Investigation of Novel Noncontacting Measurement Method by the Design of Loop-Type Probe and Reconstruction of Radiation Modeling

<table class="table-group" id="tab4"><tr><td><table class="table"><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td align="left" rowspan="2">Resistance</td><td align="center"><span style="width: 13.5447ptpx;"><svg height="11.9629pt" id="M29" style="vertical-align:-3.2226pt" version="1.1" viewbox="-0.0498162 -8.7403 13.5447 11.9629" width="13.5447pt" 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="M660 23C638 31 621 43 599 66C580 87 558 119 523 175C493 221 456 287 441 317C508 344 566 392 566 480C566 542 539 586 499 613C458 640 408 650 320 650H39V615C112 608 121 598 121 518V134C121 51 110 42 35 35V0H337V35C261 42 252 51 252 134V280H271C303 280 321 267 337 237C366 184 393 130 419 89C460 26 498 -2 624 -8C637 -8 648 -9 654 -9L660 23ZM252 320V563C252 584 254 594 261 600C267 606 281 610 306 610C362 610 424 572 424 465C424 414 410 374 376 346C354 327 320 320 278 320H252Z" id="g13-80"></path><glyph.data ascent="1024" descent="-360" horiz-adv-x="659" vert-adv-y="659"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,8.567,3.132)"><path d="M476 46L464 83C454 79 442 75 430 75C414 75 398 88 398 135V295C398 350 389 395 345 427C317 448 285 457 244 457C184 446 112 410 75 385C53 368 40 356 40 337C40 308 78 285 104 285C125 285 141 292 148 318C156 348 165 374 177 388C187 399 198 405 211 405C250 405 271 368 271 310V285C248 264 170 239 110 217C56 197 31 172 31 119C31 55 82 -12 169 -12C188 -12 236 20 275 46C280 35 287 21 302 9C315 -3 336 -12 364 -12L476 46ZM271 85C253 72 242 68 228 68C205 68 167 87 167 142C167 176 183 193 214 209C235 219 252 230 271 241V85Z" id="g22-95"></path><glyph.data ascent="1041" descent="-369" horiz-adv-x="476" vert-adv-y="476"></glyph.data></g></svg></span></td><td align="center">18 mΩ</td></tr><tr><td align="center"><span style="width: 17.0339ptpx;"><svg height="11.9218pt" id="M30" style="vertical-align:-3.181499pt" version="1.1" viewbox="-0.0498162 -8.7403 17.0339 11.9218" width="17.0339pt" 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="M660 23C638 31 621 43 599 66C580 87 558 119 523 175C493 221 456 287 441 317C508 344 566 392 566 480C566 542 539 586 499 613C458 640 408 650 320 650H39V615C112 608 121 598 121 518V134C121 51 110 42 35 35V0H337V35C261 42 252 51 252 134V280H271C303 280 321 267 337 237C366 184 393 130 419 89C460 26 498 -2 624 -8C637 -8 648 -9 654 -9L660 23ZM252 320V563C252 584 254 594 261 600C267 606 281 610 306 610C362 610 424 572 424 465C424 414 410 374 376 346C354 327 320 320 278 320H252Z" id="g13-80"></path><glyph.data ascent="1024" descent="-360" horiz-adv-x="659" vert-adv-y="659"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,8.567,3.132)"><path d="M839 0V38C786 46 781 50 781 104V295C781 397 732 457 643 457C614 457 585 444 564 429C539 412 516 397 492 378C473 424 433 457 376 457C346 457 319 445 289 426C266 413 246 398 223 382V459C160 442 91 428 43 421V386C91 380 95 369 95 316V107C95 48 90 45 32 38V0H271V38C232 44 226 49 226 104V342C255 365 280 375 304 375C340 375 373 353 373 281V104C373 47 369 44 322 38V0H557V38C511 44 504 49 504 104V302C504 316 503 330 502 341C535 368 561 374 580 374C610 374 650 360 650 278V107C650 48 641 44 598 38V0H839Z" id="g22-107"></path><glyph.data ascent="1041" descent="-369" horiz-adv-x="858" vert-adv-y="858"></glyph.data></g></svg></span></td><td align="center">6.8 kΩ</td></tr><tr><td align="center" colspan="3"><hr/></td></tr><tr><td align="left" rowspan="2">Capacitance</td><td align="center"><span style="width: 13.7665ptpx;"><svg height="11.9629pt" id="M31" style="vertical-align:-3.2226pt" version="1.1" viewbox="-0.0498162 -8.7403 13.7665 11.9629" width="13.7665pt" 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="M625 186C574 85 512 32 429 32C293 32 194 153 194 337C194 485 274 621 419 621C496 621 573 586 606 468L643 475C636 537 629 583 620 638C593 644 519 665 438 665C199 665 42 523 42 317C42 158 152 -15 418 -15C486 -15 578 5 604 11C621 46 647 122 660 171L625 186Z" id="g13-65"></path><glyph.data ascent="1024" descent="-360" horiz-adv-x="676" vert-adv-y="676"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,8.788,3.132)"><path d="M476 46L464 83C454 79 442 75 430 75C414 75 398 88 398 135V295C398 350 389 395 345 427C317 448 285 457 244 457C184 446 112 410 75 385C53 368 40 356 40 337C40 308 78 285 104 285C125 285 141 292 148 318C156 348 165 374 177 388C187 399 198 405 211 405C250 405 271 368 271 310V285C248 264 170 239 110 217C56 197 31 172 31 119C31 55 82 -12 169 -12C188 -12 236 20 275 46C280 35 287 21 302 9C315 -3 336 -12 364 -12L476 46ZM271 85C253 72 242 68 228 68C205 68 167 87 