Functions
void	CWO::Re ()
	Taking only the real part of complex amplitude.
void	CWO::Im ()
	Taking only the imaginary part of complex amplitude.
void	CWO::Conj ()
	Calculating the complex conjugation of complex amplitude.
void	CWO::Intensity ()
	Calculating the absolute square (light intensity) of complex amplitude.
void	CWO::Amp ()
	Calculating the amplitude of complex amplitude.
void	CWO::Phase (float offset=0.0f)
	Calculating complex amplitude with the constant amplitude .
void	CWO::Arg (float scale=1.0f, float offset=0.0f)
	Calculating the argument of complex amplitude with real value from $-\pi$ to $+\pi$ . .
void	CWO::Expi ()
void	CWO::Arg2Cplx (float scale=1.0, float offset=0.0)
void	CWO::Cart2Polar ()
void	CWO::Polar2Cart ()
void	CWO::ReIm (CWO &re, CWO &im)
	replace the real and imaginary parts.

Detailed Description

Function Documentation

void CWO::Re ( )

Taking only the real part of complex amplitude.

   @note

$Re[a] \leftarrow Re[a]$
$Im[a] \leftarrow 0$

Examples:: Amplitude CGH.

void CWO::Im ( )

Taking only the imaginary part of complex amplitude.

   @note

$Re[a] \leftarrow Im[a]$
$Im[a] \leftarrow 0$

void CWO::Conj ( )

Calculating the complex conjugation of complex amplitude.

   @note

$Re[a] \leftarrow Re[a]$
$Im[a] \leftarrow -Im[a]$

void CWO::Intensity ( )

Calculating the absolute square (light intensity) of complex amplitude.

   @note

$Re[a] \leftarrow Re[a]^2+Im[a]^2$
$Im[a] \leftarrow 0$

Examples:: Phase shifting digital holography, Shifted-Fresnel diffraction, simple_diffraction.cpp, simple_diffraction_with_gpu.cpp, and Using CPU threads.

void CWO::Amp ( )

Calculating the amplitude of complex amplitude.

   @note

$Re[a] \leftarrow \sqrt{Re[a]^2+Im[a]^2}$
$Im[a] \leftarrow 0$

void CWO::Phase ( float offset = 0.0f )

Calculating complex amplitude with the constant amplitude .

   @param offset : adjust the phase distribution
   @note

$\theta=\tan^{-1}\frac{Im[a]}{Re[a]}$
$Re[a] \leftarrow \cos(\theta)$
$Im[a] \leftarrow \sin(\theta)$

void CWO::Arg	(	float	scale = `1.0f`,
		float	offset = `0.0f`
	)

Calculating the argument of complex amplitude with real value from $-\pi$ to $+\pi$ .
.

   @param scale : adjust scale, ex. if setting scale=1.0, the phase range is \f-$\pi\f to + \form#21. if setting scale=1/\f-2$\pi\f, the phase range is -0.5 to +0.5.
   @param offset : adjust the phase range, ex. if setting offset=CWO_PI, the phase range in the phase distribution is 0 to \form#13.
   @note

$Re[a] \leftarrow tan^{-1}(\frac{Im[a]}{Re[a]})+offset$
$Im[a] \leftarrow 0$

        //sample code of generating kinoform
        CWO a;
        a.Load("test.bmp");
        a.Diffract(0.1);
        a.Arg();//This kinoform has the argument range of -pi to +pi
        a.SaveAsImage("kinoform.bmp",CWO_SAVE_AS_RE);

        //sample code of generating kinoform.
        CWO a;
        a.Load("test.bmp");
        a.Diffract(0.1);
        a.Arg(CWO_PI);//This kinoform has the argument range of 0 to 2pi
        a.SaveAsImage("kinoform.bmp",CWO_SAVE_AS_RE);

Examples:: Kinoform.

void CWO::Expi ( )

I do not recommend to use this function. I will abolish the function in future CWO++ library.

void CWO::Arg2Cplx	(	float	scale = `1.0`,
		float	offset = `0.0`
	)

Convering argument (real value) to complex amplitude.
Concreately, the following calculation is done.

    @param offset : .
    @note

$Re[a] \leftarrow tan^{-1}(\frac{Im[a]}{Re[a]})+offset$
$Im[a] \leftarrow 0$

        //sample code of generating kinoform
        CWO a;
        a.Load("test.bmp");
        a.Diffract(0.1);
        a.Arg();//This kinoform has the argument range of -pi to +pi
        a.SaveAsImage("kinoform.bmp",CWO_SAVE_AS_RE);

void CWO::ReIm	(	CWO &	re,
		CWO &	im
	)

replace the real and imaginary parts.

   @param re : 
   @param im : 
   @note
   CWO a @n

$Re[a] \leftarrow Re[re]$
$Im[a] \leftarrow Re[im]$

        //The real and imaginary parts of c[2] are replaced by the real parts of c[0] and c[1], respectively 
        CWO c[3];
        c[2].ReIm(c[0],c[1]);

Examples:: Phase shifting digital holography.

Functions

Detailed Description

Function Documentation