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