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On the inverse transmission eigenvalue problem with a piecewise W1/2 refractive index
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DOI：10.1088/1361-6420/ae405d.png)
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Abstract
En 中文
In this paper, we consider the inverse spectral problem of determining the spherically symmetric refractive index in a bounded spherical region of radius b. Instead of the usual case of the refractive index p is an element of W-2(2), by using singular Sturm-Liouville theory, we discuss the case when the refractive index p is a piecewise W-1/(2) function. We prove that if integral(b)(root)(0)rho(r)dr
Keywords:
Weyl-Titchmarsh function
transmission eigenvalue problem
singular Sturm-Liouville problem
discontinuity
refractive index
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2.1
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78
Citations:
8.4K
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