Publications & References

Related papers and academic resources

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Foundational Texts

1
Born, M. & Wolf, E. Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, 7th ed. (Cambridge University Press, 1999).
The definitive treatise on classical optics. Chapters 1-2 cover electromagnetic foundations, Chapter 7 discusses thin-film interference in detail.
2
Heavens, O. S. Optical Properties of Thin Solid Films (Dover Publications, 1991).
Classic text specifically focused on thin-film optics. Comprehensive treatment of transfer matrix method and multi-layer systems.
3
Stenzel, O. The Physics of Thin Film Optical Spectra: An Introduction (Springer, 2005).
Modern treatment bridging theory and practice. Excellent discussion of dispersion models and practical measurement considerations.

Ellipsometry & Reflectometry

4
Tompkins, H. G. & Irene, E. A. Handbook of Ellipsometry (William Andrew Publishing, 2005).
Comprehensive reference covering both ellipsometry and reflectometry. Includes extensive material optical constants database.
5
Azzam, R. M. A. & Bashara, N. M. Ellipsometry and Polarized Light (North-Holland, 1987).
Rigorous mathematical treatment of polarized light and ellipsometric measurements. Essential for understanding advanced techniques.
6
Fujiwara, H. Spectroscopic Ellipsometry: Principles and Applications (Wiley, 2007).
Modern textbook with practical focus. Excellent chapter on data analysis and fitting algorithms.

Optimization & Numerical Methods

7
Nocedal, J. & Wright, S. J. Numerical Optimization, 2nd ed. (Springer, 2006).
Authoritative text on optimization algorithms. Chapter 10 covers Levenberg-Marquardt and Gauss-Newton methods.
8
Press, W. H., Teukolsky, S. A., Vetterling, W. T. & Flannery, B. P. Numerical Recipes: The Art of Scientific Computing, 3rd ed. (Cambridge University Press, 2007).
Practical implementations of numerical algorithms. Sections 15.5-15.6 discuss nonlinear least squares fitting.
9
Storn, R. & Price, K. "Differential Evolution – A Simple and Efficient Heuristic for Global Optimization over Continuous Spaces" Journal of Global Optimization 11, 341-359 (1997).
Original paper introducing differential evolution. Demonstrates superior performance for multimodal problems.
DOI: 10.1023/A:1008202821328
10
Madsen, K., Nielsen, H. B. & Tingleff, O. Methods for Non-Linear Least Squares Problems, 2nd ed. (Technical University of Denmark, 2004).
Practical guide to Levenberg-Marquardt implementation. Available as free PDF.
PDF Link

Signal Processing & FFT

11
Oppenheim, A. V. & Schafer, R. W. Discrete-Time Signal Processing, 3rd ed. (Pearson, 2009).
Standard textbook for digital signal processing. Chapter 10 covers FFT algorithms and applications.
12
Harris, F. J. "On the Use of Windows for Harmonic Analysis with the Discrete Fourier Transform" Proceedings of the IEEE 66(1), 51-83 (1978).
Classic paper on window functions. Comprehensive comparison of Hann, Hamming, Blackman, and Kaiser windows.
DOI: 10.1109/PROC.1978.10837

Semiconductor Manufacturing Applications

13
Kern, W. & Schuegraf, K. K. "Deposition Technologies and Applications: Introduction and Overview" in Handbook of Thin Film Deposition Processes and Techniques (Noyes Publications, 2001).
Industry-focused overview of thin-film deposition methods and in-situ monitoring techniques.
14
Schuegraf, K. K. Handbook of Thin-Film Deposition Processes and Techniques, 2nd ed. (Noyes Publications, 2001).
Practical guide to thin-film deposition with extensive coverage of metrology requirements.

Online Resources & Software

Useful Websites

Software Libraries

  • tmm (Python) - Transfer matrix method for multilayer thin films
    pip install tmm
  • SciPy - Scientific computing with optimization routines
    scipy.optimize.least_squares, scipy.optimize.differential_evolution
  • NumPy - Numerical computing foundation
    FFT via numpy.fft module
  • Lumerical FDTD - Commercial electromagnetic simulation
    For validating thin-film models

Key Journal Papers

15
Swanepoel, R. "Determination of the thickness and optical constants of amorphous silicon" Journal of Physics E: Scientific Instruments 16(12), 1214-1222 (1983).
Influential paper on envelope method for thickness determination from transmission spectra.
DOI: 10.1088/0022-3735/16/12/023
16
Manifacier, J. C., Gasiot, J. & Fillard, J. P. "A simple method for the determination of the optical constants n, k and the thickness of a weakly absorbing thin film" Journal of Physics E: Scientific Instruments 9(11), 1002 (1976).
Classic paper on extracting both thickness and optical constants from reflectance.
DOI: 10.1088/0022-3735/9/11/032
17
Hilfiker, J. N. et al. "Survey of methods to characterize thin absorbing films with Spectroscopic Ellipsometry" Thin Solid Films 516(22), 7979-7989 (2008).
Modern review comparing different approaches for absorbing films. Extensive bibliography.
DOI: 10.1016/j.tsf.2008.04.060

Standards & Metrology

18
SEMI MF1530 - Test Method for Measuring Thickness and Refractive Index of Transparent Films on Silicon Wafers by Optical Interference
Industry standard methodology for semiconductor applications.
19
ISO 15367 - Lasers and laser-related equipment — Test methods for determination of the shape of a laser beam wavefront
Related standard for optical measurement techniques.

Citation Note

This metrology suite is intended for educational and research purposes. When using these tools in published research, please cite relevant foundational texts and acknowledge the open-source nature of the implementation.

Further Reading

For additional resources and tutorials, visit the Complete Metrology Suite or explore the Getting Started Guide.