The transmission of a one-dimensional left-handed photonic crystal consisting of alternating slabs of two materials with
positive and negative refractive index respectively is investigated with the help of transfer matrix method (TTM). The
properties of defect modes of the left-handed photonic crystal were disclosed. Both the number and the location of defect modes strongly depend on the property and composition of defects. The defect modes resulted from negative
defect often appears in the zero average refractive index (ZARI) gap, while those resulted from positive defect usually
appears in the Bragg gap. The defect modes, no matter in the Bragg gap or in the ZARI gap, exhibit degeneracy and
split as the distance between the two defects decreases. Due to the coupling of the two defects, the split of defect mode
does not appear when two different kinds of defect are introduced.
We study the transmission of a one-dimensional ternary left-handed photonic crystal which is consisting of three alternating slabs in the form of {ABC}, where A and C represent two kinds of positive- refractive-index materials, and B represents the negative-refractive-index material. Firstly, we obtain the dispersion equation based on the boundary conditions and Bloch theorem. By construing the obtained dispersion relation theoretically we demonstrated that a zero averaged refractive index (ZARI) gap which is around the frequency where the average refractive index vanishes appears. Secondly, we investigate the dependence of the transmission on the thickness of slabs by changing the thickness of slab A, B and C respectively. We find that the transmission of such a structure can be made tunable. This novel property may be very useful in designing tunable filters because the position of band gaps in such a structure can be chosen expediently. Furthermore, we study the property of defect mode of such a structure, and find that the defect mode doesn't always appear simultaneously in both Bragg and ZARI gaps of the transmission spectrum. It can be selected to appear either in the Bragg gap or in the ZARI gap.
We study the phenomena of self-focusing and self-defocusing of an optical beam in a nonlinear negative-refractive-index material (NRM). It is shown that an optical beam propagating in NRM experiences self-focusing and self-defocusing for negative and positive nonlinear refractive index respectively. The critical power for self-focusing is the same as that in a conventional nonlinear positive-refractive-index material. Further, we show by numerical simulations that the nonlinear NRM can be used to compensate for self-focusing in the propagation of high power lasers in conventional nonlinear positive-refractive-index medium. The modulation generated by self-focusing in nonlinear positive-refractive-index medium can be reduced drastically by inserting a piece of nonlinear NRM.
We report on a theoretical analysis of propagation of monochromatic and broadband high-power laser beam through spatial filter. The law of formation of low-frequency modulation rings due to diffraction is obtained. It is found that the filling factor or the intensity modulation contrast of the laser beam is sensitive to times of diffraction limit of the filter’s pinhole. The uniformity of beam can be significantly improved by adjusting times of diffraction limit. For the same filter parameters, the broadband beam has a more uniform diffraction profile than the monochromatic beam, suggesting that the laser beam with a proper amount of bandwidth can suppress the harmful effect of diffraction to some extent.
We report on a theoretical analysis of a channel dielectric waveguide consisting of periodically interlaced negative refractive index medium and positive index medium. The dispersion relation for TM modes is obtained. The properties of guided wave modes have been numerically disclosed. It is shown that the waveguide can exhibit negative group velocity dispersion as well as extraordinarily large group velocity dispersion. The Poynting vector within the waveguide can change both sign and magnitude. The distribution of energy flux density of different sections relates to the frequency and the width of the channel waveguide.
Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks.
You are receiving this notice because your organization may not have SPIE eBooks access.*
*Shibboleth/Open Athens users─please
sign in
to access your institution's subscriptions.
To obtain this item, you may purchase the complete book in print or electronic format on
SPIE.org.
INSTITUTIONAL Select your institution to access the SPIE Digital Library.
PERSONAL Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.