78:
In addition to predicting the effects of diffraction, the model has been extended to apply to non-monochromatic cases (acoustic pulses) and to include the effects of attenuation, refraction, and dispersion. Several researchers have also extended the model to include the nonlinear effects of finite
46:. The technique can predict an acoustic pressure field distribution over a plane, based upon knowledge of the pressure field distribution at a parallel plane. Predictions in both the forward and backward propagation directions are possible.
509:
Vecchio, Christopher J.; Schafer, Mark E.; Lewin, Peter A. (1994). "Prediction of ultrasonic field propagation through layered media using the extended angular spectrum method".
67:
Multiplying each point in the 2D-FFT by a propagation term which accounts for the phase change that each plane wave will undergo on its journey to the prediction plane.
386:
Zemp, Roger J.; Tavakkoli, Jahangir; Cobbold, Richard S. C. (2003). "Modeling of nonlinear ultrasound propagation in tissue from array transducers".
79:
amplitude acoustic propagation (propagation in cases where sound speed is not constant but is dependent upon the instantaneous acoustic pressure).
64:) of the pressure field - this will decompose the field into a 2D "angular spectrum" of component plane waves each traveling in a unique direction.
53:
Sampling the complex (real and imaginary) components of a pressure field over a grid of points lying in a cross-sectional plane within the field.
259:
Vecchio, Christopher J.; Lewin, Peter A. (1994). "Finite amplitude acoustic propagation modeling using the extended angular spectrum method".
173:
Waag, R.C.; Campbell, J.A.; Ridder, J.; Mesdag, P.R. (1985). "Cross-Sectional
Measurements and Extrapolations of Ultrasonic Fields".
319:
122:
86:. Forward propagation can be used to predict the influence of inhomogeneous, nonlinear media on acoustic transducer performance.
49:
Modeling the diffraction of a CW (continuous wave), monochromatic (single frequency) field involves the following steps:
216:
Stepanishen, Peter R.; Benjamin, Kim C. (1982). "Forward and backward projection of acoustic fields using FFT methods".
82:
Backward propagation predictions can be used to analyze the surface vibration patterns of acoustic radiators such as
20:
558:
335:
Christopher, P. Ted; Parker, Kevin J. (1991). "New approaches to nonlinear diffractive field propagation".
57:
83:
306:. 14th Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE.
473:
442:
395:
344:
268:
225:
182:
95:
563:
34:. This technique involves expanding a complex wave field into a summation of infinite number of
534:
526:
491:
419:
411:
368:
360:
315:
284:
241:
198:
118:
71:
61:
38:
of the same frequency and different directions. Its mathematical origins lie in the field of
518:
481:
403:
352:
307:
276:
233:
190:
439:
Finite
Amplitude Acoustic Propagation Modeling Using the Extended Angular Spectrum Method
158:
477:
446:
399:
348:
272:
229:
186:
39:
552:
522:
311:
43:
35:
31:
530:
495:
415:
364:
288:
245:
202:
194:
423:
538:
372:
74:) of the resulting data set to yield the field over the prediction plane.
304:
Acoustic propagation modeling using the extended angular spectrum method
407:
181:(1). Institute of Electrical and Electronics Engineers (IEEE): 26–35.
486:
461:
356:
280:
237:
462:"Transducer characterization using the angular spectrum method"
137:(Wiley Series in Pure and Applied Optics) Jack D. Gaskill
117:, 2nd edition 1982, Azriel Rosenfeld, Avinash C. Kak,
16:
Technique for modeling the propagation of a wave field
472:(5). Acoustical Society of America (ASA): 2202–2214.
267:(5). Acoustical Society of America (ASA): 2399–2408.
42:
but it has been applied extensively in the field of
394:(1). Acoustical Society of America (ASA): 139–152.
343:(1). Acoustical Society of America (ASA): 488–499.
224:(4). Acoustical Society of America (ASA): 803–812.
30:is a technique for modeling the propagation of a
466:The Journal of the Acoustical Society of America
388:The Journal of the Acoustical Society of America
337:The Journal of the Acoustical Society of America
261:The Journal of the Acoustical Society of America
218:The Journal of the Acoustical Society of America
135:Linear Systems, Fourier Transforms, and Optics
441:(PhD). Dissertation Abstracts International.
8:
70:Taking the 2D-IFFT (two dimensional inverse
175:IEEE Transactions on Sonics and Ultrasonics
460:Schafer, Mark E.; Lewin, Peter A. (1989).
485:
302:Vecchio, Chris; Lewin, Peter A. (1992).
107:
7:
511:Ultrasound in Medicine & Biology
437:Vecchio, Christopher John (1992).
14:
147:Introduction to Fourier Optics
1:
523:10.1016/0301-5629(94)90109-0
517:(7). Elsevier BV: 611–622.
