RF MODULE

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adiation pattern for the modeled patch antenna is shown in Figure 3-37 for the optimum frequency, 6.3 GHz. Figure 3-37: The radiation pattern plotted as a lobe pattern, using the deformed plot feature. It is clear that the wave mainly propagates in two lobes, with minimal radiation out of the backside of the PCB. Model Library path: RF_Module/RF_and_Microwave_Engineering/ patch_antenna_balanced Modeling in COMSOL Multiphysics Antenna simulations in 3D often get very large, so this model should be solved on a 64-bit platform. The final mesh results in about 550,000 complex degrees of freedom, and it is seldom possible to solve problems of such large size without iterative solvers. This model solves with an efficient iterative multigrid solver, consuming around 2.5 GB of memory. 188 | CHAPTER 3: RF AND MICROWAVE MODELS
Reference 1. E. Recht and S. Shiran, “A Simple Model for Characteristic Impedance of Wide Microstrip Lines for Flexible PCB,” Proceedings of IEEE EMC Symposium 2000, pp. 1010–1014. Modeling Using the Graphical User Interface MODEL NAVIGATOR 1 In the Model Navigator, select 3D in the Space dimension list. 2 In the RF Module folder, select Electromagnetic Waves>Harmonic propagation. 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 (optionally) descriptions; when done, click OK. NAME VALUE DESCRIPTION a_coax 0.5[mm] Radius for the inner conductor of the coaxial cable b_coax 2[mm] Inner radius for the outer conductor epsilonr_coax 2.07 Rel. permittivity of the insulator in the cable epsilonr_pcb 5.23 Rel. permittivity of the printed circuit board for the patch antenna Pport 16.636[mW] Input power for the ports freq 6.3[GHz] Default frequency GEOMETRY MODELING The geometry modeling of this model is rather extensive, so it is possible to import the patch antenna geometry from a binary file. Select the section that you prefer. Importing the Geometry from a Binary File 1 From the File menu, select Import>CAD Data From File. 2 In the Import CAD Data From File dialog box, make sure that the COMSOL Multiphysics file or All 3D CAD files is selected in the Files of type list. BALANCED PATCH ANTENNA FOR 6 GHZ | 189
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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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12 Click the Solve button on the Ma
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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
Page 145 and 146: solutions for both the electromagne
Page 147 and 148: 4 Select Subdomain 1, then enter th
Page 149 and 150: 1 Click the Plot Parameters button
Page 151 and 152: sar_in_human_head_interp.txt. That
Page 153 and 154: The bioheat equation produces a sim
Page 155 and 156: 3 Click OK. 4 From the Options menu
Page 157 and 158: 17 In the Work-Plane Settings dialo
Page 159 and 160: SETTINGS SUBDOMAIN 19 epsilonr_brai
Page 161 and 162: 4 Click the Init tab and type 0 in
Page 163 and 164: POSTPROCESSING AND VISUALIZATION 1
Page 165 and 166: The walls of the oven and the waveg
Page 167 and 168: Figure 3-29: Temperature in the cen
Page 169 and 170: 3 Click the block symbol again and
Page 171 and 172: 2 At the waveguide end, Boundary 23
Page 173 and 174: 4 Click OK to generate the plot bel
Page 177 and 178: Because the filter cutoff should be
Page 179 and 180: the force is applied. Figure 3-32 d
Page 181 and 182: 6 Then the ECAD Import Options dial
Page 183 and 184: PHYSICS SETTINGS Subdomain Settings
Page 185 and 186: solver takes more steps than it sto
Page 187 and 188: 3 Select Subdomain 1 and clear the
Page 189 and 190: 13 Click the Solve button on the Ma
Page 191 and 192: Balanced Patch Antenna for 6 GHz In
Page 193 and 194: k0 = ω ε0 µ 0 All metallic objec
Page 195: divided by the input power. In Figu
Page 199 and 200: 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
Page 207 and 208: a toggle button that shifts between
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 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
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Bandgap Analysis of a Photonic Crys
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a 2 a 3 × b1 = 2π----------------
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The five lowest bands for the (1, 1
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Modeling Using the Graphical User I
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Subdomain Settings 1 Open the Subdo
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3 Click the Parametric tab. Select
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3 Click OK to see the following plo
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fem.appl{1}.prop.analysis = 'harmon
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Model Definition The mode analysis
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2 Select the RF Module>Perpendicula
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4 On the Contour page, give Magneti
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includes only two independent param
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OPTIONS AND SETTINGS 1 Open the Con
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The problem becomes well-posed by a
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POSTPROCESSING AND VISUALIZATION Th
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7 Click OK. 8 From the Postprocessi
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the computed propagation constants
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3 The default eigenmode is the one
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Compare these ideal values of the p
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Stress-Optical Effects with General
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The PDE solved is Navier’s equati
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and εx ∂u = ∂x εy ∂v = ∂y
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Model Library path: RF_Module/Optic
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NAME EXPRESSION DESCRIPTION B2 0.65
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2 In the Subdomain Expressions dial
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4 Initialize the mesh in this geome
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Note: This model includes an extens
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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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