Single crystal two-beam polarizing prism without angular dispersion and method of manufacturing thereof

A method of manufacturing a single crystal two-beam polarizing prism without angular dispersion for polarization of a non-polarized incident beam entering said prism and dividing said non-polarized incident beam into two orthogonally polarized beams separated in air at a given angle Δ, said incident beam is characterized by a dimension of cross section thereof, said method comprising the steps of:

• selecting an optical birefringent crystal for manufacturing said prism from uniaxial and biaxial crystals, said uniaxial crystal being characterized by an optical axis, and said biaxial crystals being characterized by the three axes of the optical indicatrix, said indicatrix having three main section planes, each of said main section planes being formed by two of said three axes, said prism having a first base plane, a second base plane, a third base plane, a fourth base, and a fifth base plane, said first base plane and said fourth base plane being parallel to each other, said second base plane and said third base plane being parallel to each other, said first base plane and said second base plane forming a first angle αl, said first base plane and said third base plane forming a second angle βl, said second base plane and said fourth base plane forming a third angle γl, said third base plane and said fifth base plane forming a fourth angle ψl, and said fourth base plane and said fifth base plane forming a fifth angle φl which is calculated from the following formula:
• φl=540−(αl+βl+γl+ψl),
• where
• αl=(180°−Δ)/2,
• βl=(180°−αl),
• γl=βl, and
• ψl=βl.
• when said incident beam entering said prism through said first base plane, said incident beam being divided inside said prism into o-beam and an e-beam so that said o-beam exits said prism through said fifth base plane along a normal to said fifth base plane, and said e-beam exits said prism through said fourth base plane along a normal to said fourth base plane, said e-beam being reflected inside said prism with even number of total internal reflections;
• determining orientation of said optical axis for said uniaxial crystal and said three axes of the optical indicatrix for said biaxial crystals with respect to a normal to said second base plane;
• calculating angular and linear parameters of said prism from a given value of said angle Δ and said dimension of cross section, said angular and linear parameters including at least lengths of said first base plane, said second base plane, said third base planes and said angles αl, βl, γl, and ψl,
• forming said second base plane and said third base plane parallel to each other at a distance based on said angles and lengths;
• forming said first base plane and said fourth base plane parallel to each other at a distance based on said angles and lengths;
• and
• forming said fifth base plane at such a distance from the apex formed by the intersection of said third base plane and said fourth base plane that automatically produces calculated lengths of said the third base plane and said fourth base planes.