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% --------------------------------------------------------------------------% Electromagnetic Waves & Antennas Toolbox% --------------------------------------------------------------------------% Copyright (c) 1997-2004 by S. J. Orfanidis% --------------------------------------------------------------------------% Sophocles J. Orfanidis% ECE Department% Rutgers University% 94 Brett Road% Piscataway, NJ 08854-8058%% Tel.: 732-445-5017% e-mail: orfanidi@ece.rutgers.edu% --------------------------------------------------------------------------% The usage of these functions is explained in examples throughout the % author's book on "Electromagnetic Waves and Antennas".%% The functions may be downloaded from the book's web page:% http://www.ece.rutgers.edu/~orfanidi/ewa%% Before using the toolbox, please read the license agreement % by running the function ewa_license, or reading the web page % www.ece.rutgers.edu/~orfanidi/ewa/license.txt% --------------------------------------------------------------------------% Last revision date: February 4, 2004% --------------------------------------------------------------------------% % The functions have been developed and tested with MATLAB v5.3%% Multilayer Dielectric Structures% --------------------------------% brewster - calculates Brewster and critical angles% fresnel - Fresnel reflection coefficients for isotropic or birefringent media% n2r - refractive indices to reflection coefficients of M-layer structure% r2n - reflection coefficients to refractive indices of M-layer structure% multidiel - reflection response of isotropic or birefringent multilayer structures% multidiel1 - simplified version of multidiel for isotropic layers% multidiel2 - reflection response of lossy isotropic multilayer dielectric structures% omniband - bandwidth of omnidirectional mirrors and Brewster polarizers % omniband2 - bandwidth of birefringent multilayer mirrors% snell - calculates refraction angles from Snell's law for birefringent media%% Quarter-Wavelength Transformers% -------------------------------% bkwrec - order-decreasing backward layer recursion - from a,b to r% frwrec - order-increasing forward layer recursion - from r to A,B% chebtr - Chebyshev design of broadband reflectionless quarter-wave transformer% chebtr2 - Chebyshev design of broadband reflectionless quarter-wave transformer% chebtr3 - Chebyshev design of broadband reflectionless quarter-wave transformer%% Dielectric Waveguides% ---------------------% dguide - TE modes in dielectric slab waveguide% dslab - solves for the TE-mode cutoff wavenumbers in a dielectric slab %% Transmission Lines% ------------------% g2z - reflection coefficient to impedance transformation% z2g - impedance to reflection coefficient transformation% lmin - find locations of voltage minima and maxima% mstripa - microstrip analysis (calculates Z,eff from w/h) % mstripr - microstrip synthesis with refinement (calculates w/h from Z)% mstrips - microstrip synthesis (calculates w/h from Z)% multiline - reflection response of multi-segment transmission line% swr - standing wave ratio% tsection - T-section equivalent of a length-l transmission line segment% gprop - reflection coefficient propagation% vprop - voltage and current propagation% zprop - wave impedance propagation%% Impedance Matching% ------------------% qwt1 - quarter wavelength transformer with series segment% qwt2 - quarter wavelength transformer with 1/8-wavelength shunt stub% qwt3 - quarter wavelength transformer with shunt stub of adjustable length% dualband - two-section dual-band Chebyshev transformer% dualbw - bandwidth of dual-band transformer% stub1 - single-stub matching% stub2 - double-stub matching% stub3 - triple-stub matching% onesect - one-section impedance transformer% twosect - two-section impedance transformer% pi2t - Pi to T transformation% t2pi - T to Pi transformation% lmatch - L-section reactive conjugate matching network% pmatch - Pi-section reactive conjugate matching network%% S-Parameters% ------------% gin - input reflection coefficient in terms of S-parameters% gout - output reflection coefficient in terms of S-parameters% nfcirc - constant noise figure circle% nfig - noise figure of two-port% sgain - transducer, available, and operating power gains of two-port% sgcirc - stability and gain circles% smat - S-parameters to S-matrix% smatch - simultaneous conjugate match of a two-port% smith - draw basic Smith chart% smithcir - add stability and constant gain circles on Smith chart% sparam - stability parameters of two-port% circint - circle intersection on Gamma-plane% circtan - point of tangency between the two circles%% Linear Antenna Functions% ------------------------% dipole - gain of center-fed linear