Public defence in Radio Science and Engineering, M.Sc.(Tech.) Joel Lamberg
Public defence from the Aalto University School of Electrical Engineering, Department of Electronics and Nanoengineering
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:
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Doctoral theses in the School of Electrical Engineering: https://aaltodoc.aalto.fi/handle/123456789/53