SED navigation bar go to SED home page go to Dataplot home page go to NIST home page SED Home Page SED Staff SED Projects SED Products and Publications Search SED Pages
Dataplot Vol 2 Vol 1

SYNCH

Name:
    SYNCH (LET)
Type:
    Library Function
Purpose:
    Compute the synchrotron radiation function.
Description:
    The first synchrotron radiation function is defined as:

      f(x,1) = x*INTEGRAL[K(5/3)(t)dt], x >= 0 and where the integral is defined from x to positive infinity

    where Kn is the modified Bessel function of order n.

    The second synchrotron radiation function is defined as:

      f(x,2) = x*K(2/3)(x) x >= 0 and where the integral is defined from x to positive infinity

    where Kn is the modified Bessel function of order n.

    Dataplot computes this function using ACM Algorithm 757 (see Reference: below).

Syntax 1:
    LET <y> = SYNCH1(<x>)             <SUBSET/EXCEPT/FOR qualification>
    where <x> is a non-negative number, variable or parameter;
                  <y> is a variable or a parameter (depending on what <x> is) where the computed synchrotron radiation function values are stored;
    and where the <SUBSET/EXCEPT/FOR qualification> is optional.

    This syntax computes the order 1 synchrotron radiation function.

Syntax 2:
    LET <y> = SYNCH2(<x>)             <SUBSET/EXCEPT/FOR qualification>
    where <x> is a non-negative number, variable or parameter;
                  <y> is a variable or a parameter (depending on what <x> is) where the computed synchrotron radiation function values are stored;
    and where the <SUBSET/EXCEPT/FOR qualification> is optional.

    This syntax computes the order 2 synchrotron radiation function.

Examples:
    LET A = SYNCH1(2)
    LET A = SYNCH2(X)
    LET X2 = SYNCH1(X) FOR X1 = 0.1 0.1 3.0
Default:
    None
Synonyms:
    None
Related Commands:
    ABRAM = Compute the Abramowitz integral.
    CLAUSN = Compute the Clausen integral.
    DEBEYE = Compute the Debeye function.
    EXP3 = Compute the cubic exponential integral.
    GOODST = Compute the Goodwin and Stanton integral.
    LOBACH = Compute the Lobachevski integral.
    STROM = Compute the Stromgren integral.
    TRAN = Compute the transport integral.
Reference:
    "ACM Transactions of Mathematical Software", Allan MacLead, Vol. 22, No. 3, September, 1996, pp. 288-301.
Applications:
    Special Functions
Implementation Date:
    1999/6
Program:
    LINE SOLID DOTTED
    PLOT SYNCH1(X) FOR X = 0 0.01 10 AND
    PLOT SYNCH2(X) FOR X = 0 0.01 10
    plot generated by sample program

Date created: 6/5/2001
Last updated: 4/4/2003
Please email comments on this WWW page to alan.heckert@nist.gov.