ME 687 Homework #2 Due Monday, October 4, 2010
Prof. Robert P. Lucht (Email: [email protected])
1. Consider the classical electron oscillator model for the case where an external optical field of
angular frequency acts on the atom. The atomic resonance has
ME 687: Example Problem
Calculation of Raman Scattering Signals
A gas cell contains 50% H2 and 50% N2 by volume at a pressure of 200 kPa and a temperature of 500 K.
A laser beam with a pulse energy of 1.0 J, a pulse length of 1 sec, and a wavelength of 40
ME 687 Homework #1 Due Monday, September 10, 2012
Prof. Robert P. Lucht (Email: [email protected])
1. A collimated laser beam with a Gaussian intensity profile is incident on a positive spherical
lens. The 1/e2 radius w1 of the incident laser beam is 15 mm
ME 687 Homework #1 Due Monday, September 10, 2012
Prof. Robert P. Lucht (Email: [email protected])
1. A collimated laser beam with a Gaussian intensity profile is incident on a positive spherical
lens. The 1/e2 radius w1 of the incident laser beam is 15 mm
ME 687 Homework #2 Due Monday, September 24, 2012
Prof. Robert P. Lucht (Email: [email protected])
1. Consider the classical electron oscillator model for the case where an external optical field of
angular frequency acts on the atom. The atomic resonance
ME 687 Homework #3 Due Wednesday, October 10, 2012
Prof. Robert P. Lucht (Email: [email protected])
1. A combustion researcher wants to measure NO using linear LIF at a particular location in a
combustor where the temperature is 1800 K and the pressure is
ME 687 Homework #3 Due Wednesday, October 10, 2012
Prof. Robert P. Lucht (Email: [email protected])
1. A combustion researcher wants to measure NO using linear LIF at a particular location in a
combustor where the temperature is 1800 K and the pressure is
ME 687 Homework #4 Due Friday, October 22, 2010
Prof. Robert P. Lucht (Email: [email protected])
1. A gas cell contains 0.1 kPa of nitric oxide (NO) in a buffer gas of 50 kPa of argon at a
temperature of 1000 K. A monochromatic laser beam is passed through
ME 687 Homework #4 Due Monday, October 22, 2012
Prof. Robert P. Lucht (Email: [email protected])
1. A gas cell contains 0.1 kPa of nitric oxide (NO) in a buffer gas of 50 kPa of argon at a
temperature of 1000 K. A monochromatic laser beam is passed through
ME 687 Homework #5 Due Monday, November 19, 2012
Prof. Robert P. Lucht (Email: [email protected])
1. A cell is filled with nitrogen (N2) at pressure of 0.8 MPa at a temperature of 1200 K. A 450-nm laser
beam with a pulse energy of 5.0 J and a pulse length
ME 687
Homework #6
Due Friday, December 14, 2012
Prof. Robert P. Lucht (Email: [email protected])
1. A gas cell contains 70% nitrogen and 30% argon (by volume) at a total pressure of 200 kPa
and a temperature of 500K. Monochromatic pump and Stokes lasers a
ME 687 Handout: Diatomic Gases: Population Distributions over Internal Energy Modes 1. Heteronuclear Molecules: Rotational, Vibrational and Electronic Distributions Boltzmann distribution law is applied separately to each mode: for the translational mode
ME 687: Example Problem
Calculation of Raman Scattering Signals
A gas cell contains 50% H2 and 50% N2 by volume at a pressure of 200 kPa and a temperature of 500 K.
A laser beam with a pulse energy of 1.0 J, a pulse length of 1 sec, and a wavelength of 40
ME 687 Example Problem
OH Susceptibility Calculation
Problem Statement: A monochromatic laser is tuned near resonance with the R1(13) transition
in the (0,0) vibrational band of the A2-X2 electronic transition of OH in a flame. The flame
gases are at T =
ME 687 Example Problem
NO Absorption Calculation
Problem Statement: Laser absorption is used to measure the concentration of nitric oxide (NO)
in the exhaust of a gas turbine combustor. A monochromatic laser is tuned over the R22(8.5)
resonance transition
ME 687 Example Problem
NO Polarization Spectroscopy
Problem Statement: Laser-induced polarization spectroscopy is used to measure the
concentration of nitric oxide (NO) in the exhaust of a gas turbine combustor. A monochromatic
probe laser with a pulse en
ME 687 Example Problem
NO Polarization Spectroscopy
Problem Statement: Laser-induced polarization spectroscopy is used to measure the
concentration of nitric oxide (NO) in the exhaust of a gas turbine combustor. A monochromatic
probe laser with a pulse en
CARS Polarization Example Problem: Nonresonant Background Suppression
Frustrated by the nonresonant background interference encountered in the detection of the
O(12) transition of nitrogen for the cell conditions of Problem 1 of HW#5, part (b) (10% N2,
90
CARS Polarization Example Problem: Nonresonant Background Suppression
Frustrated by the nonresonant background interference encountered in the detection of the
O(12) transition of nitrogen for the cell conditions of Problem 1 of HW#5, part (b) (10% N2,
90
ME 687
CARS Signal Level Example Problem
A gas cell contains nitrogen (N2) at a pressure of 100 kPa and a temperature of 500K.
Monochromatic pump and Stokes lasers are used to generate a CARS signal from the nitrogen
Q(6) line in the 0 1 vibrational band.
ME 687
CARS Signal Level Example Problem
A gas cell contains nitrogen (N2) at a pressure of 100 kPa and a temperature of 500K.
Monochromatic pump and Stokes lasers are used to generate a CARS signal from the nitrogen
Q(6) line in the 0 1 vibrational band.
1
ME 687 Example Problem: Electron Distribution for a Superposition Quantum State of
the Hydrogen Atom
A hydrogen atom is in a superposition state of two quantum eigenstates. The wavefunction for the atom
is given by
( r , t ) = C100 100 ( r , , ) exp (
ME 687 Example Problem
Laser-Induced Fluorescence Detection Limit Calculation
Problem Statement: A monochromatic laser is used to excite the Q1(8) transition in the (0,0)
vibrational band of the A2-X2 electronic transition of OH in a flame. The flame gase
ME 687 Example Problem
Laser-Induced Fluorescence Detection Limit Calculation
Problem Statement: A monochromatic laser is used to excite the Q1(8) transition in the (0,0)
vibrational band of the A2-X2 electronic transition of OH in a flame. The flame gase
ME 687 Example Problem
OH Susceptibility Calculation
Problem Statement: A monochromatic laser is tuned near resonance with the R1(13) transition
in the (0,0) vibrational band of the A2-X2 electronic transition of OH in a flame. The flame
gases are at T =
ME 687 Example Problem
NO Absorption Calculation
Problem Statement: Laser absorption is used to measure the concentration of nitric oxide (NO)
in the exhaust of a gas turbine combustor. A monochromatic laser is tuned over the R22(8.5)
resonance transition