dipole of length L% travel - gain of traveling-wave antenna of length L% vee - gain of traveling-wave vee antenna% rhombic - gain of traveling-wave rhombic antenna% dmax - computes directivity and beam solid angle of g(th) gain% hallen - solve Hallen's integral equation with delta-gap input% hallen2 - solve Hallen's integral equation with arbitrary incident E-field% hallen3 - solve Hallen's integral equation for 2D array of identical linear antennas% hallen4 - solve Hallen's integral equation for 2D array of non-identical linear antennas% pockling - solve Pocklington's integral equation for linear antenna% king - King's 3-term sinusoidal approximation% kingeval - evaluate King's 3-term sinusoidal current approximation% kingfit - fits a sampled current to King's 2-term sinusoidal approximation% gain2 - normalized gain of arbitrary 2D array of linear sinusoidal antennas% gain2h - gain of 2D array of non-identical linear antennas with Hallen currents% imped - mutual impedance between two parallel standing-wave dipoles% impedmat - mutual impedance matrix of array of parallel dipole antennas% yagi - simplified Yagi-Uda array design%% Aperture Antenna Functions% --------------------------% diffint - generalized Fresnel diffraction integral% diffr - knife-edge diffraction coefficient% dsinc - the double-sinc function cos(pi*x)/(1-4*x^2)% fcs - Fresnel integrals C(x) and S(x)% fcs2 - type-2 Fresnel integrals C2(x) and S2(x)%% hband - horn antenna 3-dB width % heff - aperture efficiency of horn antenna% hgain - horn antenna H-plane and E-plane gains% hopt - optimum horn antenna design% hsigma - optimum sigma parametes for horn antenna%% Antenna Array Functions% -----------------------% array - gain computation for 1D equally-spaced isotropic array% bwidth - beamwidth mapping from psi-space to phi-space% binomial - binomial array weights% dolph - Dolph-Chebyshev array weights% dolph2 - Riblet-Pritchard version of Dolph-Chebyshev% dolph3 - DuHamel version of endfire Dolph-Chebyshev% multibeam - multibeam array design% scan - scan array with given scanning phase% sector - sector beam array design% steer - steer array towards given angle% taylor - Taylor-Kaiser window array weights % uniform - uniform array weights% woodward - Woodward-Lawson-Butler beams%% chebarray - Bresler's Chebyshev array design method - written by P. Simon % I would like to thank Dr. Simon for premission to include % this function in this collection.%% Gain Plotting Functions% -----------------------% abp - polar gain plot in absolute units% abz - azimuthal gain plot in absolute units% ab2p - polar gain plot in absolute units - 2*pi angle range% abz2 - azimuthal gain plot in absolute units - 2pi angle range%% dbp - polar gain plot in dB% dbz - azimuthal gain plot in dB% dbp2 - polar gain plot in dB - 2*pi angle range% dbz2 - azimuthal gain plot in dB - 2pi angle range%% abadd - add gain in absolute units% abadd2 - add gain in absolute units - 2pi angle range% dbadd - add gain in dB% dbadd2 - add gain in dB - 2pi angle range% addbwp - add 3-dB angle beamwidth in polar plots% addbwz - add 3-dB angle beamwidth in azimuthal plots% addcirc - add grid circle in polar or azimuthal plots% addline - add grid ray line in azimuthal or polar plots% addray - add ray in azimuthal or polar plots%% Miscellaneous Utility Functions% --------------------------------% ab - dB to absolute power units% db - absolute power to dB units% c2p - complex number to phasor form% p2c - phasor form to complex number% d2r - degrees to radians% r2d - radians to degrees% dtft - DTFT of a signal x at a frequency vector w% I0 - modified Bessel function of 1st kind and 0th order% ellipse - polarization ellipse parameters% etac - eta and c% wavenum - calculate wavenumber and characteristic impedance% poly2 - specialized version of poly with increased accuracy% quadr - Gauss-Legendre quadrature weights and evaluation points% quadrs - Gauss-Legendre quadrature weights and evaluation points on subintervals% flip - flip a column, a row, or both% blockmat - manipulate block matrices% upulse - generates trapezoidal, rectangular, triangular pulses, or a unit-step% ustep - unit-step or rising unit-step function%% MATLAB Movies (in subdirectory ewa/movies)% ------------------------------------------% pulsemovie - step and pulse propagation on terminated transmission lines% pulse2movie - step propagation on two cascaded lines% RLCmovie - step getting reflected off a reactive termination% TDRmovie - fault location by time-domain reflectometry% xtalkmovie - crosstalk signals on coupled transmission lines% dipmovie - electric field pattern of radiating Hertzian dipole%% --------------------------------------------------------------------------
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