A Novel Hybrid Algorithm for Transient Near-Field Scattering from Rough Surface in 2-D Case

<table class="table-group" id="tab1"><tr><td><table class="table"><tr><td class="thead-hr" colspan="7"><hr/></td></tr><tr class="thead"><td class="align_left"> </td><td class="align_center">FDTD</td><td class="align_center">Hybrid algorithm</td><td class="align_center">FDTD</td><td class="align_center">Hybrid algorithm</td><td class="align_center">FDTD</td><td class="align_center">Hybrid algorithm</td></tr><tr><td class="thead-hr" colspan="7"><hr/></td></tr><tr><td class="align_left">Observation point attitude</td><td class="align_center"><span style="width: 50.1202ptpx;"><svg height="9.49473pt" id="M119" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -9.28833 50.1202 9.49473" width="50.1202pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M499 88L487 113C459 86 422 65 413 65C403 65 403 74 409 98L461 318C487 426 460 448 431 448C408 448 383 441 352 424C305 398 223 344 157 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591 397 603 429 609L423 641C382 634 335 622 295 608C189 570 37 457 37 238C37 84 125 -12 242 -12C362 -12 447 89 447 209C447 311 374 393 267 393C247 393 226 386 204 376L137 343ZM227 337C318 337 361 256 361 173C361 105 336 22 258 22C176 22 126 120 126 240C126 266 127 291 132 310C155 323 189 337 227 337Z"></path></g><g transform="matrix(.013,0,0,-0.013,36.258,0)"><path d="M797 0V26C739 32 732 36 732 103V296C732 394 682 449 605 449C576 449 550 437 529 423C504 407 475 389 446 366C425 418 382 449 334 449C303 449 279 437 253 421C222 403 201 385 180 371V452C135 432 85 419 41 411V388C99 379 102 374 102 310V103C102 38 93 32 27 26V0H238V26C189 32 180 38 180 103V338C210 363 250 390 289 390C351 390 377 348 377 275V103C377 37 368 32 306 26V0H520V26C465 32 456 38 456 101V296C456 314 455 326 453 338C491 369 529 390 565 390C628 390 653 345 653 274V107C653 36 642 32 583 26V0H797Z"></path></g></svg></span></td></tr><tr><td class="align_left">Number of cells</td><td class="align_center">688000</td><td class="align_center">608000</td><td class="align_center">848000</td><td class="align_center">608000</td><td class="align_center">1552000</td><td class="align_center">608000</td></tr><tr><td class="align_left">Memory usage (MB)</td><td class="align_center">27.9</td><td class="align_center">25.4</td><td class="align_center">33.4</td><td class="align_center">25.4</td><td class="align_center">60.5</td><td class="align_center">25.4</td></tr><tr><td class="align_left">Run time (s)</td><td class="align_center">516</td><td class="align_center">511</td><td class="align_center">691</td><td class="align_center">512</td><td class="align_center">1551</td><td class="align_center">512</td></tr><tr class="table-tr"><td colspan="7"><hr class="tbody-hr"/></td></tr></table></td></tr><tr class="table-fn"><td><div><svg height="10.1524pt" id="M125" style="vertical-align:-0.04990005pt" version="1.1" viewbox="-0.0498162 -10.1025 6.17869 10.1524" width="6.17869pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0091,0,0,-0.0091,0,-5.741)"><path d="M486 158C486 177 478 202 466 220C413 228 386 236 336 262C386 288 413 297 466 304C478 323 486 347 485 366C470 376 444 381 422 380C389 338 368 319 321 288C323 345 329 372 349 422C339 442 322 461 305 470C289 461 271 442 262 422C281 372 287 345 290 288C243 319 222 338 189 380C167 381 142 376 125 366C125 347 133 322 145 304C198 296 225 288 275 262C225 236 198 227 145 220C133 201 125 177 126 158C141 148 167 143 189 144C222 186 243 205 290 236C288 179 282 152 262 102C272 82 289 63 306 54C322 63 340 82 350 102C330 152 324 179 321 236C368 205 390 186 422 144C444 143 470 148 486 158Z"></path></g></svg>Calculated by a computer with a 2.30 GHz processor (Intel (<i>R</i>) Xeon (<i>R</i>) Gold 5118 CPU), 64 GB memory.<br/></div></td></tr></table>

<div>Computation costs of the hybrid algorithm and the FDTD method for the TE case.</div>

International Journal of Antennas and Propagation

tab1

Table 1

Table 1: A Novel Hybrid Algorithm for Transient Near-Field Scattering from Rough Surface in 2-D Case 