Asymptotics of the resonances for a continuously stratified layer

Details Asymptotics of the resonances for a continuously stratified layer Asymptotics of the resonances for a continuously stratified layer

2012-02-03

arxiv.org/abs/1202.0665v1

Physics

Mathematical Physics

Scientific paper

Ultrasound wave propagation in a nonhomogeneous linearly elastic layer of constant thickness is considered. The resonances for the corresponding acoustic propagator are studied. It is shown that the distribution of the resonances depends on the smoothness of the coefficients. Namely, if the coefficients have jump discontinuities at the boundaries, then the resonances are asymptotically distributed along a straight line parallel to the real axis on the unphysical sheet of the complex frequency plane. In the contrary, if the coefficients are continuous, then it is shown that the resonances are asymptotically distributed along a logarithmic curve. The spacing between two successive resonances turns out to be sensitive to articular cartilage degeneration. The application of the obtained results to ultrasound testing of articular cartilage is discussed.

Affiliated with

Also associated with

No associations

Rating

Asymptotics of the resonances for a continuously stratified layer does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Asymptotics of the resonances for a continuously stratified layer, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotics of the resonances for a continuously stratified layer will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-4537