Wavelets for Elliptical Waveguide Problems
نویسندگان
چکیده
New elliptic cylindrical wavelets are introduced, which exploit the relationship between analysing filters and Floquet’s solution of Mathieu differential equations. It is shown that the transfer function of both multiresolution filters is related to the solution of a Mathieu equation of odd characteristic exponent. The number of notches of these analysing filters can be easily designed. Wavelets derived by this method have potential application in the fields of optics, microwaves and electromagnetism. Key-Words: Wavelets, Elliptic cylinder, Waveguide, Mathieu wavelets
منابع مشابه
CPW-Fed Circularly Polarized Slot ANTENNA with Elliptical-Shaped Patch for UWB Applications
A new design of coplanar waveguide (CPW)-fed antenna with circular polarization (CP) and excellent impedance matching is presented. In this design a pair of circular-shaped slits is applied to opposite corners of the slot for enhancing the impedance matching and realizes bandwidth of 134.43% across 2.98-15.20 GHz for VSWR≤2. Furthermore this structure exhibits axial ration bandwidth (ARBW) of 3...
متن کاملPhysics of elliptical reflectors at large reflection and divergence angles II: Analysis of optical beam distortions in integrated ultra-large-angle elliptical curved reflectors
In this work, we study the behavior of elliptical reflectors in nanophotonic integrated circuits in the context of two-dimensional multimode Gaussian beam. We show that the transformation of the beam profile at the input/output waveguide mouths, and the transformation of the beam profile at the reflector can be described in terms of 2D Hermite-Gaussian (HG) beam modes under first order approxim...
متن کاملStudies on the Propagation Characteristics. of Polarization Maintaining Optical Waveguides
Birefringent optical waveguides find use in a large number of applications such as coherent optical communication systems, interferometric fiber optic sensors, and polarization sensitive integrated optical devices. These waveguides include various polarization-maintaining optical fibers such as elliptical core fibers, bow tie fibers, and side tunnel fibers and integrated optical waveguides such...
متن کاملOutput signal prediction of an open-ended waveguide probe when scanning elliptical-shape cracks in metals
We present a modeling technique for the interaction of an elliptical-shape crack in a metal with an open-ended waveguide. The crack is first modeled by an appropriate number of short rectangular waveguides. The mode-matching technique is then used to calculate the scattering matrix of the new segmented waveguide structure. The probe reflection coefficient of the dominant mode is finally calcula...
متن کاملPhysics of elliptical reflectors at large reflection and divergence angles I: Their design for nano-photonic integrated circuits and application to low-loss low-crosstalk waveguide crossing
In this work, we study the formulation of beam propagation in an elliptical reflector in nanophotonic integrated circuits (NPICs). We introduce a Gaussian beam mode analysis with Effective Refractive Index Approximation (EIA) applied to planar waveguides. The wavelength-scale waveguides in NPICs lead to large diffraction angle of the input beam and phase aberration in the reflected beam. Howeve...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- CoRR
دوره abs/1504.05262 شماره
صفحات -
تاریخ انتشار 2002