Page 269 - FINAL_HANDBOOK_20242025

Faculty of Science Handbook, Academic Session 2024/2025

SIF2027 OPTICS (3 CREDITS)

Nature of light: brief history; Wave-particle duality; The
electromagnetic spectrum; Radiometry & Photometry; Black body
radiation; Optical radiation sources.
Matrix methods in paraxial optics; ABCD matrix; Reflection in plane
mirrors and refraction through plane surfaces; Reflection and
refraction at spherical surface; thin lenses, cylindrical lenses, thick
lenses; prisms.
Wave equation; Harmonic waveforms: plane, spherical, and
cylindrical; Electromagnetic waves; superposition; two-beam
interference & two slit (Young) interference; Interference in dielectric
films, multiple-beam interference; Optical interferometry: Michelson
interferometer, Fabry-Perot Interferometer.
Huygen-Fresnel principle; Fraunhofer diffraction: diffraction from
single slit, multiple slits-diffraction grating.
Polarized light; Polarization by selective absorption, reflection,
scattering, birefringence & dichroism; Jones vectors and matrices;
Fresnel equations. Fresnel diffraction & Fresnel lens
Assessment Method:
Final Examination: 60%
Continuous Assessment: 40%
SIF2028 MATHEMATICAL METHOD III (4 CREDITS)

Fourier Series and Transformation Series: Periodic functions, Fourier
series, average value of a function, Fourier coefficient, Dirichlet
condition, complex form of Fourier Series, general interval, even and
odd functions, Parseval theorem. Fourier transformation and
Parserval Theorem. Laplace Transforms, Solution of differential
equations by Laplace transforms, Dirac Delta Function, Laplace
transform of a delta function; Fourier transform of a delta function
Special Functions: Factorial functions, Gamma functions, Beta
functions, relationship between Beta and Gamma functions, error
functions, asymptotic series, Stirling formula and elliptical integrals.
Series Solution for Differential Equations: Legendre equations,
Leibnitz rule, Rodriguez formula, generating functions for Legendre
polynomial, orthogonal functions, orthogonalization and normalization
of Legendre polynomials, Legendre series, Associate Legendre
function, Frobenius method, Bessel equation, second solution of
Bessel equation, recurrence relationship, general differential equation

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