Light scattering calculator: coated sphere (MjcLscCoatSph)
The MjcLscCoatSph light scattering program calculates an angular scattering pattern as well as scattering, absorption, and attenuation parameters of a single coated sphere (core-shell sphere) according to the Aden/Kerker theory as modified by Toon and Ackerman (1988) and by Miroslaw Jonasz.
You may also want to consider purchasing the following companion products:
- A spreadsheet in MS Excel™ for viewing and archiving scattering patterns (|S1|2, |S2|2, and M11) as functions of the scattering angle (spreadsheet name: VAP)
- A spreadsheet in MS Excel™ for viewing and archiving integral parameters of the particle (attenuation, scattering, and absorption efficiencies, and three scattering functions: |S1|2, |S2|2, and M11 at a fixed scattering angle) as functions of the particle size (spreadsheet name: VSP)
For definitions of the symbols used here please see the Output section of the Help file.
References
Aden A. L., Kerker M. 1951. Scattering of electromagnetic waves from two concentric spheres. J. Appl. Phys. 22: 1242-1246.
Toon O. B., Ackerman T. P. 1981. Algorithms for the calculation of scattering by stratified spheres. Appl. Opt. 20: 3657-3660.
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The user manually enters required data in edit boxes of the main form. For more detail
please refer to the program help file.
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For definitions of the symbols used here please see the Output section of the Help file. The output data can be arranged by the user as functions of:
- scattering angle, theta
(with a constant particle size and constant fractional coating thickness)
The program calculates angular functions |S1|2, |S2|2, and M11 dependent on the scattering angle, θ. The program also calculates efficiencies, cross sections (where applicable), and Mie factors for attenuation, scattering, and absorption.
- particle size
The program calculates the attenuation, scattering, and absorption efficiencies, and three angular functions: |S1|2, |S2|2, and M11 at a fixed scattering angle as functions of x or the absolute particle diameter. The following options are possible:
- variable particle (i.e. shell) size, constant shell thickness
- variable particle (i.e. shell) size, constant fractional (ratio) shell thickness
- variable particle (i.e. shell) size, constant core size
- constant particle (i.e. shell) size, variable fractional (ratio) shell thickness (0-0.999999)
- wavelength of light (in the medium surrounding the particle), λ (with a constant particle size, constant fractional coating thickness, and user-supplied wavelength-dependent complex refractive indices for the core and coating(shell))
The program calculates the attenuation, scattering, and absorption efficiencies, and three angular functions: |S1|2, |S2|2, and M11 at a fixed scattering angle as functions of x.
The particle size can be specified as follows:
- relative size, x = π D / λ, where D is the particle diameter and λ is the wavelength of light in the medium surrounding the particle
- absolute particle diameter, µm.
The output can be viewed as text, saved to a text file, or copied to the Windows clipboard for pasting into a spreadsheet. Companion spreadsheets in MS ExcelTM (available separately, please see the order info) simplify viewing in graphical form (ready for exporting to a report) of:
- angular scattering patterns
- integral parameters (attenuation, scattering, absorption, scattering at a fixed angle) as functions of the particle size.
For more detail please refer to the program help file.
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C++ for WINxx.
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Windows. This program uses approximately 760 kB of memory.
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Please contact MJC Optical Technology by e-mail, telephone / fax, or mail and provide the following data (please copy the following order data section to your
order request and complete it):
PRODUCT:
- Light scattering calculator for coated sphere (MjcLscCoatSph): CA$70 (single-user copy)
Number of single-user licences:
- A companion spreadsheet in MS Excel™ for viewing in graphical form of angular scattering patterns (VAP): CA$10 (single-user licence)
Number of single-user licences:
- A companion spreadsheet in MS Excel™ for viewing in graphical form of integral parameters (attenuation, scattering, absorption, scattering at a fixed angle) as functions of particle size (VSP): CA$10 (single-user licence)
Number of single-user licences:
- Subtotal (CA$):
DELIVERY:
- E-mail delivery and order handling: CA$5
- Subtotal (CA$):
TAXES:
- Canadian residents (except residents of Québec) please add 5% GST
- Québec residents please add 13% QST
- Subtotal (CA$):
ORDER TOTAL (CA$):
BUYER INFO:
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MJC INFO:
MJC Optical Technology
217 Cadillac Street
Beaconsfield, QC H9W 2W7
Canada
Telephone: +1 514 695 4132
Fax: +1 514 695 3315
E-mail: info@mjcopticaltech.com
Internet: http://www.mjcopticaltech.com
Please see our privacy statement regarding the use of these data. We will ship the product within 5 business days of the date your payment (a company cheque or money order in Canadian funds only) is received by our bank. If you do not receive the product within 5 business days of the date your payment is received, please re-contact MJC Optical Technology.
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