RF MODULE

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third and fourth band surface, and no waves in this frequency range can propagate in the crystal. Figure 4-9: Band surfaces for the five lowest bands for one quadrant in k-space. References 1. C. Kittel, Introduction to Solid State Physics, 7th ed., John Wiley & Sons, New York, 1996. 2. J. D. Joannopoulus, R. D. Meade, J. N. Winn, Photonic Crystals (Modeling the Flow of Light), Princeton university press, 1995. Model Library path: <strong>RF</strong>_Module/Optics_and_Photonics/ bandgap_photonic_crystal 244 | CHAPTER 4: OPTICS AND PHOTONICS MODELS
Modeling Using the Graphical User Interface MODEL NAVIGATOR 1 Select 2D from the Space dimension list. 2 In the list of application modes, select <strong>RF</strong> Module>In-Plane Waves>TE Waves>Eigenfrequency analysis. 3 Click OK. OPTIONS AND SETTINGS 1 From the Options menu, choose Constants. 2 In the Constants dialog box, define the following constants with names, expressions, and (optional) descriptions: NAME VALUE DESCRIPTION k 0 Fraction of wave vector magnitude k1 1 1st component of wave direction vector k2 1 2nd component of wave direction vector a1x 375[nm] x-component of 1st lattice vector a1y 0[nm] y-component of 1st lattice vector a2x 0[nm] x-component of 2nd lattice vector a2y 375[nm] y-component of 2nd lattice vector Scalar Expressions 1 From the Options menu, choose Expressions>Scalar Expressions. 2 In the Scalar Expressions dialog box, define the following variables with names, expressions, and (optional) descriptions: NAME EXPRESSION DESCRIPTION kx k*(k1*b1x+k2*b2x) 1st k-component for periodic condition ky k*(k1*b1y+k2*b2y) 2nd k-component for periodic condition b1x 2*pi*a2y/(a1x*a2y-a1y*a2x) x-component of 1st reciprocal lattice vector b1y -2*pi*a2x/(a1x*a2y-a1y*a2x) y-component of 1st reciprocal lattice vector b2x -2*pi*a1y/(a1x*a2y-a1y*a2x) x-component of 2nd reciprocal lattice vector BANDGAP ANALYSIS OF A PHOTONIC CRYSTAL | 245
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COMSOL Multiphysics RF MODULE V ERS
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CONTENTS Chapter 1: Introduction Mo
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Results and Discussion. . . . . . .
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Chapter 4: Optics and Photonics Mod
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1 Introduction The RF Module Model
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highlights. The categories here inc
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TABLE 1-1: RF MODULE MODEL LIBRARY
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2 Tutorial Models This chapter cont
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Results and Discussion Figure 2-1 s
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4 Draw a square with corners at (
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COMPUTING THE SOLUTION Click the So
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Results and Discussion The dipole a
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PHYSICS SETTINGS Variables 1 Choose
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5 Click OK to close the dialog box
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Model Library path: RF_Module/Tutor
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4 From the Solve menu, open the Sol
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them from the eigenvalues. The appl
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5 On the Port page, set the values
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5 On the Port page, enter 36.4 in t
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Waveguide Optimization Introduction
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Results and Discussion Figure 2-3 s
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Modeling Using the Graphical User I
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3 Select Boundary 7 and set the Con
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POSTPROCESSING AND VISUALIZATION Fo
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The solution takes a few minutes to
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Night side Earth surface Ionosphere
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Results and Discussion The model pr
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4 Select both spheres and click the
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RF and Microwave Models In this cha
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measure of the transmittance and re
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y 1 cm is at about 7.5 GHz. At the
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By feeding the circulator at a diff
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Importing the Geometry from a Binar
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MESH GENERATION This model uses the
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It is more instructive to look at t
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Note: When displaying S-Parameter v
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Monoconical RF Antenna Introduction
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50 Ω, to obtain maximum transmiss
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Figure 3-7 shows the antenna radiat
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2 Select the RF Module>Electromagne
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13 Zoom in around (0, 0) using the
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4 In the Contour levels area, click
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2 Clear the Keep current plot check
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6 Click the Solve button on the Mai
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Results and Discussion The figure b
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PHYSICS SETTINGS Point Settings Def
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2 In the x-axis area, select the Ex
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Because the impedance is inversely
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4 From the Space dimension list, se
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2 Select Boundaries 1, 2, 4, and 6.
