused silica
substrate. This design can be used to predigest the light path of the monochromator, making it miniaturization and even
micromation. The grating has higher diffraction efficiency. It can also overcome the low diffraction efficiency of
conventional grating for the existing of multilevel diffraction. Choosing parameter is the key of designing phase-type
focusing grating. Some key parameters are selected on the base of intensively analyzing diffraction optics theory, then
the correlation parameters are worked out, and three pieces of binary optic mask zone radii are computed by using
MATLAB.
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