4.1 The results (WS) |
Experiment E: Inverse tests found from the WS scheme, 4 bands (optimal) top-hat T-transform, triangular U-transform'Fig E.3a (top left): Field (real part) after acting with TU on a delta function at wavenumber 0.35 units and level 21. Fig E.3b (top right): Imaginary part of field. Fig E.3c (bottom left): Field after acting with UT on a delta function at latitude 45 degrees and level 21. ![]() Fig. E.4a (below left): Real part of sub-matrix of TU operator (input and output space is wavenumber, at fixed level 21). Fig. E.4b (below centre left): Imaginary part. Fig. E.4c (below centre right): Real part of sub-matrix of TU operator (input and output space is level, at a fixed wavenumber). Fig. E.4d (below right): Imaginary part. ![]() Fig. E.5a (below left): Sub-matrix of UT operator (input and output space is latitude, at fixed level 21). Fig. E.5a (below right): Sub-matrix of UT operator (input and output space is level, at fixed latitude 45 degrees). ![]() Experiment G: Inverse tests found from the WS scheme, 4 bands (optimal) top-hat T-transform, top-hat U-transform'Fig G.3a (top left): Field (real part) after acting with TU on a delta function at wavenumber 0.35 units and level 21. Fig G.3b (top right): Imaginary part of field. Fig G.3c (bottom left): Field after acting with UT on a delta function at latitude 45 degrees and level 21. ![]() Fig. G.4a (below left): Real part of sub-matrix of TU operator (input and output space is wavenumber, at fixed level 21). Fig. G.4b (below centre left): Imaginary part. Fig. G.4c (below centre right): Real part of sub-matrix of TU operator (input and output space is level, at a fixed wavenumber). Fig. G.4d (below right): Imaginary part. ![]() Fig. G.5a (below left): Sub-matrix of UT operator (input and output space is latitude, at fixed level 21). Fig. G.5a (below right): Sub-matrix of UT operator (input and output space is level, at fixed latitude 45 degrees). ![]() Experiment I: Inverse tests found from the WS scheme, 4 bands (optimal) triangular T-transform, triangular U-transform'Fig I.3a (top left): Field (real part) after acting with TU on a delta function at wavenumber 0.35 units and level 21. Fig I.3b (top right): Imaginary part of field. Fig I.3c (bottom left): Field after acting with UT on a delta function at latitude 45 degrees and level 21. ![]() Fig. I.4a (below left): Real part of sub-matrix of TU operator (input and output space is wavenumber, at fixed level 21). Fig. I.4b (below centre left): Imaginary part. Fig. I.4c (below centre right): Real part of sub-matrix of TU operator (input and output space is level, at a fixed wavenumber). Fig. I.4d (below right): Imaginary part. ![]() Fig. I.5a (below left): Sub-matrix of UT operator (input and output space is latitude, at fixed level 21). Fig. I.5a (below right): Sub-matrix of UT operator (input and output space is level, at fixed latitude 45 degrees). ![]() Experiment K: Inverse tests found from the WS scheme, 1 band (optimal) top-hat T-transform, triangular U-transform'Fig K.3a (top left): Field (real part) after acting with TU on a delta function at wavenumber 0.35 units and level 21. Fig K.3b (top right): Imaginary part of field. Fig K.3c (bottom left): Field after acting with UT on a delta function at latitude 45 degrees and level 21. ![]() Fig. K.4a (below left): Real part of sub-matrix of TU operator (input and output space is wavenumber, at fixed level 21). Fig. K.4b (below centre left): Imaginary part. Fig. K.4c (below centre right): Real part of sub-matrix of TU operator (input and output space is level, at a fixed wavenumber). Fig. K.4d (below right): Imaginary part. ![]() Fig. K.5a (below left): Sub-matrix of UT operator (input and output space is latitude, at fixed level 21). Fig. K.5a (below right): Sub-matrix of UT operator (input and output space is level, at fixed latitude 45 degrees). ![]() Experiment M: Inverse tests found from the WS scheme, 10 bands (optimal) top-hat T-transform, triangular U-transform'Fig M.3a (top left): Field (real part) after acting with TU on a delta function at wavenumber 0.35 units and level 21. Fig M.3b (top right): Imaginary part of field. Fig M.3c (bottom left): Field after acting with UT on a delta function at latitude 45 degrees and level 21. ![]() Fig. M.4a (below left): Real part of sub-matrix of TU operator (input and output space is wavenumber, at fixed level 21). Fig. M.4b (below centre left): Imaginary part. Fig. M.4c (below centre right): Real part of sub-matrix of TU operator (input and output space is level, at a fixed wavenumber). Fig. M.4d (below right): Imaginary part. ![]() Fig. M.5a (below left): Sub-matrix of UT operator (input and output space is latitude, at fixed level 21). Fig. M.5a (below right): Sub-matrix of UT operator (input and output space is level, at fixed latitude 45 degrees). ![]() |