167 142C167 176 183 193 214 209C235 219 252 230 271 241V85Z" id="g22-95"></path><glyph.data ascent="1041" descent="-369" horiz-adv-x="476" vert-adv-y="476"></glyph.data></g></svg></span></td><td align="center">0.42 pF</td></tr><tr><td align="center"><span style="width: 17.2558ptpx;"><svg height="11.9218pt" id="M32" style="vertical-align:-3.181499pt" version="1.1" viewbox="-0.0498162 -8.7403 17.2558 11.9218" width="17.2558pt" 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="M625 186C574 85 512 32 429 32C293 32 194 153 194 337C194 485 274 621 419 621C496 621 573 586 606 468L643 475C636 537 629 583 620 638C593 644 519 665 438 665C199 665 42 523 42 317C42 158 152 -15 418 -15C486 -15 578 5 604 11C621 46 647 122 660 171L625 186Z" id="g13-65"></path><glyph.data ascent="1024" descent="-360" horiz-adv-x="676" vert-adv-y="676"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,8.788,3.132)"><path d="M839 0V38C786 46 781 50 781 104V295C781 397 732 457 643 457C614 457 585 444 564 429C539 412 516 397 492 378C473 424 433 457 376 457C346 457 319 445 289 426C266 413 246 398 223 382V459C160 442 91 428 43 421V386C91 380 95 369 95 316V107C95 48 90 45 32 38V0H271V38C232 44 226 49 226 104V342C255 365 280 375 304 375C340 375 373 353 373 281V104C373 47 369 44 322 38V0H557V38C511 44 504 49 504 104V302C504 316 503 330 502 341C535 368 561 374 580 374C610 374 650 360 650 278V107C650 48 641 44 598 38V0H839Z" id="g22-107"></path><glyph.data ascent="1041" descent="-369" horiz-adv-x="858" vert-adv-y="858"></glyph.data></g></svg></span></td><td align="center">0.07 pF</td></tr><tr><td align="center" colspan="3"><hr/></td></tr><tr><td align="left" rowspan="2">Inductance</td><td align="center"><span style="width: 12.1354ptpx;"><svg height="11.9629pt" id="M33" style="vertical-align:-3.2226pt" version="1.1" viewbox="-0.0498162 -8.7403 12.1354 11.9629" width="12.1354pt" 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="M512 180C494 129 475 97 457 77C433 50 397 43 354 43C323 43 297 45 279 52C259 61 255 78 255 125V516C255 602 264 608 340 615V650H35V615C111 608 121 602 121 516V133C121 48 111 42 24 35V0H511C519 27 540 126 548 169L512 180Z" id="g13-74"></path><glyph.data ascent="1024" descent="-360" horiz-adv-x="551" vert-adv-y="551"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,7.163,3.132)"><path d="M476 46L464 83C454 79 442 75 430 75C414 75 398 88 398 135V295C398 350 389 395 345 427C317 448 285 457 244 457C184 446 112 410 75 385C53 368 40 356 40 337C40 308 78 285 104 285C125 285 141 292 148 318C156 348 165 374 177 388C187 399 198 405 211 405C250 405 271 368 271 310V285C248 264 170 239 110 217C56 197 31 172 31 119C31 55 82 -12 169 -12C188 -12 236 20 275 46C280 35 287 21 302 9C315 -3 336 -12 364 -12L476 46ZM271 85C253 72 242 68 228 68C205 68 167 87 167 142C167 176 183 193 214 209C235 219 252 230 271 241V85Z" id="g22-95"></path><glyph.data ascent="1041" descent="-369" horiz-adv-x="476" vert-adv-y="476"></glyph.data></g></svg></span></td><td align="center">5.8137 nH</td></tr><tr><td align="center"><span style="width: 15.6247ptpx;"><svg height="11.9218pt" id="M34" style="vertical-align:-3.181499pt" version="1.1" viewbox="-0.0498162 -8.7403 15.6247 11.9218" width="15.6247pt" 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="M512 180C494 129 475 97 457 77C433 50 397 43 354 43C323 43 297 45 279 52C259 61 255 78 255 125V516C255 602 264 608 340 615V650H35V615C111 608 121 602 121 516V133C121 48 111 42 24 35V0H511C519 27 540 126 548 169L512 180Z" id="g13-74"></path><glyph.data ascent="1024" descent="-360" horiz-adv-x="551" vert-adv-y="551"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,7.163,3.132)"><path d="M839 0V38C786 46 781 50 781 104V295C781 397 732 457 643 457C614 457 585 444 564 429C539 412 516 397 492 378C473 424 433 457 376 457C346 457 319 445 289 426C266 413 246 398 223 382V459C160 442 91 428 43 421V386C91 380 95 369 95 316V107C95 48 90 45 32 38V0H271V38C232 44 226 49 226 104V342C255 365 280 375 304 375C340 375 373 353 373 281V104C373 47 369 44 322 38V0H557V38C511 44 504 49 504 104V302C504 316 503 330 502 341C535 368 561 374 580 374C610 374 650 360 650 278V107C650 48 641 44 598 38V0H839Z" id="g22-107"></path><glyph.data ascent="1041" descent="-369" horiz-adv-x="858" vert-adv-y="858"></glyph.data></g></svg></span></td><td align="center">2.5 nH</td></tr><tr class="table-tr"><td colspan="3"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Parameters of the noncontacting measurement model (DUT: transmission line).

Mathematical Problems in Engineering

tab4

Table 4

Table 4: Investigation of Novel Noncontacting Measurement Method by the Design of Loop-Type Probe and Reconstruction of Radiation Modeling 