580:
312:10.1109/iembs.1992.5762211
115:Digital Picture Processing
21:Angular spectrum expansion
18:
160:Angular Spectrum Approach
19:Not to be confused with
195:10.1109/t-su.1985.31566
28:angular spectrum method
125:, Academic Press, Inc.
84:ultrasonic transducers
149:, Joseph W. Goodman.
96:Wave field synthesis
478:1989ASAJ...85.2202S
447:1992PhDT........59V
400:2003ASAJ..113..139Z
349:1991ASAJ...90..488C
273:1994ASAJ...95.2399V
230:1982ASAJ...71..803S
187:1985ITSU...32...26W
162:, Robert J. McGough
408:10.1121/1.1528926
72:Fourier transform
62:Fourier transform
60:(two dimensional
571:
543:
542:
506:
500:
499:
489:
487:10.1121/1.397869
457:
451:
450:
434:
428:
427:
383:
377:
376:
357:10.1121/1.401274
332:
326:
325:
299:
293:
292:
281:10.1121/1.409849
256:
250:
249:
238:10.1121/1.387606
213:
207:
206:
170:
164:
156:
150:
144:
138:
132:
126:
112:
579:
578:
574:
573:
572:
570:
569:
568:
559:Physical optics
549:
548:
547:
546:
508:
507:
503:
459:
458:
454:
436:
435:
431:
385:
384:
380:
334:
333:
329:
322:
301:
300:
296:
258:
257:
253:
215:
214:
210:
172:
171:
167:
157:
153:
145:
141:
133:
129:
113:
109:
104:
92:
24:
17:
12:
11:
5:
577:
575:
567:
566:
561:
551:
550:
545:
544:
501:
452:
429:
378:
327:
320:
294:
251:
208:
165:
151:
139:
127:
106:
105:
103:
100:
99:
98:
91:
88:
76:
75:
68:
65:
56:Taking the 2D-
54:
40:Fourier optics
15:
13:
10:
9:
6:
4:
3:
2:
576:
565:
562:
560:
557:
556:
554:
540:
536:
532:
528:
524:
520:
516:
512:
505:
502:
497:
493:
488:
483:
479:
475:
471:
467:
463:
456:
453:
448:
444:
440:
433:
430:
425:
421:
417:
413:
409:
405:
401:
397:
393:
389:
382:
379:
374:
370:
366:
362:
358:
354:
350:
346:
342:
338:
331:
328:
323:
321:0-7803-0785-2
317:
313:
309:
305:
298:
295:
290:
286:
282:
278:
274:
270:
266:
262:
255:
252:
247:
243:
239:
235:
231:
227:
223:
219:
212:
209:
204:
200:
196:
192:
188:
184:
180:
176:
169:
166:
163:
161:
155:
152:
148:
143:
140:
136:
131:
128:
124:
123:0-12-597302-0
120:
116:
111:
108:
101:
97:
94:
93:
89:
87:
85:
80:
73:
69:
66:
63:
59:
55:
52:
51:
50:
47:
45:
41:
37:
33:
29:
22:
514:
510:
504:
469:
465:
455:
438:
432:
391:
387:
381:
340:
336:
330:
303:
297:
264:
260:
254:
221:
217:
211:
178:
174:
168:
159:
154:
146:
142:
134:
130:
114:
110:
81:
77:
48:
27:
25:
36:plane waves
564:Ultrasound
553:Categories
102:References
44:ultrasound
32:wave field
531:0301-5629
496:0001-4966
416:0001-4966
365:0001-4966
289:0001-4966
246:0001-4966
203:0018-9537
424:12558254
90:See also
539:7810021
474:Bibcode
443:Bibcode
396:Bibcode
373:1880298
345:Bibcode
269:Bibcode
226:Bibcode
183:Bibcode
537:
529:
494:
422:
414:
371:
363:
318:
287:
244:
201:
121:
535:PMID
527:ISSN
492:ISSN
420:PMID
412:ISSN
369:PMID
361:ISSN
316:ISBN
285:ISSN
242:ISSN
199:ISSN
119:ISBN
26:The
519:doi
482:doi
404:doi
392:113
353:doi
308:doi
277:doi
234:doi
191:doi
58:FFT
555::
533:.
525:.
515:20
513:.
490:.
480:.
470:85
468:.
464:.
418:.
410:.
402:.
390:.
367:.
359:.
351:.
341:90
339:.
314:.
283:.
275:.
265:95
263:.
240:.
232:.
222:71
220:.
197:.
189:.
179:32
177:.
541:.
521::
498:.
484::
476::
449:.
445::
426:.
406::
398::
375:.
355::
347::
324:.
310::
291:.
279::
271::
248:.
236::
228::
205:.
193::
185::
23:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.