3. A micro lens focuses on a laser beam of diameter D = 1 mm to...
3. A micro lens focuses on a laser beam of diameter D = 1 mm to a tiny spot of radius wF. The wavelength of the laser beam is 800 nm and f of the micro lens is 1.25 mm. Find wf. Assume the laser beam fills the micro lens.
a) 637 nm
b)1274 nm
c)637 microns
d) 1274 microns
e) none of these
Homework Answers
List of equations: 3 8 ws - of W Erhv n sin = n, sin 02...
List of equations: 3 8 ws - of W Erhv n sin = n, sin 02 Tid E, n, cose, - n, cos E n cos & + n, cose E, 712 n, cose, - n, cose, E n, cose, + n cose, 0 = sin(ng/n) 2,27 77 TWO E=Pt E=MCAT m=pV=PAL E= PALGAT E = mcAT+MH = PALCCAT+H). p=1g/cm (for water) P'=P/CSA OD = -Log(1/1) ty= 1/(4K) T(5,1)=T,+(T.-T, Werfel – 2/KT c = lcal/gH = 540 calg 13 Time...
A collimated Gaussian light beam is focused to a spot by a lens. The diameter (2w)...
A collimated Gaussian light beam is focused to a spot by a lens. The diameter (2w) of the input beam is 100 microns. What is the diameter of the waist (2wo) of the focused spot if the wavelength of the light is 1550 nm and the focal length of the lens is 1.5 mm?
A helium-neon laser of the type often found in physics laboratories has a beam power of...
A helium-neon laser of the type often found in physics laboratories has a beam power of 4.00 mW at a wavelength of 633 nm. The beam is focused by a lens to a circular spot whose effective diameter may be taken to be equal to 2.00 wavelengths. A). Calculate the intensity of the focused beam. B). Calculate the radiation pressure exerted on a tiny perfectly absorbing sphere whose diameter is that of the focal spot. C). Calculate the force exerted...
A 3 mW red ( = 670 nm) laser pointer produces a 2 mm diameter spot...
A 3 mW red ( = 670 nm) laser pointer produces a 2 mm diameter spot on a screen. a) If we place a f = 1cm lens before the screen, and the radius of curvature of the wavefront reaching the lens is 2 m, find the waist of the focused light. b) The intensity of the light at the center of the beam is given by Imax= 2P/πw2(in W/m2). Calculate the maximum intensity at the focal point. c) If...
1) A laser produces a Gaussian beam with a waist immediately outside the laser, with a beam radiu...
1) A laser produces a Gaussian beam with a waist immediately outside the laser, with a beam radius of 5 mm, an average power of 1 Watt, and a wavelength of 1 шт. We wish to choose a lens that will focus this beam as tightly as possible, subject to the constraint that the depth of focus must be at least 1 mm. a) What focal length lens should we choose? (Assume an ideal thin lens with no aberrations.) b)What...
P3.4. The spot size is clearly extremely important in determining the power density of a focused ...
P3.4. The spot size is clearly extremely important in determining the power density of a focused laser beam, an important determi- nant of how it may be used in surgery. However, there is a basic limitation on how small a spot one can achieve with a given wavelength laser beam, ; a given diameter laser beam (D); and a lens with focal length, f. This smallest spot sizc is given by: where d is the diameter of the focused laser...
A laser beam of diameter d1 = 1.1 mm is directed along the optical axis of...
A laser beam of diameter d1 = 1.1 mm is directed along the
optical axis of a thin lens of focal length +6.5 cm (see figure
below).
(a) How far from the lens will the beam be focused?
(b) 1. A second positive lens is placed to the right of the
first. Light emerges from the second lens in a parallel beam of
diameter d2 = 3.8 mm. Thus the combination of lenses acts as a beam
expander. Find the...
4. A laser beam from a 1 mW He-Ne laser (632.8 nm) is directed onto a...
4. A laser beam from a 1 mW He-Ne laser (632.8 nm) is directed onto a parallel film with an incident angle of 45°. Assume a beam diameter of 1 mm and a film index of 1.414. (See Figure below) Determine (a) The amplitude of the E-vector of the incident beam. (b) The angle of refraction of the laser beam into the film (c) The magnitudes of r' and tt', using the Stokes relations and a reflection coefficient, r 0.280....
A camera with a lens diameter D = 3 mm and a focal length of f...
A camera with a lens diameter D = 3 mm and a focal length of f = 4.25 mm. Assume the wavelength of light is 500 nm and the sensor in the camera is 5 mm x 5 mm and that each pixel has a size of 2μm x 2μm. A) If a vertical meter stick is located 5m from the camera and the image of the meter stick is in focus, how far from the lens is the sensor?...
A typical helium-neon laser found in supermarket checkout scanners emits 633-nm-wavelength light in a 1.1-mm-diameter beam...
A typical helium-neon laser found in supermarket checkout scanners emits 633-nm-wavelength light in a 1.1-mm-diameter beam with a power of 1.0 mW . A. What is the amplitude of the oscillating electric field in the laser beam? Express your answer with the appropriate units. B. What is the amplitude of the oscillating magnetic field in the laser beam? Express your answer with the appropriate units.
List of equations: 3 8 ws - of W Erhv n sin = n, sin 02 Tid E, n, cose, - n, cos E n cos & + n, cose E, 712 n, cose, - n, cose, E n, cose, + n cose, 0 = sin(ng/n) 2,27 77 TWO E=Pt E=MCAT m=pV=PAL E= PALGAT E = mcAT+MH = PALCCAT+H). p=1g/cm (for water) P'=P/CSA OD = -Log(1/1) ty= 1/(4K) T(5,1)=T,+(T.-T, Werfel – 2/KT c = lcal/gH = 540 calg 13 Time...
1) A laser produces a Gaussian beam with a waist immediately outside the laser, with a beam radius of 5 mm, an average power of 1 Watt, and a wavelength of 1 шт. We wish to choose a lens that will focus this beam as tightly as possible, subject to the constraint that the depth of focus must be at least 1 mm. a) What focal length lens should we choose? (Assume an ideal thin lens with no aberrations.) b)What...
P3.4. The spot size is clearly extremely important in determining the power density of a focused laser beam, an important determi- nant of how it may be used in surgery. However, there is a basic limitation on how small a spot one can achieve with a given wavelength laser beam, ; a given diameter laser beam (D); and a lens with focal length, f. This smallest spot sizc is given by: where d is the diameter of the focused laser...
A laser beam of diameter d1 = 1.1 mm is directed along the
optical axis of a thin lens of focal length +6.5 cm (see figure
below).
(a) How far from the lens will the beam be focused?
(b) 1. A second positive lens is placed to the right of the
first. Light emerges from the second lens in a parallel beam of
diameter d2 = 3.8 mm. Thus the combination of lenses acts as a beam
expander. Find the...
4. A laser beam from a 1 mW He-Ne laser (632.8 nm) is directed onto a parallel film with an incident angle of 45°. Assume a beam diameter of 1 mm and a film index of 1.414. (See Figure below) Determine (a) The amplitude of the E-vector of the incident beam. (b) The angle of refraction of the laser beam into the film (c) The magnitudes of r' and tt', using the Stokes relations and a reflection coefficient, r 0.280....
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