One case we can take advantage of in fields such as fiber optics is total internal refraction. Here the light never travels passed the boundary, which means when this first occurs the angle of refraction is 90°. If going from glass to air, at what incident angle would we first see total internal refraction? nε sin е=nдsin 90° A Calculate the angle and compare it to the angle measured using the simulation. Show work here.
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- Repeat your calculation of the previous problem with the thin film placed on a flat glass (n=1.50) surface.Compute the radiative flux transferred from a 2.5 m2 polished aluminum plate at 1000 K to a camera that has a 2 inches optical aperture (objective diameter) and a silicon CMOS focal plane array (about 1 cm2), located 10 m away from the plate. Assume that the plate is a Lambertian radiator and all light entering the camera aperture reaches the detector array. Use Figure 1 as a guide for your calculations. Assume that the lens is completely transparent at all wavelengths, the sensor filter is a bandpass filter that completely blocks all small wavelengths up to UV and long wavelengths beyond 1 THz. In the passing band the filter is perfectly transparent. The emissivity of polished aluminum and transmittance of the atmosphere can be considered constant over the entire spectrum (search for the approximate values online – cite the used reference).Two converging lenses, with focal lengths f1 and f2 are positioned a distance f1 + f2 apart, as shown in the figure below. Arrangements like this are called beam expanders and are often used to increase the diameters of light beams from lasers. a. If W1 is the incident beam width, show that the width of the emerging beam is W2 = f2/f1 * W1b. Show how a combination of one diverging and one converging lens can also be arranged as a beam expander. Incident rays parallel to the axis should exit parallel to the axis c. Calculate the ratio of the intensity of the beam emerging from the beam expander to the intensity of the laser beam.
- At what angle do you observe the 4th order maximum relative to the central maximum when 400 nm light is incident normally on two slits separated by 0.025 mm? Also, At what angle do you observe the 3rd order minimum? Set-up is the same as above and with a slit separation of 0.025 mm. Make sure to answer both parts of the question. Show all work.What is the maximum acceptance angle Om (the angle between incident light and the normal line before light enters the optical fiber) for a narrow beam of light incident on the fiber face such that the refracted ray in the core of the fiber is incident on the cladding at just the critical angle? show your calculation steps Given: index of cladding= 1.4, index of core= 1.6 Light Air n = 1.0 Normal.. Light 0m 8m P Normal R 8 Q Fiber Optics Cladding Fiber.core.. CladdingSolve d part in this question Estimate the optical loss due to Fresnel reflection at a fiber core from GaAs each of refractive indices 1.48 and 3.5 respectively. b) Calculate the optical power emitted into air for the device, when the step index fiber has a numerical aperture of 0.16, coupled power of 0.31 mW.c) Determine the overall power conversion efficiency for the LED if it is operating with a drive current of 210 mA and a forward voltage of 1.5V.d) Find the optical output power at 170MHz, and calculate the optical and electrical modulation bandwidth for a minority carrier recombination life time of 9ns.
- The Rayleigh criterion provides a convenient way to describe the theoretical resolution (e.g. an ability to distinguish objects ) of an optical system. The criterion states that two small bright sources of light can be resolved if the first d mìnimum of the image of one source point just coincides with of further apart then the first maximum of another (s Ho Your c below). A converging lens, 28.7 mm in diameter, is used to form images of distant objects. Considering the diffractio lens, what angular separation must two distant point objects have in order to satisfy Rayleigh's criterion? Assume t Here wavelength of the light from the distant objects is 469 nm. Provide your answer in millidegrees (mdeg). STE Exp complexity subscibers Answer: Choose... + Check Finishin Check cCircle and correct the statements below that are false about diffraction. Justify your corrections. (a) Diffraction of light is evidence that we can treat light as a particle. (b) For single slit diffraction, constructive interference of light will present as dark spots on screen. (c) For single slit diffraction, as the wavelength of the light decreases, the diffraction pattern shrinks with all fringes getting narrower. (d) When λ/w is large in this scenario [λ >> w], there are little to no effects of diffraction observed. (e) All of the above statements are true.You would like to create a reflection grating like the one shown, with an incident angle (0) of 49°. Calculate the Incident light d number of lines per centimeter that should be etched in the Emerging light grating for each condition. A first order diffraction angle (4) of –31° for visible light with a wavelength of 500 nm. lines per centimeter: lines/cm A first order diffraction angle () of –31° for infrared light with a wavelength of 0.00250 cm. lines per centimeter: lines/cm
- Fig. 1 shows a laser beam incident on a piece of wet filter paper placed on a glass plate whose 'refractive indexglass plate whose refractive index is to be measured (the rays are represented in the figure). Explain what happens anddeduce an expression for ni in terms of R and d. Consider the refractive index of air to be 1.Note: Remember that all light that falls on a reflecting surface always has part of the light reflected, being refracted or not.refracted or not. Moreover, θc in the figure represents the critical angle at which we have the condition of total internal reflectionAn electron beam is mirrored by a pair of slits separated by a distance d. On a screen placed at a distance L from the slits, light and dark bangs form. The experimental arrangemente pattern is analogous to that of the double slit optical interference experiment (see figure below). If yn is the location of the nth light fringe relative to the central point between the slits (central maximum), what is the energy of the nth fringe?center), what is the energy of the electrons that are measured at yn?(Given, Required, Solution, Answer) You see a glass container filled with three material interfaces stacked together (noptical density=1.00, nturpentine oil=1.47, nethyl alcohol=1.36) and a hole on the bottom of the hanging interface container. If the angle of emergence is 45° directed to the hole, what should be the phase velocity of light refracted per medium? In the same setup, trace the inclination of bend per media by following Snell’s Law.