{MJC_Logo}

Home Products Contact Terms & conditions

 

Light scattering calculator: coated sphere (MjcLscCoatSph)

Overview

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 (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 (VSP)

Both viewers also calculate and display in graphical form the polarization factor, defined as -M12 / M11, where Mij are elements of the scattering (Mueller) matrix.

Please also inquire how we can modify the calculator and/or the companion products to better fulfill your specific needs.

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.
[Menu]

Program control panel

MjcLscCoatSph control panel
[Menu]

Input data

The user manually enters required data in edit boxes of the main form. For more detail please refer to the program help file (or download a zipped help file). NOTE: That help file has been created for an earlier version of this calculator and will be updated shortly to reflect the most recent changes.
[Menu]

Output data

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 |S1|2, |S2|2, and S11 as functions of theta. 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 scattering 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 scattering 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 = PI 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.

Help file

For more detail please refer to the program help file (or download a zipped help file). NOTE: That help file has been created for an earlier version of this calculator and will be updated shortly to reflect the most recent changes.
[Menu]

Language

C++ for WINxx.
[Menu]

System requirements

Windows 9x/Me/NT. This program uses approximately 760 kB of memory.
[Menu]

How to order

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:
Your name and title:
Company name:
Mailing address:
Telephone:
Fax:
E-mail:

UPDATE INFO:
Would you like to receive information on

  • product update(s)?:
  • similar products from MJC Optical Technology?:

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.
[Menu]

Last modified: . Copyright 2000 MJC Optical Technology. All rights reserved.