We would like to make a helium–neon laser (λ = 632.8nm) that runs on only a...
We would like to make a helium–neon laser (λ = 632.8nm) that runs on only a single cavity mode. The gain line is about 1.5 GHz wide, so we need to make sure the spacing of the cavity modes is that large.
a. What is the length of a cavity that has a free spectral range of 1.5GHz? Should the laser be longer or shorter than this length? Can we expect high power from this laser?
b. What is the longitudinal mode number for this laser? In other words, what is the laser frequency divided by the free spectral range?
c. To keep the laser operating at the center of the gain line, we need to tune it so that this longitudinal cavity mode will be at the center of the gain line, and we need to do so dynamically as the cavity length changes with temperature. How far do we need to move the mirror at the end of the cavity?
Homework Answers
Add Answer to:
We would like to make a helium–neon laser (λ = 632.8nm) that
runs on only a...
A helium-neon (He-Ne) laser has a gain bandwidth (defined as the frequency interval over which the...
A helium-neon (He-Ne) laser has a gain bandwidth (defined as the frequency interval over which the laser gain equals or exceeds the minimum threshold for gain) given by ΔνG=2.5ΔνG=2.5 GHz, centred on λ=633λ=633 nm emission wavelength. a) Determine the maximum length of the He-Ne resonator when only one resonant axial mode can oscillate at any given time. (cm) b) By what length must the resonator be changed in order to tune the frequency of this He-Ne (i.e. with one resonant...
A helium-neon laser with a gain length of 0.2 m is installed in a two-mirror cav-...
A helium-neon laser with a gain length of 0.2 m is installed in a two-mirror cav- ity having mirror reflectivities of 99.9% and 98%. What would be the single-pass gain in the laser tube if the discharge current is sufficiently high for the gain to be four times the threshold value? Assume that there are scattering losses of 0.2% per pass within the cavity.
Light from a Helium-Neon laser (λ = 633 nm) is incident on a regular array of...
Light from a Helium-Neon laser (λ = 633 nm) is incident on a regular array of slits with a slit spacing of a = 1.50 μm and an interference pattern is seen on a screen placed a distance of D = 4.50 m away from the slits, at what distance y from the center of the pattern will the first bright fringe occur? A) 2.10 m B) 3.60 m C) 1.20 m D) 2.40 m
In the physics we have Helium-Neon lasers that produce a wavelength of 632 nm. Suppose that...
In the physics we have Helium-Neon lasers that produce a wavelength of 632 nm. Suppose that we have a diffraction grating that is unlabeled (so we don’t know its slit spacing) and a violet laser pointer whose wavelength we wish to determine. We then shine the Helium-Neon laser on the grating, project the diffraction pattern onto a screen that is 1.00 m from the grating and measure the positions of the diffraction maxima on the screen. Next we remove the...
3- Consider a HeNe laser radiating at spatial TEM mode, wavelength à = 632 nm and...
3- Consider a HeNe laser radiating at spatial TEM mode, wavelength à = 632 nm and spectral line-width AA = 0.1nm. Beam diameter at z, =0 is w, =1.0 mm. Laser resonator consists of two plane mirrors of separation L=1.0 m. a) What is the beam diameter at at 1Km. b) What is divergence angle of beam. c) What is the coherence length of this laser. d) What is the longitudinal frequency separation. (assume refractive index n=1 inside the cavity)...
6. A GaAs laser diode operating at 850 nm has a 500 μm cavity length and a refractive index of n 3.7. The gain-wavelength relationship is Gaussian, given by: g(λ)-g(0) exp[-a-h)2 / 201 a) Calcula...
6. A GaAs laser diode operating at 850 nm has a 500 μm cavity length and a refractive index of n 3.7. The gain-wavelength relationship is Gaussian, given by: g(λ)-g(0) exp[-a-h)2 / 201 a) Calculate the frequency and wavelength spacing (Au) and Δλ). b) If at the halfpower point (g-0.5g(0)) we have λ-ho-2 nm, what is the spectral width of the gain, o?
6. A GaAs laser diode operating at 850 nm has a 500 μm cavity length and a...
2. Suppose your instructor uses a red helium-neon laser ( 632.8 nm in air) to illuminate...
2. Suppose your instructor uses a red helium-neon laser ( 632.8 nm in air) to illuminate two parallel vertical slits much narrower than their separation distance, so ignore any single-slit diff metal foil. The very narrow slits are spaced 0.10 mm apart. (Assume that the slits themselves are raction effects that would result from each slit individually.) a.(3 pts.) If the central (0th-order) maximumn is located at&-o., what is the angular position θ, in degrees, of the T'"-order, 2 -order,...
