Hollow-core fibre of non-bandgap type, comprising: - a hollow core region axially extending along the hollow-core fibre and having a smallest transverse core dimension, wherein the core region is adapted for guiding a transverse fundamental core mode and transverse higher order core modes, and - an inner cladding region comprising an arrangement of anti-resonant elements (AREs) (21, 21A, 21B) surrounding the core region along the hollow-core fibre, each having a smallest transverse ARE dimension (d i) and being adapted for guiding transverse ARE modes, - the core region and the AREs (21, 21A, 21B) are configured to provide phase matching of the higher order core modes and the ARE modes, and - the ARE dimension (d i) and the core dimension are selected such that a ratio of the ARE and core dimensions (d i /D) is approximated to a quotient of zeros of Bessel functions of first kind (u lm,ARE /u lm,core), multiplied with a fitting factor in a range from 0.96 to 1.20, with m being the m-th zero of the Bessel functions of first kind of order 1, said zeros of the Bessel functions describing the LP lm ARE modes and LP lm higher order core modes, respectively, wherein - the AREs (21, 21A) have a first smallest transverse ARE dimension (d 1), and - the ratio of the first ARE dimension and the core dimension (d 1 /D) is approximated to a quotient of zeros of Bessel functions of first kind (u 01,ARE /u 11,core), multiplied with the fit- ting factor, said zeros (u 01,ARE), (u 11,core) describing the LP 01 ARE modes and the LP 11 core mode, respectively, - a first group of the AREs has the first ARE dimension (d 1), and - a second group of the AREs has a second smallest transverse ARE dimension (d 2) smaller than the first ARE dimension (d 1) of the first group of the AREs, and characterized in that - the ratio of the second ARE dimension and the core dimension (d 2 /D) is approximated to a quotient of zeros of Bessel functions of first kind (u 01,ARE /u 21,core), multiplied with the fitting factor, said Bessel functions (u 01,ARE), (u 21,core) describing the LP 01 ARE modes and the LP 21 core mode, respectively, wherein optionally the ratio of the second ARE dimension and the core dimension (d 2 /D) is selected in a range from 0.3 to 0.7. - a hollow core region axially extending along the hollow-core fibre and having a smallest transverse core dimension, wherein the core region is adapted for guiding a transverse fundamental core mode and transverse higher order core modes, and - an inner cladding region comprising an arrangement of anti-resonant elements (AREs) (21, 21A, 21B) surrounding the core region along the hollow-core fibre, each having a smallest transverse ARE dimension (d i) and being adapted for guiding transverse ARE modes, - the core region and the AREs (21, 21A, 21B) are configured to provide phase matching of the higher order core modes and the ARE modes, and - the ARE dimension (d i) and the core dimension are selected such that a ratio of the ARE and core dimensions (d i /D) is approximated to a quotient of zeros of Bessel functions of first kind (u lm,ARE /u lm,core), multiplied with a fitting factor in a range from 0.96 to 1.20, with m being the m-th zero of the Bessel functions of first kind of order 1, said zeros of the Bessel functions describing the LP lm ARE modes and LP lm higher order core modes, respectively, wherein - the AREs (21, 21A) have a first smallest transverse ARE dimension (d 1), and - the ratio of the first ARE dimension and the core dimension (d 1 /D) is approximated to a quotient of zeros of Bessel functions of first kind (u 01,ARE /u 11,core), multiplied with the fit- ting factor, said zeros (u 01,ARE), (u 11,core) describing the LP 01 ARE modes and the LP 11 core mode, respectively, - a first group of the AREs has the first ARE dimension (d 1), and - a second group of the AREs has a second smallest transverse ARE dimension (d 2) smaller than the first ARE dimension (d 1) of the first group of the AREs, and characterized in that - the ratio of the second ARE dimension and the core dimension (d 2 /D) is approximated to a quotient of zeros of Bessel functions of first kind (u 01,ARE /u 21,core), multiplied with the fitting factor, said Bessel functions (u 01,ARE), (u 21,core) describing the LP 01 ARE modes and the LP 21 core mode, respectively, wherein optionally the ratio of the second ARE dimension and the core dimension (d 2 /D) is selected in a range from 0.3 to 0.7.