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Public defence in Radio Science and Engineering, M.Sc.(Tech.) Joel Lamberg

Public defences
This thesis advances electromagnetic beam synthesis with the Curved Boundary Integral Method, enhancing THz corneal imaging for non-invasive early disease detection.
Public defence from the Aalto University School of Electrical Engineering, Department of Electronics and Nanoengineering
On the left side, the Gaussian beam interacts with the water droplet, and on the right side, a magnetic field is evaluated inside a spherical shell, using CBIM and Mie theory.
On the left is Mie scattering from a water droplet. On the right is a magnetic field inside a spherical shell.

When

–

Where

Undergraduate Centre
Lecture hall B

Event language(s)

English

The title of the thesis: Curved boundary integral method and its application to Mie theory: electromagnetic beam synthesis and scattering analysis

Thesis defender: Joel Lamberg
Opponent: Prof. Andrea Neto, Delft University of Technology, The Netherlands
Custos: Prof. Zachary Taylor, Aalto University School of Electrical Engineering, Department of Electronics and Nanoengineering

This doctoral thesis introduces and develops the Curved Boundary Integral Method (CBIM), paired with Mie Theory, to advance electromagnetic beam synthesis and scattering analysis, especially for terahertz (THz) corneal imaging. Aimed at improving non-invasive ocular diagnostics, this research adapts CBIM to model interactions between electromagnetic beams and the human eye, targeting early disease detection. The proposed theories are adaptable across the electromagnetic spectrum. 

The CBIM is an innovative theory and a computational method that synthesizes electromagnetic fields from arbitrary source distributions on compact, smooth surfaces. By using only electric field distributions, the method accurately approximates beam synthesis for surfaces with curvature radii larger than several wavelengths. It enables direct manipulation of beam attributes—wavefront, amplitude, phase, and polarization—at the source. Mie scattering theory is then applied by extending CBIM to a source-free, 3D angular spectrum method, allowing beams to be expressed via vector spherical harmonics. 

This approach shows notable potential for applications in biomedical engineering, particularly within the 0.1–1 THz range, effective for penetrating up to 0.5 mm into the cornea. Simulations and theoretical assessments affirm CBIM’s high precision, adaptation to the 3D angular spectrum method, and suitability for Mie scattering analysis. Specifically, CBIM’s capability to shape wavefronts and optimize polarization reduces errors seen in traditional Gaussian beam models, enhancing the accuracy of THz corneal spectroscopy. 

This work not only progresses the theoretical field of electromagnetic beam synthesis but also provides practical enhancements for THz imaging. It demonstrates how wavefront-controlled and polarization-adjusted vector beams could elevate the diagnostic precision of THz imaging in clinical ophthalmology, contributing substantially to early disease detection and improved patient outcomes.

Keywords: Electromagnetism, beam synthesis, optics, Mie scattering, imaging, biomedicine

Thesis available for public display 10 days prior to the defence at: https://aaltodoc.aalto.fi/doc_public/eonly/riiputus/

Contact:

Email  [email protected]


Doctoral theses in the School of Electrical Engineering: https://aaltodoc.aalto.fi/handle/123456789/53

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