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4 On the Pointwise Constraints page
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12 Click the Solve button on the Ma
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Module. The electromagnetic cavity
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EIGENFREQUENCY VS. TEMPERATURE By r
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GEOMETRY MODELING 1 Go to the Draw
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3 Set dx, dy, and dz to u, v, and w
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20 Select the Solve using solver se
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Computing the Solution Using a Para
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8 Click Solve. 9 When the parametri
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H-Bend Waveguide with S-parameters
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Model Library path: RF_Module/RF_an
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1 From the Postprocessing menu, cho
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The rectangular port is excited by
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Figure 3-16 shows a single-mode wav
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Figure 3-18: The S 21 parameter (in
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PHYSICS SETTINGS First set up the b
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FREEZING THE BOUNDARY MODE ANALYSIS
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Microwave Cancer Therapy Introducti
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The model takes advantage of the pr
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DOMAIN AND BOUNDARY EQUATIONS—HEA
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Figure 3-23: The computed microwave
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solutions for both the electromagne
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4 Select Subdomain 1, then enter th
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1 Click the Plot Parameters button
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sar_in_human_head_interp.txt. That
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The bioheat equation produces a sim
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3 Click OK. 4 From the Options menu
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17 In the Work-Plane Settings dialo
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SETTINGS SUBDOMAIN 19 epsilonr_brai
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4 Click the Init tab and type 0 in
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POSTPROCESSING AND VISUALIZATION 1
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The walls of the oven and the waveg
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Figure 3-29: Temperature in the cen
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3 Click the block symbol again and
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2 At the waveguide end, Boundary 23
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4 Click OK to generate the plot bel
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3 Click OK to generate the plot bel
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Because the filter cutoff should be
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the force is applied. Figure 3-32 d
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6 Then the ECAD Import Options dial
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PHYSICS SETTINGS Subdomain Settings
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solver takes more steps than it sto
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3 Select Subdomain 1 and clear the
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Balanced Patch Antenna for 6 GHz In
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k0 = ω ε0 µ 0 All metallic objec
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divided by the input power. In Figu
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Reference 1. E. Recht and S. Shiran
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10 Select the objects SQ2, CO1, and
Page 201 and 202: 43 Specify two spheres with the fol
Page 203 and 204: inputs are feeding the antenna, lik
Page 205 and 206: the width of the PML is equal to λ
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Page 209 and 210: 5 Select Coarse solver from the tre
Page 211 and 212: maxE = max(EdB); minE = min(EdB); E
Page 213 and 214: exterior of the PML that shows a ve
Page 215 and 216: 13 Choose Extrude from the Draw men
Page 217 and 218: 2 Click the Settings button. 3 In t
Page 219 and 220: Sea Bed Logging Introduction The Se
Page 221 and 222: Figure 3-39: Electric field magnitu
Page 223 and 224: PHYSICS SETTINGS Scalar Variables 1
Page 225 and 226: 4 Click OK to generate the plot bel
Page 227 and 228: 5 Click the General tab. From the P
Page 229 and 230: Optics and Photonics Models In this
Page 231 and 232: Model Definition The model is built
Page 233 and 234: Model Library path: RF_Module/Optic
Page 235 and 236: PHYSICS SETTINGS Scalar Variables S
Page 237 and 238: POSTPROCESSING AND VISUALIZATION By
Page 239 and 240: Model Definition The geometry is a
Page 241 and 242: 2 In the list of application modes,
Page 243 and 244: Because the refractive index of GaA
Page 245 and 246: 5 Click OK twice to see the followi
Page 247 and 248: Bandgap Analysis of a Photonic Crys
Page 249 and 250: a 2 a 3 × b1 = 2π----------------
Page 251: The five lowest bands for the (1, 1
Page 255 and 256: Subdomain Settings 1 Open the Subdo
Page 257 and 258: 3 Click the Parametric tab. Select
Page 259 and 260: 3 Click OK to see the following plo
Page 261 and 262: fem.appl{1}.prop.analysis = 'harmon
Page 263 and 264: Model Definition The mode analysis
Page 265 and 266: 2 Select the RF Module>Perpendicula
Page 267 and 268: 4 On the Contour page, give Magneti
Page 269 and 270: includes only two independent param
Page 271 and 272: OPTIONS AND SETTINGS 1 Open the Con
Page 273 and 274: The problem becomes well-posed by a
Page 275 and 276: POSTPROCESSING AND VISUALIZATION Th
Page 277 and 278: 7 Click OK. 8 From the Postprocessi
Page 279 and 280: the computed propagation constants
Page 281 and 282: 3 The default eigenmode is the one
Page 283 and 284: Compare these ideal values of the p
Page 285 and 286: Stress-Optical Effects with General
Page 287 and 288: The PDE solved is Navier’s equati
Page 289 and 290: and εx ∂u = ∂x εy ∂v = ∂y
Page 291 and 292: Model Library path: RF_Module/Optic
Page 293 and 294: NAME EXPRESSION DESCRIPTION B2 0.65
Page 295 and 296: 2 In the Subdomain Expressions dial
Page 297 and 298: 4 Initialize the mesh in this geome
Page 299 and 300: Note: This model includes an extens
Page 301 and 302: 3 Enter 1.46 in the text field Sear
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In these expressions, w 0 is the mi
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After 90 fs the pulse has reached t
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4 Select the RF Module>In-Plane Wav
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Boundary Conditions 1 From the Phys
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6 Click the Remesh button; when the
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2 On the General page, make sure th
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Propagation of a 3D Gaussian Beam L
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Figure 4-15: After 20 fs the pulse
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7 Click the Delete Interior Boundar
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Boundary Conditions 1 From the Phys
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5 From the Options menu, select Sup
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INDEX 3D electromagnetic waves mode
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efractive index 222, 254 resistance
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RF MODULE

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