Category: Part 5: Optics

Problem Statement Solve the oscillation/wave problem: A circular disk blocks the first Fresnel zone for a point $P$ on the axis at distance $b = 2.0$ m ($\lambda = 600$ nm). Find the radius of the disk and the intensity at $P$. All quantities, constants, and constraints stated in the problem above Physical constants used…

Problem Statement Two slits have widths $b_1 = 0.10$ mm and $b_2 = 0.20$ mm, separated centre-to-centre by $d = 0.50$ mm. Illuminated by $\lambda = 550$ nm. Describe the far-field pattern. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario described.…

Problem Statement A circular aperture of radius $a = 1.0$ mm is illuminated by a plane wave ($\lambda = 500$ nm). Find the on-axis intensity at $z = 1.0$ m as a multiple of the unobstructed intensity $I_0$. Given Information See problem statement for all given quantities. Physical Concepts & Formulas Circular motion requires a…

Problem Statement Solve the oscillation/wave problem: Solve the oscillation/wave problem: Plane wave of $\lambda = 550$ nm falls on an aperture of width $a = 2.0$ mm. The observation screen is at distance $D = 3.0$ m. Determine whether the diffraction is Fraunhofer or Fresnel type. Fresnel number: $N_F = a^2/(\lambda D)$. $$N_F = \frac{(2.0\times10^{-3…

Problem Statement A single slit of width $b = 2.0$ mm is illuminated by a plane wave ($\lambda = 500$ nm) and the pattern is observed at $L = 3.0$ m. How many Fresnel half-period zones fit across the slit? Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem…

Problem Statement Solve the optics problem: Solve the optics problem: A zone plate has 10 open zones and principal focal length $f_1 = 50$ cm for $\lambda = 500$ nm. Find its diameter and the intensity at focus compared with a clear aperture of the same diameter. Radius of 10th zone: $r_{10} = \sqrt{10\lambda f_1}…

Problem Statement Solve the oscillation/wave problem: In a Michelson interferometer the fringe visibility drops to $V = 0.5$ when the path difference is $\Delta L = 8.0$ mm. Estimate the coherence length and spectral width of the source ($\lambda = 600$ nm). All quantities, constants, and constraints stated in the problem above Physical constants used…

Problem Statement Solve the oscillation/wave problem: Solve the oscillation/wave problem: In a Littrow mount grating spectrograph, the grating has 1200 lines/mm and the beam is incident at $\theta = 30°$ to the grating normal. Find the wavelength in 1st order that is diffracted back along the incident direction. In Littrow: $2d\sin\theta = m\lambda$, $ Given…

Problem Statement Solve the oscillation/wave problem: A Fabry-Perot etalon has mirror reflectance $R = 0.90$. Calculate the finesse $\mathcal{F}$ and compare the half-width of a transmission peak with the free spectral range. All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Given Information See problem statement…

Problem Statement Solve the Newton’s Laws / mechanics problem: Solve the Newton’s Laws / mechanics problem: The diameters of Newton’s rings $m$ and $m+10$ in reflected light are $D_m = 3.0$ mm and $D_{m+10} = 5.0$ mm for $\lambda = 589$ nm. Find the radius of curvature of the lens. For Newton’s rings: $r_m^2 =…