Does fouriernc contain sans serif fonts?

Question

Does fouriernc contain sans serif font? If not, which type is actually used for it? Is this type scalable?

My problem shows not so minimal working example:

\documentclass{memoir}
\usepackage{fouriernc}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{empheq,mathtools,xspace} %   
\newcommand{\T}{\text{\sffamily\slshape T\,}\xspace}
\usepackage{microtype}

\begin{document}
I would like \T to be slanted and sans serif letter. I use it in text as well as in equations:
\[\T = a + b \quad\mathrm{and}\quad \int_\T = \cdots    \]
How to achieve this with considering used fonts?

\bigskip\sffamily
Transformacijo pravokotnega pulza preprosto izračunamo z definiciji Fourierove transformacije, v kateri upoštevamo lastnosti simetrij:
\begin{align}
X(\omega)   &   = \int^{\infty}_{\infty} p_\T \exp(-j\omega t)\; dt \\
            &   = \int^{-\T/2}_{\T/2} \sin(\omega t)\, dt
                = 2\frac{\sin(\omega\T/2)}{\omega}
                = \T\frac{\sin(\omega\T/2)}{\omega\T/2}
                            \notag                                  \\
            &   = \T\mathrm{Sa}(\omega\T/2)\ ,
\end{align}
kjer je $p_\T$ pravokotni pulz.
\end{document} 

which gives error:

pdfTeX error (font expansion): auto expansion is only possible with scalable fonts.

If I remove microtype package, all works fine. From this I have concluded, that sans serif font are not part of fouriernc and that for it is used some substitution which is can not be used with microtype. Do I have right?

Which fonts for sans serif is the most accordant with fouriernc? I prefer one which has the same height for lowercase and uppercase letters as that of roman font.

Answer 1

fouriernc does not specify a sans serif font. By default, you will therefore get Computer Modern Sans. Since you are loading fontenc with option T1, these will be postscript type1 versions from, usually, cm-super. And, indeed, completing your document and compiling to PDF throws no error and shows that all fonts are, indeed, scalable type1:

name                                 type              encoding         emb sub uni object ID
------------------------------------ ----------------- ---------------- --- --- --- ---------
TAXDKT+CenturySchL-Roma              Type 1            Custom           yes yes no       7  0
MRDFER+SFSI1000                      Type 1            Custom           yes yes no       8  0
TYVRVL+Fourier-Math-Symbols          Type 1            Builtin          yes yes no       9  0
DRJIAH+CenturySchL-Ital              Type 1            Custom           yes yes no      10  0
HDYCOO+Fourier-Math-Extension        Type 1            Builtin          yes yes no      11  0
ZUELID+SFSI0800                      Type 1            Custom           yes yes no      12  0
KPCTUF+CenturySchL-Bold              Type 1            Custom           yes yes no      13  0
LTVCOH+SFSX0900                      Type 1            Custom           yes yes no      14  0
AOTEQD+SFSS0900                      Type 1            Custom           yes yes no      15  0
WSBTSK+Fourier-Math-Letters-Italic   Type 1            Builtin          yes yes no      16  0
YXUCWV+SFSI0900                      Type 1            Custom           yes yes no      17  0

This is not to say that CM is a great match in this case, but scalability ought not to be a problem. Check that cm-super is installed. Or load lmodern before loading fouriernc.