The Michelson Interferometer What is the geometrical relationship between the planes of mirrors A and B...
The
Michelson Interferometer
What is the geometrical relationship between the planes of
mirrors A and B for each of the three patterns in Fig 2?
so that the absence of a univenal on a magnetic holder on the metal plate between the laser and Splitter 13-3 Experiment 13 The Michelson Interferometer You are now ready to make a measurement of the laser's wavelength. Turn the micrometer screw clockwise all the way to the end of its range. Now turn the...
IN C ONLY As mentioned earlier there are two changes we are going to make from...
IN C ONLY As mentioned earlier there are two changes we are going to make from lab 5, The file you read into data structures can be any length. studentInfo array will be stored in another struct called studentList that will contain the Student pointer and current length of the list. Sometimes data can be used in structs that correlate between variables so it's convenient to store the data in the same struct. Instead of tracking a length variable all...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
A helium-neon laser with a gain length of 0.2 m is installed in a two-mirror cav- ity having mirror reflectivities of 99.9% and 98%. What would be the single-pass gain in the laser tube if the discharge current is sufficiently high for the gain to be four times the threshold value? Assume that there are scattering losses of 0.2% per pass within the cavity.
3- Consider a HeNe laser radiating at spatial TEM mode, wavelength à = 632 nm and spectral line-width AA = 0.1nm. Beam diameter at z, =0 is w, =1.0 mm. Laser resonator consists of two plane mirrors of separation L=1.0 m. a) What is the beam diameter at at 1Km. b) What is divergence angle of beam. c) What is the coherence length of this laser. d) What is the longitudinal frequency separation. (assume refractive index n=1 inside the cavity)...
6. A GaAs laser diode operating at 850 nm has a 500 μm cavity length and a refractive index of n 3.7. The gain-wavelength relationship is Gaussian, given by: g(λ)-g(0) exp[-a-h)2 / 201 a) Calculate the frequency and wavelength spacing (Au) and Δλ). b) If at the halfpower point (g-0.5g(0)) we have λ-ho-2 nm, what is the spectral width of the gain, o?
6. A GaAs laser diode operating at 850 nm has a 500 μm cavity length and a...
2. Suppose your instructor uses a red helium-neon laser ( 632.8 nm in air) to illuminate two parallel vertical slits much narrower than their separation distance, so ignore any single-slit diff metal foil. The very narrow slits are spaced 0.10 mm apart. (Assume that the slits themselves are raction effects that would result from each slit individually.) a.(3 pts.) If the central (0th-order) maximumn is located at&-o., what is the angular position θ, in degrees, of the T'"-order, 2 -order,...
The
Michelson Interferometer
What is the geometrical relationship between the planes of
mirrors A and B for each of the three patterns in Fig 2?
so that the absence of a univenal on a magnetic holder on the metal plate between the laser and Splitter 13-3 Experiment 13 The Michelson Interferometer You are now ready to make a measurement of the laser's wavelength. Turn the micrometer screw clockwise all the way to the end of its range. Now turn the...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
Most questions answered within 3 hours.
-
Thermal Storage Solar heating of a house is much more efficient
if there is a way...
asked 13 minutes ago -
Considering the “fits” for group and job design dimensions,
suppose you had 12 employees with different...
asked 21 minutes ago -
Consider TCP connection management.
How many segments are typically involved in the TCP connection
establishment? What...
asked 31 minutes ago -
1. You placed a stop-loss order to sell 500 shares of AAPL with
a stop price...
asked 38 minutes ago -
Sylva Warehousing desired to locate a central warehouse to serve
five North Carolina markets. Placed on...
asked 40 minutes ago -
A regression was run to determine if there is a relationship
between hours of TV watched...
asked 48 minutes ago -
The theoretical yield of a reaction is the amount of product
obtained if the limiting reactant...
asked 55 minutes ago -
You are an intern at a leading investment bank. Your manager
assigned you a project to...
asked 53 minutes ago -
Please explain how to determine polarity for me.
Rank the following covalent bonds by decreasing
polarity....
asked 55 minutes ago -
1. Express the confidence interval 86.5%±4.6% in interval
form
2. Assume that a sample is used...
asked 1 hour ago -
Suppose in the short run a firm’s production function is given
by Q = L1/2*K1/2, and...
asked 1 hour ago -
Calculation of number of protons, neutrons , and electrons
If given the mass # of 74...
asked 1 hour ago