Page 236 - FULL FINAL HANDBOOK 20232024

Faculty of Science Handbook, Academic Session 2023/2024

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 with Bessel function as a solution, orthogonalization
of Bessel function, Hermite function, Laguerre function, step operator.
Partial Differential Equation: Separation of variables method applied to partial differential
equation; applications to Laplace equation, steady state temperature in a square plate,
Schrödinger equation, heat and diffusion equation. Wave equation, vibrating string, steady state
temperature in a cylinder, steady state temperature in a sphere, Poisson equation.
Assessment Method:
Final Examination: 60%
Continuous Assessment: 40%

SIF2029 APPLIED PHYSICS PRACTICAL (2 CREDITS)

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