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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Inverse Obstacle Scattering with Non-Over-Determined Scattering Data

Inverse Obstacle Scattering with Non-Over-Determined Scattering Data

Ramm, Alexander G.

Paperback

Series: Synthesis Lectures on Mathematics & Statistics

ApplicationsGeneral ComputersGeneral Mathematics

ISBN10: 3031012909
ISBN13: 9783031012907
Publisher: Springer Nature
Published: Jun 12 2019
Pages: 53
Weight: 0.31
Height: 0.15 Width: 7.50 Depth: 9.25
Language: English

The inverse obstacle scattering problem consists of finding the unknown surface of a body (obstacle) from the scattering ����(����;����;����), where ����(����;����;����) is the scattering amplitude, ����;���� ���� ���� is the direction of the scattered, incident wave, respectively, ���� is the unit sphere in the ℝ3 and k > 0 is the modulus of the wave vector. The scattering data is called non-over-determined if its dimensionality is the same as the one of the unknown object. By the dimensionality one understands the minimal number of variables of a function describing the data or an object. In an inverse obstacle scattering problem this number is 2, and an example of non-over-determined data is ����(����): = ����(����;����₀;����₀). By sub-index 0 a fixed value of a variable is denoted.

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