SD2185 Ultrasonics 6.0 credits


The course covers the theoretical background and some practical aspects of basic phenomena and techniques involving ultrasonic waves.

Offering and execution

Course offering missing for current semester as well as for previous and coming semesters

Course information

Content and learning outcomes

Course contents *

Elements of elasticity: strain and stress tensors, work, internal energy, generalized Hooke’s law. Propagation of bulk waves in isotropic and anisotropic solids: Christoffel equation, slowness surface; energy conservation and Poynting vector; group velocity. Rayleigh and Lamb waves: general properties of these modes and of their dispersion relations. Interaction of ultrasonic waves with perfect and damaged interfaces: boundary conditions; reflection and transmission. Radiation and Scattering: introduction to Green’s functions, radiation by a piston, Lommel integral, elements of scattering theory. Introduction to Nondestructive Evaluation (NDE): examples of material characterization by mean of ultrasonic waves.

Intended learning outcomes *

After the course the students should be able to:

  • Derive the wave equation and find its plane wave solutions in infinite, anisotropic solids, isotropic semi-spaces, a planar wave guides.
  • Formulate the boundary conditions associated with interfaces between solid-vacuum, solid-liquid, and solid-solid. Solve the related problem.
  • Use, at least qualitatively, the main concepts of scattering theory to describe the interaction between waves and defects.
  • Select the wave mode which is most appropriate for a given type of inspection. Select the appropriate transducer and experimental set-up to generate the mode.
  • Inspect solid materials and provide a qualitative interpretation of the inspection results

Course Disposition

No information inserted

Literature and preparations

Specific prerequisites *

Basic courses in mathematics, mechanics and noise control.

Recommended prerequisites

No information inserted


No information inserted


Ultrasonic Waves – Fundamentals and Applications’, J. David & N. Cheeke, CRC, Series in Pure and Applied Physics, CRC Press

Class notes

Examination and completion

Grading scale *

A, B, C, D, E, FX, F

Examination *

  • INL1 - Assignments, 3.0 credits, Grading scale: P, F
  • TEN1 - Examination, 3.0 credits, Grading scale: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

Other requirements for final grade *

Oral examination (TEN1; 3 university credits), Assignments (INL1; 3 university credits).

Opportunity to complete the requirements via supplementary examination

No information inserted

Opportunity to raise an approved grade via renewed examination

No information inserted


Leif Kari

Further information

Course web

No information inserted

Offered by

SCI/Aeronautical and Vehicle Engineering

Main field of study *

No information inserted

Education cycle *

Second cycle

Add-on studies

SD2145 Vibro-Acoustics
SD2130 Signal Analysis
SD2165 Acoustical Measurements
SD2150 Experimental Structure Dynamics
SD2155 Flow Acoustics
SD2160 Sound and Vibration, Project course
SD2170 Energy Methods
SD2175 Numerical Methods for Acoustics and Vibration
SD2180 Non-Linear Acoustics
SD2190 Vehicle Acoustics and Vibration

Ethical approach *

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Supplementary information

Not given 08/09.